Abstract group data - 21499084800000000.gn

Formats: - HTML - YAML - JSON - 2025-11-06T04:36:45.036751

• 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': '8.5', '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': [[480445590322049307009770781877923328798566317549, 290956180988349717375238326802604772555675258148, 479895040502061488382456220880827820795087191737], [480445590322049307009770781878402774528849837584, 290956182177446192317253567551080695069595258208, 479895040502061488382456220880827820787942084502], [480445590322049307009770781878288243177002925620, 290956181865364796875238862849942407084955258218, 479895040502061488382456220880827820614543505363], [480445590322049307009772593716005564130437037584, 290956180988349717375237756934235789308580323828, 479895040502061488382455651012458837547993431711], [480445590322049307009770755974815647741880237593, 290956180988349717375238352705712453612361706068, 479895040502061488382456194977720139738401111745], [480445591189863030055746222292226058465125511149, 290956182168754651859787503132744775105435258208, 479895040198145371724038978441813346984675671737], [480445590313102858554025201852237916385127082909, 290956180996769904157116519767955748944795258169, 479895040476274666362954279652456466710776151737], [459524685623385262539372304752002592482437037549, 271081321524618901043464052821353486482331258148, 501352731571283360309662833048512447636685987897], [480418062815866854319678175719685963707033517549, 290942045241931700519197853600147319815067258148, 479908432261825924826285068860961250862286465977], [480445590322049316450420595390634652184422685469, 290956180988349717375237756934235789308581140308, 479895040502061488088456745719532312454350839657], [480445590322049333230168418485315331927909601869, 290956180988349717375238301001678975842407287028, 479895040502061479529805357690707514090701700617], [480445591207484573291649510890611939723672339949, 290956180988349717375238326802713257239965517348, 479895040780190783021370282267577259641062084537], [480445590009458095571197045962086056021664755949, 290956180988349717375238326802604437441884800548, 479895040501790134706868349427842877294811358137], [481477499810564492987027012347573191373649837549, 290956180988349717375238326802713256965497600548, 480968613243177143296068867288082311752079703737], [419774966695923578045609943882545196472772525549, 290956180988349717375238326802348342849074867748, 418715158011560384651581691640354981446977879737], [480445590322049342659526071086481697698476922349, 271590580388994258736430445809895791786907258148, 479895040502061479540290935679890441185679703737], [480445590322049315546644431005911422946976755949, 209350516917141917926694227377574957546395258148, 479895040502061462162058584272948902499469655737], [480445590322049307009770781877923328798566317549, 126146709617054765607727455190686063559298623398, 564172040613657022490170427115498358260812071004], [355895106485578896488983074487400756647681577538, 290956180988349717375238326802604772555675258148, 375219788132113153113680104318122324032599593537], [564199939522955575011041275491917868554762112008, 126119553496375092656049580162369207148545530121, 479895040502061488382456220880827820795087191737], [711239651610718788948626383260923390108848723276, 250160416843329714344851477244071689217474140623, 668847293279101269374459614007130795796894476105], [565741479547627016409258790610585987077352243064, 126119181224655895561394870773586784073486643995, 419747439762322085022535415189218351559994384591]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 171992678400000000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': None, 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': None, 'center_label': '1.1', 'center_order': None, 'central_product': None, 'central_quotient': '21499084800000000.gn', 'commutator_count': None, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5'], 'composition_length': 15, 'conjugacy_classes_known': False, 'counter': 170, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': None, 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 240, 'exponents_of_order': [23, 8, 8], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': None, 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '21499084800000000.gn', 'hash': 6590876050151081010, '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': 'A_5^8.C_2\\wr C_4.C_2', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '21499084800000000.gn', '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': 'A5^8.C2wrC4.C2', 'ngens': 3, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': None, 'number_characteristic_subgroups': 15, 'number_conjugacy_classes': None, 'number_divisions': None, 'number_normal_subgroups': 29, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 21499084800000000, 'order_factorization_type': 321, 'order_stats': None, 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': None, 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 8, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 2], 'quasisimple': False, 'rank': 3, 'rational': None, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 40, 'gens': [479895040502061488382456220880827820795087191737, 290956180988349717375238326802604772555675258148, 480445590322049307009770781877923328798566317549]}}, 'schur_multiplier': None, 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 2, 2], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 500, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_5^8.C_2\\wr C_4.C_2', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': False}
• ['group_order', 'group_counter'] [21499084800000000, 170] does not appear in gps_conj_classes
• group 21499084800000000.gn does not appear in gps_qchar
• group 21499084800000000.gn 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: 167744430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 21499084800000000, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 30, 'label': '21499084800000000.gn.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': '21499084800000000.gn', 'subgroup_hash': None, 'subgroup_order': 21499084800000000, 'subgroup_tex': 'A_5^8.C_2\\wr C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 10749542400000000, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10749542400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 167744652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10749542400000000.da', 'subgroup_hash': None, 'subgroup_order': 10749542400000000, 'subgroup_tex': 'A_5^8.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10749542400000000.cg', 'subgroup_hash': None, 'subgroup_order': 10749542400000000, 'subgroup_tex': 'A_5^8.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 10749542400000000, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.2._.D', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10749542400000000.cs', 'subgroup_hash': None, 'subgroup_order': 10749542400000000, 'subgroup_tex': 'A_5^8.(D_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.2._.E', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10749542400000000.da', 'subgroup_hash': None, 'subgroup_order': 10749542400000000, 'subgroup_tex': 'A_5^8.C_2\\wr C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.2._.F', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10749542400000000.cg', 'subgroup_hash': None, 'subgroup_order': 10749542400000000, 'subgroup_tex': 'A_5^8.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 10749542400000000, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.2._.G', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10749542400000000.cz', 'subgroup_hash': None, 'subgroup_order': 10749542400000000, 'subgroup_tex': 'A_5^8.(C_4.D_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5374771200000000, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5374771200000000.i', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5374771200000000, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5374771200000000, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5374771200000000, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5374771200000000, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5374771200000000.j', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.(C_2^3.C_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 5374771200000000, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5374771200000000.i', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 5374771200000000, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '5374771200000000.n', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.D_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': 5374771200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': 5374771200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': '5374771200000000.o', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.Q_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': '5374771200000000.t', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': 5374771200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': 5374771200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.4._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.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': 4, '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': '5374771200000000.t', 'subgroup_hash': None, 'subgroup_order': 5374771200000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2687385600000000, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2687385600000000, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2687385600000000, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 167744686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2687385600000000, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 167744708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.\\OD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 167744791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': 2687385600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': '2687385600000000.o', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.Q_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 167744797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': '2687385600000000.j', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': '2687385600000000.p', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.\\SD_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 167744799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': '2687385600000000.n', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': '2687385600000000.q', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': '2687385600000000.l', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.D_4:C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': '2687385600000000.q', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.8._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.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': 8, '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': '2687385600000000.n', 'subgroup_hash': None, 'subgroup_order': 2687385600000000, 'subgroup_tex': 'A_5^8.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1343692800000000, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1343692800000000, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': '1343692800000000.d', 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': '1343692800000000.d', 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': 1343692800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': '1343692800000000.d', 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.16._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.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': 16, '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': '1343692800000000.d', 'subgroup_hash': None, 'subgroup_order': 1343692800000000, 'subgroup_tex': 'A_5^8.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 671846400000000, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 671846400000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.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': 32, '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': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.32._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 671846400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.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': 40, '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': 537477120000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.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': False, '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': None, 'subgroup_hash': None, 'subgroup_order': 447897600000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 335923200000000, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 335923200000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 167744466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.64._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, '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': 335923200000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.64._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, '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': 335923200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.64._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, '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': 335923200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.64._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, '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': 335923200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.64._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, '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': 335923200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.64._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.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': 64, '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': 335923200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.80._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, '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': 268738560000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.80._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, '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': 268738560000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.80._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, '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': 268738560000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.80._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, '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': 268738560000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.80._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, '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': 268738560000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.80._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, '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': 268738560000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.80._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, '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': 268738560000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.80._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.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': 80, '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': 268738560000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.96._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': 223948800000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.96._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': 223948800000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.96._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': 223948800000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.96._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': 223948800000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.96._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': 223948800000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.96._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': 223948800000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.96._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '96.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': 96, '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': 223948800000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.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': 100, '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': 214990848000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.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': 100, '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': 214990848000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100.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': 100, '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': 214990848000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120.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': 120, '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': 179159040000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744493
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 167961600000000, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': False, 'normal': True, 'old_label': '128.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': '128.931', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_4^2:D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 167961600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 167744494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.144._.A', '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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 149299200000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.144._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.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': 144, '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': 149299200000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.144._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '144.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': 144, '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': 149299200000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.160._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '160.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': 160, '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': 134369280000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.192._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '192.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': 192, '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': 111974400000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.200._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '200.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': 200, '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': 107495424000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.240._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '240.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': 240, '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': 89579520000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74649600000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.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': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^2.A_5^2.C_2^2:C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.288._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '288.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': 288, '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': 74649600000000, 'subgroup_tex': 'D_5^2.A_5^2.A_5^4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 167744602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': 'A_4.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 167744604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(S_3\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.320._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '320.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': 320, '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': 67184640000000, 'subgroup_tex': '(C_3\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 167744647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': 'D_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 167744648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.384._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '384.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': 384, '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': 55987200000000, 'subgroup_tex': '(C_5\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5.A_5.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 167744678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': '(S_3\\times A_4).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'S_3^2.A_5^2.A_5^4.(C_4.D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 167744700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.400._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '400.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': 400, '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': 53747712000000, 'subgroup_tex': 'A_4^2.A_5^2.A_5^2.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'C_2\\times A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'C_2\\times A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'C_2\\times A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'C_2\\times A_5.A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'C_2\\times A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 167744724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2^2\\times A_5).A_5.A_5.A_5.A_5.A_5.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'C_2\\times A_5.A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(C_2\\times A_5).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^4.Q_8', 'supersolvable': False, 'sylow': 0}
  • id: 167744767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(D_5\\times A_4).A_5.A_5.A_5^2.A_5^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'A_5.A_5^2.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'A_5.A_5^2.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': 'A_5.A_5^2.A_5^4.D_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.480._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '480.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': 480, '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': 44789760000000, 'subgroup_tex': '(S_3\\times D_5).A_5.A_5.A_5^4.Q_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '21499084800000000.gn.390625._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '390625.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': 390625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '55037657088.dc', 'subgroup_hash': None, 'subgroup_order': 55037657088, 'subgroup_tex': 'C_2^{16}.C_3^8.C_2.C_2\\wr C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 167744776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.1679616._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1679616.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': 1679616, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^5.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 167744777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '21499084800000000.gn.100000000._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100000000.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': 100000000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 214990848, 'subgroup_tex': 'C_3^8.C_2^6.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 167744778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '21499084800000000.gn.2562890625.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2562890625.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': 2562890625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8388608, 'subgroup_tex': 'C_2^{10}.C_2^6.C_2^6.C_2', 'supersolvable': True, 'sylow': 2}
  • id: 167744779
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '21499084800000000.gn.55037657088.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '55037657088.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': 55037657088, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 390625, 'subgroup_tex': 'C_5^8', 'supersolvable': True, 'sylow': 5}
  • id: 167744780
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '21499084800000000.gn.3276800000000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '3276800000000.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': 3276800000000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6561.1396077', 'subgroup_hash': None, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^8', 'supersolvable': True, 'sylow': 3}
  • id: 167744781
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '21499084800000000.gn', 'ambient_counter': 170, 'ambient_order': 21499084800000000, 'ambient_tex': 'A_5^8.C_2\\wr C_4.C_2', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 415, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '21499084800000000.gn.21499084800000000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '21499084800000000.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '21499084800000000.gn', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 21499084800000000, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'A_5^8.C_2\\wr C_4.C_2', '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: 167744621
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [82114552141088726737005133717914698613347452109, 1190148998289750014869144794562560000004, 19678982404, 489604, 371337674932224004, 27461728753955084149456896000004, 6423296495616004, 174356582403, 25903107681056686080003, 885961527955746116073023046942720000004, 1887197221938603294720000, 1596967351909045926590121630911535513600000004, 3, 18010593362453081079545856000000, 20425410186528820599809745361783748085832013521, 766800, 82128314695347600891367450163293244620800000003], 'label': '21499084800000000.gn.320._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744636
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1128964, 8852650863190120306704384000000, 2534672732080677027840004, 243290200817664004, 506519820398592004, 21981085680015262940184087391232851968000000000, 915068325296268187140096000004, 373680, 12972960003, 88176211203, 2248001455555215360004, 523394610793391012977475223548225126400000004, 894907976411491696098708459356160000000, 61716668861067154353010828297621232687184227284, 303916116658416027343136804044800000003, 3, 82142079352038370935958154529313749198836873524], 'label': '21499084800000000.gn.320._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744637
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1128964, 8852650863190120306704384000000, 2534672732080677027840004, 243290200817664004, 506519820398592004, 21981085680015262940184087391232851968000000000, 915068325296268187140096000004, 373680, 82142079352038370935958154529313749198836873549, 12972960003, 88176211203, 2248001455555215360004, 523394610793391012977475223548225126400000004, 894907976411491696098708459356160000000, 61716668861067154353010828297621232687184227284, 303916116658416027343136804044800000003, 3], 'label': '21499084800000000.gn.320._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744638
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1128964, 8852650863190120306704384000000, 2534672732080677027840004, 243290200817664004, 506519820398592004, 21981085680015262940184087391232851968000000000, 915068325296268187140096000004, 373680, 82142079352038370935958154529313749198836873549, 12972960003, 88176211203, 2248001455555215360004, 523394610793391012977475223548225126400000004, 894907976411491696098708459356160000000, 303916116658416027343136804044800000003, 3, 61716668861067154353010828297621232687184227309], 'label': '21499084800000000.gn.320._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744651
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [21981085680015262940184087391232851968000000033, 82637573585772929440484356411480247396601129629, 523394610793391012977475223548225126400000033, 499761759264768000, 8946448455745580025685412413440000064, 87657292833, 83188496293477519448808566830549668042467198640, 609776689223427721003008000064, 12972960064, 126090, 620499492675411148800096, 1139040, 51704033477769953280096, 17988815623552244375224320000090, 376610217984033, 295241021878258318770436335206400000090, 96], 'label': '21499084800000000.gn.384._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744702
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [134805535248384107, 1292600836944248832000000, 82114922935583164447538602183159814553600000000, 55, 8691540457466064418335919964160000082, 1538002, 1175091669949317120082, 82637946169828465026295655634178875581771881735, 262518244724736055, 1181202549834004434843459382149120000107, 19678982482, 10080, 62790241602174586101293498851172076748800000107, 18598592312775672096227328000082, 100111334482, 82, 35682825189020940030836736000107], 'label': '21499084800000000.gn.480._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744703
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [128047474114560000, 55, 1538027, 621572402461017047040055, 61207409996683556420967161199290272972800000000, 83188124578016911011319763463208247260552284347, 1189877644614162143416159850987520000107, 274467916907, 2507696714614014443520000, 19160064000, 35988116825093780496973824000107, 925553903285559933665280000000, 82142450441765617137631234142322976358400000082, 19939418763264107, 26584437368957224469706744791040000055, 1093787, 81605664071207789680826154134543588099769934642, 82], 'label': '21499084800000000.gn.480._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744704
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [21777738900836704321536000000, 1492560, 7224940800, 363600, 13516122267648000, 26584437368957224469706744791040000000, 486957011853312000, 550922116975843703070107182711386931200000000, 52879125147719270400000, 894653068413212180491358966906880000000, 83188495676698819361151248590523124940800000000, 27145951539892951936794624000000, 41332550541907403478687747422327109491650370640, 41318787370861596967836671000140746997376834000, 41332551731250581263845786799276977654355223120, 180623520000, 2534672732080677027840000], 'label': '21499084800000000.gn.480._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744705
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [493003698130944000, 607832233316832054686273608089600000082, 126000, 19939418763264000, 41332550532952714174086886683487449907200000082, 271353675587871452984943575040000000, 21966950246196707801330285735591210919202601622, 1941149256871928463360000, 305291636072840466137088000000, 35378340135870352775970816000082, 1502640, 193077561600, 41332550541907403478687747422327109491650370695, 20425781580706685949950381698514209996800000000, 355419187282, 82, 1175091669949317120000], 'label': '21499084800000000.gn.480._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744706
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [1496880, 61744196367241383877773484402971928166400000000, 1189622736615882627808810358538240000000, 1060180981351218469783798427229880320000000000, 17988815623552244375224320000000, 1318503944625305518080000, 82637946144049874698094038675060283605591187781, 26536174850669524215791616000000, 249713497313280000, 281173939200, 295241021878258318770436335206400000000, 486957011853312000, 1888372313608552611840000, 367920, 354980102400, 81619428119794982206315294416342430458023734341, 23], 'label': '21499084800000000.gn.480._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744707
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [51704033477769953280000, 21980714581333354590353764429567105282984609987, 128047474114560000, 41841809397328088940800577928005943296000000000, 384853797199872000, 21981085680015262940184087391232851968000000000, 8946448455745580025685412413440000000, 67, 1941149256871928463360000, 936846064197104891461632000000, 88176211200, 1502640, 82665101074860117652773960778294081169306616240, 26536174850669524215791616000000, 912274611649115469089744848158720000000, 51120, 12972960000], 'label': '21499084800000000.gn.480._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744722
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [1496880, 620499492675411148800082, 21967322543702736062136600303718110359186441095, 181581523282, 41332551731250581263845786799276977654355223045, 26851952064731656428453888000082, 599157138536674346113573139251200000082, 621068850134972678799360000082, 20425781580706685949950381698514209996800000082, 122000787836928082, 8946448455745580025685412413440000000, 536786370557827456806323203681655193600000000, 28151109136611901440082, 281173939200, 847522, 19228043907072082, 82], 'label': '21499084800000000.gn.480._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744723
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [590465598079208281695237219287040000082, 6423296495616107, 62253455231616758644487175647490421555200000107, 87657292800, 107, 1190148998289750014869144794562560000107, 21981085680015262940184087391232851968000000107, 35378340135870352775970816000000, 305291636072840466137088000000, 2561648749547339612160107, 1267872820933141463040000, 354980102482, 806400, 40795765352009436787119279491211226245137155201, 5760, 250048261951488082, 82], 'label': '21499084800000000.gn.480._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744724
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [6706022507, 20398254074524233259857749739351048192000000000, 8852650863190120306704384000082, 17366635237623772991036388802560000055, 766800, 912274611649115469089744848158720000082, 493003698130944082, 536786370557827456806323203681655193600000055, 79855142614381854720000, 107, 327069374973677170458624000055, 82, 268719897707, 21967322517924145733932633110156584647140983622, 2508769624399620341760107, 81605664071207789680826154134543588099769934560, 448667, 6423296495616107], 'label': '21499084800000000.gn.480._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744725
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [9767719188486388493844480000055, 378095736066048000, 55, 493003698130944000, 1060180981351218469783798427229880320000000000, 1269047912603090780160000, 106378272055, 26313083693369353016721801216000000000, 20397882993480313518348809921139114582338762986, 1190148998289750014869144794562560000000, 61744196367241383877773484402971928166400000055, 1492560, 25903107681056686080055, 82637946169828465026295655634178875581771881762, 367920, 631554428124264425324544000000, 274467916800], 'label': '21499084800000000.gn.480._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744726
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [9767719188486388493844480000055, 378095736066048000, 55, 493003698130944000, 1060180981351218469783798427229880320000000000, 1269047912603090780160000, 106378272055, 26313083693369353016721801216000000000, 20397882993480313518348809921139114582338762881, 1190148998289750014869144794562560000000, 61744196367241383877773484402971928166400000055, 1492560, 25903107681056686080055, 82637946169828465026295655634178875581771881762, 367920, 631554428124264425324544000000, 274467916800], 'label': '21499084800000000.gn.480._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744727
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [82142450441765617137631234142322976358400000067, 378095736066048000, 621068850134972678799360000000, 8691540457466064418335919964160000000, 8852650863190120306704384000000, 250424872169472000, 1189622736615882627808810358538240000000, 1269047912603090780160000, 1174320, 86400, 67, 21966950246196707801330285735591210919202601574, 79855142614381854720000, 1582831605491029680326337651881803776000000000, 21994849728602455465672689378852880265676620214, 518918400, 368392147200], 'label': '21499084800000000.gn.480._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744728
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [371337674932224107, 607832233316832054686273608089600000107, 271353675587871452984943575040000107, 45360, 83160968483115827778468030210367349114750047202, 107, 1073572741115654913612646407363310387200000107, 1941149256871928463360000, 87218208107, 305291636072840466137088000107, 1139147, 267761894507, 21994849728602455465672689378852880265676620218, 9767719188486388493844480000000, 6423296495616000, 1175091669949317120107, 81605664071207789680824910938641321164800000000], 'label': '21499084800000000.gn.480._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744729
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [371337674932224107, 607832233316832054686273608089600000107, 83160968483115827778468030210367349114750047258, 271353675587871452984943575040000107, 45360, 107, 1073572741115654913612646407363310387200000107, 21994849728602455465672689378852880265676620162, 1941149256871928463360000, 87218208107, 305291636072840466137088000107, 1139147, 267761894507, 9767719188486388493844480000000, 6423296495616000, 1175091669949317120107, 81605664071207789680824910938641321164800000000], 'label': '21499084800000000.gn.480._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744769
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [51704033477769953280000, 18720979200, 7, 17366635237623772991036388802560000000, 8852650863190120306704384000000, 1266799911147535564800000, 1046045234933202223520014448200148582400000000, 815901513401842024348617117837470874325269999294, 20398254074524233259857749739351048192000000000, 925553903285559933665280000000, 146517064495994087257846703094524077512841930236, 6758061134595120, 250696831203185877044410674749272482525036577121, 599157138536674346113573139251200000000, 87218208000, 249713497314863280, 38], 'label': '21499084800000000.gn.480._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744770
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [52879125147719270400000, 128047474114560000, 8691540457466064418335919964160000000, 936846064197104891461632000060, 41040, 372049049788416000, 41842181694834127263327522021595871343046972094, 536786370557827456806323203681655193600000000, 147067614610959841429300436472789629856268938860, 2534672732080677027840000, 62790241602174586101293498851172076748800000000, 146021568481644942140792631787720288883078367279, 35682825189020940030836736000004, 599683400210541733173907575275520000000, 83174733105073274003226075328561511510857097570, 12972960000, 1093680, 274467916800], 'label': '21499084800000000.gn.480._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744771
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [27527506182452690092631959163161804800000003, 18293300676702831630090240000000, 312862565114161607368822216458240000000, 774568590884245837881233893053491670668111920507, 1198569185071628207834495770951680000000, 493338462769152000, 349232083200, 78680050944432537600000, 6266937600, 122377398054912000, 725760, 1502640, 774582725745220355860714510492298985929598223388, 2534672732080677027840000, 327069374973677170458624000000, 62253455231616758644487175647490421555200000111, 753138799314788090650286016700119624772772531188], 'label': '21499084800000000.gn.480._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744772
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26058175695089837409372308766720000078, 53952034933325168640000, 61744196367241383877773484402971928166400000000, 493715072987136000, 365290988654592056, 27145951539892951936794624000000, 81619428119794964207014092874806308708519734390, 82665101074860117652773960778294081169306616240, 12972960056, 82637946169828465026295655634178875581771881774, 274467916878, 806400, 1888372313608552611840000, 56, 26547467011581069173587968000000, 40795764162394886717280563479805794713600000078, 5816, 23, 1207515633527373787860181183365120000056], 'label': '21499084800000000.gn.480._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744773
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [53952034933325168640000, 82637946447957759665209717020928314434891881703, 61744196367241383877773484402971928166400000000, 493715072987136000, 365290988654592056, 912019703650835953482395355709440000000, 12972960056, 327069374973677170458624000000, 274467916878, 894907976411491696098708459356160000000, 806400, 82665101083806566108519540803979493582746616240, 81619428119794982206315294416342430458023734390, 1888372313608552611840000, 56, 40795764162394886717280563479805794713600000078, 5816, 23, 8842165285200828560179200000000], 'label': '21499084800000000.gn.480._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744511
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496958, 19562808545280056, 1190148998289750014869144794562560000078, 81605664679048281835326628993996289299046995278, 499761759264768000, 82142450441765617137631234142322976358400000056, 305291636072840466137088000056, 6706022400, 1889445223394158510080056, 40795764162394886717280563479805794713600000000, 312862565114161607368822216458240000078, 281173939200, 9767719188486388493844480000000, 806478, 699179543619843686400000, 42364832614206772564350685746369090604034736501, 56, 21967323116538586349195984214941427599610131303], 'label': '21499084800000000.gn.160._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744512
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496958, 19562808545280056, 1190148998289750014869144794562560000078, 42364832614206772564350685746369090604034736482, 81605664679048281835326628993996289299046995278, 499761759264768000, 82142450441765617137631234142322976358400000056, 305291636072840466137088000056, 6706022400, 1889445223394158510080056, 40795764162394886717280563479805794713600000000, 312862565114161607368822216458240000078, 281173939200, 9767719188486388493844480000000, 806478, 699179543619843686400000, 56, 21967323116538586349195984214941427599610131303], 'label': '21499084800000000.gn.160._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744513
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496958, 19562808545280056, 1190148998289750014869144794562560000078, 42364832614206772564350685746369090604034736482, 21967323116538586349195984214941427599610131280, 81605664679048281835326628993996289299046995278, 499761759264768000, 82142450441765617137631234142322976358400000056, 305291636072840466137088000056, 6706022400, 1889445223394158510080056, 40795764162394886717280563479805794713600000000, 312862565114161607368822216458240000078, 281173939200, 9767719188486388493844480000000, 806478, 699179543619843686400000, 56], 'label': '21499084800000000.gn.160._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744543
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [518918400, 1492560, 13516122267648000, 1318503944625305518080000, 111, 82114552149500655008295393304861854723486839623, 81605664071207789680824910938641321164800000000, 1537920, 368392147200, 27145951539892951936794624000000, 925553903285559933665280000000, 2248001455555215360000, 6423296495616000, 599157138536674346113573139251200000000, 312862565114161607368822216458240000000, 373680, 62253455231616758644487175647490421555200000000, 19228043907072000, 56, 774568961671109509076820547714309212036224487063], 'label': '21499084800000000.gn.200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744544
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [181581523200, 599683400210541733173907575275520000000, 814318309794867122907023591416535953924461483556, 67, 295495929876537834377785827655680000000, 1582831605491029680326337651881803776000000000, 1139040, 620499492675411148800000, 17988815623552244375224320000000, 2508769624399620341760000, 753125035561960012814402629780480031018006127974, 81, 134805535248384000, 249713497313280000, 766800, 281173939200, 1128960, 2561648749547339612160000, 915068325296268187140096000000, 62253455231616758644487175647490421555200000000, 773550073146803530838778707118676551118324678996], 'label': '21499084800000000.gn.200._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744567
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [82114922935583164447538602183159814553600000067, 305291636072840466137088000029, 1888372313608552611840029, 87218208000, 13181357629440067, 111, 122377398054912029, 26536174850669524215791616000067, 621572402461017047040029, 12454041711, 1207515633527373787860181183365120000029, 29, 448589, 894381714737624309038374023331840000000, 523394610793391012977475223548225126400000029, 1537949, 61716669174184645736974939656185929442551363311, 83160597080789103101237466385125230077172623989], 'label': '21499084800000000.gn.240._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744568
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [122000787836928067, 8691540457466064418335919964160000067, 67, 21981085706591486334037872474415053970484511389, 11292160911544957796352000000, 81605664071207789680824910938641321164800000000, 42378967778587582995475687842612243554976616800, 2482968698602907074560000, 41841809397328088940800577928005943296000000000, 493003698130944067, 41841809701770494125443258066897606529862080614, 36303894039155912709636096000000, 53952034933325168640067, 766800, 489600, 12972960067, 885961527955746116073023046942720000067, 361686124800], 'label': '21499084800000000.gn.240._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744569
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [53952034933325168640067, 41841809397328088940800577928005943296000000000, 42378967778587582995475687842612243554976616911, 36303894039155912709636096000000, 361686124800, 885961527955746116073023046942720000067, 493003698130944067, 67, 12972960067, 2482968698602907074560000, 11292160911544957796352000000, 21981085706591486334037872474415053970484511389, 122000787836928067, 8691540457466064418335919964160000067, 489600, 81605664071207789680824910938641321164800000000, 766800, 41841809701770494125443258066897606529862080614], 'label': '21499084800000000.gn.240._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744570
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [53952034933325168640067, 41841809397328088940800577928005943296000000000, 42378967778587582995475687842612243554976616911, 36303894039155912709636096000000, 361686124800, 885961527955746116073023046942720000067, 493003698130944067, 21981085706591486334037872474415053970484511427, 67, 12972960067, 2482968698602907074560000, 11292160911544957796352000000, 122000787836928067, 8691540457466064418335919964160000067, 489600, 81605664071207789680824910938641321164800000000, 766800, 41841809701770494125443258066897606529862080614], 'label': '21499084800000000.gn.240._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744571
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [53952034933325168640067, 41841809397328088940800577928005943296000000000, 42378967778587582995475687842612243554976616911, 36303894039155912709636096000000, 361686124800, 885961527955746116073023046942720000067, 493003698130944067, 21981085706591486334037872474415053970484511427, 67, 12972960067, 41841809701770494125443258066897606529862080595, 2482968698602907074560000, 11292160911544957796352000000, 122000787836928067, 8691540457466064418335919964160000067, 489600, 81605664071207789680824910938641321164800000000, 766800], 'label': '21499084800000000.gn.240._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744572
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [53952034933325168640067, 41841809397328088940800577928005943296000000000, 42378967778587582995475687842612243554976616911, 36303894039155912709636096000000, 361686124800, 885961527955746116073023046942720000067, 493003698130944067, 67, 12972960067, 41841809701770494125443258066897606529862080595, 2482968698602907074560000, 11292160911544957796352000000, 21981085706591486334037872474415053970484511389, 122000787836928067, 8691540457466064418335919964160000067, 489600, 81605664071207789680824910938641321164800000000, 766800], 'label': '21499084800000000.gn.240._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744573
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [122000787836928067, 8691540457466064418335919964160000067, 67, 41841809701770494125443258066897606529862080595, 21981085706591486334037872474415053970484511389, 11292160911544957796352000000, 81605664071207789680824910938641321164800000000, 42378967778587582995475687842612243554976616800, 2482968698602907074560000, 41841809397328088940800577928005943296000000000, 493003698130944067, 36303894039155912709636096000000, 53952034933325168640067, 766800, 489600, 12972960067, 885961527955746116073023046942720000067, 361686124800], 'label': '21499084800000000.gn.240._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744430
    {'ambient': '21499084800000000.gn', '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': [479895040502061488382456220880827820795087191737, 290956180988349717375238326802604772555675258148, 480445590322049307009770781877923328798566317549], 'label': '21499084800000000.gn.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: 167744431
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21777817580906876811392762176, 19, 1060181893625866107017335756066667656269209632, 12454041604, 27527506182453321647139938590140942416157368, 536786388195816991086897637837843915941675700, 376622672066655, 26976018178043707455368, 526261685159550219900788807104706643, 774582725745220355860714510492298985929598223401, 1046046121166084464630768804796958455389473385, 167437968577879485627608346737406718428431647391, 518918408, 1582832517765659340035223146871089084112839546, 3, 5775, 27527515400254832718272500500416955211879054, 52879125859107099638412, 925553929188674372802779012420, 609776689223441237144954756468, 1569439854418133999255192410926591987935395687, 17637989240281072296830073859214966905, 1175091669950275123216, 40823291972493465223731773749119239487253419678, 912274629332639457744259655600863819534, 27527523549088864562497298420713546280903568, 61716668887108910874703867295854034088233315309, 51132, 7134691030800480], 'label': '21499084800000000.gn.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744432
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [20425781875947743805033365826290559078359678660, 21777740075941890394078771215, 14135764056014611417402847320150044819582023, 536786665798867323880317230402601735624168976, 2248014971678001967451, 1569440158589168118378338406328233307422707854, 5764, 42364832310553777607097791259160916510003282475, 51704046659128101638411, 1046046442448862896845344449347529044770942015, 315777265766178871790812728979, 61730804607476947433944636422838498099200000000, 536786969969891980577747378604175115663520012, 1181202549834004436018557475395890870971, 295241021878258318770436335225560109390, 711375375120492, 1046045538849336870751717048114190964556118463, 711375375236403, 17637988913211722051169249266331277923, 3, 13181358587484255, 526261673867387060334436024320448571, 27528696060097620032067044609565639818934968, 536786683420402338687171938017889826327383117, 1189877644625454357206837091175452216968, 1569441026929152838221165880721774032846513212, 41040, 1207515668905714001337688634285362657920, 61744196384608028283827895171515820386050120419, 15, 518918415], 'label': '21499084800000000.gn.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744433
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19, 609776716199458703788378972804, 7225072560, 1596967377967222253234440043679840626898495847, 925553930261584158408158288644, 14135773002489613823463235855713919869659597, 79855149749066618663520, 82651710192373891240981958870207714391537001008, 550922126193646444180326564873589812966380260, 167437968577879485627608346737406718428431647391, 1582831623383962579934376749567444399633723614, 62776849868468325679623941934273876236416915219, 8691540479243883174335178435027280564, 3, 51704033477782407321604, 13412166483, 376628938968960, 958044244, 17637988924503806530677522932772444244, 526261989644655074514386765439159603, 10080, 52879125147719270400000, 82142450450983428111131909723218161127561173198, 26976030271422968741764, 1582831614437478136071919925582187885643992983, 2248001455555734364804, 8691540762757778098317544947047555763, 14135773002454552067124349894408587491670976, 42364832901019349455422935964843074980633365156, 646300540473261486594562, 21777790604870893486024535040, 121680], 'label': '21499084800000000.gn.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744434
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [3, 271353686880033539999332380313222339, 2248001455555215360015, 20, 26584437368957278421748436189796586252, 17366635237623798894144781234102398020, 27527506708715300806111368082963845347644800, 19678988171, 9767719188486388493851704986160, 26584437978733993548296308232782793044, 526261673867412963442117088231142495, 376622672076740, 18721065608, 1175091669962729290804, 42364832310553777607097791259160916510003282475, 631554481003639621567780217587, 27527810624839886319097440810471849681416900, 26584437380249438260396789737879796320, 550922116975843703070185862775512902949737520, 51704034189152034544579, 519004823, 81619056135159732446774483983890331805406238147, 925553904460652314995720371283, 26584438305803316817933577624957936733, 126019, 1060181007664329320396854496463213226632513402, 526262294938177271654912521620271447, 17637988934989435048904696088293596916, 774582725745220355860714510492298985929598223401], 'label': '21499084800000000.gn.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744435
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [291465440460031090004909034326659392140114472162, 126015, 1073572767428747470925645098166018491066566975, 53952035644718745937215, 3, 1046045235204556824661843138780670529969863528, 19562827266339851, 1596967352180417906770856601387506094009993603, 20398254969177310525722062468864590917243737566, 21777765876860929052479135931, 8691541067244046242742148993963731203, 621068928815030046535099238404, 2248020683600080440983, 16, 52879138329096059945051, 1596967361126884361819500637815344468957130816, 20398255282039875639884908486387091695668919001, 958008975, 1569439845997947543639842128142453155878662419, 19160150419, 8, 1582831605762418734255045227692491580944009620, 526261685159573874987786271893376091, 40809901090270369648481694597892075499815095623, 27527506453806975457192635595389197660343603, 2248001455568627526496, 1060181893099578212752983116755148757675002175, 10087], 'label': '21499084800000000.gn.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744436
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [61730805501858662803123425289523605883167819456, 271353686880032364530277994064025623, 14136641071084659476042077536992154925935360, 8691540762757752195229091934268542007, 903328163520439342717800732013231155136, 82128314695347600913145189064143465071828669448, 18720979203, 17892897227268374113510172179224908883, 14135764310913789309452009814731203806811053, 607832233632609348603555193195820130592, 4, 19160064000, 711382081138575, 11292163159559218099936899844, 2248014260316038982484, 13412166484, 7134678576870496, 271353697365662057990307993059462408, 590465598710762709819501644611584045376, 1582831606017292279747705604917332299464391535, 9217802153111192627521320613161815055, 1175091669968477225063, 523394628431379947966860816414852058809316415, 1596967377967222547236344119470273712860803907, 19678988175, 621068852382993362399440561208, 15, 518918415, 82114552141088726737005133717914698613347452125, 26584438305803367346881808735822704500, 8691558762058979640360186766510697151], 'label': '21499084800000000.gn.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744437
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14135746944278247201788085064522123374095295, 959137920, 526262588935714604624018158073606408, 78680050944438804537620, 1073573922046860839749096289171907878976908756, 79855149372443948039763, 19678992480, 14135746418017183109926856199083766492066484, 376622673522484, 42364832613943632885644046482041516089693193702, 15, 1175092046560055157127, 621068927742120260941655050092, 83174360225521825004439211093751125085591391376, 550922116975843703070185863255335081548665451, 21777817580887648760780399303, 17892914606307308442813406876857219165, 912274639110844223045085092563845200640, 19161560884, 271354601141775914123838979102366800, 52879125147737992146004, 774582725727590580954884536639997127500522770477, 1134732, 9217803056887407643362195440870246499, 4, 315777292742183533718441121379, 17892897837045063337424473832909030445, 915070859969135073719807860560, 1569439845726593857566418487021710450984616953], 'label': '21499084800000000.gn.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744438
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14135746944278247201788085064522123374095295, 959137920, 526262588935714604624018158073606408, 78680050944438804537620, 1073573922046860839749096289171907878976908756, 79855149372443948039763, 19678992480, 14135746418017183109926856199083766492066484, 376622673522484, 15, 1175092046560055157127, 621068927742120260941655050092, 83174360225521825004439211093751125085591391376, 41332550550845646779697879584950945044524118480, 550922116975843703070185863255335081548665451, 21777817580887648760780399303, 17892914606307308442813406876857219165, 912274639110844223045085092563845200640, 19161560884, 271354601141775914123838979102366800, 773550445149085009412623831987213894032529810475, 52879125147737992146004, 1134732, 9217803056887407643362195440870246499, 4, 315777292742183533718441121379, 17892897837045063337424473832909030445, 915070859969135073719807860560, 1569439845726593857566418487021710450984616953], 'label': '21499084800000000.gn.32._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744439
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [621068901839025384620445343920, 3, 10084, 20, 1582831605491030301395213689962875014127212803, 11292213790690044941091731760, 925553981965611589479898783928, 915068325296275321811966777531, 17366635237623775239050649124865924412, 925553956164704309447617546084, 711374856192020, 1596968246290778347740977549700789697818431392, 6758062091872572, 27527827465240280249859833225020357571641496, 958013300, 27527523820450771732381807045912095536803728, 13412085863, 271353991365085515136719065536262408, 52879125859113805655044, 523394610793391318269139447504586130039991063, 305291638320842298302521389380, 62776851032032887210194609676993468407230190254, 14135764310913767531713108983696977928205928, 14135764056005170767668014647677806603135954, 733786590154177456216594302294841364271620444763, 1060180999244115991051727557178175309912016576, 1060180998717854338962052422020798496250228350, 121695, 536786387924463631276213270955217848415065584], 'label': '21499084800000000.gn.32._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744574
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [26830174325830819724132352000034, 303916116658416027343136804044800000026, 1134835, 8842165285200828560179200000000, 493003698130944026, 83188495676698819361151248590523124940800000016, 1583203902742168225270095479380910465950972153, 16, 25903107681056686080000, 19939418763264026, 12454041711, 17892896911491160051370824826880000026, 90720, 73, 81605664071207789680824910938641321164800000055, 180623520000, 2482968698602907074560071, 62790241602174586101293498851172076748800000000, 62790241923720478601994545479070864762434691813, 21457691078439700889120945304418163498334513378], 'label': '21499084800000000.gn.240._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744440
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [21444299335515620956673634873002185572073255072, 3, 9217802153111190379520241668165084211, 26058176000381525186266192199342632323, 26058202852336099862638313787027430398, 19, 26313083704661567880308827009391452807, 78680051321043713597287, 14135755109557640575940745580056397965465604, 518918404, 16, 26584437696026651147424527697675151444, 19562809064208495, 13516140988627204, 41332550550845646779697879584950945044524118480, 1582831623383927517371426891933759454340161368, 61744196671683762515350474956130106024843827293, 1175104474697686589280, 79855142614381854765363, 753124663551274827272189509868672791981905249838, 523394637106501558300781344618535870498906246, 711375814205287, 11292240766701088306741437367, 7134683805855376, 27527532240629006251345406622253724062104980, 1073572759008552130397926573202552672686125367, 271353675587899604107596322182138740, 10088], 'label': '21499084800000000.gn.32._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744441
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [61730805501858662803123425289523605883167819456, 271353686880032364530277994064025623, 14136641071084659476042077536992154925935360, 8691540762757752195229091934268542007, 903328163520439342717800732013231155136, 82128314695347600913145189064143465071828669448, 18720979203, 17892897227268374113510172179224908883, 14135764310913789309452009814731203806811053, 607832233632609348603555193195820130592, 4, 19160064000, 711382081138575, 11292163159559218099936899844, 2248014260316038982484, 13412166484, 7134678576870496, 271353697365662057990307993059462408, 590465598710762709819501644611584045376, 1582831606017292279747705604917332299464391535, 9217802153111192627521320613161815055, 1175091669968477225063, 523394628431379947966860816414852058809316415, 1596967377967222547236344119470273712860803907, 61744196384608028283827895171515820386050120419, 19678988175, 621068852382993362399440561208, 61716668887108910874703867295854034088233315309, 15, 518918415, 26584438305803367346881808735822704500, 8691558762058979640360186766510697151], 'label': '21499084800000000.gn.32._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744442
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21777817580906876811392762176, 1060181893625866107017335756066667656269209632, 19, 12454041604, 27527506182453321647139938590140942416157368, 536786388195816991086897637837843915941675700, 376622672066655, 26976018178043707455368, 526261685159550219900788807104706643, 774582725745220355860714510492298985929598223401, 1046046121166084464630768804796958455389473385, 167437968577879485627608346737406718428431647391, 1582832517765659340035223146871089084112839546, 518918408, 3, 41332550550845646779697879584950945044524118480, 5775, 27527515400254832718272500500416955211879054, 52879125859107099638412, 925553929188674372802779012420, 609776689223441237144954756468, 1569439854418133999255192410926591987935395687, 17637989240281072296830073859214966905, 1175091669950275123216, 40823291972493465223731773749119239487253419678, 912274629332639457744259655600863819534, 61744569558874228928759512310839797314076639459, 27527523549088864562497298420713546280903568, 51132, 7134691030800480], 'label': '21499084800000000.gn.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744443
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [925553957237595243607372737139, 3, 9217802752402381468786026129144918964, 17892896922783398570076881223614736483, 19678988163, 12973086004, 526262599421343225033033631249473123, 17892897216782873731372389209889668437, 167465868684957830394329759332517989943168779409, 621068876038080736573081511528, 17637988913211722051162867907862666100, 41332550550845646779697879584950945044524118480, 609776717375029861320266060666, 519004803, 61194018237445381956297388056378404556276976634, 26058176010867051471632945868304687522, 376629378169703, 20920904716556941687184379937430423575211917927, 271389968189749697372258223849050276, 25903120486066111456580, 27527506182452690092683663196639593913470012, 126003, 77607141535436857385052, 52879125859094645596811, 1175092381330440381372, 6266937608, 61730805788408179286479792890968138348278228583, 1569439854944395694900316124108705077672083767], 'label': '21499084800000000.gn.32._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744444
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [925553957237595243607372737139, 3, 186803568595444423577435156330859304351996330288, 9217802752402381468786026129144918964, 17892896922783398570076881223614736483, 19678988163, 12973086004, 526262599421343225033033631249473123, 17892897216782873731372389209889668437, 621068876038080736573081511528, 17637988913211722051162867907862666100, 42378968673224222500237091161247522829246763531, 609776717375029861320266060666, 519004803, 61194018237445381956297388056378404556276976634, 26058176010867051471632945868304687522, 376629378169703, 20920904716556941687184379937430423575211917927, 271389968189749697372258223849050276, 25903120486066111456580, 27527506182452690092683663196639593913470012, 126003, 77607141535436857385052, 52879125859094645596811, 1175092381330440381372, 6266937608, 61730805788408179286479792890968138348278228583, 1569439854944395694900316124108705077672083767], 'label': '21499084800000000.gn.32._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744445
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [925553957237595243607372737139, 3, 9217802752402381468786026129144918964, 17892896922783398570076881223614736483, 19678988163, 12973086004, 526262599421343225033033631249473123, 17892897216782873731372389209889668437, 167465868684957830394329759332517989943168779409, 621068876038080736573081511528, 17637988913211722051162867907862666100, 609776717375029861320266060666, 519004803, 61194018237445381956297388056378404556276976634, 26058176010867051471632945868304687522, 376629378169703, 20920904716556941687184379937430423575211917927, 271389968189749697372258223849050276, 25903120486066111456580, 27527506182452690092683663196639593913470012, 126003, 62790614481471135638675737504276779608410019371, 77607141535436857385052, 52879125859094645596811, 1175092381330440381372, 6266937608, 61730805788408179286479792890968138348278228583, 1569439854944395694900316124108705077672083767], 'label': '21499084800000000.gn.32._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744446
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [61730805501858662803123425289523605883167819456, 271353686880032364530277994064025623, 14136641071084659476042077536992154925935360, 8691540762757752195229091934268542007, 903328163520439342717800732013231155136, 82128314695347600913145189064143465071828669448, 18720979203, 17892897227268374113510172179224908883, 14135764310913789309452009814731203806811053, 607832233632609348603555193195820130592, 4, 19160064000, 82142079343091914269601690451052447189795977531, 711382081138575, 11292163159559218099936899844, 2248014260316038982484, 13412166484, 7134678576870496, 271353697365662057990307993059462408, 590465598710762709819501644611584045376, 1582831606017292279747705604917332299464391535, 9217802153111192627521320613161815055, 1175091669968477225063, 523394628431379947966860816414852058809316415, 1596967377967222547236344119470273712860803907, 61744196384608028283827895171515820386050120419, 19678988175, 621068852382993362399440561208, 15, 518918415, 26584438305803367346881808735822704500, 8691558762058979640360186766510697151], 'label': '21499084800000000.gn.32._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744447
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [53952034933331435618759, 1596967377967221621680038895439640387677398900, 20, 82128315607622230855563896505943266314107279924, 167465868684957830394329759332517989943168779409, 526261673867414036371130750490506163, 1060180998989207710064820092936596779798246500, 82128315008481520290893646359650067035562088983, 1596967352180399907469657307846458715610533763, 21777790604882986857621725287, 17637988913211644444028090457454883859, 2248021018382920709805, 1046045235204556835953976001410846052108585603, 61730805206888994284676358506676770811342831444, 621068903014111007889232810083, 711387829232648, 754198607391072417692477366867949713821583863641, 80663, 82665101083798325259664959321453405797638455603, 7, 958008983, 27527532240629300250848616851395803875204411, 6758061133869376, 4, 6706108807, 5783, 2507696714614014443571120, 6423309468666761], 'label': '21499084800000000.gn.32._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744448
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [53952034933331435618759, 1596967377967221621680038895439640387677398900, 147054222859615573452269503385011289987007913649, 20, 82128315607622230855563896505943266314107279924, 526261673867414036371130750490506163, 1060180998989207710064820092936596779798246500, 82128315008481520290893646359650067035562088983, 1596967352180399907469657307846458715610533763, 21777790604882986857621725287, 17637988913211644444028090457454883859, 2248021018382920709805, 1046045235204556835953976001410846052108585603, 61730805206888994284676358506676770811342831444, 621068903014111007889232810083, 711387829232648, 80663, 82665101083798325259664959321453405797638455603, 7, 958008983, 27527532240629300250848616851395803875204411, 6758061133869376, 4, 6706108807, 5783, 2507696714614014443571120, 774582725745220355860714510492298985929598223401, 6423309468666761], 'label': '21499084800000000.gn.32._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744449
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [12804747411577735, 19679073143, 1060180981877480165428976092454437873732694412, 1569439854418151693264833238768709269168383993, 8946449370813933473082298981208034540, 13412131216, 711388268327627, 61221546924032769740716482413745787811446357725, 523394637106475337901257539626498233704448034, 7, 131767, 1060180999244142516740999062567934810060850026, 4, 167437968577879485627608346737406718428431647391, 550922725334357314140894382250184429778866513, 1060181007409394186651427616570799195367416474, 1046045243624743302054931249644673672265301863, 1582831606017291354193778664258307803108917868, 21777738900836704322054959521, 12454128063, 5775, 305291664223969165564759670891, 925553903285566691733119937140, 61744196384608028283827895171515820386050120419, 519050168, 45371, 1582831623129054897433315027763688038977984668, 27527523820442213081045481761252877171600500, 1175091669949836038416, 526262599421342049940652214189727920], 'label': '21499084800000000.gn.32._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744450
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14135746944278247201788085064522123374095295, 959137920, 526262588935714604624018158073606408, 78680050944438804537620, 1073573922046860839749096289171907878976908756, 79855149372443948039763, 19678992480, 14135746418017183109926856199083766492066484, 376622673522484, 15, 1175092046560055157127, 621068927742120260941655050092, 83174360225521825004439211093751125085591391376, 550922116975843703070185863255335081548665451, 21777817580887648760780399303, 17892914606307308442813406876857219165, 912274639110844223045085092563845200640, 19161560884, 271354601141775914123838979102366800, 773550445149085009412623831987213894032529810475, 52879125147737992146004, 774582725727590580954884536639997127500522770477, 1134732, 9217803056887407643362195440870246499, 4, 315777292742183533718441121379, 17892897837045063337424473832909030445, 915070859969135073719807860560, 1569439845726593857566418487021710450984616953], 'label': '21499084800000000.gn.32._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744451
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 518918400, 20, 19160185680, 305291687776893171957215299703, 733773197803692530474618979355985028217342072974, 376610218035136, 5764, 536786379504285070494454196361318225690307223, 1060180990569020622895041685875604471554179771, 609776689223428097626638150480, 80643, 81591529228117936955000468604995163010104332227, 1596967352435325611053405817072313486306514660, 134805641628229200, 305294120114468082706940912659, 1596967351909046558145172502689654619320383412, 36303895357660101001858509162351, 536787256264448351119067721974429822383072184, 11292162086637004368341271604, 14135746944278235909007849010074205807507764, 17637989838765547729601205481322252180, 18609077968372105378189369434743, 6758079854889603, 141229099506020400, 2248001832172658406495, 106244694353655648618733687220773907791764187391, 526261989646463591678999497734365295, 6706073532], 'label': '21499084800000000.gn.32._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744452
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 518918400, 20, 19160185680, 209364653244815962117424309603176144176504822467, 305291687776893171957215299703, 376610218035136, 5764, 536786379504285070494454196361318225690307223, 1060180990569020622895041685875604471554179771, 609776689223428097626638150480, 80643, 81591529228117936955000468604995163010104332227, 1596967352435325611053405817072313486306514660, 134805641628229200, 305294120114468082706940912659, 1596967351909046558145172502689654619320383412, 36303895357660101001858509162351, 536787256264448351119067721974429822383072184, 11292162086637004368341271604, 14135746944278235909007849010074205807507764, 17637989838765547729601205481322252180, 18609077968372105378189369434743, 6758079854889603, 141229099506020400, 2248001832172658406495, 106244694353655648618733687220773907791764187391, 526261989646463591678999497734365295, 6706073532], 'label': '21499084800000000.gn.32._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744453
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21777817580906876811392762176, 1060181893625866107017335756066667656269209632, 19, 12454041604, 27527506182453321647139938590140942416157368, 536786388195816991086897637837843915941675700, 376622672066655, 26976018178043707455368, 526261685159550219900788807104706643, 774582725745220355860714510492298985929598223401, 1046046121166084464630768804796958455389473385, 167437968577879485627608346737406718428431647391, 1582832517765659340035223146871089084112839546, 518918408, 3, 41332550550845646779697879584950945044524118480, 82128687870131858392191863116071605742733264099, 5775, 27527515400254832718272500500416955211879054, 52879125859107099638412, 925553929188674372802779012420, 609776689223441237144954756468, 1569439854418133999255192410926591987935395687, 17637989240281072296830073859214966905, 1175091669950275123216, 40823291972493465223731773749119239487253419678, 912274629332639457744259655600863819534, 27527523549088864562497298420713546280903568, 51132, 7134691030800480], 'label': '21499084800000000.gn.4._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744454
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [26058175706382078176066639025740746161, 2248014636913802854345, 523394610793391034755242275513294110451986024, 397214264981164132118420072110338117637086161395, 19939418763631923, 12454082739, 936846117076230415809841495005, 27527523549088864564332791602750896316819319, 74, 536786388450724368297483255072043196459434113, 621068850134973390192937262001, 523394611319653296621553755312549084318873638, 1073572758753644132116004531373025790619550899, 41085, 1060181276847148673391010026938335745816741868, 376610736988845, 19228063067177055, 45, 5775, 1060180981351219406629862624341529849471891841, 11292162086649809115752601638, 12804748369585245, 14135746418016257555944890581447602310886579, 40809900525336685590495242854023404972379416884, 1046045851983237671685520613144112660480005798, 27527523820450771732380631455191587015839390, 518959514, 41346314590223197793091679529088103043327291563, 20, 86438], 'label': '21499084800000000.gn.32._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744455
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27527523820450771732380631455191587015839390, 41085, 523394611319653296621553755312549084318873638, 20, 11292162086649809115752601638, 621068850134973390192937262001, 397214265857907831417143414517214441300511864987, 1046045851983237671685520613144112660480005798, 19228063067177055, 1060180981351219406629862624341529849471891841, 14135746418016257555944890581447602310886579, 12454082739, 1073572758753644132116004531373025790619550899, 86438, 74, 27527523549088864564332791602750896316819319, 26058175706382078176066639025740746161, 536786388450724368297483255072043196459434113, 12804748369585245, 40809900525336685590495242854023404972379416884, 1060181276847148673391010026938335745816741868, 936846117076230415809841495005, 376610736988845, 19939418763631923, 2248014636913802854345, 518959514, 523394610793391034755242275513294110451986024, 5775, 45], 'label': '21499084800000000.gn.32._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744456
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1175091669961771287620, 711388268327536, 550922116975843703070109430712842592793642091, 11292160911557762812044319943, 86400, 523394637377846991014529359858371478956582420, 1073572741115654913612725087414631436222653372, 7224991939, 271353991366328659922789646263078433, 936846142877162970746584138800, 1596967352435307600459449840759649802442086432, 519004804, 21966950255151352570840231771944823347235835587, 523394610793391340046930052387949405322539616, 523395227572082247984601250329918103658723914, 4, 439621926659627165391252219492788562595198740542, 1596967352180400233732498815322003020272748811, 13181719754730243, 1073572741115655523389361533899424102924291843, 26313084630215417213826692771037312000, 523394611319652686844862283896177373099708250, 12, 27527506182452690092633134261589902908277847, 5779, 1175091670043680521612, 1073572741115654913612647582474208567234861372, 19228318375110503], 'label': '21499084800000000.gn.32._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744457
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [53952034933331435618759, 1596967377967221621680038895439640387677398900, 20, 82128315607622230855563896505943266314107279924, 526261673867414036371130750490506163, 1060180998989207710064820092936596779798246500, 82128315008481520290893646359650067035562088983, 1596967352180399907469657307846458715610533763, 21777790604882986857621725287, 17637988913211644444028090457454883859, 2248021018382920709805, 1046045235204556835953976001410846052108585603, 61730805206888994284676358506676770811342831444, 621068903014111007889232810083, 711387829232648, 754198607391072417692477366867949713821583863641, 80663, 82665101083798325259664959321453405797638455603, 7, 958008983, 27527532240629300250848616851395803875204411, 210410697889291779964230720827481029598199118626, 6758061133869376, 4, 6706108807, 5783, 2507696714614014443571120, 6423309468666761], 'label': '21499084800000000.gn.32._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744458
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [355419964088, 17366635248915985606634052431932496656, 82114923248445756391876449556060723486897909688, 958008975, 1073573948631288768058369714879918305381980179, 26313083693369431696779880332343449608, 6706108890, 12973046403, 1060181276847148357613820692578132454296753932, 21777818755979695319875651699, 376629378128644, 126004, 4, 41346687165332294364215526002803797732183362643, 271353675587897356093001242902153619, 21471827120082293031444403982371283721306293763, 26313083693369432871877596955484246423, 8, 631555128376731012132277442655, 5772, 14136059280599675505696396757192895100240023, 1582831614437478147364079764203843948082201695, 23, 334974202091085841319106919708620033484879159706, 19562808545401696, 27527515400254832718244349391656953967513539, 621068851310077153515249446412, 689245546451086732561517340794190443324870206829, 2248001832165433430400, 52879125524329488394088, 550922430109762504111746916069928057846544500, 26976036694725651536643], 'label': '21499084800000000.gn.32._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744459
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1073572741115655839166575596037348499067049044, 90740, 26976037406081347635140, 5760, 518918408, 418715158011297236425131955939771608753893797211, 19160185688, 121680, 27527506182452690092709566311078711294289212, 19228063067216640, 40823291694890424037588639628832344270915630013, 774582726032041200724007293616766027214596145405, 376623191030416, 62790241602445966912347410887868155380797753565, 2248021018382920709767, 26313083693369353016728935906511958411, 1582831605491029680326337651888227072495742012, 1596967361126848678992477196589880343206392976, 523394636851584696884875086926469062993862967, 1046045261246285916889367464935465927375247935, 1582831614182571052860807221628525624237023288, 523394915235787334078452081025400010493674807, 550922143288927407731621110997709100811664503, 82128314721932047124267776341947265329134616979, 4, 526261979159023133174902429169900160, 1073572741115654924904833222022372549188872331], 'label': '21499084800000000.gn.32._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744460
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [958003200, 2248001455561482307700, 3, 27527514873993463335936342738975849086466526, 1582831614182570159570167947072606448368685924, 17892897238560586729094654419792793549, 526261673867387060334436024320041063, 11292163159559594722608854899, 27527523549088243493645988349229932216365386, 12454122255, 518928488, 16, 26313083693369353016734982574148490260, 526261673867388235433240664149002091, 13181358148480095, 61194018836602556186283692621070007892480392366, 27528096648069367893227605663532779219602041, 26058175706382025296935444606779536019, 1582831631549232815367217091532540818352284168, 1569440436718453011350898503255538230647283148, 711388268327523, 28151116271283772247055, 500320450384929064943387373893410087205923427676, 80640, 14135746689369943629471939999296522468914631, 14135763784669167413405846015885382606876269, 10080], 'label': '21499084800000000.gn.32._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744461
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [3, 518918400, 20, 19160185680, 775091985191378002877621561313172636962938061557, 305291687776893171957215299703, 376610218035136, 5764, 536786379504285070494454196361318225690307223, 1060180990569020622895041685875604471554179771, 609776689223428097626638150480, 80643, 81591529228117936955000468604995163010104332227, 1596967352435325611053405817072313486306514660, 134805641628229200, 305294120114468082706940912659, 1596967351909046558145172502689654619320383412, 36303895357660101001858509162351, 536787256264448351119067721974429822383072184, 126133317248931826267480459081964869517488006468, 11292162086637004368341271604, 14135746944278235909007849010074205807507764, 17637989838765547729601205481322252180, 18609077968372105378189369434743, 6758079854889603, 141229099506020400, 2248001832172658406495, 526261989646463591678999497734365295, 6706073532], 'label': '21499084800000000.gn.32._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744462
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': '40.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': '40T314105', 'count': 40, 'diagramx': None, 'generators': [1492560, 8842165285200828560179200000000, 82114551828226134487377487962541930107598634910, 365290988654592000, 131760, 67, 41319158773188277730258038703354019840000000000, 59, 87657292800, 499761759264768000, 1569440731951261491611949165739732150471959669, 111, 2482968698602907074560000, 1914173239405265879040000, 354980102400, 903328163193369889064059435745280000000, 17637988913211644444021332377600000000, 1569439845726593236497489671748373708800000000, 42378596966710045760523654416236927173856724406, 915068325296268187140096000000], 'label': '21499084800000000.gn.40.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744463
    {'ambient': '21499084800000000.gn', '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': 48, 'diagramx': None, 'generators': [1219680, 18293300676702831630090240000000, 82142450441765617137631234142322976358400000000, 20920904698664044470400288964002971648000000000, 1073945628824160184019237067912494346474438575, 181062604800, 506519820398592000, 28151109136611901440000, 6266937600, 2561648749547339612160000, 86, 21777738900836704321536000000, 21471828023155530564389068210517606995020162575, 5760, 21457691981233379580862021454009371711245168009, 599157138536674346113573139251200000000, 63, 1181202549834004434843459382149120000000, 7134671351808000], 'label': '21499084800000000.gn.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: 167744464
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 17366635237623772991042812099055616004, 1569439872311031226525452648760968934826579081, 14136041659055808046090229113266245461714672, 86400, 17892896911491160051377248130081638404, 17892897216782849003342861998894085838, 754170707622372097542872362761616889322763613405, 321809013896976562368319604865552429364, 616778718076471751424172016247567921851, 26584437674250748914867243126906669402, 13181358587443203, 271353675587871453004506383585280004, 82128314695347600891367450163293244620800000000, 1206989371875284139701170743452239605840, 26584437368957224469835168882078652800, 550922143560281681804020875865081037874975390, 17892896911491160051390764251910207364, 936846064197124830880395354731, 958089604, 3, 40795764752860484796490758275392196750340151072, 480418063405814423003922362541234542842257303648, 17892897848339707217187835330308290670, 526261673867387060340859321773705600, 376610218070403, 17892897837045063336943939868510429280, 14135764310913179532682931244395576088792964, 26584464199131550300648846334859078483, 17892896933268898952470047400365676804, 8691540457466065593427589914435123203], 'label': '21499084800000000.gn.4._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744465
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19562808545406020, 621068928815030381305485556361, 27527506182452995384319736037817093922458167, 45367, 1073572767173839755352824416153601141567055271, 26976030648020213886011, 915068402903409722576953354088, 1046045235204573887923562332817844733585054911, 536786396870911781730184199817254196292698831, 536787282306178053123309320113195674909125133, 305291715927996596642168497211, 17892914616792966286761187301827574494, 1175091669949317125763, 83174359939498606161290508186721556400955548761, 305291690024875399481416835767, 23, 17637988924503805355585518237538064599, 523394611064763287157686428722493537948122960, 1596967378222129925251190575623551939573632191, 523394611319652686844940963953545008287846980, 1073573331581253014599339207456391049885008656, 8, 5779, 53952035309935386745691, 4, 11292213790670482125840510003, 523394636851567329136214471939871839741834205, 21967322543710977205375280889854090712611443317], 'label': '21499084800000000.gn.64._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744466
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19939418763315135, 1582831605491029680326337651888561837133829771, 27527506182452690092634207183845423601459767, 4, 26313083704662834680719359781141808703, 21777740075935132339212006487, 17637989522988333667589905963820266811, 27527506182453615646537492730974341470049128, 26313084303146042240169085040007443295, 8691549625894764418345423662481219695, 894653068413212180491724257895534678420, 608103587014199578140918214289989327983, 376610217984003, 327069377221679002642778413971, 609776690398532907080859715683, 19562808545280015, 77607519254743769102238, 42378595794199000102268469012002806956613319531, 631554506804328174511718042271, 6423297014540183, 23, 925553954989606592886787076490, 5779, 1181457494136178016634322976200030174080, 19939431217392020, 1175104851314171551932, 1060180981351218469783798427229880320000000000, 19228063586145143, 13516122267738727, 526261685159600851017722916292870375], 'label': '21499084800000000.gn.64._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744467
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [3, 271353675590380222610054571195996247, 20398255273348353769716516386674559363421662648, 41869336929568752714808814035695938148710623936, 958083840, 773550444854107117740144133564495302239130522858, 8691540762757728642784907880917213303, 327069400877278190240093148286, 10083, 26584437368957250372821560525783996815, 11, 86420, 1267872827691221757054011, 711381123170644, 26584437390734964545654347106319116179, 18721100892, 26313083693370619816646130128873228160, 27527532766890690604311529407893531716480096, 2248001455555215360004, 327069426677730587660313590408, 1060180981622573060439997424990986598518624575, 1888372313985175283997364, 523394610793391024269637310306518895269372168, 26584437368957277348845073874645868176, 523394610793408718279201603910504732723308164, 1175091669949317165376, 17366635237625660188265085473694607451, 12804754636483223, 1582831622857665233727402312313941466484280976], 'label': '21499084800000000.gn.64._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744468
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [1596967369547035776649122873125128561490774954, 3, 14135746689370836922541201960302913590962100, 28151121941372285897044, 27527506453806670972191189041988705644675768, 21777741148838871264061638983, 19939418763350416, 13181377308422404, 894653068434989919392202094544071680000, 1046045235459491337340977036702760160459407533, 5763, 14136345575155719784248241756211898827430336, 711381562220179, 12454047379, 526262588935712356609757854488918967, 12972965771, 536787265210895870018531846168986756807511052, 10099, 518928487, 7, 315777214062138635977488726967, 599157138841966010337535923364087279211, 167437968291584885059144016344701418943857975631, 81619055848865159340038984029671775204429430914, 936847356798428793077737633950, 1569439846252855520141619907552222141151564903, 523394611319652686844940963946787221103747206, 2248014636919111869360, 271353675587898429002410244849382480], 'label': '21499084800000000.gn.64._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744469
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [250696832392274111169854100996161094499235755427, 271354002657324033925274003559475219, 3, 523395201530352524201898018752727468917130307, 2248021018370027577623, 5767, 82114922935583164763315817420748988160549860400, 376623191030415, 9217802458402828700592272465150985712, 15, 12804747930380160, 86400, 61744196367241384792841809699368162974646246495, 519044415, 27527532240628690474159393795389327913100160, 12454167619, 1582831605491029680326338827223522005989587303, 609776690398538619002938336080, 631554456275629656885632649608, 17637998071156083783707287539278003780, 14135746418016867332636362003866099400432576, 21777738901201660558525389363, 1496895, 21777741148857722704017745207, 26058176610160075806476258784202348881, 523394637377829318782083467348743074510627271, 61744196384879373400761897925813309514352262320, 18720979216], 'label': '21499084800000000.gn.64._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744595
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [174356582400, 1292600836944248832000000, 105198648823489673881292976124763704436627020021, 61716669174184654273848588784174023484663363307, 17988815623552244375224320000000, 847440, 268719897600, 506519820398592000, 8946448455745580025685412413440000000, 28151109136611901440000, 42, 29, 536786370557827456806323203681655193600000000, 912274611649115469089744848158720000000, 9168428077252252519366656000000, 5760, 42365204008121479953778053151554168422400000000, 187312828632067694251899782089485511300474233582, 7134671351808000], 'label': '21499084800000000.gn.288._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744470
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17637988924503805355566666803330058096, 1569439854418142557906579366860456522339420251, 14136649746198038227252618800458719887450805, 1596967351909082219192674326819701112059817607, 86423, 550922143288928017508311509510341649555635296, 14135746418016257555947138588949849990870899, 376610736902412, 3, 774582725727590580954884536639997127500522770477, 13412044808, 523394619739848931151874462956042422056791047, 11292160911558473938298711048, 518918400, 10103, 1596967352180400539025326328913973909333059208, 523394610793391012977528102692935667627730564, 550923011357594123520251542463852662635819690, 621068852382987650489297100736, 1175105186084557859775, 18720984971, 1073573062669761410794920659625711961184612404, 13181370602521688, 62776850728116787908233194839718208769658536967, 1046045234933202550589416397907590726006742975, 20, 1060180998989207394288923359650958028040471620], 'label': '21499084800000000.gn.64._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744471
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [621068903014117765944099818160, 418728549154537925021060819285745876910736296320, 8946449381299509214353027154566144008, 27527506182453017162006932859895071969366400, 711375375151447, 13181358587523852, 19939437484364883, 8946448455745631729718890457422601608, 2248008590233273316415, 4, 315777215237243110675175219763, 41346686592233296460066234196031237741801836771, 25903114815741010889044, 11292187887562801088833327443, 321282751896039827310190659516650393535, 14135746944277931423411806070967991259544971, 52879144710546536780895, 518918400, 41346687191645342679242855952091359997834675308, 1190148998289752522565859408931985119347, 10103, 11, 321282751896040423081667323913397906496, 126019, 61716668870005379665204223074371495812349736335, 711375375110419, 526262283644129162900820876091120579, 82114923829964915161989489577386543319898588275, 15, 82114922935854518744195323771130241775523925140, 1060180981351218469783798427249443135770346811], 'label': '21499084800000000.gn.64._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744472
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [711393578260583, 17892897837045063336944274627400729692, 1569439854673041692243148377497535408567449695, 526261673867412963442117081964169623, 53952034933332393586579, 958044240, 27527514873993768627572416078827123285794640, 16, 8691540457466090321456782379433654963, 376611176032575, 28151109513223077432983, 10084, 4, 82114551828226134487377487962541930107598634887, 62240064358085222441071525535439707247815857939, 17366635237623826943072033521744901779, 2561648999260924145231280, 550922438529949274697832973495139868496103603, 1582831926773782207921885687296210344593807927, 2248001832166391437923, 27527532766890680118732466950977827700275208, 8691541089020518445714449990600403040, 23, 1046045260991378223902755803361904363361242172, 82142078448965124288224526396532474026915072720, 86403, 523394610793400486699672590621648280123550011, 526261673867415211443572649633535928, 17892896933268898952221045290362716819, 26584437368957224469707121408483015531], 'label': '21499084800000000.gn.80._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744473
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [526261673867415211443572649633535928, 17892897837045063336944274627400729692, 1569441027192282749608025502928111786351929605, 17366635237623826943072033521744901779, 10084, 28151109513223077432983, 8691540457466090321456782379433654963, 958044240, 523394610793400486699672590621648280123550011, 1582831926773782207921885687296210344593807927, 376611176032575, 2561648999260924145231280, 82114551828226134487377487962541930107598634887, 526261673867412963442117081964169623, 26584437368957224469707121408483015531, 2248001832166391437923, 16, 23, 62240064358085222441071525535439707247815857939, 27527514873993768627572416078827123285794640, 1046045260991378223902755803361904363361242172, 1569439854673041692243148377497535408567449695, 53952034933332393586579, 8691541089020518445714449990600403040, 711393578260583, 4, 86403, 27527532766890680118732466950977827700275208, 17892896933268898952221045290362716819], 'label': '21499084800000000.gn.80._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744474
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [82651338198783953723484997834332204486498015366, 711393578260583, 17892897837045063336944274627400729692, 1569439854673041692243148377497535408567449695, 526261673867412963442117081964169623, 53952034933332393586579, 958044240, 27527514873993768627572416078827123285794640, 16, 8691540457466090321456782379433654963, 376611176032575, 28151109513223077432983, 83174732236741529794679749403668117299287658245, 10084, 4, 62240064358085222441071525535439707247815857939, 17366635237623826943072033521744901779, 2561648999260924145231280, 550922438529949274697832973495139868496103603, 1582831926773782207921885687296210344593807927, 2248001832166391437923, 27527532766890680118732466950977827700275208, 8691541089020518445714449990600403040, 23, 1046045260991378223902755803361904363361242172, 86403, 523394610793400486699672590621648280123550011, 526261673867415211443572649633535928, 17892896933268898952221045290362716819, 26584437368957224469707121408483015531], 'label': '21499084800000000.gn.80._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744475
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 17366635237623772991042812099055616004, 1569439872311031226525452648760968934826579081, 14136041659055808046090229113266245461714672, 86400, 17892896911491160051377248130081638404, 17892897216782849003342861998894085838, 754170707622372097542872362761616889322763613405, 321809013896976562368319604865552429364, 616778718076471751424172016247567921851, 26584437674250748914867243126906669402, 13181358587443203, 418728549753686823350924447768089993866687873270, 271353675587871453004506383585280004, 82128314695347600891367450163293244620800000000, 1206989371875284139701170743452239605840, 26584437368957224469835168882078652800, 550922143560281681804020875865081037874975390, 17892896911491160051390764251910207364, 936846064197124830880395354731, 958089604, 3, 40795764752860484796490758275392196750340151072, 17892897848339707217187835330308290670, 526261673867387060340859321773705600, 376610218070403, 17892897837045063336943939868510429280, 14135764310913179532682931244395576088792964, 26584464199131550300648846334859078483, 17892896933268898952470047400365676804, 8691540457466065593427589914435123203], 'label': '21499084800000000.gn.4._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744476
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [526261673867415211443572649633535928, 17892897837045063336944274627400729692, 1569441027192282749608025502928111786351929605, 17366635237623826943072033521744901779, 10084, 28151109513223077432983, 8691540457466090321456782379433654963, 958044240, 523394610793400486699672590621648280123550011, 1582831926773782207921885687296210344593807927, 376611176032575, 2561648999260924145231280, 526261673867412963442117081964169623, 26584437368957224469707121408483015531, 2248001832166391437923, 16, 41346686870370813338756341175502699741488705764, 23, 62240064358085222441071525535439707247815857939, 27527514873993768627572416078827123285794640, 1046045260991378223902755803361904363361242172, 1569439854673041692243148377497535408567449695, 53952034933332393586579, 8691541089020518445714449990600403040, 711393578260583, 4, 86403, 27527532766890680118732466950977827700275208, 17892896933268898952221045290362716819], 'label': '21499084800000000.gn.80._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744477
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [82651338198783953723484997834332204486498015366, 711393578260583, 17892897837045063336944274627400729692, 1569439854673041692243148377497535408567449695, 526261673867412963442117081964169623, 53952034933332393586579, 958044240, 27527514873993768627572416078827123285794640, 16, 8691540457466090321456782379433654963, 376611176032575, 28151109513223077432983, 10084, 4, 82114551828226134487377487962541930107598634887, 62240064358085222441071525535439707247815857939, 17366635237623826943072033521744901779, 2561648999260924145231280, 550922438529949274697832973495139868496103603, 1582831926773782207921885687296210344593807927, 2248001832166391437923, 27527532766890680118732466950977827700275208, 8691541089020518445714449990600403040, 23, 1046045260991378223902755803361904363361242172, 86403, 523394610793400486699672590621648280123550011, 526261673867415211443572649633535928, 17892896933268898952221045290362716819, 26584437368957224469707121408483015531], 'label': '21499084800000000.gn.80._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744478
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [526261673867415211443572649633535928, 17892897837045063336944274627400729692, 1569441027192282749608025502928111786351929605, 17366635237623826943072033521744901779, 10084, 28151109513223077432983, 8691540457466090321456782379433654963, 958044240, 523394610793400486699672590621648280123550011, 1582831926773782207921885687296210344593807927, 376611176032575, 2561648999260924145231280, 82142078448965124288224526396532474026915072720, 526261673867412963442117081964169623, 26584437368957224469707121408483015531, 2248001832166391437923, 16, 23, 62240064358085222441071525535439707247815857939, 27527514873993768627572416078827123285794640, 1046045260991378223902755803361904363361242172, 1569439854673041692243148377497535408567449695, 53952034933332393586579, 8691541089020518445714449990600403040, 711393578260583, 4, 86403, 27527532766890680118732466950977827700275208, 17892896933268898952221045290362716819], 'label': '21499084800000000.gn.80._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744479
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [711393578260583, 17892897837045063336944274627400729692, 1569439854673041692243148377497535408567449695, 526261673867412963442117081964169623, 53952034933332393586579, 958044240, 27527514873993768627572416078827123285794640, 16, 8691540457466090321456782379433654963, 376611176032575, 28151109513223077432983, 83174732236741529794679749403668117299287658245, 10084, 4, 62240064358085222441071525535439707247815857939, 17366635237623826943072033521744901779, 2561648999260924145231280, 550922438529949274697832973495139868496103603, 1582831926773782207921885687296210344593807927, 2248001832166391437923, 27527532766890680118732466950977827700275208, 8691541089020518445714449990600403040, 23, 1046045260991378223902755803361904363361242172, 82142078448965124288224526396532474026915072720, 86403, 523394610793400486699672590621648280123550011, 526261673867415211443572649633535928, 17892896933268898952221045290362716819, 26584437368957224469707121408483015531], 'label': '21499084800000000.gn.80._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744480
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [41841809397328088940800577928005943296000000000, 1266799911147535564800000, 1207515633527373787860181183365120000000, 107, 894381714737624309038374023331840000000, 14135746418016246263783979029731737600000000, 365290988654592000, 262518244724736000, 1569441027192282749608025502928111786351929602, 305291636072840466137088000000, 12, 1457280, 673276435938787000320000, 82114551828226134487377487962541930107598634999, 82142078448965124288224526396532474026915072831, 806400, 18010593362453081079545856000000, 368392147200, 518918400], 'label': '21499084800000000.gn.80._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744481
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1060180990297684936125302555246016230987710846, 1060181007935682680207510814399400304717934783, 21777738900837415696392237385, 1569441026929143070909745967271401622248791855, 25, 9217837814158718106758304062222034077, 90736, 21966949960181711208831551816969575758818812147, 14135746689387932445046036205603038770323785, 17988815650528281781324388695006, 271389347927482484639985954431856547, 711381562259776, 14135763784651483887583946096768579534313663, 26830174325830838952176259077846, 18720979216, 14135746418051929088975247984734271498116400, 526261685159547971879393820672010166, 63, 61717041453797785634049428189302855294428447385, 26851952066979658260626027411806, 8691540784535439392019848503078336667, 550922117502114839365125336645506576684473037, 41040, 19562828224268227, 518959456, 526288515333873802705876020426293760, 1596968237615666799127582065956695779832460665, 5776, 526261673867387060341570708644899806, 14135746689396763318222029522682999013409166, 1046045252826117145605211404192466532790704006], 'label': '21499084800000000.gn.96._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744482
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1060180990297684936125302555246016230987710846, 1060181007935682680207510814399400304717934783, 21777738900837415696392237385, 25, 9217837814158718106758304062222034077, 90736, 21966949960181711208831551816969575758818812147, 14135746689387932445046036205603038770323785, 17988815650528281781324388695006, 271389347927482484639985954431856547, 711381562259776, 14135763784651483887583946096768579534313663, 20425781589390003884953183892679608210161214707, 26830174325830838952176259077846, 18720979216, 14135746418051929088975247984734271498116400, 526261685159547971879393820672010166, 63, 26851952066979658260626027411806, 8691540784535439392019848503078336667, 550922117502114839365125336645506576684473037, 41040, 19562828224268227, 518959456, 526288515333873802705876020426293760, 62253828423767659626218001061958759913868053958, 1596968237615666799127582065956695779832460665, 550922438529949274699046893922272173254689776, 5776, 526261673867387060341570708644899806, 14135746689396763318222029522682999013409166, 1046045252826117145605211404192466532790704006], 'label': '21499084800000000.gn.96._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744483
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1060180990297684936125302555246016230987710846, 1060181007935682680207510814399400304717934783, 21777738900837415696392237385, 1569441026929143070909745967271401622248791855, 25, 9217837814158718106758304062222034077, 90736, 21966949960181711208831551816969575758818812147, 14135746689387932445046036205603038770323785, 17988815650528281781324388695006, 62776478170900623321650871705538349250600550417, 271389347927482484639985954431856547, 711381562259776, 14135763784651483887583946096768579534313663, 26830174325830838952176259077846, 18720979216, 14135746418051929088975247984734271498116400, 526261685159547971879393820672010166, 63, 26851952066979658260626027411806, 8691540784535439392019848503078336667, 550922117502114839365125336645506576684473037, 41040, 19562828224268227, 518959456, 526288515333873802705876020426293760, 1596968237615666799127582065956695779832460665, 5776, 526261673867387060341570708644899806, 14135746689396763318222029522682999013409166, 1046045252826117145605211404192466532790704006], 'label': '21499084800000000.gn.96._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744484
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1060180990297684936125302555246016230987710846, 1060181007935682680207510814399400304717934783, 21777738900837415696392237385, 25, 9217837814158718106758304062222034077, 90736, 21966949960181711208831551816969575758818812147, 14135746689387932445046036205603038770323785, 17988815650528281781324388695006, 271389347927482484639985954431856547, 711381562259776, 14135763784651483887583946096768579534313663, 20425781589390003884953183892679608210161214707, 26830174325830838952176259077846, 18720979216, 14135746418051929088975247984734271498116400, 526261685159547971879393820672010166, 63, 61717041453797785634049428189302855294428447385, 26851952066979658260626027411806, 8691540784535439392019848503078336667, 550922117502114839365125336645506576684473037, 41040, 19562828224268227, 518959456, 526288515333873802705876020426293760, 1596968237615666799127582065956695779832460665, 550922438529949274699046893922272173254689776, 5776, 526261673867387060341570708644899806, 14135746689396763318222029522682999013409166, 1046045252826117145605211404192466532790704006], 'label': '21499084800000000.gn.96._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744485
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1060180990297684936125302555246016230987710846, 1060181007935682680207510814399400304717934783, 21777738900837415696392237385, 1569441026929143070909745967271401622248791855, 25, 9217837814158718106758304062222034077, 90736, 21966949960181711208831551816969575758818812147, 14135746689387932445046036205603038770323785, 17988815650528281781324388695006, 271389347927482484639985954431856547, 711381562259776, 14135763784651483887583946096768579534313663, 26830174325830838952176259077846, 18720979216, 14135746418051929088975247984734271498116400, 526261685159547971879393820672010166, 63, 26851952066979658260626027411806, 8691540784535439392019848503078336667, 550922117502114839365125336645506576684473037, 41040, 19562828224268227, 518959456, 21981086296802167867199588919953870916975912276, 526288515333873802705876020426293760, 1596968237615666799127582065956695779832460665, 5776, 526261673867387060341570708644899806, 14135746689396763318222029522682999013409166, 1046045252826117145605211404192466532790704006], 'label': '21499084800000000.gn.96._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744486
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [26584473051782413490659956992630386664, 8691540762757700491176386114221081717, 1569439872311031226525452648760968934826579081, 17892896922783320962935345451456313520, 17892896911491160051370824826880080718, 27527506182452690092631959163873179656243175, 17892897216782849003342861998894085838, 26584437674248861717651685644016761735, 616778718076471751424172016247567921851, 26584437674250748914867243126906669402, 8691540457466064418335919964160000055, 8691540457466064418335919971384946619, 774582725745220355860714510492298985929598223401, 4, 27527514873993452850332450717308877994809614, 550922143560281681804020875865081037874975390, 19562827266264964, 936846064197124830880395354731, 526261673867387060334436024320000000, 312862591955628094111206461215168262403, 518918456, 17892896911491160051370824826880000078, 17892897848339707217187835330308290670, 271081321541985500609147672058722327342687678879, 17892896911491160051370824826880010184, 26584437990026074604692939718934717463, 418715157395299733471351535219682989565626069139, 81, 41332550559010890490245576475955893823557315223, 26584437368957224469706744798265062536, 894907994400307319650953211209419008563], 'label': '21499084800000000.gn.4._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744487
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1060180990297684936125302555246016230987710846, 1060181007935682680207510814399400304717934783, 21777738900837415696392237385, 25, 9217837814158718106758304062222034077, 90736, 21966949960181711208831551816969575758818812147, 14135746689387932445046036205603038770323785, 17988815650528281781324388695006, 271389347927482484639985954431856547, 711381562259776, 14135763784651483887583946096768579534313663, 26830174325830838952176259077846, 18720979216, 14135746418051929088975247984734271498116400, 526261685159547971879393820672010166, 63, 26851952066979658260626027411806, 8691540784535439392019848503078336667, 550922117502114839365125336645506576684473037, 41040, 19562828224268227, 518959456, 21981086296802167867199588919953870916975912276, 526288515333873802705876020426293760, 62253828423767659626218001061958759913868053958, 1596968237615666799127582065956695779832460665, 550922438529949274699046893922272173254689776, 5776, 526261673867387060341570708644899806, 14135746689396763318222029522682999013409166, 1046045252826117145605211404192466532790704006], 'label': '21499084800000000.gn.96._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744488
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [1060180990297684936125302555246016230987710846, 1060181007935682680207510814399400304717934783, 21777738900837415696392237385, 25, 9217837814158718106758304062222034077, 90736, 21966949960181711208831551816969575758818812147, 14135746689387932445046036205603038770323785, 17988815650528281781324388695006, 271389347927482484639985954431856547, 711381562259776, 14135763784651483887583946096768579534313663, 26830174325830838952176259077846, 18720979216, 14135746418051929088975247984734271498116400, 526261685159547971879393820672010166, 63, 61717041453797785634049428189302855294428447385, 26851952066979658260626027411806, 8691540784535439392019848503078336667, 550922117502114839365125336645506576684473037, 41040, 19562828224268227, 518959456, 21981086296802167867199588919953870916975912276, 526288515333873802705876020426293760, 1596968237615666799127582065956695779832460665, 550922438529949274699046893922272173254689776, 5776, 526261673867387060341570708644899806, 14135746689396763318222029522682999013409166, 1046045252826117145605211404192466532790704006], 'label': '21499084800000000.gn.96._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '96.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '96._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744489
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [523394610793391012977475223548225126400000000, 815391881649749904115993301799517880156907128325, 93405312000, 122377398054912000, 1596967351909045926590121630911535513600000000, 1582831605491029680326337651881803776000000000, 17892896911491160051370824826880000000, 1941149256871928463360000, 894653068413212180491358966906880000000, 371337674932224000, 60, 368392147200, 815391882553349439572659630228747472270274254097, 925553903285559933665280000000, 86, 38, 26851952064731656428453888000000, 1269047912603090780160000, 45360, 373680, 815378490471767748143845940604768444860773106603], 'label': '21499084800000000.gn.100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744490
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [26830174325830819724132352000000, 51704033477769953280000, 18720979200, 493003698130944000, 622747494130966364160000, 11, 61207409996683556420967161199290272972800000000, 773536308221464443332356233664351884407225932007, 41040, 126000, 131760, 355938105600, 499761759264768000, 122377398054912000, 305291636072840466137088000000, 209350516934508553784980373356769273854995047644, 616523773774298119104609528053760000000, 26, 894653068413212180491358966906880000000, 42365204008121479953778053151554168422400000000, 147067614610959841429300436472789629856268938959], 'label': '21499084800000000.gn.100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744491
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [61730804607476947433944636422838498099200000000, 55, 128047474114560000, 646300418472124416000000, 8852650863190120306704384000000, 361686124800, 126656339892974668434828899527143849304007114806, 181062604800, 1073572741115654913612646407363310387200000000, 506519820398592000, 8946448455745580025685412413440000000, 105212040557212371770467290206473758322947701709, 27145951539892951936794624000000, 26536174850669524215791616000000, 894907976411491696098708459356160000000, 3, 2509944716069569658880000, 51120, 82, 766800, 21457691069493226223465193857476672292705550800], 'label': '21499084800000000.gn.100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744492
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': '120.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': 120, 'diagramx': None, 'generators': [295241021878258318770436335206400000016, 7, 181581523216, 21967322821568899875400817725153992925247825293, 1318503944625305518080023, 9217802131333451478670355988480000007, 82114551828226134487377487962541930107598634887, 1060180981351218469783798427229880320000000000, 1174320, 249713497313280023, 776880, 134805535248384023, 42364832631844725806029378513045173650750042181, 281173939200, 51704033477769953280016, 9767719188486388493844480000023, 20425781580706685949950381698514209996800000000, 23, 631554428124264425324544000023], 'label': '21499084800000000.gn.120.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '120.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744493
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [305291636072859694180995113043, 13181370602405772, 51704053040591471530096, 79855142614382812723200, 1582831605491030595394664123248084161908867767, 86411, 523394610793391012977477471562862052218495851, 12972960015, 10084, 4, 14135746418016551555472930995345781288748907, 17637988913211697323146480278451923255, 21444299326824089319595712423472032771584917908, 523394628686323313294351382584967616337637150, 14135746418017161332109275304676951802874724, 1596967352435308537303626840398977694804611293, 313133918789750746694628093524414208064, 925553903285579873103203414403, 19562808545321047, 79855143325775870981780, 77607141158845799475132, 523394628431380557745463140171481602251112893, 1175111232757862480660, 526261673867439939466718421648311059, 42365204607533536256453612128874212982389485472, 51704039901085609005371, 20, 21777740075947937079398486408], 'label': '21499084800000000.gn.128.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '128.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744494
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [18293300676702831630090240000000, 753661821341789102513712914767484762030519943521, 599412046534953861720922631700480000000, 61194018236919119977138313219156842905600000000, 361686124800, 93, 2508769624399620341760000, 1318503944625305518080000, 262518244724736000, 1198569185071628207834495770951680000000, 493338462769152000, 35378340135870352775970816000000, 608095390679062684801994826050752460973, 1537920, 12972960000, 753661821932526071941149929804805275841474254098, 1128960, 82, 41319158773188277730258038703354019840000000000], 'label': '21499084800000000.gn.144._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744495
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [20, 62253455552907751683780519127729205810844154854, 1267872820933141463040000, 773536309376353882936817034638606779300881174407, 131760, 82, 6706022400, 41332550532952714174086886683487449907200000000, 1209600, 936846064197104891461632000000, 87218208000, 526261673867387060334436024320000000, 903328163193369889064059435745280000000, 17683523987479403909087232000000, 486580401635328000, 20425781580706685949950381698514209996800000000, 126669731930078979871699613512175956491697128468, 378095736066048000, 2561648749547339612160000], 'label': '21499084800000000.gn.144._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '144.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744496
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [122000787836928000, 82128687870131858392191863116071605742733264103, 82114552141088708443704457015083068523107452121, 82142450441765617137631234142322976358400000000, 17988815623552244375224320000000, 1318503944625305518080000, 268719897600, 27439951015054247445135360000000, 493338462769152000, 607832233316832054686273608089600000000, 90720, 100, 187312828363147987137652865086208246955360825501, 550922116975843703070107182711386931200000000, 894653068413212180491358966906880000000, 111, 12972960000, 1128960, 1175091669949317120000], 'label': '21499084800000000.gn.144._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '144.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '144._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744497
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [21777817580906876811392762176, 19, 1060181893625866107017335756066667656269209632, 12454041604, 27527506182453321647139938590140942416157368, 536786388195816991086897637837843915941675700, 376622672066655, 26976018178043707455368, 526261685159550219900788807104706643, 774582725745220355860714510492298985929598223401, 1046046121166084464630768804796958455389473385, 518918408, 1582832517765659340035223146871089084112839546, 3, 82128687870131858392191863116071605742733264099, 5775, 27527515400254832718272500500416955211879054, 52879125859107099638412, 925553929188674372802779012420, 609776689223441237144954756468, 1569439854418133999255192410926591987935395687, 17637989240281072296830073859214966905, 1175091669950275123216, 40823291972493465223731773749119239487253419678, 912274629332639457744259655600863819534, 27527523549088864562497298420713546280903568, 61716668887108910874703867295854034088233315309, 51132, 7134691030800480], 'label': '21499084800000000.gn.4._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744498
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [621068877110990856836800512107, 82, 8691540468758304009932198816679719624, 26584473661559128617182554310661155863, 78680313797441900624743, 12973086059, 519004907, 26976017843272802355176, 27527506453806681457744450298161334593418164, 376616924057579, 59, 5760, 19678982456, 62267591004092968269366026587192219056621475255, 9217802131335934447369335874165135518, 1073572758753679814942435522020262130755871364, 1175091669968477310003, 1046045834608379595415958653731034576957849760, 550922143560281693096209938500323763398416561, 9217802752402379220784193634158423044, 6423296495616104, 126107, 107, 77607141870221174534503, 894381714737624310213466404663238298219, 271353675587872628076613531582066664, 1596967360600604677356865000080918100867574503], 'label': '21499084800000000.gn.160._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744499
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [27527523820442528858181936759399613339270427, 82, 2248008213622616127464, 13516122786688084, 86507, 41147, 1175105186072542897281, 1189622763773127647117271441611671558375, 82142450468350055443434601489185934003060035120, 271354296656722763055715626918890242, 61716668887643369166417301882585098800261414404, 21471826842224361835438588236501167497768213760, 7134672309821384, 355419193067, 376610737028507, 365291256416537598, 17366635564693147964713559268409021544, 6423309468576103, 59, 5760, 8946448771522795262909671642473577038, 958129307, 26313083693369353016734605982132526027, 1569439863093228789898503700947958139547747198, 313133918789751417723081804550546447522, 61730804607748301425309723113047701158060985019, 11292163159565976166379709360, 107, 609776691471442357916371850264], 'label': '21499084800000000.gn.160._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744500
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [27527523820442528858181936759399613339270427, 82, 2248008213622616127464, 13516122786688084, 62240063471852322516437480682220061173354615787, 86507, 41147, 1175105186072542897281, 1189622763773127647117271441611671558375, 61716668887643369166417301882585098800261414404, 82142450468350055443434601489185934003060035120, 271354296656722763055715626918890242, 7134672309821384, 355419193067, 20397882680609525260654340535266289432090055738, 376610737028507, 17366635564693147964713559268409021544, 365291256416537598, 6423309468576103, 59, 5760, 8946448771522795262909671642473577038, 958129307, 26313083693369353016734605982132526027, 313133918789751417723081804550546447522, 1569439863093228789898503700947958139547747198, 61730804607748301425309723113047701158060985019, 11292163159565976166379709360, 107, 609776691471442357916371850264], 'label': '21499084800000000.gn.160._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744501
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [27527523820442528858181936759399613339270427, 82, 2248008213622616127464, 13516122786688084, 62240063471852322516437480682220061173354615787, 86507, 41147, 1175105186072542897281, 1189622763773127647117271441611671558375, 61716668887643369166417301882585098800261414404, 82142450468350055443434601489185934003060035120, 271354296656722763055715626918890242, 7134672309821384, 355419193067, 376610737028507, 17366635564693147964713559268409021544, 365291256416537598, 6423309468576103, 59, 5760, 82142079064962627851781633989501229651021903441, 8946448771522795262909671642473577038, 958129307, 26313083693369353016734605982132526027, 313133918789751417723081804550546447522, 1569439863093228789898503700947958139547747198, 61730804607748301425309723113047701158060985019, 11292163159565976166379709360, 107, 609776691471442357916371850264], 'label': '21499084800000000.gn.160._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744502
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [8946457613688080463872660833401860504, 2248014636931565830401, 17637988913211696148055521541130537681, 12454132379, 82, 21471827406631748253617947573061941054692670804, 295495929876539722750118664607179468775, 1569439845726594173343553868853976558261273758, 13181376789555198, 19679033623, 1596967361126848057923574284673938167474457707, 609776716199465127084874593124, 894381723895566836452687599696360503044, 1596967351909046547658971765891349091129296563, 27527506182453615646612851877059051355847598, 103, 9217802131334745254849018629643303623, 321554105571629560159484926339866307255, 1582831605491029691618551442552285908107331758, 41869708914738452218701323218425251767725926483, 711375814205280, 52879144710547494794267, 19678988216, 518918400, 62240063471852322516437480682220061173354615736, 11292238518686116622991401121, 1596967352435308221526437506283110893043292243, 1596967351909045926590201486431911234755798961, 107, 12454041659, 18720979256], 'label': '21499084800000000.gn.160._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744503
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [8946457613688080463872660833401860504, 2248014636931565830401, 17637988913211696148055521541130537681, 12454132379, 82, 21471827406631748253617947573061941054692670804, 295495929876539722750118664607179468775, 1569439845726594173343553868853976558261273758, 19679033623, 13181376789555198, 1596967361126848057923574284673938167474457707, 62267591585875267339253961309014170300857060562, 609776716199465127084874593124, 894381723895566836452687599696360503044, 1596967351909046547658971765891349091129296563, 27527506182453615646612851877059051355847598, 103, 9217802131334745254849018629643303623, 321554105571629560159484926339866307255, 1582831605491029691618551442552285908107331758, 711375814205280, 52879144710547494794267, 19678988216, 518918400, 62240063471852322516437480682220061173354615736, 11292238518686116622991401121, 1596967352435308221526437506283110893043292243, 1596967351909045926590201486431911234755798961, 107, 12454041659, 18720979256], 'label': '21499084800000000.gn.160._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744504
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [21981085706073447499216977053520790772508254747, 271353697365610353822359464948844238, 82128314990843539631849602418672951156429227499, 523394620011210849612732937614613926943088640, 1060180990297702913646230522713256637611026563, 62240063471852322516437480682220061173354615761, 82, 376610737034267, 2248020683599122553739, 2248002166930590511547, 107, 1060180981877481058719511958937689824720711015, 27527506708714363960019019510402944923644321, 915068327544276777385823283223, 80747, 26313083998660989089562643963825028403, 19939431736345762, 21777740075934797567867786160, 1046045235459464518456252818606068295029831576, 1596967351909046231881785854874654565480698779, 518963867, 14135764310922010405835372014519174902026216, 1046045235459463919165193288509618353869004904, 6758062091959064, 10080, 61193647433206879220201828206177559057421750539, 617050053131689494819804834209663486721, 271353697365610353822024520206079920, 103], 'label': '21499084800000000.gn.160._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744505
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496958, 19562808545280056, 1190148998289750014869144794562560000078, 21967323116538586349195984214941427599610131280, 81605664679048281835326628993996289299046995278, 499761759264768000, 82142450441765617137631234142322976358400000056, 305291636072840466137088000056, 6706022400, 1889445223394158510080056, 40795764162394886717280563479805794713600000000, 312862565114161607368822216458240000078, 281173939200, 9767719188486388493844480000000, 806478, 699179543619843686400000, 42364832614206772564350685746369090604034736501, 56], 'label': '21499084800000000.gn.160._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744506
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496958, 81605664679048281835326628993996289299046995267, 19562808545280056, 1190148998289750014869144794562560000078, 42364832614206772564350685746369090604034736482, 499761759264768000, 82142450441765617137631234142322976358400000056, 305291636072840466137088000056, 6706022400, 1889445223394158510080056, 40795764162394886717280563479805794713600000000, 312862565114161607368822216458240000078, 281173939200, 9767719188486388493844480000000, 806478, 699179543619843686400000, 56, 21967323116538586349195984214941427599610131303], 'label': '21499084800000000.gn.160._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744507
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496958, 81605664679048281835326628993996289299046995267, 19562808545280056, 1190148998289750014869144794562560000078, 499761759264768000, 82142450441765617137631234142322976358400000056, 305291636072840466137088000056, 6706022400, 1889445223394158510080056, 40795764162394886717280563479805794713600000000, 312862565114161607368822216458240000078, 281173939200, 9767719188486388493844480000000, 806478, 699179543619843686400000, 42364832614206772564350685746369090604034736501, 56, 21967323116538586349195984214941427599610131303], 'label': '21499084800000000.gn.160._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744508
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [21777817580906876811392762176, 19, 1060181893625866107017335756066667656269209632, 12454041604, 27527506182453321647139938590140942416157368, 536786388195816991086897637837843915941675700, 376622672066655, 26976018178043707455368, 526261685159550219900788807104706643, 774582725745220355860714510492298985929598223401, 1046046121166084464630768804796958455389473385, 518918408, 1582832517765659340035223146871089084112839546, 3, 5775, 27527515400254832718272500500416955211879054, 52879125859107099638412, 925553929188674372802779012420, 609776689223441237144954756468, 1569439854418133999255192410926591987935395687, 17637989240281072296830073859214966905, 1175091669950275123216, 40823291972493465223731773749119239487253419678, 912274629332639457744259655600863819534, 27527523549088864562497298420713546280903568, 61716668887108910874703867295854034088233315309, 51132, 7134691030800480, 147040086210387450847551510135869606701449283852], 'label': '21499084800000000.gn.4._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744509
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496958, 81605664679048281835326628993996289299046995267, 19562808545280056, 1190148998289750014869144794562560000078, 21967323116538586349195984214941427599610131280, 499761759264768000, 82142450441765617137631234142322976358400000056, 305291636072840466137088000056, 6706022400, 1889445223394158510080056, 40795764162394886717280563479805794713600000000, 312862565114161607368822216458240000078, 281173939200, 9767719188486388493844480000000, 806478, 699179543619843686400000, 42364832614206772564350685746369090604034736501, 56], 'label': '21499084800000000.gn.160._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744510
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [52879145087157712691760, 958003200, 631554430372278685627170937758, 26058176010867078447522699485153542398, 86478, 550922116975843724847923690708478136694931120, 609776742102572808153495827336, 21777738900856643746566201678, 62240063471852323137504471719624436769411267680, 7225027278, 7134684763978800, 17637989522988335915457643974609725358, 21471826842224361835438588236501167497768213682, 56, 550922134613833531350105074116466357812025520, 17892897543045616326757902904753238456, 14135755364465029078765954416204569262905576, 23, 61207410022996649576764092532802965111756860776, 13516128973670456, 1189877644614162143416159850987520086478, 13516135679698616, 915068403976325889640034493438, 271353675587950133048692755947145600, 20425781598344684619589054892471125087923189198, 27527532240628994960479343928835257218855520, 376610737028478, 1046045252826099450790923234454829557644083838, 82142079064962627851781633989501229651021903360, 590465598384499918943170066761274282158], 'label': '21499084800000000.gn.160._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744514
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [52879145087157712691760, 958003200, 631554430372278685627170937758, 26058176010867078447522699485153542398, 86478, 550922116975843724847923690708478136694931120, 609776742102572808153495827336, 21777738900856643746566201678, 62240063471852323137504471719624436769411267680, 7225027278, 20397882680609525260654340535266289432090055682, 7134684763978800, 17637989522988335915457643974609725358, 62240063471852322516437480682220061173354615758, 56, 62267591585875267339253961309014170300857060536, 550922134613833531350105074116466357812025520, 17892897543045616326757902904753238456, 14135755364465029078765954416204569262905576, 23, 61207410022996649576764092532802965111756860776, 13516128973670456, 1189877644614162143416159850987520086478, 13516135679698616, 915068403976325889640034493438, 271353675587950133048692755947145600, 20425781598344684619589054892471125087923189198, 27527532240628994960479343928835257218855520, 376610737028478, 1046045252826099450790923234454829557644083838, 590465598384499918943170066761274282158], 'label': '21499084800000000.gn.160._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744515
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [52879145087157712691760, 958003200, 631554430372278685627170937758, 26058176010867078447522699485153542398, 83188124890879466989717829005585198177117294562, 86478, 550922116975843724847923690708478136694931120, 609776742102572808153495827336, 21777738900856643746566201678, 62240063471852323137504471719624436769411267680, 7225027278, 7134684763978800, 17637989522988335915457643974609725358, 21471826842224361835438588236501167497768213682, 56, 550922134613833531350105074116466357812025520, 17892897543045616326757902904753238456, 14135755364465029078765954416204569262905576, 23, 61207410022996649576764092532802965111756860776, 13516128973670456, 1189877644614162143416159850987520086478, 13516135679698616, 915068403976325889640034493438, 271353675587950133048692755947145600, 20425781598344684619589054892471125087923189198, 27527532240628994960479343928835257218855520, 376610737028478, 1046045252826099450790923234454829557644083838, 590465598384499918943170066761274282158], 'label': '21499084800000000.gn.160._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744516
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [52879145087157712691760, 958003200, 631554430372278685627170937758, 26058176010867078447522699485153542398, 86478, 550922116975843724847923690708478136694931120, 609776742102572808153495827336, 21777738900856643746566201678, 62240063471852323137504471719624436769411267680, 7225027278, 7134684763978800, 17637989522988335915457643974609725358, 62240063471852322516437480682220061173354615758, 56, 62267591585875267339253961309014170300857060536, 550922134613833531350105074116466357812025520, 17892897543045616326757902904753238456, 14135755364465029078765954416204569262905576, 23, 61207410022996649576764092532802965111756860776, 13516128973670456, 1189877644614162143416159850987520086478, 13516135679698616, 915068403976325889640034493438, 271353675587950133048692755947145600, 20425781598344684619589054892471125087923189198, 27527532240628994960479343928835257218855520, 376610737028478, 1046045252826099450790923234454829557644083838, 82142079064962627851781633989501229651021903360, 590465598384499918943170066761274282158], 'label': '21499084800000000.gn.160._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744517
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [52879145087157712691760, 958003200, 631554430372278685627170937758, 26058176010867078447522699485153542398, 86478, 550922116975843724847923690708478136694931120, 609776742102572808153495827336, 21777738900856643746566201678, 62240063471852323137504471719624436769411267680, 7225027278, 7134684763978800, 17637989522988335915457643974609725358, 21471826842224361835438588236501167497768213682, 56, 550922134613833531350105074116466357812025520, 17892897543045616326757902904753238456, 14135755364465029078765954416204569262905576, 23, 61207410022996649576764092532802965111756860776, 13516128973670456, 1189877644614162143416159850987520086478, 13516135679698616, 915068403976325889640034493438, 271353675587950133048692755947145600, 20425781598344684619589054892471125087923189198, 27527532240628994960479343928835257218855520, 376610737028478, 1046045252826099450790923234454829557644083838, 1046045834608379595415958653731034576957849682, 590465598384499918943170066761274282158], 'label': '21499084800000000.gn.160._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744518
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [52879145087157712691760, 958003200, 631554430372278685627170937758, 26058176010867078447522699485153542398, 86478, 550922116975843724847923690708478136694931120, 609776742102572808153495827336, 21777738900856643746566201678, 62240063471852323137504471719624436769411267680, 7225027278, 20397882680609525260654340535266289432090055682, 7134684763978800, 17637989522988335915457643974609725358, 62240063471852322516437480682220061173354615758, 56, 550922134613833531350105074116466357812025520, 17892897543045616326757902904753238456, 14135755364465029078765954416204569262905576, 23, 61207410022996649576764092532802965111756860776, 13516128973670456, 1189877644614162143416159850987520086478, 13516135679698616, 915068403976325889640034493438, 271353675587950133048692755947145600, 20425781598344684619589054892471125087923189198, 27527532240628994960479343928835257218855520, 376610737028478, 1046045252826099450790923234454829557644083838, 1046045834608379595415958653731034576957849682, 590465598384499918943170066761274282158], 'label': '21499084800000000.gn.160._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744519
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [21777817580906876811392762176, 19, 1060181893625866107017335756066667656269209632, 12454041604, 27527506182453321647139938590140942416157368, 536786388195816991086897637837843915941675700, 376622672066655, 26976018178043707455368, 526261685159550219900788807104706643, 1046046121166084464630768804796958455389473385, 167437968577879485627608346737406718428431647391, 518918408, 1582832517765659340035223146871089084112839546, 3, 82128687870131858392191863116071605742733264099, 5775, 27527515400254832718272500500416955211879054, 52879125859107099638412, 925553929188674372802779012420, 609776689223441237144954756468, 1569439854418133999255192410926591987935395687, 17637989240281072296830073859214966905, 1175091669950275123216, 40823291972493465223731773749119239487253419678, 912274629332639457744259655600863819534, 27527523549088864562497298420713546280903568, 61716668887108910874703867295854034088233315309, 51132, 7134691030800480], 'label': '21499084800000000.gn.4._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744520
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [52879145087157712691760, 958003200, 631554430372278685627170937758, 26058176010867078447522699485153542398, 86478, 550922116975843724847923690708478136694931120, 609776742102572808153495827336, 21777738900856643746566201678, 62240063471852323137504471719624436769411267680, 7225027278, 7134684763978800, 17637989522988335915457643974609725358, 62240063471852322516437480682220061173354615758, 56, 550922134613833531350105074116466357812025520, 17892897543045616326757902904753238456, 14135755364465029078765954416204569262905576, 23, 61207410022996649576764092532802965111756860776, 13516128973670456, 1189877644614162143416159850987520086478, 13516135679698616, 915068403976325889640034493438, 271353675587950133048692755947145600, 20425781598344684619589054892471125087923189198, 27527532240628994960479343928835257218855520, 376610737028478, 1046045252826099450790923234454829557644083838, 1046045834608379595415958653731034576957849682, 82142079064962627851781633989501229651021903360, 590465598384499918943170066761274282158], 'label': '21499084800000000.gn.160._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744521
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496958, 81605664679048281835326628993996289299046995267, 19562808545280056, 1190148998289750014869144794562560000078, 42364832614206772564350685746369090604034736482, 21967323116538586349195984214941427599610131280, 499761759264768000, 82142450441765617137631234142322976358400000056, 305291636072840466137088000056, 6706022400, 1889445223394158510080056, 40795764162394886717280563479805794713600000000, 312862565114161607368822216458240000078, 281173939200, 9767719188486388493844480000000, 806478, 699179543619843686400000, 56], 'label': '21499084800000000.gn.160._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '160.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '160._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744522
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [493715072987216682, 1175463007642970328989, 21777741149331498359199575069, 83160968466283650234478992143300803506983238574, 711374856197811, 42, 1569439863364583064777460587130274551627401660, 62776479047907470814981509909193836421964451389, 518918407, 14136354776511868517682001011337788485125251, 27527532766890374828985839352422529669314691, 27527532240628406961477317291201474367824700, 271353686880111044587269112879257629, 19160064000, 2248494794036705612996, 250048262909491307, 936846144052260687207822314220, 621068929990480584189029466727, 27527506182452701384794045812594298400945980, 7, 631554479828298279718127440567, 925553905533933103524805722762, 27527532766890364341494749731056333009609614, 17366636152692152239353025402546370729, 62253455535532884471333167440108107215678470427, 10080, 27527506182453005869924701346318899609605811], 'label': '21499084800000000.gn.192._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744523
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [493715072987216682, 1175463007642970328989, 21777741149331498359199575069, 83160968466283650234478992143300803506983238574, 711374856197811, 42, 1569439863364583064777460587130274551627401660, 518918407, 14136354776511868517682001011337788485125251, 27527532766890374828985839352422529669314691, 27527532240628406961477317291201474367824700, 61194019131300853324248980826188702688780540312, 271353686880111044587269112879257629, 19160064000, 2248494794036705612996, 250048262909491307, 936846144052260687207822314220, 621068929990480584189029466727, 27527506182452701384794045812594298400945980, 7, 631554479828298279718127440567, 925553905533933103524805722762, 27527532766890364341494749731056333009609614, 17366636152692152239353025402546370729, 62253455535532884471333167440108107215678470427, 550922429583500818952201243641444074210567214, 10080, 27527506182453005869924701346318899609605811], 'label': '21499084800000000.gn.192._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744524
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [493715072987216682, 1175463007642970328989, 21777741149331498359199575069, 83160968466283650234478992143300803506983238574, 711374856197811, 42, 1569439863364583064777460587130274551627401660, 518918407, 14136354776511868517682001011337788485125251, 27527532766890374828985839352422529669314691, 27527532240628406961477317291201474367824700, 271353686880111044587269112879257629, 82128687305453082332485572105115761792987122400, 19160064000, 2248494794036705612996, 250048262909491307, 936846144052260687207822314220, 621068929990480584189029466727, 27527506182452701384794045812594298400945980, 7, 631554479828298279718127440567, 925553905533933103524805722762, 27527532766890364341494749731056333009609614, 17366636152692152239353025402546370729, 62253455535532884471333167440108107215678470427, 550922429583500818952201243641444074210567214, 10080, 27527506182453005869924701346318899609605811], 'label': '21499084800000000.gn.192._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744525
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [14135746418016246263863834179104200268977920, 62790241602174622078118163033407615926272000051, 271353675587898429015926379570991491, 42, 9217802131333451478670355995705021447, 26584437380249462988393572808047626080, 27527506182452701385465074362320263076154967, 61221545743372926669888269212264506403405373309, 25903114439118777948329, 25903127620494170413980, 376611176077980, 82128315312397654350128827551448831094419203214, 1046045235459463919165219089441796169859291002, 51704033477770472320122, 27527514873993169336461181456983288609802169, 7, 915068325296268187159776439787, 2248001455555734329527, 550922429583500818952201243641444074210567214, 26058175706382075928302092219468113229, 10080, 80647, 536786388450724379589672318078288987913937331, 519004800, 21457691668370823308060358333353755121718847978], 'label': '21499084800000000.gn.192._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744526
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [14135746418016246263863834179104200268977920, 62790241602174622078118163033407615926272000051, 271353675587898429015926379570991491, 42, 9217802131333451478670355995705021447, 26584437380249462988393572808047626080, 27527506182452701385465074362320263076154967, 61221545743372926669888269212264506403405373309, 25903114439118777948329, 25903127620494170413980, 62267590978297932884536042594540324523964956211, 376611176077980, 82128315312397654350128827551448831094419203214, 1046045235459463919165219089441796169859291002, 51704033477770472320122, 27527514873993169336461181456983288609802169, 7, 915068325296268187159776439787, 2248001455555734329527, 550922429583500818952201243641444074210567214, 26058175706382075928302092219468113229, 10080, 519004800, 536786388450724379589672318078288987913937331, 80647], 'label': '21499084800000000.gn.192._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744527
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [14135746689405615971540037238502877925954602, 1046045234933202550589389421877319053998456887, 8691540773243304383819103903614817127, 958134967, 5760, 61744569272851034802941169268085138397138256109, 12454128000, 526261673867412963442493698449091251, 1175105186077851796320, 42, 17366635237623825870161913132567388807, 52879125147720228409002, 14136650017560272466540149896362826921927076, 11292189062673657216798720042, 121687, 7134671351849047, 20935040766364840063949531036740414373756261134, 36292603147292293159677936064589, 17892896911491162299628751959702528116, 550922429583500818952201243641444074210567127, 7, 14135764310913169048966338748176078483058654, 14135772731100549409853195696482384725195660, 711374856192051, 14135746418016867332636362369157093803002771, 80647], 'label': '21499084800000000.gn.192._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744528
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [26851952064731656428453888000000, 20425781580706685949950381698514209996800000116, 1174371, 621068850134972678799360000000, 87657292800, 1596596540047954706909321924368533004001306996, 2507696714614014443520000, 365290988654592000, 42, 249713497313280042, 536786370557827456806323203681655193600000089, 295767283552125705830770771230720000089, 10080, 62267590978297932884536042594540324523964956189, 12972960000, 17366635237623772991036388802560000089, 621572402461017047040089], 'label': '21499084800000000.gn.192._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744529
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [26851952064731656428453888000000, 20425781580706685949950381698514209996800000116, 1174371, 621068850134972678799360000000, 87657292800, 2507696714614014443520000, 365290988654592000, 42, 249713497313280042, 536786370557827456806323203681655193600000089, 295767283552125705830770771230720000089, 10080, 1596596540047954706909321924368533004001306974, 62267590978297932884536042594540324523964956189, 12972960000, 17366635237623772991036388802560000089, 621572402461017047040089], 'label': '21499084800000000.gn.192._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744530
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [21777817580906876811392762176, 1060181893625866107017335756066667656269209632, 19, 12454041604, 27527506182453321647139938590140942416157368, 536786388195816991086897637837843915941675700, 376622672066655, 26976018178043707455368, 526261685159550219900788807104706643, 1046046121166084464630768804796958455389473385, 167437968577879485627608346737406718428431647391, 1582832517765659340035223146871089084112839546, 518918408, 3, 41332550550845646779697879584950945044524118480, 815915276269761123785995336726248312601281267757, 5775, 27527515400254832718272500500416955211879054, 52879125859107099638412, 925553929188674372802779012420, 609776689223441237144954756468, 1569439854418133999255192410926591987935395687, 17637989240281072296830073859214966905, 1175091669950275123216, 40823291972493465223731773749119239487253419678, 912274629332639457744259655600863819534, 61744569558874228928759512310839797314076639459, 27527523549088864562497298420713546280903568, 51132, 7134691030800480], 'label': '21499084800000000.gn.4._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744531
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [26851952064731656428453888000000, 20425781580706685949950381698514209996800000116, 1174371, 621068850134972678799360000000, 87657292800, 2507696714614014443520000, 365290988654592000, 42, 249713497313280042, 536786370557827456806323203681655193600000089, 295767283552125705830770771230720000089, 10080, 1596596540047954706909321924368533004001306974, 12972960000, 17366635237623772991036388802560000089, 621572402461017047040089, 62267590978297932884536042594540324523964956211], 'label': '21499084800000000.gn.192._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744532
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [26851952064731656428453888000000, 20425781580706685949950381698514209996800000116, 1174371, 621068850134972678799360000000, 87657292800, 1596596540047954706909321924368533004001306996, 2507696714614014443520000, 365290988654592000, 42, 249713497313280042, 536786370557827456806323203681655193600000089, 295767283552125705830770771230720000089, 10080, 12972960000, 17366635237623772991036388802560000089, 621572402461017047040089, 62267590978297932884536042594540324523964956211], 'label': '21499084800000000.gn.192._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744533
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [21777816507984621216534175971, 1596967351909046536368051751642819693746400080, 1596967351909046231881757703758759986291278762, 26313110523545542491846257483669199454, 21967322543710977205375280889854090712611443269, 26584437368957225644798414753770299614, 1596967351909046852144671216897076155710902507, 126007, 7, 42, 7225031527, 958093927, 1073572758482316992704224644709383046654953091, 41332551141311210079857214200271607169401450080, 26841466486742377486688569548836, 26584437368957252620816592796957706122, 41047, 526261673867387060341194098426910042, 5760, 13181358587533927, 271389358413060473944913842993718987, 26841466486742377863286333571854, 550922116975861702371308724254266842468802649, 9217837814158640499610386837671538480, 376629897047100, 550922429583500818952201243641444074210567120, 27527523549105927018924995680674279306933929, 81605664071207798522990196139969643103264768094, 550922134342496951288561130793420016871796611, 26584437368959085866016402803336619636], 'label': '21499084800000000.gn.192._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '192.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '192._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744534
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [20398254074524233271149910650915945407115264094, 62790241602174586101293498851172076749758089620, 885706620872535003369089324036887002814, 20398254100582444943066351144130984772005267239, 21981085680541525235120352737669042928204138278, 62790241602174586101293498851191304811867146080, 83188123700738664719347486446992050576793969385, 1582831606017291354193776416263233699246960574, 74, 62790241602174586101293498851172076748800000000, 82128314695347600891367450163293244620800121680, 94, 21980714590024877059811435693057423672018671958, 1060180981351218469783798427229880338721836735, 12454047360, 81605664071207789680824963817767180272338646880, 82128314695347600891367450163293955996614285958, 1060180981351218469783798427229880320000000000, 119, 62790241602174586101293498851172076749318928480, 1060180998989207688287158799247097971179207540, 20398254074524233259857749739351048192000000000, 61207409996683557030743928029878715623965641040, 21980713686696722729976205211540604597464840978, 10080, 61730804607476947433944638670846376957617120174, 61207409997209818094834626939675653448817669798, 61207410604515799189741244261875035000995523219, 1060180981351218469783798427229880339160144660, 81605664071207789680824936842114293210141120585, 81605664080425591812158415296456764291313785718, 82128314695347601218436825136970415085691018285], 'label': '21499084800000000.gn.200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744535
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [20398254074524233271149910650915945407115264094, 62790241602174586101293498851172076749758089620, 885706620872535003369089324036887002814, 20398254100582444943066351144130984772005267239, 21981085680541525235120352737669042928204138278, 81605664983490642167902932329119269470615228758, 62790241602174586101293498851191304811867146080, 1582831606017291354193776416263233699246960574, 74, 62790241602174586101293498851172076748800000000, 82128314695347600891367450163293244620800121680, 732727153176328413951242354861205923189008814879, 94, 1060180981351218469783798427229880338721836735, 12454047360, 81605664071207789680824963817767180272338646880, 82128314695347600891367450163293955996614285958, 1060180981351218469783798427229880320000000000, 119, 62790241602174586101293498851172076749318928480, 1060180998989207688287158799247097971179207540, 20398254074524233259857749739351048192000000000, 61207409996683557030743928029878715623965641040, 10080, 61730804607476947433944638670846376957617120174, 61207409997209818094834626939675653448817669798, 61207410604515799189741244261875035000995523219, 1060180981351218469783798427229880339160144660, 81605664071207789680824936842114293210141120585, 81605664080425591812158415296456764291313785718, 82128314695347601218436825136970415085691018285, 61207410005630004888006222837498138533732744160], 'label': '21499084800000000.gn.200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744536
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [20398254074524233271149910650915945407115264094, 62790241602174586101293498851172076749758089620, 885706620872535003369089324036887002814, 20398254100582444943066351144130984772005267239, 21981085680541525235120352737669042928204138278, 62790241602174586101293498851191304811867146080, 83188123700738664719347486446992050576793969385, 1582831606017291354193776416263233699246960574, 74, 793934562886454257281897725804922769317111873320, 62790241602174586101293498851172076748800000000, 82128314695347600891367450163293244620800121680, 94, 1060180981351218469783798427229880338721836735, 12454047360, 81605664071207789680824963817767180272338646880, 82128314695347600891367450163293955996614285958, 1060180981351218469783798427229880320000000000, 119, 62790241602174586101293498851172076749318928480, 1060180998989207688287158799247097971179207540, 20398254074524233259857749739351048192000000000, 61207409996683557030743928029878715623965641040, 21980713686696722729976205211540604597464840978, 10080, 61730804607476947433944638670846376957617120174, 61207409997209818094834626939675653448817669798, 61207410604515799189741244261875035000995523219, 1060180981351218469783798427229880339160144660, 81605664071207789680824936842114293210141120585, 81605664080425591812158415296456764291313785718, 82128314695347601218436825136970415085691018285], 'label': '21499084800000000.gn.200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744537
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [20398254074524233271149910650915945407115264094, 62790241602174586101293498851172076749758089620, 885706620872535003369089324036887002814, 20398254100582444943066351144130984772005267239, 21981085680541525235120352737669042928204138278, 62790241602174586101293498851191304811867146080, 1582831606017291354193776416263233699246960574, 74, 62790241602174586101293498851172076748800000000, 82128314695347600891367450163293244620800121680, 732727153176328413951242354861205923189008814879, 94, 21980714590024877059811435693057423672018671958, 1060180981351218469783798427229880338721836735, 12454047360, 81605664071207789680824963817767180272338646880, 82128314695347600891367450163293955996614285958, 1060180981351218469783798427229880320000000000, 119, 62790241602174586101293498851172076749318928480, 1060180998989207688287158799247097971179207540, 20398254074524233259857749739351048192000000000, 61207409996683557030743928029878715623965641040, 61730804607476947433944638670846376957617120174, 10080, 61207409997209818094834626939675653448817669798, 61207410604515799189741244261875035000995523219, 1060180981351218469783798427229880339160144660, 81605664071207789680824936842114293210141120585, 81605664080425591812158415296456764291313785718, 82128314695347601218436825136970415085691018285], 'label': '21499084800000000.gn.200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744538
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [20398254074524233271149910650915945407115264094, 62790241602174586101293498851172076749758089620, 885706620872535003369089324036887002814, 20398254100582444943066351144130984772005267239, 21981085680541525235120352737669042928204138278, 815915276842860069858721674358434215361820529894, 62790241602174586101293498851191304811867146080, 83188123700738664719347486446992050576793969385, 1582831606017291354193776416263233699246960574, 74, 62790241602174586101293498851172076748800000000, 82128314695347600891367450163293244620800121680, 94, 1060180981351218469783798427229880338721836735, 12454047360, 81605664071207789680824963817767180272338646880, 82128314695347600891367450163293955996614285958, 1060180981351218469783798427229880320000000000, 119, 62790241602174586101293498851172076749318928480, 1060180998989207688287158799247097971179207540, 20398254074524233259857749739351048192000000000, 61207409996683557030743928029878715623965641040, 10080, 61730804607476947433944638670846376957617120174, 61207409997209818094834626939675653448817669798, 61207410604515799189741244261875035000995523219, 1060180981351218469783798427229880339160144660, 81605664071207789680824936842114293210141120585, 81605664080425591812158415296456764291313785718, 82128314695347601218436825136970415085691018285], 'label': '21499084800000000.gn.200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744539
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [20398254074524233271149910650915945407115264094, 62790241602174586101293498851172076749758089620, 885706620872535003369089324036887002814, 20398254100582444943066351144130984772005267239, 21981085680541525235120352737669042928204138278, 815915276842860069858721674358434215361820529894, 81605664983490642167902932329119269470615228758, 62790241602174586101293498851191304811867146080, 1582831606017291354193776416263233699246960574, 74, 62790241602174586101293498851172076748800000000, 82128314695347600891367450163293244620800121680, 94, 1060180981351218469783798427229880338721836735, 12454047360, 81605664071207789680824963817767180272338646880, 82128314695347600891367450163293955996614285958, 1060180981351218469783798427229880320000000000, 119, 62790241602174586101293498851172076749318928480, 1060180998989207688287158799247097971179207540, 20398254074524233259857749739351048192000000000, 61207409996683557030743928029878715623965641040, 10080, 61730804607476947433944638670846376957617120174, 61207409997209818094834626939675653448817669798, 61207410604515799189741244261875035000995523219, 1060180981351218469783798427229880339160144660, 81605664071207789680824936842114293210141120585, 81605664080425591812158415296456764291313785718, 82128314695347601218436825136970415085691018285], 'label': '21499084800000000.gn.200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744540
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [20398254074524233271149910650915945407115264094, 62790241602174586101293498851172076749758089620, 885706620872535003369089324036887002814, 20398254100582444943066351144130984772005267239, 21981085680541525235120352737669042928204138278, 815915276842860069858721674358434215361820529894, 62790241602174586101293498851191304811867146080, 1582831606017291354193776416263233699246960574, 74, 62790241602174586101293498851172076748800000000, 82128314695347600891367450163293244620800121680, 94, 21980714590024877059811435693057423672018671958, 1060180981351218469783798427229880338721836735, 12454047360, 81605664071207789680824963817767180272338646880, 82128314695347600891367450163293955996614285958, 1060180981351218469783798427229880320000000000, 119, 62790241602174586101293498851172076749318928480, 1060180998989207688287158799247097971179207540, 20398254074524233259857749739351048192000000000, 61207409996683557030743928029878715623965641040, 10080, 61730804607476947433944638670846376957617120174, 61207409997209818094834626939675653448817669798, 61207410604515799189741244261875035000995523219, 1060180981351218469783798427229880339160144660, 81605664071207789680824936842114293210141120585, 81605664080425591812158415296456764291313785718, 82128314695347601218436825136970415085691018285], 'label': '21499084800000000.gn.200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744541
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [305291661975960951948410563211, 1569439872311031226525452648760968934826579081, 6706144088, 609776767903485088745453270888, 17637989850057761520258506249533271044, 41869336921148531165173758418211231048735148753, 27527532766890995896000481136975609997296004, 52879125524348648579764, 21777817580900830125115090576, 631554430372278685640582986803, 21457691069748134537920091576489562772887465642, 774582725745220355860714510492298985929598223401, 4, 536786379249368230049655636203949190065756252, 167437968577879485627608346737406718428431647391, 27527523820442518372654578590633802589981452, 126003, 550922125922292170107849295046232106001398932, 376629378179760, 19228051132063927, 5760, 82128687870131858392191863116071605742733264099, 19160074095, 6758068358855543, 958013299, 526261989644601122486588112580204812, 550922143560281997583150286322656738395904001, 321809013569908456442676703614831620451, 40795764188707979862592588925235827106807532896, 20, 61716669174184645736974939656185929442551363245], 'label': '21499084800000000.gn.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744542
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [894907994400307319650953211209419008563, 1569439872311031226525452648760968934826579081, 17892897216782849003342861998894085838, 26584437674250748914867243126906669402, 17892896922783320962935345451456313520, 82128687870131858392191863116071605742733264099, 19562827266264964, 936846064197124830880395354731, 526261673867387060334436024320000000, 41332550559010890490245576475955893823557315223, 17892897848339707217187835330308290670, 17892896911491160051370824826880010184, 26584437368957224469706744798265062536, 26584437990026074604692939718934717463, 27527514873993452850332450717308877994809614, 8691540457466064418335919964160000055, 460033944478822438496989884730136564975751644880, 518918456, 26584473051782413490659956992630386664, 17892896911491160051370824826880080718, 8691540762757700491176386114221081717, 8691540457466064418335919971384946619, 312862591955628094111206461215168262403, 26584437674248861717651685644016761735, 550922143560281681804020875865081037874975390, 81, 17892896911491160051370824826880000078, 4, 27527506182452690092631959163873179656243175], 'label': '21499084800000000.gn.4._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744545
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [83174360833354084857444929504415124487744834028, 371337694093790643, 349232083219, 1060180990569039221487301582409748239426267624, 493715072987136015, 1596967361126848678992423244555281782675230859, 1046045234933202223520016696452029097004532571, 2248251880514604532568, 14135746418016867332711721514907213407094899, 8691540468758251233359896579788731575, 1073572741387009210269447850834885005199064926, 27527506182453615646613924774751370879114099, 1139040, 186803568890414100632755872241917584410848010261, 23, 371337674932224000, 1496880, 372049049788416000, 621068903014469540822942164563, 550922117247197378660487405814445206795339508, 1502640, 27528097174330442469582111784891191171618487, 493715072987136003, 41346315467246508668626517356739690232821957143, 249713497313280000, 493715073506054412, 1073572759008551825105074331805116985887452174, 78680051656175785949292, 526261673867466915727475378456293208], 'label': '21499084800000000.gn.200._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744546
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [371337674932224000, 1073572759008551825105074331805116985887452174, 2248251880514604532568, 526261673867466915727475378456293208, 493715072987136015, 1502640, 83174360833354084857444929504415124487744834028, 1073572741387009210269447850834885005199064926, 82142450763319758381601076311036239380154579899, 78680051656175785949292, 795503258441882506807578170846038159396869023230, 550922117247197378660487405814445206795339508, 1060180990569039221487301582409748239426267624, 27527506182453615646613924774751370879114099, 1596967361126848678992423244555281782675230859, 349232083219, 1046045234933202223520016696452029097004532571, 371337694093790643, 1496880, 23, 271067186654689685538694657909621420107237904463, 1139040, 27528097174330442469582111784891191171618487, 493715072987136003, 8691540468758251233359896579788731575, 249713497313280000, 14135746418016867332711721514907213407094899, 621068903014469540822942164563, 372049049788416000, 493715073506054412], 'label': '21499084800000000.gn.200._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744547
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [371337674932224000, 186803568890414100632755872241917584410848010261, 1073572759008551825105074331805116985887452174, 2248251880514604532568, 526261673867466915727475378456293208, 493715072987136015, 1502640, 83174360833354084857444929504415124487744834028, 1073572741387009210269447850834885005199064926, 82142450763319758381601076311036239380154579899, 78680051656175785949292, 550922117247197378660487405814445206795339508, 1060180990569039221487301582409748239426267624, 27527506182453615646613924774751370879114099, 1596967361126848678992423244555281782675230859, 349232083219, 1046045234933202223520016696452029097004532571, 371337694093790643, 1496880, 23, 271067186654689685538694657909621420107237904463, 1139040, 27528097174330442469582111784891191171618487, 493715072987136003, 8691540468758251233359896579788731575, 249713497313280000, 14135746418016867332711721514907213407094899, 621068903014469540822942164563, 372049049788416000, 493715073506054412], 'label': '21499084800000000.gn.200._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744548
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [83174360833354084857444929504415124487744834028, 371337694093790643, 349232083219, 1060180990569039221487301582409748239426267624, 493715072987136015, 1596967361126848678992423244555281782675230859, 1046045234933202223520016696452029097004532571, 250683439460261822407211741439133388909189875173, 2248251880514604532568, 14135746418016867332711721514907213407094899, 8691540468758251233359896579788731575, 1073572741387009210269447850834885005199064926, 27527506182453615646613924774751370879114099, 1139040, 23, 371337674932224000, 1496880, 372049049788416000, 621068903014469540822942164563, 550922117247197378660487405814445206795339508, 1502640, 27528097174330442469582111784891191171618487, 493715072987136003, 41346315467246508668626517356739690232821957143, 249713497313280000, 493715073506054412, 1073572759008551825105074331805116985887452174, 78680051656175785949292, 526261673867466915727475378456293208], 'label': '21499084800000000.gn.200._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744549
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [371337674932224000, 1073572759008551825105074331805116985887452174, 2248251880514604532568, 526261673867466915727475378456293208, 493715072987136015, 1502640, 83174360833354084857444929504415124487744834028, 1073572741387009210269447850834885005199064926, 82142450763319758381601076311036239380154579899, 250683439460261822407211741439133388909189875173, 78680051656175785949292, 550922117247197378660487405814445206795339508, 1060180990569039221487301582409748239426267624, 27527506182453615646613924774751370879114099, 1596967361126848678992423244555281782675230859, 349232083219, 146008177607052631679874847291372528760663066319, 1046045234933202223520016696452029097004532571, 371337694093790643, 1496880, 23, 1139040, 27528097174330442469582111784891191171618487, 493715072987136003, 8691540468758251233359896579788731575, 249713497313280000, 14135746418016867332711721514907213407094899, 621068903014469540822942164563, 372049049788416000, 493715073506054412], 'label': '21499084800000000.gn.200._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744550
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [371337674932224000, 186803568890414100632755872241917584410848010261, 1073572759008551825105074331805116985887452174, 2248251880514604532568, 1502640, 493715072987136015, 526261673867466915727475378456293208, 83174360833354084857444929504415124487744834028, 1073572741387009210269447850834885005199064926, 82142450763319758381601076311036239380154579899, 250683439460261822407211741439133388909189875173, 78680051656175785949292, 550922117247197378660487405814445206795339508, 1060180990569039221487301582409748239426267624, 27527506182453615646613924774751370879114099, 1596967361126848678992423244555281782675230859, 349232083219, 1046045234933202223520016696452029097004532571, 371337694093790643, 1496880, 23, 1139040, 27528097174330442469582111784891191171618487, 493715072987136003, 8691540468758251233359896579788731575, 249713497313280000, 14135746418016867332711721514907213407094899, 621068903014469540822942164563, 372049049788416000, 493715073506054412], 'label': '21499084800000000.gn.200._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744551
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [41346315467246491279102005038644805608592112554, 53952034933325168640000, 122000787836928000, 74, 61744196367241383877773484402971928166400000000, 2508769624399620341760000, 1060180981351218469783798427229880320000000000, 13181357629440000, 106378272000, 17637988913211644444021332377600000000, 121680, 1190148998289750014869144794562560000000, 18598592312775672096227328000000, 327069374973677170458624000000, 86, 26, 13412044800, 167437968595509242849910390704283068020470901908, 8863943024101665264500736000000, 363600], 'label': '21499084800000000.gn.200._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744552
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [126132945264822864108614260577726227494851994152, 20412019026447775818356871045094696663740496655, 384853797199872000, 1189622736615882627808810358538240000000, 1914173239405265879040000, 131760, 19160064000, 376610217984000, 295495929876537834377785827655680000000, 776880, 88176211200, 83188495676698819361151248590523124940800000000, 146517063610287475837253184136221752488727792626, 18598592312775672096227328000000, 94, 9767719188486388493844480000000, 550922116975843703070107182711386931200000000, 699179543619843686400000, 25, 35988116825093780496973824000000, 38], 'label': '21499084800000000.gn.200._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744553
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26584473051782413490659956992630386664, 8691540762757700491176386114221081717, 1569439872311031226525452648760968934826579081, 733773198402578280567549104964729868920718707313, 17892896922783320962935345451456313520, 17892896911491160051370824826880080718, 27527506182452690092631959163873179656243175, 17892897216782849003342861998894085838, 26584437674248861717651685644016761735, 616778718076471751424172016247567921851, 26584437674250748914867243126906669402, 8691540457466064418335919964160000055, 8691540457466064418335919971384946619, 4, 27527514873993452850332450717308877994809614, 550922143560281681804020875865081037874975390, 19562827266264964, 936846064197124830880395354731, 526261673867387060334436024320000000, 355895106789758126006398971883481343345042351272, 312862591955628094111206461215168262403, 518918456, 17892896911491160051370824826880000078, 17892897848339707217187835330308290670, 17892896911491160051370824826880010184, 26584437990026074604692939718934717463, 81, 41332550559010890490245576475955893823557315223, 26584437368957224469706744798265062536, 894907994400307319650953211209419008563], 'label': '21499084800000000.gn.4._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744554
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [372896926343073672477968382865723919480403, 27461728753955084526073381043296, 1596967352180400223246923074012483645668915208, 61221174071057562123792365262193722915201116170, 21443928497070073420993059392571592501507544414, 7, 8842165285200828560179200000000, 26841466565422416337742364861376, 12973081687, 1046045252571227440625725024171220073492659296, 925553903285559933665280000000, 36303894039155932272445599373935, 271362517753208357866209581512522807, 36303894039155912709636096000000, 1596967377967231389399225133813873667516707700, 8, 23, 14135746418026013983050072579323846642774419, 27527524075376137758721360109858244103288324, 27461728753955084149456896045376, 17637997755377007252010279446506576656, 14136041659073502862291498944367263983407455, 1060180981622573070925600142055454210358925367, 27461728753955084149456896010096, 925553904460665119744089834804, 271389979481989288961402397352125375, 81619055839663794043849820437243409591592542655, 1189877672075890897371244000444935050176, 90720, 14135755364465323078214139707051013028056983, 14135772476228245248334995983588064415671612, 27461728753955084149457414963776], 'label': '21499084800000000.gn.200._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744555
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [372896926343073672477968382865723919480403, 167437968577879468227598256430006571156751647391, 27461728753955084526073381043296, 1596967352180400223246923074012483645668915208, 7, 8842165285200828560179200000000, 12973081687, 26841466565422416337742364861376, 925553903285559933665280000000, 1046045252571227440625725024171220073492659296, 36303894039155932272445599373935, 271362517753208357866209581512522807, 36303894039155912709636096000000, 1596967377967231389399225133813873667516707700, 8, 23, 14135746418026013983050072579323846642774419, 27527524075376137758721360109858244103288324, 27461728753955084149456896045376, 17637997755377007252010279446506576656, 14136041659073502862291498944367263983407455, 1060180981622573070925600142055454210358925367, 27461728753955084149456896010096, 925553904460665119744089834804, 271389979481989288961402397352125375, 81619055839663794043849820437243409591592542655, 1189877672075890897371244000444935050176, 90720, 14135755364465323078214139707051013028056983, 14135772476228245248334995983588064415671612, 27461728753955084149457414963776], 'label': '21499084800000000.gn.200._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744556
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [167437968577879468227598256430006571156751647391, 27461728753955084526073381043296, 1596967352180400223246923074012483645668915208, 21443928497070073420993059392571592501507544414, 7, 8842165285200828560179200000000, 26841466565422416337742364861376, 12973081687, 1046045252571227440625725024171220073492659296, 925553903285559933665280000000, 36303894039155932272445599373935, 271362517753208357866209581512522807, 36303894039155912709636096000000, 1596967377967231389399225133813873667516707700, 8, 61221546333838533263792382335450137664667104646, 23, 14135746418026013983050072579323846642774419, 27527524075376137758721360109858244103288324, 27461728753955084149456896045376, 17637997755377007252010279446506576656, 14136041659073502862291498944367263983407455, 1060180981622573070925600142055454210358925367, 27461728753955084149456896010096, 925553904460665119744089834804, 271389979481989288961402397352125375, 81619055839663794043849820437243409591592542655, 1189877672075890897371244000444935050176, 90720, 14135755364465323078214139707051013028056983, 14135772476228245248334995983588064415671612, 27461728753955084149457414963776], 'label': '21499084800000000.gn.200._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744557
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [167437968577879468227598256430006571156751647391, 27461728753955084526073381043296, 1596967352180400223246923074012483645668915208, 61221174071057562123792365262193722915201116170, 7, 8842165285200828560179200000000, 12973081687, 26841466565422416337742364861376, 925553903285559933665280000000, 1046045252571227440625725024171220073492659296, 36303894039155932272445599373935, 271362517753208357866209581512522807, 36303894039155912709636096000000, 1596967377967231389399225133813873667516707700, 8, 23, 14135746418026013983050072579323846642774419, 27527524075376137758721360109858244103288324, 27461728753955084149456896045376, 17637997755377007252010279446506576656, 14136041659073502862291498944367263983407455, 1060180981622573070925600142055454210358925367, 27461728753955084149456896010096, 925553904460665119744089834804, 271389979481989288961402397352125375, 81619055839663794043849820437243409591592542655, 1189877672075890897371244000444935050176, 90720, 14135755364465323078214139707051013028056983, 14135772476228245248334995983588064415671612, 27461728753955084149457414963776], 'label': '21499084800000000.gn.200._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '200.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '200._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744558
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [8946448455745580025685412413440000029, 711374856192000, 41040, 79855142614381854720029, 21967322230848385238864061239702226920350972191, 8842165285200828560179200000029, 1457309, 29, 93405312000, 599157138536674346113573139251200000029, 21994850319339397441859328741725710959309761789, 327069374973677170458624000000, 82128314695347600891367450163293244620800000000, 673276435938787000320029, 111, 355938105667, 256094948229120111, 42365204008121479953778053151554168422400000000], 'label': '21499084800000000.gn.240._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744559
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [295767283552125705830770771230720000000, 13516122267648023, 61716669165238206133880790491944843911126985703, 27900403108760070455013996845701153635986423, 61730804607476947433944636422838498099200000000, 93405312000, 79855142614381854720023, 599412046534953861720922631700480000000, 250048261951488023, 1492583, 646300418472124416000023, 23, 1046417523764171986285618703533007014184278341, 9767719188486388493844480000000, 26851952064731656428453888000000, 41063, 355938105623, 42365204008121479953778053151554168422400000000], 'label': '21499084800000000.gn.240._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744560
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [12454041711, 122377398054912029, 1134749, 536786692103719957507369831580443207234691766, 41841809423386282646085044419915890463970145163, 2482968698602907074560029, 9146650338351415815045120000000, 83188495676698819361151248590523124940800000029, 29, 40795764162394886717280563479805794713600000000, 13181357629440067, 1266799911147535564800111, 111, 27461728753955084149456896000029, 806467, 26313083693369353016721801216000000111, 87218208000, 1190148998289750014869144794562560000029], 'label': '21499084800000000.gn.240._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744561
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [361686124829, 27145951539892951936794624000111, 536786692103719957507369831580443207234691781, 78680050944432537600029, 249713497313280029, 19160064111, 771187, 62790241602174586101293498851172076748800000111, 29, 1538031, 19228043907072067, 894907976411491696098708459356160000111, 2509944716069569658880111, 111, 303916116658416027343136804044800000067, 20412018444665504831286584078974217943392479955, 18010593362453081079545856000111, 41346686279370730420350670662517181644800000029], 'label': '21499084800000000.gn.240._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744562
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [28151109136611901440067, 373709, 526261673867387060334436024320000111, 41841809406545917902714911064739479952734513403, 126000, 1198569185071628207834495770951680000029, 631554428124264425324544000067, 111, 193077561711, 518918467, 499761759264768029, 2509944716069569658880111, 35378340135870352775970816000111, 41346686583558209922783294135688388769247988400, 376610217984029, 20398254074524233259857749739351048192000000029, 29, 82128687583056124150184402222610016554959195520, 1569439845726593236497489671748373708800000067], 'label': '21499084800000000.gn.240._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744563
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [26830174325830819724132352000000, 12454041711, 21967322230848385238864061239702226920350972080, 493003698130944111, 1582831605491029680326337651881803776000000111, 41841809406545917902714911064739479952734513403, 25903107681056686080000, 19939418763264111, 90720, 1134720, 17892896911491160051370824826880000111, 2482968698602907074560000, 180623520000, 62253455231616758644487175647490421555200000111, 303916116658416027343136804044800000111, 111, 536786692103719957507369831580443207234691813, 8842165285200828560179200000000], 'label': '21499084800000000.gn.240._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744564
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [126669731930078979871699613511932666290879423428, 21777817580906876811392762176, 1060181893625866107017335756066667656269209632, 19, 12454041604, 27527506182453321647139938590140942416157368, 536786388195816991086897637837843915941675700, 376622672066655, 26976018178043707455368, 271094713874594019020455885069479527546858815362, 526261685159550219900788807104706643, 1046046121166084464630768804796958455389473385, 1582832517765659340035223146871089084112839546, 518918408, 3, 41332550550845646779697879584950945044524118480, 5775, 27527515400254832718272500500416955211879054, 52879125859107099638412, 925553929188674372802779012420, 609776689223441237144954756468, 1569439854418133999255192410926591987935395687, 17637989240281072296830073859214966905, 1175091669950275123216, 40823291972493465223731773749119239487253419678, 912274629332639457744259655600863819534, 61744569558874228928759512310839797314076639459, 27527523549088864562497298420713546280903568, 51132, 7134691030800480], 'label': '21499084800000000.gn.4._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744565
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [53952034933325168640067, 41841809423386282646085044419915890463970145173, 20920904698664044470400288964002971648000000000, 243290200817664029, 1207515633527373787860181183365120000029, 83188495676698819361151248590523124940800000111, 1046417523764171986285618703533007014184278326, 26536174850669524215791616000067, 506519820398592000, 86400, 29, 367949, 281173939311, 35988116825093780496973824000029, 958003229, 599412046534953861720922631700480000029, 2508769624399620341760067, 111], 'label': '21499084800000000.gn.240._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744566
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [536786692103719957507369831580443207234691781, 18293300676702831630090240000000, 912274611649115469089744848158720000111, 915068325296268187140096000067, 45360, 243290200817664067, 88176211229, 2534672732080677027840067, 506519820398592111, 29, 41319158773188277730258038703354019840000000111, 1046417523764171986285618703533007014184278341, 673276435938787000320000, 181062604829, 590465598079208281695237219287040000067, 363629, 550922116975843703070107182711386931200000000, 26058211389209049862295040311911524547, 111], 'label': '21499084800000000.gn.240._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744575
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 8691540762757700491176386114221081717, 17892896911491160051370824827838054423, 1569439872311031226525452648760968934826579081, 271353675587871452985654949896192000, 6423297453619256, 6423296495616000, 26584437380249385381258460660979987339, 17892897216782849003342861998894085838, 61716669469417435630322268614916381877705733785, 26584437674250748914867243126906669402, 26584437368957225644798414741315123281, 418728549753686823350924447768089993866687873270, 295495956706712162456607718737263696722, 6423297453619200, 19939418763264000, 4, 550922143560281681804020875865081037874975390, 936846064197124830880395354731, 19939438442246504, 61730805502384923845436332521546957455360000004, 26584437368957224469726684209803264000, 8691540457466064418598772986935069499, 40795764752860484796490758275392196750340151072, 17892897848339707217187835330308290670, 711374856192000, 17892897837045063336943939868510429280, 17892896911491160051370824846040064004, 14135764310913179532682931244395576088792964, 61716668887108910874703867295854034088233315309, 8691540457466064418349436092694595762, 26841466486742364681928704000000, 894653068413212180491358966906880000003, 26584437368957224469720260919574711703, 312862565114161607368841779266785280003], 'label': '21499084800000000.gn.4._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744576
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [303916116658416027343136804044800000026, 1134835, 536786692103710799564870568619670365762691778, 493003698130944026, 315777214062132212662272000000, 27145951539892951936794624000055, 8852650863190120306704384000073, 16, 25903107681056686080000, 19939418763264026, 21967322230848385238864061239702226920350972153, 41841809406545899913899287512495104728414513369, 12454041711, 17892896911491160051370824826880000026, 62253455231616758644487175647490421555200000016, 90720, 73, 1582831605491029680326337651881803776000000016, 180623520000, 2482968698602907074560071], 'label': '21499084800000000.gn.240._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744577
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [26830174325830819724132352000034, 1134835, 8842165285200828560179200000000, 41841809692824045647919293963854951619934513413, 493003698130944026, 599412046534953861720922631700480000000, 607832233316832054686273608089600000026, 16, 25903107681056686080000, 21967321927187176578727549503914915324830972153, 19939418763264026, 903328163193369889064059435745280000000, 12454041711, 62253455231616758644487175647490421555200000016, 90720, 536786379241154843345762462758226748994691803, 73, 1582831605491029680326337651881803776000000016, 180623520000, 2482968698602907074560071], 'label': '21499084800000000.gn.240._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '240.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '240._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744578
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [82142450468078701136294137405138165199746073543, 958003200, 96, 20425781893314343980900798756268302678800147303, 62267590978034774890751013578555463229144627200, 62267591577718175123072318898627224069658415920, 40809899917759351430582709968487920667207850144, 5760, 1175091669949836048480, 1181202549855783441617117019793701743313, 121680, 41841809397328089246092240976864252706409303063, 21966949933597247325474757439575603228554127530, 40809899908812903279323501597328006800372627824, 62267590978034774912528777207408178657091715760, 23, 20425781580706685949950381698514209996800000000, 753648057857880713510066586900655857700190673997, 78680050944432537600000, 62790241628487687499965846121333897042896721286, 40809899908812903279322183093370911766950113184, 631554507979426602522169027290, 62267590978034775522305387750784578636504154810, 41841809397599443531458067278109534563298262966, 83174359930280803735956392353607230829718359104, 753648057275835327822959846250064660993407668304, 83174359930280803114887464611493393203200000000], 'label': '21499084800000000.gn.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: 167744579
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [20934669337716798793381521008495362872391590336, 958003200, 20425781580706685949950381698514209996800000000, 1181202549855783441617117019793701743313, 21966949933597247325474757439575603228554127530, 40809899917759351430582709968487920667207850144, 61193646547508455902777146027635705042925781229, 82142450468078701136294137405138165199746073543, 20425781893314343980900798756268302678800147303, 631554507979426602522169027290, 62790241628487687499965846121333897042896721286, 41841809397599443531458067278109534563298262966, 40809899908812903279323501597328006800372627824, 40809899908812903279322183093370911766950113184, 83174359930280803114887464611493393203200000000, 5760, 1175091669949836048480, 23, 83174359930280803735956392353607230829718359104, 62267591577718175123072318898627224069658415920, 78680050944432537600000, 21458063948518440084956497186447841767855861786, 41841809397328089246092240976864252706409303063, 62267590978034774890751013578555463229144627200, 62267590978034775522305387750784578636504154810, 62267590978034774912528777207408178657091715760, 96, 121680], 'label': '21499084800000000.gn.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: 167744580
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [82142450468078701136294137405138165199746073543, 958003200, 96, 20425781893314343980900798756268302678800147303, 62267590978034774890751013578555463229144627200, 62267591577718175123072318898627224069658415920, 40809899917759351430582709968487920667207850144, 5760, 1175091669949836048480, 1181202549855783441617117019793701743313, 121680, 41841809397328089246092240976864252706409303063, 21966949933597247325474757439575603228554127530, 40809899908812903279323501597328006800372627824, 20934669337716798793381521008495362872391590336, 62267590978034774912528777207408178657091715760, 23, 20425781580706685949950381698514209996800000000, 753648057857880713510066586900655857700190673997, 78680050944432537600000, 62790241628487687499965846121333897042896721286, 40809899908812903279322183093370911766950113184, 631554507979426602522169027290, 62267590978034775522305387750784578636504154810, 41841809397599443531458067278109534563298262966, 83174359930280803735956392353607230829718359104, 83174359930280803114887464611493393203200000000], 'label': '21499084800000000.gn.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: 167744581
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [82142450468078701136294137405138165199746073543, 958003200, 96, 20425781893314343980900798756268302678800147303, 62267590978034774890751013578555463229144627200, 62267591577718175123072318898627224069658415920, 40809899917759351430582709968487920667207850144, 5760, 1175091669949836048480, 1181202549855783441617117019793701743313, 61193646547508455902777146027635705042925781229, 121680, 41841809397328089246092240976864252706409303063, 21966949933597247325474757439575603228554127530, 40809899908812903279323501597328006800372627824, 62267590978034774912528777207408178657091715760, 23, 20425781580706685949950381698514209996800000000, 78680050944432537600000, 62790241628487687499965846121333897042896721286, 21458063948518440084956497186447841767855861786, 40809899908812903279322183093370911766950113184, 631554507979426602522169027290, 62267590978034775522305387750784578636504154810, 41841809397599443531458067278109534563298262966, 83174359930280803735956392353607230829718359104, 753648057275835327822959846250064660993407668304, 83174359930280803114887464611493393203200000000], 'label': '21499084800000000.gn.288._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744582
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [82142450468078701136294137405138165199746073543, 958003200, 96, 795517394188555440503664681087000403235451020140, 20425781893314343980900798756268302678800147303, 62267590978034774890751013578555463229144627200, 62267591577718175123072318898627224069658415920, 40809899917759351430582709968487920667207850144, 5760, 1175091669949836048480, 1181202549855783441617117019793701743313, 121680, 41841809397328089246092240976864252706409303063, 21966949933597247325474757439575603228554127530, 40809899908812903279323501597328006800372627824, 62267590978034774912528777207408178657091715760, 23, 20425781580706685949950381698514209996800000000, 753648057857880713510066586900655857700190673997, 78680050944432537600000, 62790241628487687499965846121333897042896721286, 40809899908812903279322183093370911766950113184, 631554507979426602522169027290, 62267590978034775522305387750784578636504154810, 83174359930280803735956392353607230829718359104, 41841809397599443531458067278109534563298262966, 83174359930280803114887464611493393203200000000], 'label': '21499084800000000.gn.288._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744583
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [82142450468078701136294137405138165199746073543, 958003200, 96, 795517394188555440503664681087000403235451020140, 20425781893314343980900798756268302678800147303, 62267590978034774890751013578555463229144627200, 62267591577718175123072318898627224069658415920, 40809899917759351430582709968487920667207850144, 5760, 1175091669949836048480, 1181202549855783441617117019793701743313, 121680, 41841809397328089246092240976864252706409303063, 21966949933597247325474757439575603228554127530, 40809899908812903279323501597328006800372627824, 62267590978034774912528777207408178657091715760, 23, 20425781580706685949950381698514209996800000000, 78680050944432537600000, 62790241628487687499965846121333897042896721286, 21458063948518440084956497186447841767855861786, 40809899908812903279322183093370911766950113184, 312862574870997699591490435750660595869, 631554507979426602522169027290, 62267590978034775522305387750784578636504154810, 41841809397599443531458067278109534563298262966, 83174359930280803735956392353607230829718359104, 83174359930280803114887464611493393203200000000], 'label': '21499084800000000.gn.288._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744596
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [958003200, 550922134613841458447114435086580843801934772, 26976018178057119948772, 9778204766475680240389342992562, 83188123987822658093004038833067370241229893742, 82637573855482037286229974722590515988440878692, 26, 18598592339751696697574237139120, 18598592390382833194485703715760, 631554428124277606694627532832, 27527515400255452980565514145681558277334887, 41332922847825413355750605163819260245085501332, 9778204766475680240389343068882, 26313110839320921060790009293878054467, 35694117349932484988652766982482, 550922143288936238604772376292396614377151362, 35694117349932484988646500044882, 14135764310931462348456096811273008747124679, 1175091669962729164800, 631554428124264425324544000000, 526288819818928128397982200436560627, 536787551489024246779253620182078944372918992, 112, 35976824664182235539177472000000, 81591529219697750477609138379819929027503506026, 27527506182479836044200003237416588633948893, 35694117349932485365256718119613], 'label': '21499084800000000.gn.288._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744584
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [82142450468078701136294137405138165199746073543, 958003200, 96, 795517394188555440503664681087000403235451020140, 20425781893314343980900798756268302678800147303, 62267590978034774890751013578555463229144627200, 62267591577718175123072318898627224069658415920, 40809899917759351430582709968487920667207850144, 5760, 1175091669949836048480, 1181202549855783441617117019793701743313, 121680, 41841809397328089246092240976864252706409303063, 21966949933597247325474757439575603228554127530, 40809899908812903279323501597328006800372627824, 62267590978034774912528777207408178657091715760, 23, 20425781580706685949950381698514209996800000000, 78680050944432537600000, 62790241628487687499965846121333897042896721286, 21458063948518440084956497186447841767855861786, 40809899908812903279322183093370911766950113184, 631554507979426602522169027290, 62267590978034775522305387750784578636504154810, 41841809397599443531458067278109534563298262966, 83174359930280803735956392353607230829718359104, 753648057275835327822959846250064660993407668304, 83174359930280803114887464611493393203200000000], 'label': '21499084800000000.gn.288._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744585
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41332551418914242750901931622881512977320631859, 17366635237623772991036388802560000000, 1209600, 82651709306140991904344925386841469747200000000, 36303894039155912709636096000000, 733786590162342752400603175735572971157544117177, 364956224016384000, 60, 28151109136611901440000, 9146650338351415815045120000000, 2561648749547339612160000, 99, 249713497313280000, 912274611649115469089744848158720000000, 21994478620974044977962628397064349935534746274, 21457691069221871927206612167684626841600000000, 274467916800, 766800, 518918400], 'label': '21499084800000000.gn.288._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744586
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 8691540762757700491176386114221081717, 17892896911491160051370824827838054423, 1569439872311031226525452648760968934826579081, 271353675587871452985654949896192000, 6423297453619256, 6423296495616000, 26584437380249385381258460660979987339, 17892897216782849003342861998894085838, 61716669469417435630322268614916381877705733785, 26584437674250748914867243126906669402, 26584437368957225644798414741315123281, 295495956706712162456607718737263696722, 6423297453619200, 19939418763264000, 4, 550922143560281681804020875865081037874975390, 936846064197124830880395354731, 19939438442246504, 61730805502384923845436332521546957455360000004, 26584437368957224469726684209803264000, 41332550550845646779697879584950945044524118480, 8691540457466064418598772986935069499, 815915276269761123785995336726248312601281267757, 40795764752860484796490758275392196750340151072, 17892897848339707217187835330308290670, 711374856192000, 17892897837045063336943939868510429280, 17892896911491160051370824846040064004, 14135764310913179532682931244395576088792964, 335469697497339666164541932951579433285830998382, 8691540457466064418349436092694595762, 26841466486742364681928704000000, 894653068413212180491358966906880000003, 26584437368957224469720260919574711703, 312862565114161607368841779266785280003], 'label': '21499084800000000.gn.4._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744587
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [773550072270314721832226495657254384996250305895, 41841809397328088940800577928005943296000000000, 17366635237623772991036388802560000000, 493715072987136000, 41040, 243290200817664000, 67, 12, 915068325296268187140096000000, 35694117349932484988633088000000, 79855142614381854720000, 193077561600, 894907976411491696098708459356160000000, 268280812800, 27527506182452690092631959163161804800000000, 753125035535646911133022427616718449088088257178, 1180080, 2481793606932957757440000], 'label': '21499084800000000.gn.288._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744588
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [21777817581259697810569208420, 7225792571, 292539013782929016842037356355730621712596814068, 61221545760739579591036574823423067514024064116, 17892897837045115041226754526518460000, 21457691668905290148343569140134932017950304751, 550922125922292768592429310949668079892530008, 26058175716867578558710565167375187771, 1175091669968478035775, 77607141159014408838960, 550922117247197694435218600936224231905564100, 1461600, 295767310687591721686465895181267597401, 8691540773243306631577269257054419220, 806400, 122000787836928000, 384519032561664000, 958457523, 732754308697867376076519511163976998037519498850, 271353686880033540121667844612947779, 17366635237624421539456316495604574800, 303916116658416053246507003702148921611, 27527523820441603304354010588171253765557608, 53952034933331437039216, 4, 454335, 27527506182452701384795119081624207114630980], 'label': '21499084800000000.gn.288._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744589
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [21777817581259697810569208420, 7225792571, 61221545760739579591036574823423067514024064116, 17892897837045115041226754526518460000, 775105376074398712887259116624995868779761786753, 550922125922292768592429310949668079892530008, 26058175716867578558710565167375187771, 1175091669968478035775, 77607141159014408838960, 550922117247197694435218600936224231905564100, 186817705244672572718722251640626905017667743916, 1461600, 295767310687591721686465895181267597401, 40796137067733166283734661943038413585527622390, 8691540773243306631577269257054419220, 806400, 122000787836928000, 384519032561664000, 958457523, 271353686880033540121667844612947779, 17366635237624421539456316495604574800, 303916116658416053246507003702148921611, 27527523820441603304354010588171253765557608, 53952034933331437039216, 4, 454335, 27527506182452701384795119081624207114630980], 'label': '21499084800000000.gn.288._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744590
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [21777817581259697810569208420, 7225792571, 292539013782929016842037356355730621712596814068, 61221545760739579591036574823423067514024064116, 17892897837045115041226754526518460000, 550922125922292768592429310949668079892530008, 271590581578616977669189113285902009310344904925, 26058175716867578558710565167375187771, 1175091669968478035775, 77607141159014408838960, 550922117247197694435218600936224231905564100, 1461600, 295767310687591721686465895181267597401, 8691540773243306631577269257054419220, 806400, 122000787836928000, 384519032561664000, 958457523, 271353686880033540121667844612947779, 17366635237624421539456316495604574800, 303916116658416053246507003702148921611, 27527523820441603304354010588171253765557608, 53952034933331437039216, 4, 454335, 27527506182452701384795119081624207114630980], 'label': '21499084800000000.gn.288._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744591
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [21777817581259697810569208420, 7225792571, 292539013782929016842037356355730621712596814068, 61221545760739579591036574823423067514024064116, 17892897837045115041226754526518460000, 21457691668905290148343569140134932017950304751, 550922125922292768592429310949668079892530008, 26058175716867578558710565167375187771, 1175091669968478035775, 77607141159014408838960, 550922117247197694435218600936224231905564100, 1461600, 295767310687591721686465895181267597401, 8691540773243306631577269257054419220, 806400, 167465867504552886741351857150851151056344056369, 122000787836928000, 384519032561664000, 958457523, 271353686880033540121667844612947779, 17366635237624421539456316495604574800, 303916116658416053246507003702148921611, 27527523820441603304354010588171253765557608, 53952034933331437039216, 4, 454335, 27527506182452701384795119081624207114630980], 'label': '21499084800000000.gn.288._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744592
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [21777817581259697810569208420, 7225792571, 61221545760739579591036574823423067514024064116, 17892897837045115041226754526518460000, 550922125922292768592429310949668079892530008, 26058175716867578558710565167375187771, 1175091669968478035775, 77607141159014408838960, 550922117247197694435218600936224231905564100, 186817705244672572718722251640626905017667743916, 1461600, 295767310687591721686465895181267597401, 40796137067733166283734661943038413585527622390, 8691540773243306631577269257054419220, 806400, 167465867504552886741351857150851151056344056369, 122000787836928000, 384519032561664000, 958457523, 271353686880033540121667844612947779, 17366635237624421539456316495604574800, 303916116658416053246507003702148921611, 27527523820441603304354010588171253765557608, 53952034933331437039216, 4, 454335, 27527506182452701384795119081624207114630980], 'label': '21499084800000000.gn.288._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744593
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [21777817581259697810569208420, 7225792571, 61221545760739579591036574823423067514024064116, 17892897837045115041226754526518460000, 550922125922292768592429310949668079892530008, 26058175716867578558710565167375187771, 1175091669968478035775, 77607141159014408838960, 550922117247197694435218600936224231905564100, 1461600, 295767310687591721686465895181267597401, 40796137067733166283734661943038413585527622390, 8691540773243306631577269257054419220, 806400, 167465867504552886741351857150851151056344056369, 122000787836928000, 384519032561664000, 958457523, 732754308697867376076519511163976998037519498850, 271353686880033540121667844612947779, 17366635237624421539456316495604574800, 303916116658416053246507003702148921611, 27527523820441603304354010588171253765557608, 53952034933331437039216, 4, 454335, 27527506182452701384795119081624207114630980], 'label': '21499084800000000.gn.288._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744594
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [41, 18293300676702831630090240000000, 7224940800, 17366635237623772991036388802560000000, 45360, 82142450441765617137631234142322976358400000000, 2507696714614014443520000, 262518244724736000, 1569439845726593236497489671748373708800000000, 621572402461017047040000, 9473719713325092985503744000000, 12804747411456000, 167437968577616355095554448938442182832217310791, 295241021878258318770436335206400000000, 21471827710284752041338083747539701054902269963, 23, 126669731356980034703153541324831138538673162860, 368392147200, 363600], 'label': '21499084800000000.gn.288._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744597
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [126669731930078979871699613511932666290879423428, 21777817580906876811392762176, 1060181893625866107017335756066667656269209632, 19, 12454041604, 27527506182453321647139938590140942416157368, 536786388195816991086897637837843915941675700, 376622672066655, 26976018178043707455368, 271094713874594019020455885069479527546858815362, 526261685159550219900788807104706643, 1046046121166084464630768804796958455389473385, 1582832517765659340035223146871089084112839546, 518918408, 3, 41332550550845646779697879584950945044524118480, 82128687870131858392191863116071605742733264099, 5775, 27527515400254832718272500500416955211879054, 52879125859107099638412, 925553929188674372802779012420, 609776689223441237144954756468, 1569439854418133999255192410926591987935395687, 17637989240281072296830073859214966905, 1175091669950275123216, 40823291972493465223731773749119239487253419678, 912274629332639457744259655600863819534, 27527523549088864562497298420713546280903568, 51132, 7134691030800480], 'label': '21499084800000000.gn.4._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744598
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [958003200, 550922134613841458447114435086580843801934772, 26976018178057119948772, 126656339892974650435527697985607727554503114831, 9778204766475680240389342992562, 26, 18598592339751696697574237139120, 18598592390382833194485703715760, 631554428124277606694627532832, 27527515400255452980565514145681558277334887, 9778204766475680240389343068882, 26313110839320921060790009293878054467, 35694117349932484988652766982482, 550922143288936238604772376292396614377151362, 35694117349932484988646500044882, 14135764310931462348456096811273008747124679, 1175091669962729164800, 631554428124264425324544000000, 526288819818928128397982200436560627, 536787551489024246779253620182078944372918992, 112, 35976824664182235539177472000000, 81591529219697750477609138379819929027503506026, 27527506182479836044200003237416588633948893, 35694117349932485365256718119613, 126669731356980017313629029006722737792177162831], 'label': '21499084800000000.gn.288._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744599
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [958003200, 550922134613841458447114435086580843801934772, 26976018178057119948772, 126656339892974650435527697985607727554503114831, 9778204766475680240389342992562, 83188123987822658093004038833067370241229893742, 26, 18598592339751696697574237139120, 18598592390382833194485703715760, 631554428124277606694627532832, 27527515400255452980565514145681558277334887, 9778204766475680240389343068882, 26313110839320921060790009293878054467, 35694117349932484988652766982482, 550922143288936238604772376292396614377151362, 35694117349932484988646500044882, 14135764310931462348456096811273008747124679, 1175091669962729164800, 187835850658805575005766531053062084438838160452, 631554428124264425324544000000, 526288819818928128397982200436560627, 536787551489024246779253620182078944372918992, 112, 35976824664182235539177472000000, 81591529219697750477609138379819929027503506026, 27527506182479836044200003237416588633948893, 35694117349932485365256718119613], 'label': '21499084800000000.gn.288._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744600
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [958003200, 550922134613841458447114435086580843801934772, 26976018178057119948772, 126656339892974650435527697985607727554503114831, 9778204766475680240389342992562, 83188123987822658093004038833067370241229893742, 26, 18598592339751696697574237139120, 18598592390382833194485703715760, 631554428124277606694627532832, 27527515400255452980565514145681558277334887, 41332922847825413355750605163819260245085501332, 9778204766475680240389343068882, 26313110839320921060790009293878054467, 35694117349932484988652766982482, 550922143288936238604772376292396614377151362, 35694117349932484988646500044882, 14135764310931462348456096811273008747124679, 1175091669962729164800, 631554428124264425324544000000, 526288819818928128397982200436560627, 536787551489024246779253620182078944372918992, 112, 35976824664182235539177472000000, 81591529219697750477609138379819929027503506026, 27527506182479836044200003237416588633948893, 35694117349932485365256718119613], 'label': '21499084800000000.gn.288._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744601
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [526262599421290345894746312792527280, 550922117502105704006869216722993433304190059, 27527506453806975457244339974260376818389763, 915068327544269642708284693784, 609776690398519767575517560880, 10084, 26058175695090485958035526666329214059, 86404, 107, 1089464, 1175092046578695299841, 81619056421437859876201729253173462901055381895, 55, 886232881631336547999665868095384582481, 21777738900836704340696431976, 20425410186528820599809745361783748085832013622, 1569439863093264472723666920949387509418022503, 27527506453806670972218165052320709850147815, 1073572741115655545167074531640540478316367499, 376610218352027, 523394610793391012977502199585631214455189683, 1060180981351219079560488825768834093324482747, 19160512641, 6423297014615118, 271353675587924332481805854448214398, 26058176022159238286177099701312272539, 78, 27527506182453615646537492724551038268683656], 'label': '21499084800000000.gn.320._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744602
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [550922116975844324139010196828441500962534483, 26313084618924577054714772761092509336, 2248014971684189040483, 26058175695089864385389775429304371224, 925553904460671166429409469467, 27527506708714669251680995464973066801152107, 55, 526262283644154963819859521957478427, 10084, 52879125147732243370083, 21777816507997802579911710104, 51704039901066448901863, 958003307, 21981085680541524635829239256004677087395177598, 61744196384608028283827895171515820386050120376, 526271430294467514323059217706645840, 17366636163178943076507470109264204802, 19228056361113707, 53952034933325168726459, 536786370829216826511546837409849280547590507, 61744196984020066271420668429825343323540866483, 78, 107, 1582831605491039448045604818462470897216054987, 52879138329096578822403, 12972960000, 376610217984055], 'label': '21499084800000000.gn.320._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744603
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [526262599421290345894746312792527280, 550922117502105704006869216722993433304190059, 27527506453806975457244339974260376818389763, 915068327544269642708284693784, 609776690398519767575517560880, 10084, 26058175695090485958035526666329214059, 86404, 107, 1089464, 40809528523581477836758238054092271684570226001, 1175092046578695299841, 81619056421437859876201729253173462901055381895, 55, 886232881631336547999665868095384582481, 21777738900836704340696431976, 1569439863093264472723666920949387509418022503, 27527506453806670972218165052320709850147815, 1073572741115655545167074531640540478316367499, 376610218352027, 523394610793391012977502199585631214455189683, 1060180981351219079560488825768834093324482747, 19160512641, 6423297014615118, 271353675587924332481805854448214398, 26058176022159238286177099701312272539, 78, 27527506182453615646537492724551038268683656], 'label': '21499084800000000.gn.320._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744604
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [82114552141088726737005133717914698613347452109, 1190148998289750014869144794562560000004, 19678982404, 489604, 371337674932224004, 27461728753955084149456896000004, 6423296495616004, 174356582403, 25903107681056686080003, 885961527955746116073023046942720000004, 1887197221938603294720000, 1596967351909045926590121630911535513600000004, 3, 20425410186528820599809745361783748085832013544, 18010593362453081079545856000000, 766800, 82128314695347600891367450163293244620800000003], 'label': '21499084800000000.gn.320._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744605
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [771120, 621068850134972678799360000000, 1583284, 1914173239405265879040004, 52879125147719270400003, 8852650863190120306704384000000, 19160064004, 312862565114161607368822216458240000000, 599157138536674346113573139251200000004, 371337674932224000, 274467916803, 13516122267648003, 61744196384608028283827895171515820386050120324, 83188496267172667414486197772322125372959778565, 523394610793391012977475223548225126400000004, 3, 21980713999296130166150662966874302788470504882, 82114922935583164447538602183159814553600000004], 'label': '21499084800000000.gn.320._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744606
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [771120, 621068850134972678799360000000, 1583284, 1914173239405265879040004, 52879125147719270400003, 8852650863190120306704384000000, 19160064004, 312862565114161607368822216458240000000, 599157138536674346113573139251200000004, 83188496267172667414486197772322125372959778588, 371337674932224000, 274467916803, 13516122267648003, 61744196384608028283827895171515820386050120324, 523394610793391012977475223548225126400000004, 3, 21980713999296130166150662966874302788470504882, 82114922935583164447538602183159814553600000004], 'label': '21499084800000000.gn.320._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744607
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [771120, 621068850134972678799360000000, 1583284, 1914173239405265879040004, 52879125147719270400003, 8852650863190120306704384000000, 19160064004, 21980713999296130166150662966874302788470504904, 312862565114161607368822216458240000000, 599157138536674346113573139251200000004, 83188496267172667414486197772322125372959778588, 371337674932224000, 274467916803, 13516122267648003, 61744196384608028283827895171515820386050120324, 523394610793391012977475223548225126400000004, 3, 82114922935583164447538602183159814553600000004], 'label': '21499084800000000.gn.320._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744620
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [26851952064731656428453888000000, 771120, 52879125147719270400003, 250424872169472000, 6423296495616004, 21980713999296130166150662966874302788470504904, 21457692268046001300610828339655263768769500104, 21981085680015262940184087391232851968000000000, 621572402461017047040000, 274467916803, 17683523987479403909087232000004, 295495929876537834377785827655680000000, 958003203, 1189877644614162143416159850987520000000, 62253455231616758644487175647490421555200000000, 3, 363600], 'label': '21499084800000000.gn.320._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744608
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 8691540762757700491176386114221081717, 17892896911491160051370824827838054423, 1569439872311031226525452648760968934826579081, 6423309468581816, 26584437380249385381258460660979987339, 17892897216782849003342861998894085838, 26584437674250748914867243126906669402, 26841466486742365393303560192000, 480445590322049307009770781877923328798566317549, 550922143560281681804020875865081037874975390, 526288515333873802706252643096873707, 936846064197124830880395354731, 81591529514412528659522291834291554631832490184, 82128314695347600891367450163293955995656192000, 8691540457466064418598772986935069499, 1207244315545903267515259478793280633758, 19939418763264104, 9217837814158641674721284831413162184, 17892897848339707217187835330308290670, 711374856192000, 17892897837045063336943939868510429280, 2248021394993138814104, 19939418763264003, 6758061133824000, 90775, 14135764310913179532682931244395576088792964, 82114551828226134487377487962541930107598634910, 6423296495626162, 271389358413061649017355748922323120, 6423315655806004, 519009201], 'label': '21499084800000000.gn.4._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744609
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [14135764310913157754996909539220425697075785, 3, 523022617992881405601301484314380576047288426, 26313083693369432871877596962709191546, 52879144375782856580425, 131760, 21777738900849885697886550986, 376610218029360, 5789, 536786370557836625234400455954113979020796163, 42365205215365795172613805913874307883065496403, 1060181007935655850033209711608826791344425604, 25, 77607160386883519523789, 1073572758753643838116529370070759581308773200, 526261695645127136263521676296255364, 958134985, 61744196384608028283827895171515820386050120320, 12804767090444164, 21780274646479282260492584880, 19160064004, 12454092720, 61221545743101599802696907081987329651192624506, 17892897837045762516475089903780527306, 1569439863619525526328839545763714174430149760, 1175092381331398384560, 550922116975843714362296245378997461721581949], 'label': '21499084800000000.gn.320._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744610
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [14135764310913157754996909539220425697075785, 20425410186528820599809745361783748085832013521, 3, 26313083693369432871877596962709191546, 52879144375782856580425, 131760, 21777738900849885697886550986, 376610218029360, 536786370557836625234400455954113979020796163, 5789, 42365205215365795172613805913874307883065496403, 1060181007935655850033209711608826791344425604, 25, 77607160386883519523789, 1073572758753643838116529370070759581308773200, 526261695645127136263521676296255364, 958134985, 61744196384608028283827895171515820386050120320, 12804767090444164, 21780274646479282260492584880, 19160064004, 12454092720, 17892897837045762516475089903780527306, 61221545743101599802696907081987329651192624506, 1569439863619525526328839545763714174430149760, 1175092381331398384560, 550922116975843714362296245378997461721581949], 'label': '21499084800000000.gn.320._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744611
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [41319158773188277730258038703354019840000000004, 295767283552125705830770771230720000004, 3, 8842165285200828560179200000000, 373684, 13412044804, 13181357629440003, 83188496267172667414486197772322125372959778588, 620499492675411148800000, 18010593362453081079545856000000, 20425410186528820599809745361783748085832013544, 1189877644614162143416159850987520000000, 61744196384608028283827895171515820386050120320, 499761759264768003, 81605664071207789680824910938641321164800000003, 26976017466662584320000, 174356582403, 86403], 'label': '21499084800000000.gn.320._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744612
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [13181357629440003, 41319158773188277730258038703354019840000000004, 373684, 174356582403, 620499492675411148800000, 26976017466662584320000, 499761759264768003, 86403, 295767283552125705830770771230720000004, 13412044804, 83188496267172667414486197772322125372959778562, 1189877644614162143416159850987520000000, 61744196384608028283827895171515820386050120320, 3, 20425410186528820599809745361783748085832013544, 18010593362453081079545856000000, 8842165285200828560179200000000, 81605664071207789680824910938641321164800000003], 'label': '21499084800000000.gn.320._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744613
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [41319158773188277730258038703354019840000000004, 295767283552125705830770771230720000004, 20425410186528820599809745361783748085832013521, 3, 8842165285200828560179200000000, 373684, 13412044804, 13181357629440003, 620499492675411148800000, 83188496267172667414486197772322125372959778562, 18010593362453081079545856000000, 1189877644614162143416159850987520000000, 61744196384608028283827895171515820386050120320, 499761759264768003, 81605664071207789680824910938641321164800000003, 26976017466662584320000, 174356582403, 86403], 'label': '21499084800000000.gn.320._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744614
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [41319158773188277730258038703354019840000000004, 295767283552125705830770771230720000004, 20425410186528820599809745361783748085832013521, 3, 8842165285200828560179200000000, 373684, 13412044804, 13181357629440003, 83188496267172667414486197772322125372959778588, 620499492675411148800000, 18010593362453081079545856000000, 1189877644614162143416159850987520000000, 61744196384608028283827895171515820386050120320, 499761759264768003, 81605664071207789680824910938641321164800000003, 26976017466662584320000, 174356582403, 86403], 'label': '21499084800000000.gn.320._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744615
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [609776769078583516743450284880, 11292189062673657224023747204, 21457692268046001300610828339655263768769500104, 3, 518963760, 1582831631804113700765144322350947939522839600, 26, 526261695645177665204994732294207364, 5789, 86429, 13181363896458240, 1175104851307465600106, 1060180981877480448942899167552364710921731869, 936846090100213283912334462029, 19160190004, 14135755109557019507114163544523492133764429, 42378596957508662465434062765880802359451384429, 536786379775630524985891758601990043320495440, 27527827465204607910249874723765346561784963, 27527819045044351721302613331696532109436720, 61744196384608028283827895171515820386050120324, 621068903014097826519588448585, 26313083998661041968700596442441968025, 523394610793391634046378237665614454094598425, 1569439872039677866714770529873375207050116400, 1046045244151004354855355372229080887311266483, 52879125147725976513120, 6266937603], 'label': '21499084800000000.gn.320._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744616
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [26851952064731656428453888000000, 771120, 52879125147719270400003, 250424872169472000, 6423296495616004, 21980713999296130166150662966874302788470504904, 21981085680015262940184087391232851968000000000, 621572402461017047040000, 21457692268046001300610828339655263768769500082, 274467916803, 17683523987479403909087232000004, 295495929876537834377785827655680000000, 958003203, 1189877644614162143416159850987520000000, 62253455231616758644487175647490421555200000000, 3, 363600], 'label': '21499084800000000.gn.320._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744617
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [26851952064731656428453888000000, 771120, 52879125147719270400003, 250424872169472000, 6423296495616004, 21981085680015262940184087391232851968000000000, 621572402461017047040000, 21457692268046001300610828339655263768769500082, 274467916803, 17683523987479403909087232000004, 295495929876537834377785827655680000000, 958003203, 1189877644614162143416159850987520000000, 62253455231616758644487175647490421555200000000, 3, 21980713999296130166150662966874302788470504882, 363600], 'label': '21499084800000000.gn.320._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744618
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [26851952064731656428453888000000, 771120, 52879125147719270400003, 250424872169472000, 6423296495616004, 21457692268046001300610828339655263768769500104, 21981085680015262940184087391232851968000000000, 621572402461017047040000, 274467916803, 17683523987479403909087232000004, 295495929876537834377785827655680000000, 958003203, 1189877644614162143416159850987520000000, 62253455231616758644487175647490421555200000000, 3, 21980713999296130166150662966874302788470504882, 363600], 'label': '21499084800000000.gn.320._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744619
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 8691540762757700491176386114221081717, 17892896911491160051370824827838054423, 1569439872311031226525452648760968934826579081, 6423309468581816, 26584437380249385381258460660979987339, 17892897216782849003342861998894085838, 26584437674250748914867243126906669402, 605518354578673109964896892688032822604292650903, 147067614610959841429300436472789629856268938959, 26841466486742365393303560192000, 550922143560281681804020875865081037874975390, 526288515333873802706252643096873707, 936846064197124830880395354731, 81591529514412528659522291834291554631832490184, 82128314695347600891367450163293955995656192000, 8691540457466064418598772986935069499, 1207244315545903267515259478793280633758, 19939418763264104, 9217837814158641674721284831413162184, 17892897848339707217187835330308290670, 711374856192000, 17892897837045063336943939868510429280, 2248021394993138814104, 19939418763264003, 6758061133824000, 90775, 14135764310913179532682931244395576088792964, 6423296495626162, 61744197574757035088671287842940150467028626448, 271389358413061649017355748922323120, 6423315655806004, 519009201], 'label': '21499084800000000.gn.4._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744622
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [26313083704661542079382318933203591545, 327071316123075271306490110083, 3, 26058202525264243095718789716682444804, 27527506453824670275279927799337964322693229, 536786370829208594125482109878450729738371785, 21777740075928374271372089546, 27527506453824376273867040327278172466825626, 26, 5789, 62240064062317956267984701256421037530007717786, 17892923741665512858227955060258566426, 26313083715147093092650175493120189363, 1175091669956023274163, 26584437368957304324868587229255914240, 19160074106, 13412090186, 77607141870201495603149, 61744196384608028283827895171515820386050120349, 17892914922084601184995852597330312346, 27527514874011158153301975391841416310841603, 1073573062669778778542287498452539761789689604, 711388268246884, 518918429, 526261685159574947897571865337543546, 1060181007935674132043018103713591900814377066, 21980713999296130166150662966874302788470504904], 'label': '21499084800000000.gn.320._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744623
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1190148998289750014869144794562560000004, 19678982404, 489604, 371337674932224004, 27461728753955084149456896000004, 6423296495616004, 174356582403, 82114552141088726737005133717914698613347452083, 25903107681056686080003, 885961527955746116073023046942720000004, 1887197221938603294720000, 1596967351909045926590121630911535513600000004, 3, 20425410186528820599809745361783748085832013544, 18010593362453081079545856000000, 766800, 82128314695347600891367450163293244620800000003], 'label': '21499084800000000.gn.320._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744624
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1190148998289750014869144794562560000004, 19678982404, 489604, 371337674932224004, 27461728753955084149456896000004, 6423296495616004, 174356582403, 82114552141088726737005133717914698613347452083, 25903107681056686080003, 885961527955746116073023046942720000004, 1887197221938603294720000, 1596967351909045926590121630911535513600000004, 3, 18010593362453081079545856000000, 20425410186528820599809745361783748085832013521, 766800, 82128314695347600891367450163293244620800000003], 'label': '21499084800000000.gn.320._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744625
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [41346686288580318554803591329342855998838967705, 27527523820441603305544276025366755599385683, 14135764056005769254626416116366271054741844, 26313083704664021624988131095154294883, 25, 8691540468760112527115997728142263065, 77607391583698808832025, 61744196384608028283827895171515820386050120349, 518918429, 915069593169095878349917891226, 21457691069221890231799449782311263183660134429, 2508769624776243013836749, 41332550532952715110933028487983925155298175945, 14135764056005159477936119772101526769439923, 376623630034586, 20398254395807003166490939502866077536795001625, 2248001455574894464105, 19228050613180800, 26313083704663401125617456471323620404, 3, 11294670856261738760546176105, 10109, 1046045234933202234814684129619219515568319364, 80640, 536786370557827762099201348666971350560566985, 550922134613833226060948546894993757468947283, 18721110964, 13412090186, 526261673867387060334436024320000004], 'label': '21499084800000000.gn.320._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744626
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [262013875203, 711374856192000, 41841809397328088940800577928005943296000000000, 21981085680015262940184087391232851968000000004, 361686124803, 8946448455745580025685412413440000003, 1583283, 1941149256871928463360000, 1128963, 912274611649115469089744848158720000004, 936846064197104891461632000000, 2248001455555215360004, 1596595680391279057717780061476565968043665227, 3, 26841466486742364681928704000000, 384853797199872003, 61716668861067154353010828297621232687184227309], 'label': '21499084800000000.gn.320._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744627
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [262013875203, 711374856192000, 41841809397328088940800577928005943296000000000, 21981085680015262940184087391232851968000000004, 361686124803, 61716668861067154353010828297621232687184227283, 8946448455745580025685412413440000003, 1583283, 1941149256871928463360000, 1128963, 912274611649115469089744848158720000004, 936846064197104891461632000000, 2248001455555215360004, 1596595680391279057717780061476565968043665227, 3, 26841466486742364681928704000000, 384853797199872003], 'label': '21499084800000000.gn.320._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744628
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [262013875203, 711374856192000, 41841809397328088940800577928005943296000000000, 1596595680391279057717780061476565968043665205, 21981085680015262940184087391232851968000000004, 361686124803, 61716668861067154353010828297621232687184227283, 8946448455745580025685412413440000003, 1583283, 1941149256871928463360000, 1128963, 912274611649115469089744848158720000004, 936846064197104891461632000000, 2248001455555215360004, 3, 26841466486742364681928704000000, 384853797199872003], 'label': '21499084800000000.gn.320._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744629
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [262013875203, 711374856192000, 41841809397328088940800577928005943296000000000, 1596595680391279057717780061476565968043665205, 21981085680015262940184087391232851968000000004, 361686124803, 8946448455745580025685412413440000003, 1583283, 1941149256871928463360000, 1128963, 912274611649115469089744848158720000004, 936846064197104891461632000000, 2248001455555215360004, 3, 26841466486742364681928704000000, 384853797199872003, 61716668861067154353010828297621232687184227309], 'label': '21499084800000000.gn.320._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744630
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14136632124671876070073083499487617695094428, 14135772476210561723673064930404043311609600, 3, 1190148998289750017117646346660400534925, 83160969351718916832134986922276059176398994038, 26313083998660991337576527661981753619, 14135755635819009151663581984075859688279048, 14135772731099939633162898879153442461882762, 518918420, 15, 550922143560316754852572377404445163559311987, 19939425988285448, 126004, 925553903285559933665798999052, 305291713679988048260223097683, 631554430372266257490935392575, 10103, 8946448782814954999362959489507011242, 41332551418914242750901931622760223564339815219, 12804747930425524, 11292160911552092468222858180, 271353686880058267650387182714563204, 167437968577879485627608346737406718428431647391, 1569440436192191315707013439015200289010792859, 774582725745220355860714510492298985929598223401, 711375375191048, 27527524075349601583793185644884987029488073], 'label': '21499084800000000.gn.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744631
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496880, 711374856192000, 52879125147719270400003, 181062604804, 21981085680015262940184087391232851968000000004, 312862565114161607368822216458240000000, 131760, 621572402461017047040000, 27461728753955084149456896000000, 61716668861067154353010828297621232687184227305, 17683523987479403909087232000004, 616523773774298119104609528053760000004, 62253455231616758644487175647490421555200000000, 6266937603, 1073573922318231893977064168118735062469799704, 3, 384853797199872003], 'label': '21499084800000000.gn.320._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744632
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496880, 711374856192000, 52879125147719270400003, 181062604804, 21981085680015262940184087391232851968000000004, 312862565114161607368822216458240000000, 131760, 621572402461017047040000, 27461728753955084149456896000000, 61716668861067154353010828297621232687184227305, 17683523987479403909087232000004, 1073573922318231893977064168118735062469799682, 616523773774298119104609528053760000004, 62253455231616758644487175647490421555200000000, 6266937603, 3, 384853797199872003], 'label': '21499084800000000.gn.320._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744633
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496880, 711374856192000, 52879125147719270400003, 181062604804, 21981085680015262940184087391232851968000000004, 61716668861067154353010828297621232687184227283, 312862565114161607368822216458240000000, 131760, 621572402461017047040000, 27461728753955084149456896000000, 17683523987479403909087232000004, 1073573922318231893977064168118735062469799682, 616523773774298119104609528053760000004, 62253455231616758644487175647490421555200000000, 6266937603, 3, 384853797199872003], 'label': '21499084800000000.gn.320._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744634
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1496880, 711374856192000, 52879125147719270400003, 181062604804, 21981085680015262940184087391232851968000000004, 61716668861067154353010828297621232687184227283, 312862565114161607368822216458240000000, 131760, 621572402461017047040000, 27461728753955084149456896000000, 17683523987479403909087232000004, 616523773774298119104609528053760000004, 62253455231616758644487175647490421555200000000, 6266937603, 1073573922318231893977064168118735062469799704, 3, 384853797199872003], 'label': '21499084800000000.gn.320._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744635
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [1128964, 8852650863190120306704384000000, 2534672732080677027840004, 243290200817664004, 506519820398592004, 21981085680015262940184087391232851968000000000, 915068325296268187140096000004, 373680, 12972960003, 88176211203, 2248001455555215360004, 523394610793391012977475223548225126400000004, 894907976411491696098708459356160000000, 303916116658416027343136804044800000003, 3, 82142079352038370935958154529313749198836873524, 61716668861067154353010828297621232687184227309], 'label': '21499084800000000.gn.320._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744639
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [26313083704661542079382318933203591545, 327071316123075271306490110083, 3, 26058202525264243095718789716682444804, 27527506453824670275279927799337964322693229, 21777740075928374271372089546, 536786370829208594125482109878450729738371785, 27527506453824376273867040327278172466825626, 26, 5789, 62240064062317956267984701256421037530007717786, 17892923741665512858227955060258566426, 26313083715147093092650175493120189363, 1175091669956023274163, 26584437368957304324868587229255914240, 19160074106, 13412090186, 77607141870201495603149, 61744196384608028283827895171515820386050120349, 17892914922084601184995852597330312346, 27527514874011158153301975391841416310841603, 21444299909132649159166481974920884491089098881, 1073573062669778778542287498452539761789689604, 711388268246884, 518918429, 526261685159574947897571865337543546, 1060181007935674132043018103713591900814377066], 'label': '21499084800000000.gn.320._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744640
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [26313083704661542079382318933203591545, 327071316123075271306490110083, 3, 26058202525264243095718789716682444804, 27527506453824670275279927799337964322693229, 21777740075928374271372089546, 536786370829208594125482109878450729738371785, 27527506453824376273867040327278172466825626, 26, 5789, 62240064062317956267984701256421037530007717786, 17892923741665512858227955060258566426, 26313083715147093092650175493120189363, 1175091669956023274163, 26584437368957304324868587229255914240, 19160074106, 13412090186, 77607141870201495603149, 61744196384608028283827895171515820386050120349, 17892914922084601184995852597330312346, 27527514874011158153301975391841416310841603, 1073573062669778778542287498452539761789689604, 711388268246884, 518918429, 526261685159574947897571865337543546, 82114552141088726737005133717914698613347452083, 1060181007935674132043018103713591900814377066], 'label': '21499084800000000.gn.320._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744641
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1189877644929939358653768587415469781780, 7134672309811212, 915068379248809263849802204091, 10087, 711381562340400, 1046046120894730201043869422181566056665389442, 61744568360576414922243764730455445437324094111, 17366635858692650102154582107011107840, 774582725745220355860714510492298985929598223401, 4, 1596968237870573904113976605277806779317277533, 10084, 61716670059628116259309060278669828389592333383, 1046045538849318893229523454968843599736821154, 915068326471379796520630551604, 52879144375775631519380, 41332550854506828587879843671487327966541500260, 958129212, 27527506182452995384346712067377315354882480, 271354590656274356407470919084956724, 41332551418914242750901931622760223564339815219, 27527506182452995384296183132703985007925684, 51123, 1175098428010969948823, 621068852382987315730925859855, 12972960007, 925553930261597339747146624096, 82114924134407257528738486536563217376304140808, 599157165987917523254470393838572531223, 27527506182453299869349333700730800832569607, 131780, 21777818755979695314127748415], 'label': '21499084800000000.gn.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744642
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [771120, 621068850134972678799360000000, 1583284, 1914173239405265879040004, 52879125147719270400003, 8852650863190120306704384000000, 19160064004, 21980713999296130166150662966874302788470504904, 312862565114161607368822216458240000000, 599157138536674346113573139251200000004, 371337674932224000, 274467916803, 13516122267648003, 61744196384608028283827895171515820386050120324, 83188496267172667414486197772322125372959778565, 523394610793391012977475223548225126400000004, 3, 82114922935583164447538602183159814553600000004], 'label': '21499084800000000.gn.320._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '320.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '320._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744643
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [26313084314438204326793284636987011926, 96, 61744196984291419347716756445269448384872131264, 5846, 536786371084107751043764188539528780259139200, 2248021394993138774400, 14135746418016257555946065686298902990428336, 315778480862050118271943629456, 1060180981877480154943398103142751911145368429, 711375814200993, 121776, 1569439845726593541789127992603811536344009095, 523394611064744688565347851631596711890989393, 86486, 21777740075934797586069756240, 1596967351909046863436212804053833075739653815, 958093953, 2508769631157682433677953, 1582831614182571063346307603785871034762230464, 83188496293477519448808566830549668042467198669, 550922116975843714362345701403926856954035313, 27527506453824364981756657858557127529363760, 29, 17637989218503360372005124458729911735, 61221545743627869729924073074336369587055548193, 6758073587875680, 7224991943], 'label': '21499084800000000.gn.384._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744644
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [271353675587871452984943575040000064, 281173939290, 1198569185071628207834495770951680000064, 2561648749547339612160090, 1569439845726593236497489671748373708800000090, 1059809604803110667817172032772974530240170886, 83188496293477519448808566830549668042467198704, 1502673, 17999301201541536121749504000090, 20411645834288669703686597719484478259200000096, 250424872169472096, 122000787836928033, 35988116825093780496973824000090, 1175091669949317120033, 51120, 96, 518918400], 'label': '21499084800000000.gn.384._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744645
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [271353675587871452984943575040000064, 281173939290, 1198569185071628207834495770951680000064, 2561648749547339612160090, 1569439845726593236497489671748373708800000090, 83188496293477519448808566830549668042467198704, 1059809604803110667817172032772974530240170890, 1502673, 17999301201541536121749504000090, 20411645834288669703686597719484478259200000096, 250424872169472096, 122000787836928033, 35988116825093780496973824000090, 1175091669949317120033, 51120, 96, 518918400], 'label': '21499084800000000.gn.384._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744646
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [96, 1582831605762384281468113565531155713049352880, 41346315180433905241769028624084639177823696090, 5846, 19562808545401744, 1046045261246321599714558734107103276375335846, 11292163159565976161070729633, 27527515128901461615426046993968425910838406, 8691540784535441640028062119946122215, 19160064000, 26976023889965786009639, 62790241619812611318401666492843266485607932784, 61716669182867971587763608813941752793304702753, 518928576, 376623190985126, 14135763784669189189335054346969960639349824, 271353675587950133055450823347872016, 1175110897994182236336, 526262599421343225038745465751883549, 41869336920877177195586359027115563230703950839, 17637988913211723124085458168286009584, 29, 27527506182452701384845749846783448956995770, 523394636851576486272079108620713956534508215, 45360, 78680058079122610428263], 'label': '21499084800000000.gn.384._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744647
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [96, 1582831605762384281468113565531155713049352880, 5846, 19562808545401744, 1046045261246321599714558734107103276375335846, 11292163159565976161070729633, 27527515128901461615426046993968425910838406, 8691540784535441640028062119946122215, 19160064000, 26976023889965786009639, 62790241619812611318401666492843266485607932784, 61716669182867971587763608813941752793304702753, 518928576, 376623190985126, 14135763784669189189335054346969960639349824, 271353675587950133055450823347872016, 1175110897994182236336, 41842182589487203614121569378372851384768239269, 526262599421343225038745465751883549, 41869336920877177195586359027115563230703950839, 17637988913211723124085458168286009584, 29, 27527506182452701384845749846783448956995770, 523394636851576486272079108620713956534508215, 45360, 78680058079122610428263], 'label': '21499084800000000.gn.384._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744648
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [493338462769152090, 186810624090, 2508769624399620341760000, 958003200, 42365204008121479953778053151554168422400000064, 262518244724736000, 61207409996683556420967161199290272972800000096, 1502673, 305291636072840466137088000096, 621572402461017047040064, 82114551541405300022549308539326650842044087130, 616523773774298119104609528053760000000, 126096, 894653068413212180491358966906880000000, 17999301201541536121749504000064, 96], 'label': '21499084800000000.gn.384._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744649
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [493338462769152090, 186810624090, 2508769624399620341760000, 958003200, 42365204008121479953778053151554168422400000064, 262518244724736000, 61207409996683556420967161199290272972800000096, 1502673, 305291636072840466137088000096, 621572402461017047040064, 616523773774298119104609528053760000000, 82114551541405300022549308539326650842044087126, 126096, 894653068413212180491358966906880000000, 17999301201541536121749504000064, 96], 'label': '21499084800000000.gn.384._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744650
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [21981085680015262940184087391232851968000000033, 82637573585772929440484356411480247396601129600, 523394610793391012977475223548225126400000033, 499761759264768000, 8946448455745580025685412413440000064, 87657292833, 83188496293477519448808566830549668042467198640, 609776689223427721003008000064, 12972960064, 126090, 620499492675411148800096, 1139040, 51704033477769953280096, 17988815623552244375224320000090, 376610217984033, 295241021878258318770436335206400000090, 96], 'label': '21499084800000000.gn.384._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744652
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [305291661975960951948410563211, 1569439872311031226525452648760968934826579081, 6706144088, 609776767903485088745453270888, 17637989850057761520258506249533271044, 41869336921148531165173758418211231048735148753, 616778718076471751424172016247567921851, 27527532766890995896000481136975609997296004, 52879125524348648579764, 21777817580900830125115090576, 631554430372278685640582986803, 21457691069748134537920091576489562772887465642, 4, 536786379249368230049655636203949190065756252, 27527523820442518372654578590633802589981452, 126003, 550922125922292170107849295046232106001398932, 376629378179760, 19228051132063927, 5760, 460033945060596504655605827618659037755418115851, 19160074095, 6758068358855543, 958013299, 526261989644601122486588112580204812, 550922143560281997583150286322656738395904001, 321809013569908456442676703614831620451, 82114551828226134487377487962541930107598634910, 40795764188707979862592588925235827106807532896, 20], 'label': '21499084800000000.gn.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744653
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [936846091173129492802793155216, 631554428124277230071955456003, 45383, 271353686880111044600408612474966420, 271094713874594019020455885069479527546858815362, 11292160911545669171208197772, 21457691677580403221802627743437223296189788791, 8946449065522320953166550624324688652, 106258457516026395727349598499515158764966139460, 21777738900856643740299350403, 27527515400255126717746486704255353775907242, 550922116975843724847848331555970205077228838, 3, 8, 1596967360600604699134602828148312067085974921, 41332551418914242750901931622760223564339815219, 126019, 936846064197118407591124588819, 21777816507997091192082483131, 14135755635818388889424520366986888970653361, 609776689223427721003008131767, 2248001455555215405372, 14135746689370248921084357746007147564733447, 936846064197111314758646615043, 672203654200742874013440, 83174359956593913954208385672769982917874132602, 536786379504276544106410033945666983702976653, 711374856318020, 5776, 536786379775629915209177807138694881983488012], 'label': '21499084800000000.gn.8._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744654
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [303916116658416027343136804044800000033, 1240896803466478878720033, 26584437368957224469706744791040000033, 523394610793391012977475223548225126400000064, 1174353, 61716668861058931187680852443808766361600000033, 243290200817664000, 915068325296268187140096000000, 88176211200, 2509944716069569658880033, 181062604890, 35694117349932484988633088000096, 86490, 384853797199872064, 96, 21980713999822427195774485595526667568273042450], 'label': '21499084800000000.gn.384._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744655
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [26584437368957224469706744791040000033, 79855142614381854720096, 599683400210541733173907575275520000096, 61744196367241383877773484402971928166400000096, 315777214062132212662272000096, 27461728753955084149456896000064, 62790242783632070470159476246773328589130172109, 376610217984000, 536786370557827456806323203681655193600000096, 256094948229120000, 51120, 96, 274467916864, 518918400, 1888372313608552611840096, 1583313], 'label': '21499084800000000.gn.384._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744656
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 96, 'diagramx': None, 'generators': [35682825189020940030836736000064, 631554428124264425324544000096, 403290, 493003698130944000, 21457691069221871927206612167684626841600000033, 21444300508289751697239019550702337146084319884, 122000787836928000, 82651709306140991904344925386841469747200000033, 9217802131333451478670355988480000033, 1583344, 6706022400, 180623520064, 1190148998289750014869144794562560000064, 1888372313608552611840033, 96, 1318503944625305518080096], 'label': '21499084800000000.gn.384._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '384.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '384._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744657
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [41346687477939915513757265946648056962652815488, 271380505762197283811425781498874779, 111, 17999301227445130383207825498823, 62762714122576597621624630983590343186482706525, 35694117351107577035192623155231, 186294682922430538977048742445038514362426727004, 35694117349932484988633088000000, 11292160911544957796352041139, 26584437390735017322840900683428156125, 35682825189020940030836736000000, 41346686592504676040274553995451481801417555790, 17988815623552244375224320000000, 26058193694391118806058179582403533463, 82114924125732162759068270126624009265559996811, 35682825215996964255560454275790, 42378968377999610920947586962235566843777472629, 20935040445353441233718457041989771705295695488, 41842182302666395337428330069501053301042069003, 27527532495536394754147062521967376687230059, 26841466486742365393303560318048, 21777738900836704321536005805, 21777738900849885679165566045, 11, 12973086000, 17638006923805008072213644700478469859, 1073572749807231053903902094647140052781509219, 67, 12972960000, 1569439854944395379123130213079958776885328670], 'label': '21499084800000000.gn.400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744658
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [62790614194658550516020957241149148461099120000, 61730804607476948043721377350312878243202890845, 62790241602174586101293498851178500045295737695, 1060180981622573082217811684480437004310807615, 25, 82128314695347600891367450163300002681933834125, 61730804607476947433944636422839209474056192099, 62790241602174586101293498851172076748800000000, 21457691069221871927206665046822955919457853305, 1582831605491029691618498563446700991634227798, 83188495694336808884142064051719963601322153060, 61730804607476947433944636422838498099200000000, 83188495676970173058516912896380082773281587864, 1060180981351218469783798427236303617014575465, 83188496267690705650401794991758840285997929535, 81605292694922848072348570167458718284522003145, 26584455074261512499183862745310569041, 61207409996683557030743877399235557169001369540, 119, 83188495676698819361151248590523124940800000000, 21457691086588507774607101358186142735742027440, 19562808545280000, 62790241602174586101293524754286181114435869380, 1582831605491029680326363555008712877551241638, 82128314695873862892304240348798841619663848954, 10080, 81, 83188495676698819361151249765634022934982200975, 20398254074795586935445622367434796393977407939], 'label': '21499084800000000.gn.400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744659
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [61730804607476948043721377350312878243202890845, 83188495676698845908620122692254815066481950020, 62790241602174586101293498851178500045295737695, 1060180981622573082217811684480437004310807615, 25, 82128314695347600891367450163300002681933834125, 61730804607476947433944636422839209474056192099, 62790241602174586101293498851172076748800000000, 21457691069221871927206665046822955919457853305, 1582831605491029691618498563446700991634227798, 61730804607476947433944636422838498099200000000, 83188495694336808884142064051719963601322153060, 83188495676970173058516912896380082773281587864, 1060180981351218469783798427236303617014575465, 83188496267690705650401794991758840285997929535, 81605292694922848072348570167458718284522003145, 26584455074261512499183862745310569041, 61207409996683557030743877399235557169001369540, 119, 21457691086588507774607101358186142735742027440, 83188495676698819361151248590523124940800000000, 19562808545280000, 62790241602174586101293524754286181114435869380, 82128314695873862892304240348798841619663848954, 1582831605491029680326363555008712877551241638, 10080, 81, 83188495676698819361151249765634022934982200975, 83188496580290131696054766276737253998367121938, 20398254074795586935445622367434796393977407939], 'label': '21499084800000000.gn.400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744660
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [61730804607476948043721377350312878243202890845, 83188495676698845908620122692254815066481950020, 62790241602174586101293498851178500045295737695, 1060180981622573082217811684480437004310807615, 25, 82128314695347600891367450163300002681933834125, 61730804607476947433944636422839209474056192099, 62790241602174586101293498851172076748800000000, 21457691069221871927206665046822955919457853305, 1582831605491029691618498563446700991634227798, 61730804607476947433944636422838498099200000000, 83188495694336808884142064051719963601322153060, 83188495676970173058516912896380082773281587864, 1060180981351218469783798427236303617014575465, 83188496267690705650401794991758840285997929535, 81605292694922848072348570167458718284522003145, 26584455074261512499183862745310569041, 61207409996683557030743877399235557169001369540, 119, 1583204797650145268316270231545316470353146980, 21457691086588507774607101358186142735742027440, 83188495676698819361151248590523124940800000000, 19562808545280000, 62790241602174586101293524754286181114435869380, 82128314695873862892304240348798841619663848954, 1582831605491029680326363555008712877551241638, 10080, 81, 83188495676698819361151249765634022934982200975, 20398254074795586935445622367434796393977407939], 'label': '21499084800000000.gn.400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744661
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [61730804607748328571261314710052301666178113405, 61207409996683556420967161199290272973319009219, 61207409996683582968436035301021963098481950038, 20398254074524233259857775642459105871877029780, 51120, 61730804607748328571261288807187910822244820560, 1060180981351218469783798427229880332972965760, 814855095583634446748596840605132583329152174619, 20398254074524233271149910650896005988352000038, 61730804607476947433944636422838498099200000000, 1060180981351218469783799602341113090316528015, 17638024291551860169523146027725509274, 62790241602174586722362427666196411374713942481, 83188495685916657796380600621652380723623165399, 1059810178165222639630840638851692871167230001, 25, 82128315303179870512094810805518757531491165280, 1582831605491029680326416331952311030495046574, 1060180981351218469783798427249443141518250080, 83188495676698819361151248590523124940800000000, 119, 1060180981351245005958700800806801944636457085, 81, 1582831623129027435703345976783017381822527464, 62790241602174586101293498851172076748800000000, 10080, 1060180981351218469783798427249443134812304074, 21981086288118858774770591332535003809193309318], 'label': '21499084800000000.gn.400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744662
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [61730804607748328571261314710052301666178113405, 814332444351399306446844355066104013039215819585, 61207409996683556420967161199290272973319009219, 61207409996683582968436035301021963098481950038, 20398254074524233259857775642459105871877029780, 51120, 61730804607748328571261288807187910822244820560, 1060180981351218469783798427229880332972965760, 20398254074524233271149910650896005988352000038, 61730804607476947433944636422838498099200000000, 1060180981351218469783799602341113090316528015, 17638024291551860169523146027725509274, 62790241602174586722362427666196411374713942481, 83188495685916657796380600621652380723623165399, 25, 82128315303179870512094810805518757531491165280, 1582831605491029680326416331952311030495046574, 1060180981351218469783798427249443141518250080, 83188495676698819361151248590523124940800000000, 119, 1060180981351245005958700800806801944636457085, 81, 1582831623129027435703345976783017381822527464, 62790241602174586101293498851172076748800000000, 10080, 1060180981351218469783798427249443134812304074, 21981086288118858774770591332535003809193309318], 'label': '21499084800000000.gn.400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744663
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [61730804633790031138606152599107089277504343040, 61730805215580534742141803600246729089654323319, 61207409996954910096555032652275216567000154794, 61730804911393064092360716645101161239084686024, 25, 21457691069221880779858793861750270238813886838, 62790241602174586101293498851172076748800000000, 61730804607476947433944636422838498099200000000, 61207409996683582968436035301021963098481950038, 82128314695347600891367450163293621231017984045, 6758068359858480, 21981085680015262940184089639234684145887476401, 82128314704039141370611254657558250243123359459, 815914905144502938708630142233254869206953620944, 61730805797354592363885237045935860393304109459, 21981086869892934080036824239571253083643569215, 119, 83188495676698819361151248590523124940800000000, 1582831605491029680327605524946027466993868874, 83188495676698828213804621725846458240108236881, 372610368638193958595227713698790122003064, 912274611649115497240853984770621440045, 61207409996683556420967188175307739655063424118, 62790241602174586722362348986145132159335987294, 81, 10080, 1582831605491029691618498563427472953914220254, 61207409996683556420967161199290272973318959539, 62790241602174586101293498851172076761254122285, 121680], 'label': '21499084800000000.gn.400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744664
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [271353697365637329851919394748435771, 305291715927983457484140897127, 616523783248017910036856477486535009135, 19, 711729836375055, 268280938807, 1073573627077183794912745621101710125424220263, 80659, 519040103, 19939425470053220, 271094713874594019020455885069479527546858815362, 271371686181233906073157879466016089, 10087, 621068929990116004556070992660, 1569439863364582455000823067742454882391878328, 27527506708714375252179931286557569020213824, 52879125147987551334500, 1175092381592893296000, 523394610793391644531929250933136436623149924, 4, 21777791779962229006443692891, 1046045261246286842443349430532828077799123223, 271353697365662057868641789754941303, 14135746418016877818263807328346207911516243, 82128687870131858392191863116071605742733264099, 41332551418914242750901931622760223564339815219, 1181202577273955475800834448027692815940, 17637988924503807603567745996929305543, 21444299926507471258613940175395585018730320554, 550922117247223914833503757113111619876432674, 121680, 1582831605491029702104076552718884888377594736], 'label': '21499084800000000.gn.8._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744665
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [62790241602700848090938099973657953498459504001, 5760, 82128314704565403022703383435570533847253859860, 61730804607476947433944636422838498099200000000, 1175105186072103808095, 21457691087114787131998475897924488189301159854, 1582831632075494489234577175836370325072434654, 25, 1060180981351218469783798427480305211848586198, 21457691069221871927206612167684626842558009005, 61207409996683557030743851597810040548316150438, 1582831614437478745848606901001695354212167639, 21981085680015263267253462364923203790520821855, 83188495676698819361151248590523124940800000000, 61730804625369862638736550784182111937324167780, 62790241602174612648762372952903766874481950025, 21457691069221871938498773079248812688126135699, 119, 83188495702756995361532724320756583457142482679, 21457691069221871927206612167691761532111958400, 90720, 81, 20398254074524233259857749739351424803176113299, 62790241602174586101293498851172076748800000000, 19160190104, 21981085984457659565770040966748784644310197615, 754184844236866950271235702684214347179918707321], 'label': '21499084800000000.gn.400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744666
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [55, 11, 361686124800, 62763086680319015051201890114037252936590120322, 1318503944625305518080000, 262518244724736000, 373680, 28151109136611901440000, 27145951539892951936794624000000, 12804747411456000, 295495929876537834377785827655680000000, 27528114277843369155316761157987855552460991, 2534672732080677027840000, 42378968378254554591565496359401297279721267247, 1537920, 599683400210541733173907575275520000000, 11292160911544957796352000000, 51120, 41319158773188277730258038703354019840000000000, 518918400, 81605664071207789680824910938641321164800000000], 'label': '21499084800000000.gn.400._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744667
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [958003200, 61744196384608028283827895171150529397395528419, 250424872169472000, 847440, 499761759264768000, 51704033477769953280000, 936846064197104891461632000000, 104, 725760, 620499492675411148800000, 1537920, 16, 61207409996683556420967161199290272972800000000, 82142450441765617137631234142322976358400000000, 61717042044008493703795030677554461854423012528, 262518244724736000, 62790241923720469150050760238654362301968679843, 17366635237623772991036388802560000000, 35682825189020940030836736000000, 616523773774298119104609528053760000000, 281173939200], 'label': '21499084800000000.gn.400._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744668
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [1060181580508375615537897774972789994953838198, 8946448455746201598107812949881327935, 51704033477769953280000, 1887197221938603294725764, 17366635553401014029192491424431625524, 14136640799731289180402366924161836964076180, 621572402461017047040000, 305292282373258938273959538487, 1502640, 766800, 14136927620566690045529618319295906776542651, 733800725040692111077329805004385895201356458365, 11294023380764066650865980083, 1862469205927496445455295, 523395201258989419257046066195023924251687876, 1862469206638870783086743, 1206989372158798088576740254076066677124, 1046046147207814493704360649069947757473907048, 1267872820933141463050100, 8, 5760, 915068946868690210965689091136, 21444299604953401336741530620534725755635679900, 271354601143637207757562798338364100, 1292600836944248832000000, 609777310795843363378643254328, 6758061134595123, 81605664384070364268706879057219745627423815008], 'label': '21499084800000000.gn.400._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744669
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [1060181580508375615537897774972789994953838198, 8946448455746201598107812949881327935, 51704033477769953280000, 1887197221938603294725764, 17366635553401014029192491424431625524, 14136640799731289180402366924161836964076180, 621572402461017047040000, 305292282373258938273959538487, 753125035561960012814401414684602361252394607974, 1502640, 766800, 14136927620566690045529618319295906776542651, 11294023380764066650865980083, 1862469205927496445455295, 523395201258989419257046066195023924251687876, 1862469206638870783086743, 1206989372158798088576740254076066677124, 1046046147207814493704360649069947757473907048, 1267872820933141463050100, 8, 5760, 915068946868690210965689091136, 21444299604953401336741530620534725755635679900, 271354601143637207757562798338364100, 1292600836944248832000000, 609777310795843363378643254328, 6758061134595123, 81605664384070364268706879057219745627423815008], 'label': '21499084800000000.gn.400._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744670
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [1496880, 7, 7224940800, 122000787836928000, 8852650863190120306704384000000, 599412046534953861720922631700480000000, 42378968378254554591565496359401297279722038367, 21981085680015262940184087391232851968000000000, 295767283552125705830770771230720000000, 774568590268248334927453576916439340799158943887, 134805535248384000, 523394610793391012977475223548225126400000000, 2561648749547339612160000, 1887197221938603294720000, 915068325296268187140096000000, 1502640, 186810624000, 256094948229120000, 1139040, 61744196384608028283827895171387396301718302179, 56], 'label': '21499084800000000.gn.400._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744671
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [1582831605491047669141961204254226742196464500, 14135772731117938936201006500340527925569239, 40823292259042938096360105258889313456682926010, 518918400, 2248251503836327033684, 8946475297212069016179597378698870888, 5760, 26584437390734965618551662909987834185, 365290988654592000, 131760, 526261673867389308463939060356023043, 51704155478558748337203, 12454041600, 26841466564349512598829450230404, 17366635237623799967175856272660230500, 17366662079090285636764847085850494096, 295241022793326644067082618082562179798, 1198824128752732914711030040093840444811, 378095736066048000, 616778718076471751424299687111463687131, 134805548660469848, 1060180981622590155966945433632281349340211811, 26313110534835892638589726606307436727, 12804760384496640, 256094948229120000, 12804767090560083, 41040, 773522545041472161818696638595619060397207169226], 'label': '21499084800000000.gn.400._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744672
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [912274611670893207990588687171286922190, 1073573930993299854846027266649549530087475165, 295241021878258318770449516577002531790, 312862565114161633271929897514926851179, 42392732400265460599616801183740753799817088128, 61716669747020494837544318449317178561038109470, 912274611649115469089744848171174163280, 550922116975879385896591052509380649250030219, 1207515633527373787860181559988750034627, 82142450441765635126446859942569183748672394171, 912274611649115469089744848177880069827, 1046045530174250931952710753502867236503433659, 21458063088870004359454600499709553588356421749, 17637988913211644444021332377600000103, 126067, 29, 1207515633527373787860181183365638918499, 523394906034439743187886877256268703133414349, 45, 523394628431406778141263079283688452517553299, 536786370557845456107524745224911620722871629, 27527523812245289947035065920768568512460991, 5827, 27527523820441625082015304027956565069945779, 894653095254678667233736453596407581488, 295241021878258318770436335206400000000, 1046046424810856300110408282488401611433101920, 67, 912274611649115469089744848158720000000], 'label': '21499084800000000.gn.400._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744673
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [912274611670893207990588687171286922190, 1073573930993299854846027266649549530087475165, 295241021878258318770449516577002531790, 312862565114161633271929897514926851179, 42392732400265460599616801183740753799817088128, 14135764056023452776725574771363633575882983, 61716669747020494837544318449317178561038109470, 912274611649115469089744848171174163280, 550922116975879385896591052509380649250030219, 1207515633527373787860181559988750034627, 82142450441765635126446859942569183748672394171, 912274611649115469089744848177880069827, 1046045530174250931952710753502867236503433659, 17637988913211644444021332377600000103, 126067, 29, 1207515633527373787860181183365638918499, 523394906034439743187886877256268703133414349, 45, 523394628431406778141263079283688452517553299, 536786370557845456107524745224911620722871629, 5827, 27527523820441625082015304027956565069945779, 894653095254678667233736453596407581488, 295241021878258318770436335206400000000, 1046046424810856300110408282488401611433101920, 210424461946562263550565511593814801935300998371, 67, 912274611649115469089744848158720000000], 'label': '21499084800000000.gn.400._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744674
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [18010593364701082535101071365798, 9767719188486530057441381893215, 915068325296268187147320946598, 526279684463231307285678247186627700, 526262588935740507718894454894965680, 27527523549105938309767403287388221057343280, 82637573855218923218144826909798457346802480480, 20935041044239208117282141163094394812697628720, 1060181007664311309803542674492644487202516560, 9217819814857518813467304416954400094, 25, 915068325296268187140097139078, 8863943024101665264500736000000, 271363443307062187394121386078068598, 9767719188486388493845000415361, 62253828431932955777562805537057093107693331280, 327069374973684305142430616400, 523395514392943870053999736135037794814888900, 119, 9767719241365636018969031745375, 1596595975097842644246343168284320385712549295, 9146650338351415815045120121705, 38, 8863943024101665264500736776984, 35988116825093780496973824000000, 17637998680930910537801033310671624925, 327069374973677170458624010154, 35378340135870352775970816000000, 327069374973677547068843118720], 'label': '21499084800000000.gn.400._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744675
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [126655968168567592954290373480943185981852783816, 78680064125797392071520, 19, 6266937607, 14136936567023987956473525025776716103919559, 21458063679590510730943088059732672869022943394, 82665101665588838315144448289343512327762482041, 315777293917294766469157008023, 21777738900837080938460012168, 526261685159547971899333258595333772, 616778682687646039863389050081871155215, 774582725745220355860714510492298985929598223401, 9217802131333451478683160755570444167, 6267024016, 14135746418017171818308836999261110001329930, 271354612433961553204274161716854891, 3, 13412054887, 1046045851456976923374544535462697018106867316, 1569439863619490769058173134534239437696086456, 41332551418914242750901931622760223564339815219, 19562820999402240, 1941149257583652992222651, 1175092381325131360579, 25903114815747716921536, 711393577222340, 14135755109557324798752484386445190624153536, 14135746418017171818359468122953274494809523, 12972960004, 958003207, 14135755109557640575914842485514847581484724, 19679104099], 'label': '21499084800000000.gn.8._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744676
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [915068325296268187147320946598, 9146650338351415815045120121705, 147067613725253203766532134303678550843650413420, 25, 17637998680930910537801033310671624925, 526262588935740507718894454894965680, 327069374973684305142430616400, 82128314999789997822245038688007092821000206081, 915068325296268187140097139078, 1596595975097842644246343168284320385712549295, 9767719188486530057441381893215, 18010593364701082535101071365798, 27527523549105938309767403287388221057343280, 119, 526279684463231307285678247186627700, 8863943024101665264500736000000, 1060181007664311309803542674492644487202516560, 8863943024101665264500736776984, 35988116825093780496973824000000, 271363443307062187394121386078068598, 38, 82637573855218923218144826909798457346802480480, 9217819814857518813467304416954400094, 327069374973677547068843118720, 20935041044239208117282141163094394812697628720, 523395514392943870053999736135037794814888900, 9767719241365636018969031745375, 327069374973677170458624010154, 9767719188486388493845000415361, 35378340135870352775970816000000], 'label': '21499084800000000.gn.400._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744677
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [518918400, 5760, 607832233316832054686273608089600000000, 1181202549834004434843459382149120000000, 61744196384608028283827895171502639028421406179, 2482968698602907074560000, 493715072987136000, 147067613725253212020698469181774865509634413420, 74, 27145951539892951936794624000000, 372049049788416000, 20948804224494620728797884080616721641615679890, 1502640, 7, 53952034933325168640000, 281173939200, 766800, 493338462769152000, 62790241602174586101293498851172076748800000000, 35378340135870352775970816000000, 536786370557827456806323203681655193600000000], 'label': '21499084800000000.gn.400._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744678
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [13516122267648000, 21777817580888360141384559376, 53952048114683756486416, 526261695645128209179730578690554211, 725783, 6423296495616000, 1596968541531783479320727810079707007478767393, 536787273886017785642874423874626431648374398, 271353675590355494600090155853372208, 13181357629440000, 315777265766178495186861722171, 1046045235204556204399573678078264121361357389, 448560, 6423309468979211, 26976037029471130048576, 1175104474696729382412, 725763, 925553957237614806415919055360, 83160968787566429580955360792997176827086530637, 26058175695089837409391536829788264980, 81605292104202315175172001419220616807009472645, 1582831605762383987470499698350281529139280660, 79855162177190400367931, 292524877142655529250006840830960146993463308237, 14135746944278529907861437889982010741461760, 806400, 536786987336509534676215560883602858001074531, 21777792852891577084628335940, 367920, 526261979159077085210212097752995139], 'label': '21499084800000000.gn.400._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744679
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100, 'diagramx': None, 'generators': [27899820800217348187642126303296287231867600, 14135773002453615221087129287182988204394241, 631554428124264425324544126000, 42378596957500430501911849371596482811234719302, 631554481003389573051039340907, 631554428124264801934761984107, 631554429299727432949751468884, 1582831614708832421436478354121109599232090824, 1073573045303125269394336983940248604978993303, 305291636072840466137088000000, 107, 526261685159547971886152069574531895, 631554428124264425343704115176, 11292160911544957796352000000, 55, 631554428124264425325063050263, 1582831632075467060575723033383220222392856402, 631554428124264425324544005760, 271353686880085243655049109383379282, 631554428124264425324544000000, 27528105865853826188320123157152582077863760, 17892896922783320963287120654102329655, 17366635542915461943015518781186128743, 13181357629530720, 11292833115205916531423494379, 103, 20948432500087519670306314118791886022484364699], 'label': '21499084800000000.gn.400._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744680
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [21471827719239405064207138709401075729678895325, 14136041659073796862362329796797186175523245, 14135764310939987929322740486992031205708939, 67, 27527532766908047865557588256152027922495360, 271389358413112177971256929140777070, 21777738900837415709804242571, 17366653248217135444124603032221900750, 111, 21457691668633918473052608829137122120460444829, 26841466539621496587709108229771, 11, 35672339611031654707621459786845, 17988815623552263938039132217667, 11292160911544957796352010179, 17999301201541536121762916044848, 14136354521638911023349301429846767716505611, 17988815623552244375224320000000, 166419451457215859714877007791726223753539546234, 35694117349932504216696674064547, 35694117349932484988633088000000, 526261695645152937310607895951075131, 14135755635818399375001334561393394525945531, 1060180990297684936124655079236488933443402899, 35682825189020940030836736000000, 35694117349932484988634046003229, 11292162086656190567187365819], 'label': '21499084800000000.gn.400._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744774
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 390625, 'diagramx': None, 'generators': [9217802131333451478670355988480000000, 545357362400460226602940542888264410829141929577, 82, 41319158773188277730258038703354019840000000000, 26584437368957224469706744791040000000, 814855095592054642677126612818594356396595637720, 52879125147719270400000, 55, 27461728753955084149456896000000, 82142450441765617137631234142322976358400000000, 8691540457466064418335919964160000000, 79855142614381854720000, 122000787836928000, 9767719188486388493844480000000, 186810624000, 14135746418016246263783979029731737600000000, 1502640, 274467916800, 53952034933325168640000, 378095736066048000, 134805535248384000, 36303894039155912709636096000000, 766800, 1128960, 78, 262013875200, 689781960549925344336368288003329968448967636422], 'label': '21499084800000000.gn.390625._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '390625._.A', 'old_label': '390625.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '390625._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744681
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [61730804607476948043721377350312878243202890845, 83188495676698845908620122692254815066481950020, 62790241602174586101293498851178500045295737695, 1060180981622573082217811684480437004310807615, 25, 82128314695347600891367450163300002681933834125, 61730804607476947433944636422839209474056192099, 62790241602174586101293498851172076748800000000, 21457691069221871927206665046822955919457853305, 1582831605491029691618498563446700991634227798, 61730804607476947433944636422838498099200000000, 83188495694336808884142064051719963601322153060, 83188495676970173058516912896380082773281587864, 82128315607630435705815374703553381208737004665, 1060180981351218469783798427236303617014575465, 83188496267690705650401794991758840285997929535, 26584455074261512499183862745310569041, 61207409996683557030743877399235557169001369540, 119, 21457691086588507774607101358186142735742027440, 83188495676698819361151248590523124940800000000, 19562808545280000, 62790241602174586101293524754286181114435869380, 82128314695873862892304240348798841619663848954, 1582831605491029680326363555008712877551241638, 10080, 81, 83188495676698819361151249765634022934982200975, 83188496580290131696054766276737253998367121938, 20398254074795586935445622367434796393977407939], 'label': '21499084800000000.gn.400._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744682
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [13516122267648000, 21777817580888360141384559376, 53952048114683756486416, 526261695645128209179730578690554211, 725783, 6423296495616000, 1596968541531783479320727810079707007478767393, 536787273886017785642874423874626431648374398, 271353675590355494600090155853372208, 13181357629440000, 315777265766178495186861722171, 1046045235204556204399573678078264121361357389, 794471349526729415445681022329018382904133459780, 6423309468979211, 448560, 26976037029471130048576, 1175104474696729382412, 725763, 925553957237614806415919055360, 83160968787566429580955360792997176827086530637, 26058175695089837409391536829788264980, 1582831605762383987470499698350281529139280660, 79855162177190400367931, 292524877142655529250006840830960146993463308237, 14135746944278529907861437889982010741461760, 806400, 536786987336509534676215560883602858001074531, 21777792852891577084628335940, 367920, 526261979159077085210212097752995139], 'label': '21499084800000000.gn.400._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744683
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [13516122267648000, 21777817580888360141384559376, 53952048114683756486416, 526261695645128209179730578690554211, 725783, 6423296495616000, 1596968541531783479320727810079707007478767393, 536787273886017785642874423874626431648374398, 271353675590355494600090155853372208, 13181357629440000, 315777265766178495186861722171, 1046045235204556204399573678078264121361357389, 6423309468979211, 448560, 26976037029471130048576, 1175104474696729382412, 271590208708003753982197455596939643835871161601, 725763, 105225804901032309652614700045654549870525164151, 925553957237614806415919055360, 83160968787566429580955360792997176827086530637, 26058175695089837409391536829788264980, 1059809882414392985908012670224359520682802555, 1582831605762383987470499698350281529139280660, 79855162177190400367931, 14135746944278529907861437889982010741461760, 806400, 536786987336509534676215560883602858001074531, 21777792852891577084628335940, 367920, 526261979159077085210212097752995139], 'label': '21499084800000000.gn.400._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744684
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [62790614194658550516020957241149148461099120000, 61730804607476948043721377350312878243202890845, 62790241602174586101293498851178500045295737695, 1060180981622573082217811684480437004310807615, 25, 82128314695347600891367450163300002681933834125, 61730804607476947433944636422839209474056192099, 62790241602174586101293498851172076748800000000, 21457691069221871927206665046822955919457853305, 1582831605491029691618498563446700991634227798, 83188495694336808884142064051719963601322153060, 61730804607476947433944636422838498099200000000, 83188495676970173058516912896380082773281587864, 1060180981351218469783798427236303617014575465, 83188496267690705650401794991758840285997929535, 26584455074261512499183862745310569041, 61207409996683557030743877399235557169001369540, 119, 1583204797650145268316270231545316470353146980, 83188495676698819361151248590523124940800000000, 21457691086588507774607101358186142735742027440, 19562808545280000, 62790241602174586101293524754286181114435869380, 1582831605491029680326363555008712877551241638, 82128314695873862892304240348798841619663848954, 10080, 81, 83188495676698819361151249765634022934982200975, 20398254074795586935445622367434796393977407939], 'label': '21499084800000000.gn.400._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744685
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [1046045261246286537958245751023328037886796136, 82651709914244578896764852701198449441012326515, 6423296495616000, 725783, 13181357629440000, 1093680, 1059809882414392985908012670224359520681789515, 19939418763264000, 376629897369715, 1569439845726593857567012010260387402310707204, 8946449381299536190377628482315616589, 145994413871328023825377485660181438650664110701, 403204, 6423315216998411, 8, 83174359948173700647450036446599960465676471129, 27527532766890690604286801142545886405526384, 271354590656197924357982023041692183, 609776740927474380149751912990, 1175092046566241932807, 77607160386883001280045, 6423297454344967, 806400, 11292160911558473919578019206, 1073572767700119418035860931846140395183548814, 793947954351249016681698072737577433893324229146, 27527506182453626938749035399959060248717467, 367920, 1582831623129019508606386072222644356130566442, 53952054161375343824010], 'label': '21499084800000000.gn.400._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744686
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [19678988167, 7224940800, 19678982412, 53952406647629997916811, 621068852382974845748152657220, 27527524075350516652194914436336303771728648, 14135773002454540774938710806880574314378168, 1582831623129018615316963068885402050488198331, 61716669174184645736974939656185929442551363245, 2248001455561921504084, 493338475223319611, 925553903285559933665280806473, 1060181893099569066100808199004178362030597208, 77607141158839093411695, 86400, 271354285364560676905668282885052811, 1060181007664303088707082880870800430113520000, 26058175695089863312480701205487258167, 519004803, 616778718076471751424172016247567921851, 77607390872324910774983, 62240064062844208805688569924337899139504236254, 35988118091893710872734358844735, 18620370053924510256285142735940, 21777741149209874161901648652, 4, 167437968577879485627608346737406718428431647391, 25903108392451221299772, 936846141804246050563259007375], 'label': '21499084800000000.gn.8._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744687
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [82651709914244578896764852701198449441012326515, 27527532766890690604286801142545886405526384, 6423315216998411, 8946449381299536190377628482315616589, 6423297454344967, 609776740927474380149751912990, 27527506182453626938749035399959060248717467, 793947954351249016681698072737577433893324229146, 292524877142655529250006840830966193679740940237, 806400, 83174359948173700647450036446599960465676471129, 1046045261246286537958245751023328037886796136, 1569439845726593857567012010260387402310707204, 13181357629440000, 403204, 53952054161375343824010, 271354590656197924357982023041692183, 725783, 1582831623129019508606386072222644356130566442, 8, 1073572767700119418035860931846140395183548814, 19939418763264000, 376629897369715, 1175092046566241932807, 6423296495616000, 11292160911558473919578019206, 77607160386883001280045, 1093680, 367920], 'label': '21499084800000000.gn.400._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744688
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [61730804633790031138606152599107089277504343040, 61730805215580534742141803600246729089654323319, 61207409996954910096555032652275216567000154794, 61730804911393064092360716645101161239084686024, 25, 21457691069221880779858793861750270238813886838, 62790241602174586101293498851172076748800000000, 61730804607476947433944636422838498099200000000, 61207409996683582968436035301021963098481950038, 82128314695347600891367450163293621231017984045, 6758068359858480, 753124663568378306073148264694519924121780186854, 21981085680015262940184089639234684145887476401, 82128314704039141370611254657558250243123359459, 815914905144502938708630142233254869206953620944, 61730805797354592363885237045935860393304109459, 21981086869892934080036824239571253083643569215, 119, 83188495676698819361151248590523124940800000000, 1582831605491029680327605524946027466993868874, 83188495676698828213804621725846458240108236881, 912274611649115497240853984770621440045, 61207409996683556420967188175307739655063424118, 62790241602174586722362348986145132159335987294, 81, 10080, 1582831605491029691618498563427472953914220254, 61207409996683556420967161199290272973318959539, 62790241602174586101293498851172076761254122285, 121680], 'label': '21499084800000000.gn.400._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744689
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [271380527541254688605225740039276800, 608358494990701331191844619898340458867, 1060180981351218469783852379271948316520574029, 67, 21779628346431813120177126343, 111, 62790241602700865774462165060568312731496243131, 62790614489883117570320633518324070557382057149, 82128314695347636585484854047832394891683650751, 18010593388356208323411087401070, 11, 35672339639182757420936426526011, 27528096648050791080515024705531428495541771, 21777738900836704321536131805, 11292160911544957796352010179, 17988815623552244375224320000000, 17999301203789537577304719446448, 1060180981351254152609066128240083894755468219, 26058175716870137958958560435093110983, 11292214863580267731738714750, 35694117349932484988633088000000, 12973005360, 26841466540694413131376659257568, 62790241602174586101295437752434628073615830400, 35682825189020940030836736000000, 80640, 1060180981351236480377214832358697944703165379, 40809899909084292332850834401339523690545161013], 'label': '21499084800000000.gn.400._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744690
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [271380527541254688605225740039276800, 608358494990701331191844619898340458867, 1060180981351218469783852379271948316520574029, 67, 1046417237469589428015917495066696279144625943, 21779628346431813120177126343, 111, 62790241602700865774462165060568312731496243131, 82128314695347636585484854047832394891683650751, 18010593388356208323411087401070, 11, 35672339639182757420936426526011, 27528096648050791080515024705531428495541771, 82142079638061563874484597150040551700275745779, 21777738900836704321536131805, 11292160911544957796352010179, 20398254673936306624986610618620640671968552271, 17988815623552244375224320000000, 17999301203789537577304719446448, 1060180981351254152609066128240083894755468219, 26058175716870137958958560435093110983, 11292214863580267731738714750, 35694117349932484988633088000000, 12973005360, 26841466540694413131376659257568, 62790241602174586101295437752434628073615830400, 35682825189020940030836736000000, 80640, 1060180981351236480377214832358697944703165379], 'label': '21499084800000000.gn.400._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744691
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [62790241602174586101293498851172076761254122285, 61207409996683556420967161199290272973318959539, 82128314695347600891367450163293621231017984045, 21981086869892934080036824239571253083643569215, 62790614194658550516020957241149148461099120000, 61730804607476947433944636422838498099200000000, 1582831605491029680327605524946027466993868874, 121680, 83188495676698828213804621725846458240108236881, 1582831605491029691618498563427472953914220254, 21981085680015262940184089639234684145887476401, 25, 61730805215580534742141803600246729089654323319, 83188495676698819361151248590523124940800000000, 62790241602174586722362348986145132159335987294, 61730804911393064092360716645101161239084686024, 6758068359858480, 61730805797354592363885237045935860393304109459, 119, 21457691069221880779858793861750270238813886838, 61207409996683556420967188175307739655063424118, 81, 82128314704039141370611254657558250243123359459, 912274611649115497240853984770621440045, 61207409996954910096555032652275216567000154794, 753124663568378306073148264694519924121780186854, 62790241602174586101293498851172076748800000000, 10080, 61730804633790031138606152599107089277504343040], 'label': '21499084800000000.gn.400._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744692
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 200, 'diagramx': None, 'generators': [21471827719239405064207138709401075729678895325, 14136041659073796862362329796797186175523245, 14135764310939987929322740486992031205708939, 67, 27527532766908047865557588256152027922495360, 186294682922430538977048742445038514362426726934, 271389358413112177971256929140777070, 21777738900837415709804242571, 17366653248217135444124603032221900750, 111, 26841466539621496587709108229771, 11, 35672339611031654707621459786845, 17988815623552263938039132217667, 11292160911544957796352010179, 17999301201541536121762916044848, 14136354521638911023349301429846767716505611, 17988815623552244375224320000000, 166419451457215859714877007791726223753539546234, 35694117349932504216696674064547, 35694117349932484988633088000000, 526261695645152937310607895951075131, 14135755635818399375001334561393394525945531, 61207410891065289169186722187200920444610266880, 1060180990297684936124655079236488933443402899, 35682825189020940030836736000000, 35694117349932484988634046003229, 11292162086656190567187365819], 'label': '21499084800000000.gn.400._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744693
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [711374856192000, 35672339611031648284311552000000, 815915276547619065347804247578956522443958943999, 620499492675411148800000, 847440, 499761759264768000, 8946448455745580025685412413440000000, 28151109136611901440000, 372610368638193958595227713698790122003064, 305291636072840466137088000000, 372592483964414727458389977071712299119944, 281173939200, 295241021878258318770436335206400000000, 1582831605491029680326337651881803776000000000, 1093680, 354980102400, 774073095460362228961944825180150600312718707359, 82, 38, 41319158773188277730258038703354019840000000000], 'label': '21499084800000000.gn.400._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744694
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [26830174325830819724132352000000, 61730804607476947433944636422838498099200000003, 52879125147719270400000, 61193646252538805666738080362754803218115886563, 122000787836928000, 8852650863190120306704384000026, 41841809397328088940800577928005943296000000003, 21457691972286913735193686928328749294085916825, 13181357629440000, 9217802131333451478670355988480000029, 621572402461017047040000, 262013875200, 41043, 27145951539892951936794624000025, 448563, 26, 3, 62790242488144337505478276479351042964844490245, 355938105604, 1190148998289750014869144794562560000029], 'label': '21499084800000000.gn.400._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744695
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [61730804607476947433944636422838498099200000003, 52879125147719270400000, 122000787836928000, 41841809397328088940800577928005943296000000003, 62790241620075706461223320457698820849004490245, 61193646252538814824680579625715576059587886589, 315777214062132212662272000026, 13181357629440000, 621572402461017047040000, 262013875200, 21457691095798087383479049724882414543365916829, 41043, 17892896911491160051370824826880000000, 448563, 26, 3, 26313083693369353016721801216000000029, 355938105604, 8863943024101665264500736000026, 26584437368957224469706744791040000000], 'label': '21499084800000000.gn.400._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744696
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [52879125147719270400000, 61744196367241383877773484402971928166400000004, 122000787836928000, 315777214062132212662272000026, 13181357629440000, 27527506182452690092631959163161804800000025, 9217802131333451478670355988480000029, 621572402461017047040000, 262013875200, 41319158773188277730258038703354019840000000025, 61730805493446698838129414051017464315244490241, 41043, 82114550951202859295080868589718547707587886585, 903065033282405586544200986206725916803, 448563, 26, 3, 355938105604, 1190148998289750014869144794562560000029, 8863943024101665264500736000026], 'label': '21499084800000000.gn.400._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744697
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [51120, 21981085680015262951476250550779265506379073386, 536786387924462705722259354264457353994303363, 41043, 958093928, 5760, 2248001455556173453940, 77607141535455578403855, 62763086984235149403627458146627974788489562807, 17366635869178255067355686884008874091, 327069377221679337408374544495, 271354307142378257306736629136134404, 1596967360600587309610141038860095306571565441, 815915277138084636912617251823493825192174964465, 14135755635819292665639434019219304980624004, 53952048449453703231371, 167437968577879485627608346737406718428431647391, 1060180998717854023184839432574267519295334328, 1913100329620015399997280, 17637989850057786248286610709778483132, 62776849851101690126222956056062850217983102007, 61207410023267994715478317105666464670918538256, 6758067839852167, 41055, 61730804616423414510060321004170663877857800926, 19160074080, 21777790604883698214714931207, 82128314999790006053825216300954408136136863460, 711387829203120, 41332551418914242750901931622760223564339815219], 'label': '21499084800000000.gn.8._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744698
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [26830174325830819724132352000000, 103, 128047474114560000, 646300418472124416000000, 19939418763264000, 27461728753955084149456896000000, 303916116658416027343136804044800000000, 20398254074524233259857749739351048192000000000, 1941149256871928463360000, 1583280, 147067613725253239438871745335326835155202413323, 16, 187313199739967431563239694199447397186278420999, 125623686713038692548085681171620282636510897239, 51120, 274467916800, 354980102400, 61716668861058931187680852443808766361600000000, 26584437368957224469706744791040000000], 'label': '21499084800000000.gn.400._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744699
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [26851952064731656428453888000000, 1219680, 732754308098973403449831920110053118868433070751, 1207515633527373787860181183365120000000, 620499492675411148800000, 28151109136611901440000, 105198649101627155686928805356524647239943195567, 6706022400, 376610217984000, 62253455231616758644487175647490421555200000000, 121666023198720000, 794471349526729415445681022328998820095588659300, 180623520000, 9767719188486388493844480000000, 111, 27527506182452690092631959163161804800000000, 38, 1128960, 26058175695089837409372308766720000000, 292524877142655529250006840830953054167692369917], 'label': '21499084800000000.gn.400._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744700
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 400, 'diagramx': None, 'generators': [17999301201541536121749504000000, 100111334400, 710689473480133402758823945542098117356520402475, 499761759264768000, 599412046534953861720922631700480000000, 25, 1073572741115654913612646407363310387200000000, 403200, 21981085680015262940184087391232851968000000000, 371337674932224000, 1583280, 368392147200, 61193646538825155662589378390796734577682910815, 295241021878258318770436335206400000000, 119, 1889445223394158510080000, 36303894039155912709636096000000, 26976017466662584320000, 281173939200, 45], 'label': '21499084800000000.gn.400._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '400.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '400._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744701
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [536786370557827456806323203681655193600000107, 128047474114560000, 181062604907, 621068850134972678799360000082, 41040, 107, 13516122267648000, 1887197221938603294720000, 1457387, 61744196367241383877773484402971928166400000055, 26584437368957224469706744791040000055, 81605664071207789680826154134543588099769934642, 303916116658416027343136804044800000107, 25903107681056686080107, 82, 41332550541907403478687747422327109491650370640, 8863943024101665264500736000000, 6266937707], 'label': '21499084800000000.gn.480._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744708
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1189877644929939358653768587415469781780, 7134672309811212, 915068379248809263849802204091, 10087, 711381562340400, 1046046120894730201043869422181566056665389442, 17366635858692650102154582107011107840, 4, 1596968237870573904113976605277806779317277533, 10084, 61716670059628116259309060278669828389592333383, 1046045538849318893229523454968843599736821154, 915068326471379796520630551604, 52879144375775631519380, 41332550854506828587879843671487327966541500260, 958129212, 27527506182452995384346712067377315354882480, 271354590656274356407470919084956724, 82128687870131858392191863116071605742733264099, 27527506182452995384296183132703985007925684, 51123, 1583204797123900341524948650280936820078396287, 1175098428010969948823, 621068852382987315730925859855, 12972960007, 925553930261597339747146624096, 82114924134407257528738486536563217376304140808, 599157165987917523254470393838572531223, 27527506182453299869349333700730800832569607, 131780, 21777818755979695314127748415, 61716669174184645736974939656185929442551363245], 'label': '21499084800000000.gn.8._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744709
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [128047474114560000, 18293300676702831630090240000000, 181062604800, 2507696714614014443520000, 19939418763264000, 21981085680015262940184087391232851968000000000, 35378340135870352775970816000000, 21994478638077566473771266742769058653785589762, 1941149256871928463360000, 1502640, 17892896911491160051370824826880000000, 61716669173658392295091482191603607711860493362, 321554105571627671787158136422400000000, 1093680, 13412044800, 23, 41319158773188277730258038703354019840000000000], 'label': '21499084800000000.gn.480._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744710
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [378095736066048000, 7224940800, 1266799911147535564800000, 20411645834288669703686597719484478259200000000, 131760, 13181357629440000, 35378340135870352775970816000000, 590465598079208281695237219287040000000, 21994478638077566473771266742769058653785589762, 27145951539892951936794624000000, 1492560, 41318787396640187296040070624407191530172085760, 1862469205927495925760000, 894907976411491696098708459356160000000, 550922116975843703070107182711386931200000000, 23, 368392147200], 'label': '21499084800000000.gn.480._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744711
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [53952034933325168640067, 82637946169828465026295655634178875581771881680, 19160064067, 82651709306140991904344925386841469747200000000, 493715072987136000, 2508769624399620341760000, 10147, 303916116658416027343136804044800000000, 67, 134805535248384000, 27145951539892951936794624000000, 41332551731250581263845786799276977654355223137, 274467916867, 17892896911491160051370824826880000000, 81605664071207789680826154134543588099769934560, 11292160911544957796352000000, 806467, 41332550532952714174086886683487449907200000067], 'label': '21499084800000000.gn.480._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744712
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [599683400210541733173907575275520000119, 82651710495755541974181780053060197481076162524, 21981085680015262940184087391232851968000000000, 1174320, 27461728753955084149456896000000, 41319158773188277730258038703354019840000000119, 82637946169828465026295655634178875581771881799, 1492560, 1266799911147535564800119, 295241021878258318770436335206400000119, 17683523987479403909087232000000, 281173939319, 486957011853312119, 699179543619843686400119, 249713497313280119, 119, 354980102400], 'label': '21499084800000000.gn.480._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744713
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [7224940919, 622747494130966364160000, 61207409996683556420967161199290272972800000119, 8691540457466064418335919964160000119, 2508769624399620341760000, 262518244724736000, 21994849728602455465672689378852880265676620204, 26851952064731656428453888000119, 376610217984119, 1583280, 609776689223427721003008000000, 180623520119, 10199, 83188124578016911011319763463208247260552284240, 119, 1596967351909045926590121630911535513600000119, 1181202549834004434843459382149120000000], 'label': '21499084800000000.gn.480._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744714
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [847507, 53952034933325168640067, 1596595680128156441875856457743922580574022240, 41841809397328088940800577928005943296000000000, 312862565114161607368822216458240000067, 361686124800, 493715072987136000, 21981085680015262940184087391232851968000000000, 27461728753955084149456896000000, 9146650338351415815045120000000, 67, 12972960067, 134805535248384000, 5827, 616523773774298119104609528053760000000, 1267872820933141463040000, 21967322517924145733932633110156584647140983617], 'label': '21499084800000000.gn.480._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744715
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [1175091669949317120067, 14135746418016246263783979029731737600000067, 2561648749547339612160067, 45360, 262013875267, 9217802131333451478670355988480000067, 180623520067, 371337674932224000, 67, 26841466486742364681928704000067, 1190148998289750014869144794562560000067, 81619428119794982206315294416342430458023734355, 122377398054912067, 631554428124264425324544000000, 21967322517924145733932633110156584647140983555, 42365204008121479953778053151554168422400000000, 766800], 'label': '21499084800000000.gn.480._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744716
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [35378340135870352775970816000067, 82114922935583164447538602183159814553600000000, 312862565114161607368822216458240000067, 2561648749547339612160067, 80640, 19678982467, 262013875267, 506519820398592000, 28151109136611901440000, 67, 1596967351909045926590121630911535513600000067, 82665101074860117652773960778294081169306616240, 376610217984067, 61716669173658392295091482191603607711860493395, 26851952064731656428453888000067, 1139040, 599157138536674346113573139251200000000], 'label': '21499084800000000.gn.480._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744717
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [355419187255, 620499492675411148800107, 55, 21994849728602455465672689378852880265676620266, 885961527955746116073023046942720000107, 599157138536674346113573139251200000082, 243290200817664000, 86400, 8863943024101665264500736000107, 1269047912603090780160107, 19939418763264107, 88176211255, 1502747, 1046045234933202223520014448200148582400000107, 20425781580706685949950381698514209996800000107, 82, 35682825189020940030836736000107], 'label': '21499084800000000.gn.480._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744718
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [1060180981351218469783798427229880320000000000, 20411645834288669703686597719484478259200000000, 1318503944625305518080000, 1198569185071628207834495770951680000000, 493338462769152000, 67, 305291636072840466137088000000, 13516122267648000, 21967322543702736062136600303718110359186441107, 193077561600, 355419187200, 526261673867387060334436024320000000, 1888372313608552611840000, 18010593362453081079545856000000, 1128960, 41318787370861596967836671000140746997376833941, 363600], 'label': '21499084800000000.gn.480._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744719
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [774045567945488235814786802198937663230968494714, 936846091173129492802793155216, 631554428124277230071955456003, 45383, 271353686880111044600408612474966420, 11292160911545669171208197772, 21457691677580403221802627743437223296189788791, 8946449065522320953166550624324688652, 106258457516026395727349598499515158764966139460, 21777738900856643740299350403, 27527515400255126717746486704255353775907242, 550922116975843724847848331555970205077228838, 3, 8, 1596967360600604699134602828148312067085974921, 41332551418914242750901931622760223564339815219, 126019, 936846064197118407591124588819, 21777816507997091192082483131, 14135755635818388889424520366986888970653361, 609776689223427721003008131767, 2248001455555215405372, 14135746689370248921084357746007147564733447, 936846064197111314758646615043, 672203654200742874013440, 83174359956593913954208385672769982917874132602, 536786379504276544106410033945666983702976653, 711374856318020, 5776, 536786379775629915209177807138694881983488012], 'label': '21499084800000000.gn.8._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744720
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [55, 8691540457466064418335919964160000082, 13516122267648107, 1073572741115654913612646407363310387200000107, 41332551731250581263845786799276977654355223097, 894381714737624309038374023331840000107, 18010593362453081079545856000107, 6266937600, 1318503944625305518080082, 27461728753955084149456896000082, 2508769624399620341760055, 106378272107, 766855, 81605664071207789680826154134543588099769934560, 128047474114560107, 41332550532952714174086886683487449907200000107, 51120, 82], 'label': '21499084800000000.gn.480._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744721
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [1496880, 620499492675411148800082, 21967322543702736062136600303718110359186441095, 181581523282, 26851952064731656428453888000082, 599157138536674346113573139251200000082, 621068850134972678799360000082, 20425781580706685949950381698514209996800000082, 122000787836928082, 41332551731250581263845786799276977654355223097, 8946448455745580025685412413440000000, 536786370557827456806323203681655193600000000, 28151109136611901440082, 281173939200, 847522, 19228043907072082, 82], 'label': '21499084800000000.gn.480._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744730
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [733773198402578280567549104964729868920718707313, 1189877644929939358653768587415469781780, 7134672309811212, 915068379248809263849802204091, 10087, 711381562340400, 1046046120894730201043869422181566056665389442, 17366635858692650102154582107011107840, 4, 1596968237870573904113976605277806779317277533, 10084, 61716670059628116259309060278669828389592333383, 1046045538849318893229523454968843599736821154, 915068326471379796520630551604, 52879144375775631519380, 41332550854506828587879843671487327966541500260, 958129212, 27527506182452995384346712067377315354882480, 271354590656274356407470919084956724, 27527506182452995384296183132703985007925684, 51123, 1175098428010969948823, 621068852382987315730925859855, 12972960007, 925553930261597339747146624096, 82114924134407257528738486536563217376304140808, 599157165987917523254470393838572531223, 27527506182453299869349333700730800832569607, 131780, 21777818755979695314127748415, 61716669174184645736974939656185929442551363245], 'label': '21499084800000000.gn.8._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744731
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [26830174325830819724132352000000, 1596595680128156441875856457743922580574022295, 20920904698664044470400288964002971648000000000, 1267872820933141463040107, 107, 131760, 1198569185071628207834495770951680000000, 506519820398592000, 1596967351909045926590121630911535513600000000, 403307, 2561648749547339612160107, 42392731514830230599454965779398105063290194639, 885961527955746116073023046942720000000, 281173939200, 36303894039155912709636096000107, 354980102400, 7134671351808000], 'label': '21499084800000000.gn.480._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744732
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [26830174325830819724132352000000, 1596595680128156441875856457743922580574022295, 20920904698664044470400288964002971648000000000, 1267872820933141463040107, 107, 131760, 1198569185071628207834495770951680000000, 506519820398592000, 1596967351909045926590121630911535513600000000, 403307, 42392731514830230599454965779398105063290194665, 2561648749547339612160107, 885961527955746116073023046942720000000, 281173939200, 36303894039155912709636096000107, 354980102400, 7134671351808000], 'label': '21499084800000000.gn.480._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744733
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [8852650863190120306704384000000, 14135746418016246263783979029731737600000000, 126000, 371337674932224000, 373680, 2248001455555215360000, 590465598079208281695237219287040000000, 122377398054912000, 1941149256871928463360000, 925553903285559933665280000000, 1190148998289750014869144794562560000000, 193077561600, 81605664071207789680826154134543588099769934560, 355419187200, 82665473380778118665891962348012115527771692023, 42365204008121479953778053151554168422400000000, 23, 41318787370861596967836671000140746997376833941], 'label': '21499084800000000.gn.480._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744734
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [8691540457466064418335919964160000082, 1292600836944248832000082, 8852650863190120306704384000082, 493338462769152082, 1189622736615882627808810358538240000000, 19939418763264000, 41319158773188277730258038703354019840000000082, 349232083200, 373680, 41318787370861596967836671000140746997376834022, 86482, 2248001455555215360082, 536786370557827456806323203681655193600000082, 41332550541907403478687747422327109491650370695, 13412044800, 35682825189020940030836736000000, 82], 'label': '21499084800000000.gn.480._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744735
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [8691540457466064418335919964160000082, 1292600836944248832000082, 8852650863190120306704384000082, 493338462769152082, 1189622736615882627808810358538240000000, 19939418763264000, 41319158773188277730258038703354019840000000082, 349232083200, 373680, 86482, 2248001455555215360082, 41318787370861596967836671000140746997376834000, 536786370557827456806323203681655193600000082, 41332550541907403478687747422327109491650370695, 13412044800, 35682825189020940030836736000000, 82], 'label': '21499084800000000.gn.480._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744736
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [243290200817664107, 41318787396640187296038832026702525507382715520, 174356582507, 622747494130966364160000, 61207409996683556420967161199290272972800000000, 599412046534953861720922631700480000000, 82142450441765617137631234142322976358400000000, 493715072987136000, 17988815623552244375224320000000, 107, 131760, 268719897600, 26976017466662584320000, 17892896911491160051370824826880000107, 21994477448734388688612478781352986263450095442, 9462427552413548027707392000107, 776987], 'label': '21499084800000000.gn.480._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744737
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [243290200817664107, 174356582507, 622747494130966364160000, 61207409996683556420967161199290272972800000000, 599412046534953861720922631700480000000, 82142450441765617137631234142322976358400000000, 493715072987136000, 17988815623552244375224320000000, 107, 131760, 41318787396640187296038832026702525507382715575, 268719897600, 26976017466662584320000, 17892896911491160051370824826880000107, 21994477448734388688612478781352986263450095467, 9462427552413548027707392000107, 776987], 'label': '21499084800000000.gn.480._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744738
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [243290200817664107, 174356582507, 622747494130966364160000, 61207409996683556420967161199290272972800000000, 599412046534953861720922631700480000000, 82142450441765617137631234142322976358400000000, 493715072987136000, 17988815623552244375224320000000, 107, 131760, 41318787396640187296038832026702525507382715575, 268719897600, 26976017466662584320000, 17892896911491160051370824826880000107, 21994477448734388688612478781352986263450095442, 9462427552413548027707392000107, 776987], 'label': '21499084800000000.gn.480._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744739
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120, 'diagramx': None, 'generators': [493003698130944000, 607832233316832054686273608089600000082, 126000, 19939418763264000, 41332550532952714174086886683487449907200000082, 21966950246196707801330285735591210919202601600, 271353675587871452984943575040000000, 1941149256871928463360000, 305291636072840466137088000000, 35378340135870352775970816000082, 1502640, 193077561600, 41332550541907403478687747422327109491650370695, 20425781580706685949950381698514209996800000000, 355419187282, 82, 1175091669949317120000], 'label': '21499084800000000.gn.480._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744740
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [20920905298347445617789354208330086600121503360, 21457691069221871927206612167684626841600000000, 20920904698664044470400288964002971648000086467, 41841809397599443226167674350080413582004362352, 20411645834288669703686597719484478259200000000, 41332550532952714174086886683488161301216266147, 536786370557827456806323203681655193600051157, 1046045234933211370170432654771759367962208653, 1046045234933202223520014448219376626826112192, 20920905905653417260752753960961033921284279152, 1046045260991378550164358661888538655933292807, 37, 20411645834560050841003277079589216010839824592, 1046045234933202223520014448200148582919004882, 1046045234933202223520014448200148601121100992, 21457691069221872558761091995989664620422053767, 61207409996683557346521064484857341328591882173, 61716668870005379665204173618332338651791360052, 20920904698664044470400288964002971648000010132, 7, 40809528210982079242769085612283208629422222795, 20411645834288669703689105416442759085198086512, 62253455231616758655779337734133472604589682567, 61716668861058931187680854691810933310831621842, 62253455231616758644487175647490421555200000000, 20411646720521569954991203298998752748460931222], 'label': '21499084800000000.gn.480._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744741
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [936846091173129492802793155216, 631554428124277230071955456003, 45383, 271353686880111044600408612474966420, 209350889500671175070589549151202620732587237797, 11292160911545669171208197772, 21457691677580403221802627743437223296189788791, 8946449065522320953166550624324688652, 21777738900856643740299350403, 27527515400255126717746486704255353775907242, 550922116975843724847848331555970205077228838, 3, 8, 126669731356980043555804404514951445243057162860, 1596967360600604699134602828148312067085974921, 41332551418914242750901931622760223564339815219, 126019, 936846064197118407591124588819, 21777816507997091192082483131, 14135755635818388889424520366986888970653361, 609776689223427721003008131767, 2248001455555215405372, 14135746689370248921084357746007147564733447, 936846064197111314758646615043, 672203654200742874013440, 83174359956593913954208385672769982917874132602, 536786379504276544106410033945666983702976653, 711374856318020, 5776, 536786379775629915209177807138694881983488012], 'label': '21499084800000000.gn.8._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744742
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [81605664071207825059165047984085767359401042612, 925553903285560310294218963237, 35378340138118354231526550323812, 112, 1582831605491056521792850297367348480705776642, 83160968465757415390784742896485157149077795213, 1569439871784795773053840799509965757839116212, 21444300499606442615295005407159184428505695987, 26536174850669543778619840303440, 894381750115964444908726799583829939252, 9767719188486388493844480000037, 27461728753955583911497334707237, 7, 35378340135870352775971334918426, 536786370557827456806325451702338886646784087, 8842165285200828560179200000000, 1046045234933228759694866292822792403627094452, 536786370557863760701034563255700156265628106, 9462427606365582961032560681159, 21966950246196707507330810574295702578466601542, 21981085680015272402613529250369230163777827792, 17638015449386495113545548169216000119, 9767719188486388493851186022400, 523394610793426695803956845331623695274245760, 27461728753955084149456897492586, 14135746418026013982973640516318828850829927, 35682825189020940030850148095927, 523394610793427316872187655903297032802605453, 62790613604456048222870454218555501835794437222, 36303894039155912709642362947680, 26841466486742371816618776908973, 526271441586575546722930055610624112, 27461728753955084149456896000000], 'label': '21499084800000000.gn.480._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744743
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [81605664071207825059165047984085767359401042612, 925553903285560310294218963237, 35378340138118354231526550323812, 112, 1582831605491056521792850297367348480705776642, 83160968465757415390784742896485157149077795213, 1569439871784795773053840799509965757839116212, 21444300499606442615295005407159184428505695987, 26536174850669543778619840303440, 894381750115964444908726799583829939252, 9767719188486388493844480000037, 27461728753955583911497334707237, 7, 35378340135870352775971334918426, 536786370557827456806325451702338886646784087, 8842165285200828560179200000000, 1046045234933228759694866292822792403627094452, 536786370557863760701034563255700156265628106, 9462427606365582961032560681159, 1582832508564285801377170272358011128020688742, 21981085680015272402613529250369230163777827792, 21994849728602428929499648350500407157925394662, 17638015449386495113545548169216000119, 9767719188486388493851186022400, 523394610793426695803956845331623695274245760, 27461728753955084149456897492586, 14135746418026013982973640516318828850829927, 35682825189020940030850148095927, 523394610793427316872187655903297032802605453, 36303894039155912709642362947680, 26841466486742371816618776908973, 526271441586575546722930055610624112, 27461728753955084149456896000000], 'label': '21499084800000000.gn.480._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744744
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [81605664071207825059165047984085767359401042612, 925553903285560310294218963237, 35378340138118354231526550323812, 112, 1582831605491056521792850297367348480705776642, 83160968465757415390784742896485157149077795213, 1569439871784795773053840799509965757839116212, 21444300499606442615295005407159184428505695987, 26536174850669543778619840303440, 894381750115964444908726799583829939252, 9767719188486388493844480000037, 27461728753955583911497334707237, 7, 35378340135870352775971334918426, 536786370557827456806325451702338886646784087, 8842165285200828560179200000000, 1046045234933228759694866292822792403627094452, 536786370557863760701034563255700156265628106, 9462427606365582961032560681159, 21966950246196707507330810574295702578466601542, 21981085680015272402613529250369230163777827792, 61730433508795038790116105099788390609014096173, 17638015449386495113545548169216000119, 9767719188486388493851186022400, 523394610793426695803956845331623695274245760, 27461728753955084149456897492586, 14135746418026013982973640516318828850829927, 35682825189020940030850148095927, 523394610793427316872187655903297032802605453, 36303894039155912709642362947680, 26841466486742371816618776908973, 526271441586575546722930055610624112, 27461728753955084149456896000000], 'label': '21499084800000000.gn.480._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744745
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [81605664071207825059165047984085767359401042612, 925553903285560310294218963237, 35378340138118354231526550323812, 112, 1582831605491056521792850297367348480705776642, 83160968465757415390784742896485157149077795213, 1569439871784795773053840799509965757839116212, 21444300499606442615295005407159184428505695987, 26536174850669543778619840303440, 894381750115964444908726799583829939252, 9767719188486388493844480000037, 27461728753955583911497334707237, 7, 35378340135870352775971334918426, 536786370557827456806325451702338886646784087, 8842165285200828560179200000000, 1046045234933228759694866292822792403627094452, 536786370557863760701034563255700156265628106, 9462427606365582961032560681159, 83160968787558180206536879890864162409206377639, 21981085680015272402613529250369230163777827792, 61730433508795038790116105099788390609014096173, 17638015449386495113545548169216000119, 9767719188486388493851186022400, 523394610793426695803956845331623695274245760, 27461728753955084149456897492586, 14135746418026013982973640516318828850829927, 35682825189020940030850148095927, 523394610793427316872187655903297032802605453, 36303894039155912709642362947680, 26841466486742371816618776908973, 526271441586575546722930055610624112, 27461728753955084149456896000000], 'label': '21499084800000000.gn.480._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744746
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [81605664071207825059165047984085767359401042612, 925553903285560310294218963237, 35378340138118354231526550323812, 112, 1582831605491056521792850297367348480705776642, 83160968465757415390784742896485157149077795213, 1569439871784795773053840799509965757839116212, 21444300499606442615295005407159184428505695987, 26536174850669543778619840303440, 894381750115964444908726799583829939252, 9767719188486388493844480000037, 27461728753955583911497334707237, 7, 35378340135870352775971334918426, 536786370557827456806325451702338886646784087, 8842165285200828560179200000000, 1046045234933228759694866292822792403627094452, 536786370557863760701034563255700156265628106, 9462427606365582961032560681159, 1582832508564285801377170272358011128020688742, 21981085680015272402613529250369230163777827792, 61730433508795038790116105099788390609014096173, 17638015449386495113545548169216000119, 9767719188486388493851186022400, 523394610793426695803956845331623695274245760, 27461728753955084149456897492586, 14135746418026013982973640516318828850829927, 35682825189020940030850148095927, 523394610793427316872187655903297032802605453, 36303894039155912709642362947680, 26841466486742371816618776908973, 526271441586575546722930055610624112, 27461728753955084149456896000000], 'label': '21499084800000000.gn.480._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744747
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [26313083693369353016721801216000010087, 1046046424810847458751060878458202717489484917, 112, 295241022803812223231087939183122370752, 1207515633832665426181023481686801539842, 21966949933605496362756549819753938036002601617, 17637988913211644444021332377600131786, 1569440158589185192126850583090086461505651047, 295241021878258318770436711816617989872, 7, 17637988913211644444021332377600000000, 1569441053242253289560578363271539569177572437, 7134677618745600, 894653068413212180491358966907838044333, 17637988913211645619113378944360050567, 894653068413212180491358966914105066882, 26313083693371835985420404123074560007, 912274611649115469089745559546030243792, 14136927620566385559856070421626583343230112, 1181202550465558914671757661866808269453, 295241021878258318770436335206400000000, 321554105571627671787158136422918924272, 61730433508795039084115580261083898949750096173, 17637989522988411274590588817984313527, 21777740075928374277120148372, 21444300490659985339160559504390973443079890112, 1060181867312755289472940849920358974702227133, 1181202550455073287226433516523374474272, 912274611649115469089744848158720000000], 'label': '21499084800000000.gn.480._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744748
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [17637989522988411274590588817984313527, 7134677618745600, 1060181867312755289472940849920358974702227133, 83174360824933889527402736140959269093263358692, 21994849745969063567832310107400821482661394617, 894653068413212180491358966914105066882, 894653068413212180491358966907838044333, 26313083693369353016721801216000010087, 1207515633832665426181023481686801539842, 912274611649115469089745559546030243792, 912274611649115469089744848158720000000, 112, 21444300490659985339160559504390973443079890112, 295241022803812223231087939183122370752, 295241021878258318770436711816617989872, 1046046424810847458751060878458202717489484917, 82651337608055232734447103645347669753754362880, 17637988913211644444021332377600131786, 1181202550455073287226433516523374474272, 1569441053242253289560578363271539569177572437, 295241021878258318770436335206400000000, 17637988913211645619113378944360050567, 7, 1569440158589185192126850583090086461505651047, 21777740075928374277120148372, 17637988913211644444021332377600000000, 1181202550465558914671757661866808269453, 14136927620566385559856070421626583343230112, 26313083693371835985420404123074560007, 321554105571627671787158136422918924272], 'label': '21499084800000000.gn.480._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744749
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [26313083693369353016721801216000010087, 1046046424810847458751060878458202717489484917, 112, 295241022803812223231087939183122370752, 1207515633832665426181023481686801539842, 21966949933605496362756549819753938036002601617, 17637988913211644444021332377600131786, 1569440158589185192126850583090086461505651047, 295241021878258318770436711816617989872, 7, 17637988913211644444021332377600000000, 1569441053242253289560578363271539569177572437, 7134677618745600, 894653068413212180491358966907838044333, 17637988913211645619113378944360050567, 894653068413212180491358966914105066882, 26313083693371835985420404123074560007, 912274611649115469089745559546030243792, 62762714417546257602799156732673335337900931204, 14136927620566385559856070421626583343230112, 1181202550465558914671757661866808269453, 295241021878258318770436335206400000000, 321554105571627671787158136422918924272, 17637989522988411274590588817984313527, 21777740075928374277120148372, 21444300490659985339160559504390973443079890112, 1060181867312755289472940849920358974702227133, 1181202550455073287226433516523374474272, 912274611649115469089744848158720000000], 'label': '21499084800000000.gn.480._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744750
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [17637989522988411274590588817984313527, 7134677618745600, 1060181867312755289472940849920358974702227133, 83174360824933889527402736140959269093263358692, 894653068413212180491358966914105066882, 894653068413212180491358966907838044333, 26313083693369353016721801216000010087, 61730433508795039084115580261083898949750096173, 1207515633832665426181023481686801539842, 912274611649115469089745559546030243792, 912274611649115469089744848158720000000, 112, 21444300490659985339160559504390973443079890112, 295241022803812223231087939183122370752, 295241021878258318770436711816617989872, 1046046424810847458751060878458202717489484917, 82651337608055232734447103645347669753754362880, 1181202550455073287226433516523374474272, 17637988913211644444021332377600131786, 1569441053242253289560578363271539569177572437, 295241021878258318770436335206400000000, 17637988913211645619113378944360050567, 7, 1569440158589185192126850583090086461505651047, 21777740075928374277120148372, 17637988913211644444021332377600000000, 1181202550465558914671757661866808269453, 14136927620566385559856070421626583343230112, 26313083693371835985420404123074560007, 321554105571627671787158136422918924272], 'label': '21499084800000000.gn.480._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744751
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [26313083693369353016721801216000010087, 1046046424810847458751060878458202717489484917, 112, 295241022803812223231087939183122370752, 1207515633832665426181023481686801539842, 21966949933605496362756549819753938036002601617, 17637988913211644444021332377600131786, 1569440158589185192126850583090086461505651047, 295241021878258318770436711816617989872, 7, 17637988913211644444021332377600000000, 1569441053242253289560578363271539569177572437, 7134677618745600, 894653068413212180491358966907838044333, 17637988913211645619113378944360050567, 894653068413212180491358966914105066882, 21967322839206897629972433444329777494500983617, 26313083693371835985420404123074560007, 912274611649115469089745559546030243792, 14136927620566385559856070421626583343230112, 1181202550465558914671757661866808269453, 295241021878258318770436335206400000000, 321554105571627671787158136422918924272, 17637989522988411274590588817984313527, 21777740075928374277120148372, 21444300490659985339160559504390973443079890112, 1060181867312755289472940849920358974702227133, 1181202550455073287226433516523374474272, 912274611649115469089744848158720000000], 'label': '21499084800000000.gn.480._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744752
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [936846091173129492802793155216, 631554428124277230071955456003, 45383, 271353686880111044600408612474966420, 271094713874594019020455885069479527546858815362, 11292160911545669171208197772, 21457691677580403221802627743437223296189788791, 8946449065522320953166550624324688652, 21777738900856643740299350403, 27527515400255126717746486704255353775907242, 550922116975843724847848331555970205077228838, 3, 8, 126669731356980043555804404514951445243057162860, 41332551418914242750901931622760223564339815219, 1596967360600604699134602828148312067085974921, 126019, 936846064197118407591124588819, 21777816507997091192082483131, 14135755635818388889424520366986888970653361, 609776689223427721003008131767, 2248001455555215405372, 14135746689370248921084357746007147564733447, 936846064197111314758646615043, 672203654200742874013440, 83174359956593913954208385672769982917874132602, 536786379504276544106410033945666983702976653, 711374856318020, 5776, 536786379775629915209177807138694881983488012], 'label': '21499084800000000.gn.8._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744753
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [17637989522988411274590588817984313527, 7134677618745600, 1060181867312755289472940849920358974702227133, 83174360824933889527402736140959269093263358692, 21994849745969063567832310107400821482661394617, 894653068413212180491358966914105066882, 894653068413212180491358966907838044333, 26313083693369353016721801216000010087, 1207515633832665426181023481686801539842, 912274611649115469089745559546030243792, 912274611649115469089744848158720000000, 112, 21444300490659985339160559504390973443079890112, 295241022803812223231087939183122370752, 295241021878258318770436711816617989872, 1046046424810847458751060878458202717489484917, 17637988913211644444021332377600131786, 1181202550455073287226433516523374474272, 1569441053242253289560578363271539569177572437, 21967322839206897629972433444329777494500983617, 295241021878258318770436335206400000000, 17637988913211645619113378944360050567, 7, 1569440158589185192126850583090086461505651047, 21777740075928374277120148372, 17637988913211644444021332377600000000, 1181202550465558914671757661866808269453, 14136927620566385559856070421626583343230112, 26313083693371835985420404123074560007, 321554105571627671787158136422918924272], 'label': '21499084800000000.gn.480._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744754
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [17637989522988411274590588817984313527, 7134677618745600, 1060181867312755289472940849920358974702227133, 83174360824933889527402736140959269093263358692, 894653068413212180491358966914105066882, 894653068413212180491358966907838044333, 26313083693369353016721801216000010087, 61730433508795039084115580261083898949750096173, 1207515633832665426181023481686801539842, 912274611649115469089745559546030243792, 912274611649115469089744848158720000000, 112, 21444300490659985339160559504390973443079890112, 295241022803812223231087939183122370752, 295241021878258318770436711816617989872, 1046046424810847458751060878458202717489484917, 17637988913211644444021332377600131786, 1181202550455073287226433516523374474272, 1569441053242253289560578363271539569177572437, 21967322839206897629972433444329777494500983617, 295241021878258318770436335206400000000, 17637988913211645619113378944360050567, 7, 1569440158589185192126850583090086461505651047, 21777740075928374277120148372, 17637988913211644444021332377600000000, 1181202550465558914671757661866808269453, 14136927620566385559856070421626583343230112, 26313083693371835985420404123074560007, 321554105571627671787158136422918924272], 'label': '21499084800000000.gn.480._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744755
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [20920905298347445617789354208330086600121503360, 21457691069221871927206612167684626841600000000, 20920904698664044470400288964002971648000086467, 41841809397599443226167674350080413582004362352, 20411645834288669703686597719484478259200000000, 41332550532952714174086886683488161301216266147, 536786370557827456806323203681655193600051157, 1046045234933211370170432654771759367962208653, 1046045234933202223520014448219376626826112192, 20920905905653417260752753960961033921284279152, 1046045260991378550164358661888538655933292807, 37, 61730433508795039084115580261083898949750096173, 20411645834560050841003277079589216010839824592, 1046045234933202223520014448200148582919004882, 1046045234933202223520014448200148601121100992, 21457691069221872558761091995989664620422053767, 61207409996683557346521064484857341328591882173, 61716668870005379665204173618332338651791360052, 20920904698664044470400288964002971648000010132, 7, 40809528210982079242769085612283208629422222795, 20411645834288669703689105416442759085198086512, 62253455231616758655779337734133472604589682567, 61716668861058931187680854691810933310831621842, 62253455231616758644487175647490421555200000000], 'label': '21499084800000000.gn.480._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744756
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [20920905298347445617789354208330086600121503360, 21457691069221871927206612167684626841600000000, 20920904698664044470400288964002971648000086467, 41841809397599443226167674350080413582004362352, 20411645834288669703686597719484478259200000000, 41332550532952714174086886683488161301216266147, 536786370557827456806323203681655193600051157, 1046045234933211370170432654771759367962208653, 1046045234933202223520014448219376626826112192, 8954689304600241363354114680075578882, 20920905905653417260752753960961033921284279152, 1046045260991378550164358661888538655933292807, 37, 20411645834560050841003277079589216010839824592, 1046045234933202223520014448200148582919004882, 1046045234933202223520014448200148601121100992, 21457691069221872558761091995989664620422053767, 21457691069221871927206639194799438405059363892, 61207409996683557346521064484857341328591882173, 61716668870005379665204173618332338651791360052, 20920904698664044470400288964002971648000010132, 7, 20411645834288669703689105416442759085198086512, 62253455231616758655779337734133472604589682567, 61716668861058931187680854691810933310831621842, 62253455231616758644487175647490421555200000000, 61716669173658392295090885398320549214457405457], 'label': '21499084800000000.gn.480._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744757
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [20920905298347445617789354208330086600121503360, 21457691069221871927206612167684626841600000000, 20920904698664044470400288964002971648000086467, 41841809397599443226167674350080413582004362352, 20411645834288669703686597719484478259200000000, 41332550532952714174086886683488161301216266147, 536786370557827456806323203681655193600051157, 1046045234933211370170432654771759367962208653, 1046045234933202223520014448219376626826112192, 8954689304600241363354114680075578882, 20920905905653417260752753960961033921284279152, 1046045260991378550164358661888538655933292807, 37, 61730433508795039084115580261083898949750096173, 20411645834560050841003277079589216010839824592, 1046045234933202223520014448200148582919004882, 1046045234933202223520014448200148601121100992, 21457691069221872558761091995989664620422053767, 21457691069221871927206639194799438405059363892, 61207409996683557346521064484857341328591882173, 61716668870005379665204173618332338651791360052, 20920904698664044470400288964002971648000010132, 7, 20411645834288669703689105416442759085198086512, 62253455231616758655779337734133472604589682567, 61716668861058931187680854691810933310831621842, 62253455231616758644487175647490421555200000000], 'label': '21499084800000000.gn.480._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744758
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [20920905298347445617789354208330086600121503360, 21457691069221871927206612167684626841600000000, 20920904698664044470400288964002971648000086467, 41841809397599443226167674350080413582004362352, 20411645834288669703686597719484478259200000000, 41332550532952714174086886683488161301216266147, 536786370557827456806323203681655193600051157, 1046045234933211370170432654771759367962208653, 1046045234933202223520014448219376626826112192, 20920905905653417260752753960961033921284279152, 1046045260991378550164358661888538655933292807, 37, 20411645834560050841003277079589216010839824592, 1046045234933202223520014448200148582919004882, 1046045234933202223520014448200148601121100992, 21457691069221872558761091995989664620422053767, 61207409996683557346521064484857341328591882173, 61716668870005379665204173618332338651791360052, 20920904698664044470400288964002971648000010132, 7, 41318787370861596967835432402411182586340983577, 40809528210982079242769085612283208629422222795, 20411645834288669703689105416442759085198086512, 62253455231616758655779337734133472604589682567, 61716668861058931187680854691810933310831621842, 62253455231616758644487175647490421555200000000], 'label': '21499084800000000.gn.480._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744759
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [20920905298347445617789354208330086600121503360, 21457691069221871927206612167684626841600000000, 20920904698664044470400288964002971648000086467, 41841809397599443226167674350080413582004362352, 20411645834288669703686597719484478259200000000, 41332550532952714174086886683488161301216266147, 536786370557827456806323203681655193600051157, 1046045234933211370170432654771759367962208653, 1046045234933202223520014448219376626826112192, 20920905905653417260752753960961033921284279152, 1046045260991378550164358661888538655933292807, 37, 20411645834560050841003277079589216010839824592, 1046045234933202223520014448200148582919004882, 1046045234933202223520014448200148601121100992, 21457691069221872558761091995989664620422053767, 21457691069221871927206639194799438405059363892, 61207409996683557346521064484857341328591882173, 61716668870005379665204173618332338651791360052, 20920904698664044470400288964002971648000010132, 7, 41318787370861596967835432402411182586340983577, 20411645834288669703689105416442759085198086512, 62253455231616758655779337734133472604589682567, 61716668861058931187680854691810933310831621842, 62253455231616758644487175647490421555200000000, 61716669173658392295090885398320549214457405457], 'label': '21499084800000000.gn.480._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744760
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [20920905298347445617789354208330086600121503360, 21457691069221871927206612167684626841600000000, 20920904698664044470400288964002971648000086467, 41841809397599443226167674350080413582004362352, 20411645834288669703686597719484478259200000000, 41332550532952714174086886683488161301216266147, 536786370557827456806323203681655193600051157, 1046045234933211370170432654771759367962208653, 1046045234933202223520014448219376626826112192, 20920905905653417260752753960961033921284279152, 1046045260991378550164358661888538655933292807, 37, 61730433508795039084115580261083898949750096173, 20411645834560050841003277079589216010839824592, 1046045234933202223520014448200148582919004882, 1046045234933202223520014448200148601121100992, 21457691069221872558761091995989664620422053767, 21457691069221871927206639194799438405059363892, 61207409996683557346521064484857341328591882173, 61716668870005379665204173618332338651791360052, 20920904698664044470400288964002971648000010132, 7, 41318787370861596967835432402411182586340983577, 20411645834288669703689105416442759085198086512, 62253455231616758655779337734133472604589682567, 61716668861058931187680854691810933310831621842, 62253455231616758644487175647490421555200000000], 'label': '21499084800000000.gn.480._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744761
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [21777738900836704321536000000, 1492560, 41332550541907403478687747422327109491650370734, 7224940800, 363600, 13516122267648000, 26584437368957224469706744791040000000, 486957011853312000, 550922116975843703070107182711386931200000000, 52879125147719270400000, 894653068413212180491358966906880000000, 83188495676698819361151248590523124940800000000, 27145951539892951936794624000000, 41332551731250581263845786799276977654355223120, 180623520000, 2534672732080677027840000, 41318787370861596967836671000140746997376833941], 'label': '21499084800000000.gn.480._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744762
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [21777738900836704321536000000, 1492560, 7224940800, 363600, 13516122267648000, 26584437368957224469706744791040000000, 486957011853312000, 550922116975843703070107182711386931200000000, 52879125147719270400000, 894653068413212180491358966906880000000, 83188495676698819361151248590523124940800000000, 27145951539892951936794624000000, 41332550541907403478687747422327109491650370640, 41332551731250581263845786799276977654355223120, 180623520000, 2534672732080677027840000, 41318787370861596967836671000140746997376833941], 'label': '21499084800000000.gn.480._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744763
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [305291661975960951948410563211, 1569439872311031226525452648760968934826579081, 6706144088, 609776767903485088745453270888, 17637989850057761520258506249533271044, 41869336921148531165173758418211231048735148753, 418728549753686823350924447768089993866687873270, 52879125524348648579764, 21777817580900830125115090576, 27527532766890995896000481136975609997296004, 631554430372278685640582986803, 21457691069748134537920091576489562772887465642, 774582725745220355860714510492298985929598223401, 4, 536786379249368230049655636203949190065756252, 27527523820442518372654578590633802589981452, 126003, 550922125922292170107849295046232106001398932, 376629378179760, 19228051132063927, 5760, 19160074095, 6758068358855543, 958013299, 526261989644601122486588112580204812, 550922143560281997583150286322656738395904001, 321809013569908456442676703614831620451, 40795764188707979862592588925235827106807532896, 20, 61716669174184645736974939656185929442551363245], 'label': '21499084800000000.gn.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744764
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1189877644929939358653768587415469781780, 7134672309811212, 915068379248809263849802204091, 815915277138084636912617251823493825192174964465, 10087, 711381562340400, 1046046120894730201043869422181566056665389442, 17366635858692650102154582107011107840, 4, 1596968237870573904113976605277806779317277533, 10084, 61716670059628116259309060278669828389592333383, 1046045538849318893229523454968843599736821154, 915068326471379796520630551604, 52879144375775631519380, 41332550854506828587879843671487327966541500260, 958129212, 27527506182452995384346712067377315354882480, 271354590656274356407470919084956724, 41332551418914242750901931622760223564339815219, 82128687870131858392191863116071605742733264099, 27527506182452995384296183132703985007925684, 51123, 1175098428010969948823, 621068852382987315730925859855, 12972960007, 925553930261597339747146624096, 82114924134407257528738486536563217376304140808, 599157165987917523254470393838572531223, 27527506182453299869349333700730800832569607, 131780, 21777818755979695314127748415], 'label': '21499084800000000.gn.8._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744765
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [21777738900836704321536000000, 1492560, 41332550541907403478687747422327109491650370734, 7224940800, 363600, 13516122267648000, 26584437368957224469706744791040000000, 486957011853312000, 550922116975843703070107182711386931200000000, 52879125147719270400000, 894653068413212180491358966906880000000, 83188495676698819361151248590523124940800000000, 27145951539892951936794624000000, 41318787370861596967836671000140746997376834000, 41332551731250581263845786799276977654355223120, 180623520000, 2534672732080677027840000], 'label': '21499084800000000.gn.480._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744766
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [81605664071207825059165047984085767359401042612, 925553903285560310294218963237, 35378340138118354231526550323812, 112, 1582831605491056521792850297367348480705776642, 83160968465757415390784742896485157149077795213, 1569439871784795773053840799509965757839116212, 21444300499606442615295005407159184428505695987, 26536174850669543778619840303440, 894381750115964444908726799583829939252, 9767719188486388493844480000037, 27461728753955583911497334707237, 7, 35378340135870352775971334918426, 536786370557827456806325451702338886646784087, 8842165285200828560179200000000, 1046045234933228759694866292822792403627094452, 536786370557863760701034563255700156265628106, 9462427606365582961032560681159, 1582832508564285801377170272358011128020688742, 21966950246196707507330810574295702578466601542, 21981085680015272402613529250369230163777827792, 17638015449386495113545548169216000119, 9767719188486388493851186022400, 523394610793426695803956845331623695274245760, 27461728753955084149456897492586, 14135746418026013982973640516318828850829927, 35682825189020940030850148095927, 523394610793427316872187655903297032802605453, 36303894039155912709642362947680, 26841466486742371816618776908973, 526271441586575546722930055610624112, 27461728753955084149456896000000], 'label': '21499084800000000.gn.480._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744767
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 240, 'diagramx': None, 'generators': [81605664071207825059165047984085767359401042612, 83174360833608992844434093841647831973775358666, 925553903285560310294218963237, 35378340138118354231526550323812, 112, 1582831605491056521792850297367348480705776642, 83160968465757415390784742896485157149077795213, 1569439871784795773053840799509965757839116212, 21444300499606442615295005407159184428505695987, 26536174850669543778619840303440, 894381750115964444908726799583829939252, 9767719188486388493844480000037, 27461728753955583911497334707237, 7, 35378340135870352775971334918426, 536786370557827456806325451702338886646784087, 8842165285200828560179200000000, 1046045234933228759694866292822792403627094452, 536786370557863760701034563255700156265628106, 9462427606365582961032560681159, 83160968787558180206536879890864162409206377639, 21981085680015272402613529250369230163777827792, 21994849728602428929499648350500407157925394662, 17638015449386495113545548169216000119, 9767719188486388493851186022400, 523394610793426695803956845331623695274245760, 27461728753955084149456897492586, 14135746418026013982973640516318828850829927, 35682825189020940030850148095927, 523394610793427316872187655903297032802605453, 36303894039155912709642362947680, 26841466486742371816618776908973, 526271441586575546722930055610624112, 27461728753955084149456896000000], 'label': '21499084800000000.gn.480._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744768
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 480, 'diagramx': None, 'generators': [26058175695089837409372308766720000078, 53952034933325168640000, 493715072987136000, 365290988654592056, 523394610793391012977475223548225126400000000, 61207782285506312502628696696857952198823734341, 82665101074860117652773960778294081169306616240, 12972960056, 327069374973677170458624000000, 274467916878, 806400, 1888372313608552611840000, 40823291668577339407373195438968956518400000000, 56, 62239692095304231766437905894827827389771881774, 5816, 23, 8842165285200828560179200000000, 1207515633527373787860181183365120000056], 'label': '21499084800000000.gn.480._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '480.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '480._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744775
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353697365637329851919394748435771, 774045567945488235814786802198937663230968494714, 305291715927983457484140897127, 616523783248017910036856477486535009135, 19, 711729836375055, 268280938807, 147067614298097266864003384774051071310039747908, 1073573627077183794912745621101710125424220263, 80659, 519040103, 19939425470053220, 271371686181233906073157879466016089, 10087, 621068929990116004556070992660, 1569439863364582455000823067742454882391878328, 27527506708714375252179931286557569020213824, 52879125147987551334500, 1175092381592893296000, 523394610793391644531929250933136436623149924, 4, 21777791779962229006443692891, 1046045261246286842443349430532828077799123223, 271353697365662057868641789754941303, 14135746418016877818263807328346207911516243, 41332551418914242750901931622760223564339815219, 1181202577273955475800834448027692815940, 17637988924503807603567745996929305543, 21444299926507471258613940175395585018730320554, 550922117247223914833503757113111619876432674, 121680, 1582831605491029702104076552718884888377594736], 'label': '21499084800000000.gn.8._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744776
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1679616, 'diagramx': None, 'generators': [669921237406237734292552899798665144100231918106, 262853009362944000, 565741479851551364116534567197748329487672234181, 18609077890764963842752512000000, 1198569185071628207834495770951680000000, 280734854400, 454320, 1206989371853506400799846747340800000000, 523394610793391012977475223548225126400000000, 2561648749547339612160000, 121666023198720000, 2535745641866282926080000, 108, 806400, 86, 775119512975163515351642386217485094921131358069, 82665101065905428348173773366974899814400000000, 35988116825093780496973824000000, 368392147200], 'label': '21499084800000000.gn.1679616._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1679616._.A', 'old_label': '1679616.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1679616._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744777
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100000000, 'diagramx': None, 'generators': [5760, 59, 1596967351909045926590121630911535513600000000, 384853797199872000, 1941149256871928463360000, 77607141158826639360000, 371337674932224000, 585092945599125446927699270769002350514001039466, 60, 61716668861058931187680852443808766361600000000, 621068850134972678799360000000, 181062604800, 18598592312775672096227328000000, 732754308385267960082111929923017133721770926591, 26313083693369353016721801216000000000, 616523773774298119104609528053760000000, 281173939200, 709670955742962458211936977429866559029359061746, 367920], 'label': '21499084800000000.gn.100000000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100000000._.A', 'old_label': '100000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100000000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744778
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': '2562890625.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': 2562890625, 'diagramx': None, 'generators': [903328163193371181664896379994112000000, 903328163193371181665152474942341926400, 20397882376430260702433968740771489251328000002, 62239691773758349643234546668777432547328000002, 271603973042877278776051824415810847568231063024, 104689017939474398689420676125469387191259777964, 41841810005160331110283495804399858089984000060, 20397882081460574206462844720488467529728000002, 903328163193371181665152475129151744000, 20397882376430251240006416327223461543936000002, 104675254186383172344364647975323085134777213486, 104675254186383172344364647975201795721796477486, 271603973042877278776051824415810847755041687024, 460556595094007560130716380468880218100694575980, 229762163645286040705024643636614145979818621486, 607832251610132731389105238179840000000, 229762163645549171541949950460572268720159383084, 41841810005160340550933929765634559902866846080], 'label': '21499084800000000.gn.2562890625.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2562890625.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2562890625.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744779
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': '55037657088.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': 1679616, 'diagramx': None, 'generators': [194035564800, 454320, 21994478030516651138810409272034622376280185520, 321282751896039800334173192847360000096, 82637573559722993973159557011864591453937664000, 27439951015054631964167922515760, 321282751896039800334173192847360000000, 35367047974958807818174465170000], 'label': '21499084800000000.gn.55037657088.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55037657088.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55037657088.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744780
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': '3276800000000.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': 100000000, 'diagramx': None, 'generators': [1189622736615884516181143195234870368184, 27528695805189305977148140287128995763225520, 17999301201541543256520967264080, 19228043907123120, 26830176214203152560990884908880, 27527506182452690092631959163161804800051120, 14135746418016246263783979029731737600000000, 27527506182479520266957789990020608503859120], 'label': '21499084800000000.gn.3276800000000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '128.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3276800000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3276800000000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744781
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': '21499084800000000.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': '21499084800000000.gn.21499084800000000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21499084800000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21499084800000000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744782
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271353697365637329851919394748435771, 305291715927983457484140897127, 616523783248017910036856477486535009135, 19, 711729836375055, 268280938807, 1073573627077183794912745621101710125424220263, 80659, 519040103, 19939425470053220, 271371686181233906073157879466016089, 10087, 621068929990116004556070992660, 1569439863364582455000823067742454882391878328, 27527506708714375252179931286557569020213824, 52879125147987551334500, 1175092381592893296000, 523394610793391644531929250933136436623149924, 4, 21777791779962229006443692891, 1046045261246286842443349430532828077799123223, 271353697365662057868641789754941303, 14135746418016877818263807328346207911516243, 126669731356980043555804404514951445243057162860, 41332551418914242750901931622760223564339815219, 82128687870131858392191863116071605742733264099, 1181202577273955475800834448027692815940, 17637988924503807603567745996929305543, 21444299926507471258613940175395585018730320554, 550922117247223914833503757113111619876432674, 121680, 1582831605491029702104076552718884888377594736], 'label': '21499084800000000.gn.8._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744783
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1189877644929939358653768587415469781780, 7134672309811212, 915068379248809263849802204091, 10087, 711381562340400, 1046046120894730201043869422181566056665389442, 17366635858692650102154582107011107840, 774582725745220355860714510492298985929598223401, 4, 1596968237870573904113976605277806779317277533, 10084, 61716670059628116259309060278669828389592333383, 1046045538849318893229523454968843599736821154, 915068326471379796520630551604, 52879144375775631519380, 41332550854506828587879843671487327966541500260, 958129212, 27527506182452995384346712067377315354882480, 271354590656274356407470919084956724, 27527506182452995384296183132703985007925684, 51123, 1583204797123900341524948650280936820078396287, 1175098428010969948823, 621068852382987315730925859855, 12972960007, 925553930261597339747146624096, 82114924134407257528738486536563217376304140808, 599157165987917523254470393838572531223, 27527506182453299869349333700730800832569607, 131780, 21777818755979695314127748415, 61716669174184645736974939656185929442551363245], 'label': '21499084800000000.gn.8._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744784
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [19678988167, 7224940800, 19678982412, 53952406647629997916811, 621068852382974845748152657220, 27527524075350516652194914436336303771728648, 14135773002454540774938710806880574314378168, 1582831623129018615316963068885402050488198331, 82128687870131858392191863116071605742733264099, 2248001455561921504084, 493338475223319611, 925553903285559933665280806473, 1060181893099569066100808199004178362030597208, 77607141158839093411695, 86400, 271354285364560676905668282885052811, 1060181007664303088707082880870800430113520000, 26058175695089863312480701205487258167, 519004803, 77607390872324910774983, 62240064062844208805688569924337899139504236254, 35988118091893710872734358844735, 18620370053924510256285142735940, 21777741149209874161901648652, 4, 167437968577879485627608346737406718428431647391, 25903108392451221299772, 936846141804246050563259007375], 'label': '21499084800000000.gn.8._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744785
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [271354285364560676905668282885052811, 519004803, 77607141158839093411695, 86400, 14135773002454540774938710806880574314378168, 82114551541405326526463373568361705898868844189, 616778718076471751424172016247567921851, 53952406647629997916811, 25903108392451221299772, 936846141804246050563259007375, 1060181007664303088707082880870800430113520000, 21777741149209874161901648652, 621068852382974845748152657220, 4, 167437968577879485627608346737406718428431647391, 2248001455561921504084, 925553903285559933665280806473, 19678988167, 7224940800, 1582831623129018615316963068885402050488198331, 62240064062844208805688569924337899139504236254, 1060181893099569066100808199004178362030597208, 18620370053924510256285142735940, 35988118091893710872734358844735, 19678982412, 493338475223319611, 83174732531974329149650660082744939130063961535, 26058175695089863312480701205487258167, 77607390872324910774983, 27527524075350516652194914436336303771728648], 'label': '21499084800000000.gn.8._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744786
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1189877644929939358653768587415469781780, 7134672309811212, 915068379248809263849802204091, 815915277138084636912617251823493825192174964465, 10087, 711381562340400, 1046046120894730201043869422181566056665389442, 61744568360576414922243764730455445437324094111, 17366635858692650102154582107011107840, 4, 1596968237870573904113976605277806779317277533, 10084, 61716670059628116259309060278669828389592333383, 1046045538849318893229523454968843599736821154, 915068326471379796520630551604, 52879144375775631519380, 41332550854506828587879843671487327966541500260, 958129212, 27527506182452995384346712067377315354882480, 271354590656274356407470919084956724, 41332551418914242750901931622760223564339815219, 27527506182452995384296183132703985007925684, 51123, 1175098428010969948823, 621068852382987315730925859855, 12972960007, 925553930261597339747146624096, 82114924134407257528738486536563217376304140808, 599157165987917523254470393838572531223, 27527506182453299869349333700730800832569607, 131780, 21777818755979695314127748415], 'label': '21499084800000000.gn.8._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744787
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1189877644929939358653768587415469781780, 7134672309811212, 915068379248809263849802204091, 10087, 711381562340400, 1046046120894730201043869422181566056665389442, 17366635858692650102154582107011107840, 774582725745220355860714510492298985929598223401, 4, 1596968237870573904113976605277806779317277533, 10084, 61716670059628116259309060278669828389592333383, 1046045538849318893229523454968843599736821154, 915068326471379796520630551604, 52879144375775631519380, 41332550854506828587879843671487327966541500260, 958129212, 27527506182452995384346712067377315354882480, 271354590656274356407470919084956724, 41332551418914242750901931622760223564339815219, 82128687870131858392191863116071605742733264099, 27527506182452995384296183132703985007925684, 51123, 1175098428010969948823, 621068852382987315730925859855, 12972960007, 925553930261597339747146624096, 82114924134407257528738486536563217376304140808, 599157165987917523254470393838572531223, 27527506182453299869349333700730800832569607, 131780, 21777818755979695314127748415], 'label': '21499084800000000.gn.8._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744788
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [936846091173129492802793155216, 631554428124277230071955456003, 45383, 271353686880111044600408612474966420, 271094713874594019020455885069479527546858815362, 11292160911545669171208197772, 61744568360576414922243764730455445437324094111, 21457691677580403221802627743437223296189788791, 8946449065522320953166550624324688652, 21777738900856643740299350403, 27527515400255126717746486704255353775907242, 550922116975843724847848331555970205077228838, 3, 8, 1596967360600604699134602828148312067085974921, 41332551418914242750901931622760223564339815219, 126019, 936846064197118407591124588819, 21777816507997091192082483131, 14135755635818388889424520366986888970653361, 609776689223427721003008131767, 2248001455555215405372, 14135746689370248921084357746007147564733447, 936846064197111314758646615043, 672203654200742874013440, 83174359956593913954208385672769982917874132602, 536786379504276544106410033945666983702976653, 711374856318020, 5776, 536786379775629915209177807138694881983488012], 'label': '21499084800000000.gn.8._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744789
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135746418042782439307924989886510252610560, 550922116975843703070158886744864708378220800, 958003200, 526261673867387060334436024320080696, 321809013896976562368319604865552429364, 271353675587871452984943575040000016, 616778718076471751424172016247567921851, 94, 1060180981351218469784444727648352464094982400, 26841466486742364681928704000016, 19939418763264000, 35682825189020940030836736010080, 13412044800, 631554428124284364743307305095, 305291636073206133735960576000, 6423296495657063, 1175091669956542060800, 3, 61730804607476947433944664573947634717807462400, 90823, 14135746418016246263809882137412806740121600, 5760, 11292160911545334406570105684, 23, 6266937600, 936846064197124830880396403144, 26976017466662584320000, 27527506182452690094494428369089668159904000, 13516122268741762, 26313084314438203152187818478130326427, 526261673867387060334436024320131783, 376610218074814, 526297346206998092001948379779198077, 90720, 19939418764806359, 2484041608388512972800000, 480418063684198642410378157715673860980356274627], 'label': '21499084800000000.gn.8._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744790
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [305291661975960951948410563211, 1569439872311031226525452648760968934826579081, 6706144088, 609776767903485088745453270888, 17637989850057761520258506249533271044, 41869336921148531165173758418211231048735148753, 27527532766890995896000481136975609997296004, 52879125524348648579764, 21777817580900830125115090576, 631554430372278685640582986803, 21457691069748134537920091576489562772887465642, 774582725745220355860714510492298985929598223401, 4, 536786379249368230049655636203949190065756252, 27527523820442518372654578590633802589981452, 126003, 550922125922292170107849295046232106001398932, 376629378179760, 19228051132063927, 5760, 82128687870131858392191863116071605742733264099, 460033945060596504655605827618659037755418115851, 19160074095, 6758068358855543, 958013299, 526261989644601122486588112580204812, 550922143560281997583150286322656738395904001, 321809013569908456442676703614831620451, 40795764188707979862592588925235827106807532896, 20], 'label': '21499084800000000.gn.2._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744791
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [526261673867387060334436024320080696, 321809013896976562368319604865552429364, 271353675587871452984943575040000016, 616778718076471751424172016247567921851, 418728549753686823350924447768089993866687873270, 99672249600, 94, 26841466486742364681928704000016, 19939418763264000, 35682825189020940030836736010080, 13412044800, 631554428124284364743307305095, 305291636073206133735960576000, 6423296495657063, 3, 7224940800, 90823, 14135746418016246263809882137412806740121600, 61730804607476947433944636422838498100158003200, 5760, 8946448455748088795309812314516740459, 11292160911545334406570105684, 518918400, 23, 1175091669968477184000, 936846064197124830880396403144, 550922116975843703072047259058473621638348800, 13516122268741762, 26313084314438203152187818478130326427, 526261673867387060334436024320131783, 376610218074814, 526297346206998092001948379779198077, 1569439845726593236497516647765840390105299200, 78680050944433495603200, 90720, 19939418764806359], 'label': '21499084800000000.gn.8._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744792
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 6423296495621760, 19, 6423296495616000, 35672342119801279107228389386080, 53952034933331435709360, 305291636072846889615165270960, 616778718076471751424172016247567921851, 26851952064731675656497795152640, 291988463659279936210420804956823998412329626349, 376610217984000, 17637988913211644444021332377600000000, 526288504041712891154871531529326720, 305291636072846889453262598400, 418715158602017742502619803771672177447776394080, 2248001455822977295440, 82128314695618954882732535678423582215741843200, 936846064197118407584857696560, 1134720, 599157165388628919614861101996781578080, 26830174325830839663551115264000, 82114922935583182436354252711928176273875917442, 21777738900837080931753984000, 45, 82128314990843548767208373279850648752065327440, 6266937600, 305291636072846889433583616000, 305291636072846889453262598403, 2508769624399620341760000, 1207515633527373787860181183365120000000, 41040, 35672339613280137032004426177120, 1582831605491029985618027676763626727829908332, 295241021878258318770436335206400000000, 6266937664, 21777738900856267130081280000], 'label': '21499084800000000.gn.8._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744793
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 6423296495621760, 19, 6423296495616000, 35672342119801279107228389386080, 53952034933331435709360, 305291636072846889615165270960, 616778718076471751424172016247567921851, 26851952064731675656497795152640, 709656820013911085728879616875190875181402948457, 376610217984000, 17637988913211644444021332377600000000, 355881715324955126694998552889343162039417688987, 1206989407525847900203828203013509125760, 526288504041712891154871531529326720, 305291636072846889453262598400, 295241021878260207142749943759011840000, 2248001455822977295440, 82128314695618954882732535678423582215741843200, 936846064197118407584857696560, 1134720, 82114922935583182436354252711928176273875917442, 26830174325830839663551115264000, 21777738900837080931753984000, 45, 6266937600, 305291636072846889433583616000, 1198824128448249746509419978342505640880, 305291636072846889453262598403, 1207515633527373787860181183365120000000, 41040, 35672339613280137032004426177120, 1582831605491029985618027676763626727829908332, 20398254370020198514738255733624522073583307520, 295241021878258318770436335206400000000, 6266937664, 21777738900856267130081280000], 'label': '21499084800000000.gn.8._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744794
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 6423296495621760, 19, 6423296495616000, 35672342119801279107228389386080, 53952034933331435709360, 305291636072846889615165270960, 616778718076471751424172016247567921851, 26851952064731675656497795152640, 709656820013911085728879616875190875181402948457, 376610217984000, 17637988913211644444021332377600000000, 774582725745220355860714510492298985929598223401, 1206989407525847900203828203013509125760, 526288504041712891154871531529326720, 305291636072846889453262598400, 295241021878260207142749943759011840000, 2248001455822977295440, 82128314695618954882732535678423582215741843200, 936846064197118407584857696560, 1134720, 82114922935583182436354252711928176273875917442, 26830174325830839663551115264000, 21777738900837080931753984000, 45, 6266937600, 305291636072846889433583616000, 1198824128448249746509419978342505640880, 305291636072846889453262598403, 1207515633527373787860181183365120000000, 41040, 35672339613280137032004426177120, 1582831605491029985618027676763626727829908332, 20398254370020198514738255733624522073583307520, 295241021878258318770436335206400000000, 6266937664, 21777738900856267130081280000], 'label': '21499084800000000.gn.8._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744795
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 958008960, 61730804607476948359498539708399143145603255600, 616778718076471751424172016247567921851, 35672339613280137031911020815440, 53952034933325168640000, 912274611649115469089744848159240491600, 312862565114161607368822216458240000000, 480445590322049307009770781877923328798566317549, 621068850134986194941306762160, 21777738900836704322054963760, 82114922935583165079093057283461645972464665703, 9217802131333451478670355988480000000, 131760, 26525689272680232469266432000000, 2248001455822977295440, 526261673867387060334436024320000000, 5760, 912274611649117357462071638069920130640, 45, 61730804607476948043721325646272977338217334880, 6267069379, 599412046534953861720922631700480000000, 305291636072846889453262598403, 13181358587494320, 41040, 327069374973683928533170000560, 1582831605491029985618027676763626727829908332, 912274611670895716760212375397613826560, 82128315581309164835232899026817826109857926400, 6267028320, 6266937664, 376611175992960], 'label': '21499084800000000.gn.8._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744796
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 6423296495621760, 19, 6423296495616000, 35672342119801279107228389386080, 53952034933331435709360, 305291636072846889615165270960, 26851952064731675656497795152640, 187849986726506343431583368536820340047585199321, 376610217984000, 17637988913211644444021332377600000000, 526288504041712891154871531529326720, 305291636072846889453262598400, 397214264963789256946623507062321540021647239598, 2248001455822977295440, 82128314695618954882732535678423582215741843200, 936846064197118407584857696560, 1134720, 599157165388628919614861101996781578080, 26830174325830839663551115264000, 82114922935583182436354252711928176273875917442, 21777738900837080931753984000, 45, 82128314990843548767208373279850648752065327440, 6266937600, 305291636072846889433583616000, 305291636072846889453262598403, 2508769624399620341760000, 1207515633527373787860181183365120000000, 41040, 35672339613280137032004426177120, 1582831605491029985618027676763626727829908332, 295241021878258318770436335206400000000, 6266937664, 21777738900856267130081280000], 'label': '21499084800000000.gn.8._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744797
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 6423296495621760, 19, 6423296495616000, 35672342119801279107228389386080, 53952034933331435709360, 305291636072846889615165270960, 26851952064731675656497795152640, 709656820013911085728879616875190875181402948457, 376610217984000, 17637988913211644444021332377600000000, 774582725745220355860714510492298985929598223401, 1206989407525847900203828203013509125760, 526288504041712891154871531529326720, 305291636072846889453262598400, 295241021878260207142749943759011840000, 2248001455822977295440, 82128314695618954882732535678423582215741843200, 936846064197118407584857696560, 1134720, 82114922935583182436354252711928176273875917442, 26830174325830839663551115264000, 21777738900837080931753984000, 45, 6266937600, 305291636072846889433583616000, 1198824128448249746509419978342505640880, 305291636072846889453262598403, 1207515633527373787860181183365120000000, 41040, 35672339613280137032004426177120, 418715157698960942131488100907748147989696871611, 1582831605491029985618027676763626727829908332, 20398254370020198514738255733624522073583307520, 295241021878258318770436335206400000000, 6266937664, 21777738900856267130081280000], 'label': '21499084800000000.gn.8._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744798
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 6423296495621760, 19, 6423296495616000, 35672342119801279107228389386080, 53952034933331435709360, 305291636072846889615165270960, 26851952064731675656497795152640, 376610217984000, 17637988913211644444021332377600000000, 526288504041712891154871531529326720, 305291636072846889453262598400, 418715158602017742502619803771672177447776394080, 397214264963789256946623507062321540021647239598, 2248001455822977295440, 82128314695618954882732535678423582215741843200, 936846064197118407584857696560, 1134720, 599157165388628919614861101996781578080, 26830174325830839663551115264000, 82114922935583182436354252711928176273875917442, 21777738900837080931753984000, 45, 82128314990843548767208373279850648752065327440, 6266937600, 305291636072846889433583616000, 305291636072846889453262598403, 2508769624399620341760000, 1207515633527373787860181183365120000000, 41040, 35672339613280137032004426177120, 1582831605491029985618027676763626727829908332, 295241021878258318770436335206400000000, 6266937664, 21777738900856267130081280000], 'label': '21499084800000000.gn.8._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744799
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 13516122267648000, 958003200, 19, 86400, 500292922566147195648708449054238402019749098239, 315085578578767851997293614634077371681007735150, 376610217984000, 147040086514040445499914037615228886845807365088, 4, 894907976411491696098708459356160000000, 18620370051676880138230063293364, 78680050944613600336560, 894907976411493558568407390550737125040, 26058175695089837409373020141577326720, 268280903520, 2248001455822977295440, 372049049788506720, 1134720, 526261673867387060334436024320000000, 5760, 82114922935583182436354252711928176273875917442, 45, 21777738901208042177530838880, 6266937600, 53952034933331435709375, 305291636072846889453262598403, 82128315590255578239705830958849319460925545520, 25903107681062953017604, 1582831605491029985618027676763626727829908332, 6266937664, 354980102400, 925553956164935129927675958960, 2508769624399621299763200, 599157138536674346113573139251201134720], 'label': '21499084800000000.gn.8._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744800
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 13516122267648000, 958003200, 19, 86400, 815915277138084636912617251823493825192174964465, 315085578578767851997293614634077371681007735150, 376610217984000, 4, 894907976411491696098708459356160000000, 18620370051676880138230063293364, 78680050944613600336560, 894907976411493558568407390550737125040, 26058175695089837409373020141577326720, 268280903520, 2248001455822977295440, 372049049788506720, 1134720, 526261673867387060334436024320000000, 5760, 82114922935583182436354252711928176273875917442, 45, 21777738901208042177530838880, 6266937600, 53952034933331435709375, 305291636072846889453262598403, 82128315590255578239705830958849319460925545520, 25903107681062953017604, 1582831605491029985618027676763626727829908332, 6266937664, 354980102400, 925553956164935129927675958960, 2508769624399621299763200, 599157138536674346113573139251201134720], 'label': '21499084800000000.gn.8._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744801
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1569439872311031226525452648760968934826579081, 305291661975960951948410563211, 6706144088, 17637989850057761520258506249533271044, 609776767903485088745453270888, 41869336921148531165173758418211231048735148753, 27527532766890995896000481136975609997296004, 21777817580900830125115090576, 52879125524348648579764, 631554430372278685640582986803, 480445590322049307009770781877923328798566317549, 21457691069748134537920091576489562772887465642, 536786379249368230049655636203949190065756252, 4, 27527523820442518372654578590633802589981452, 126003, 550922125922292170107849295046232106001398932, 376629378179760, 19228051132063927, 5760, 19160074095, 958013299, 6758068358855543, 550922143560281997583150286322656738395904001, 526261989644601122486588112580204812, 321809013569908456442676703614831620451, 40795764188707979862592588925235827106807532896, 20, 61716669174184645736974939656185929442551363245], 'label': '21499084800000000.gn.2._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744802
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 6423296495621760, 19, 6423296495616000, 35672342119801279107228389386080, 53952034933331435709360, 305291636072846889615165270960, 26851952064731675656497795152640, 709656820013911085728879616875190875181402948457, 376610217984000, 17637988913211644444021332377600000000, 355881715324955126694998552889343162039417688987, 1206989407525847900203828203013509125760, 526288504041712891154871531529326720, 305291636072846889453262598400, 295241021878260207142749943759011840000, 2248001455822977295440, 82128314695618954882732535678423582215741843200, 936846064197118407584857696560, 1134720, 82114922935583182436354252711928176273875917442, 26830174325830839663551115264000, 21777738900837080931753984000, 45, 6266937600, 305291636072846889433583616000, 1198824128448249746509419978342505640880, 305291636072846889453262598403, 1207515633527373787860181183365120000000, 41040, 35672339613280137032004426177120, 418715157698960942131488100907748147989696871611, 1582831605491029985618027676763626727829908332, 20398254370020198514738255733624522073583307520, 295241021878258318770436335206400000000, 6266937664, 21777738900856267130081280000], 'label': '21499084800000000.gn.8._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744803
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 915068325296281703282042762160, 6423296495616000, 11292160911551715876206844240, 82128314695347601828213514360411652467232567600, 8946448455745580025698593771070539440, 53952034933325168640000, 711374856233040, 335497596693204136930856621180066225674926265064, 131760, 61730804607476947433944636422838498105906103040, 2248001455822977295440, 1134720, 526261673867387060334436024320000000, 5760, 21777738900856267130081321040, 1181202549855784062116609695023788335920, 518918400, 45, 19562808545280000, 885961527967038276984581520861860104320, 6267069379, 305291636072846889453262598403, 8946448455745580025685412413440000000, 2508769624399620341770080, 61730804624843591839998350310444943319233539120, 41040, 925553903285803935253407897600, 1582831605491029985618027676763626727829908332, 6267028320, 6266937664, 17705301726380625132448035777120, 27451244442765844402870384419840, 106244322039054321439032167447877011745056098511], 'label': '21499084800000000.gn.8._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744804
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 915068325296281703282042762160, 6423296495616000, 11292160911551715876206844240, 82128314695347601828213514360411652467232567600, 8946448455745580025698593771070539440, 794966844064906377250265591559196014635385252460, 605518354578673109964896892688032822604292650903, 53952034933325168640000, 711374856233040, 131760, 61730804607476947433944636422838498105906103040, 2248001455822977295440, 1134720, 526261673867387060334436024320000000, 5760, 21777738900856267130081321040, 1181202549855784062116609695023788335920, 518918400, 45, 19562808545280000, 885961527967038276984581520861860104320, 6267069379, 305291636072846889453262598403, 2508769624399620341770080, 8946448455745580025685412413440000000, 61730804624843591839998350310444943319233539120, 41040, 925553903285803935253407897600, 1582831605491029985618027676763626727829908332, 6267028320, 6266937664, 17705301726380625132448035777120, 27451244442765844402870384419840, 106244322039054321439032167447877011745056098511], 'label': '21499084800000000.gn.8._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744805
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1175092046560493148244, 28151358850116439666580, 5767, 16, 1073572741115655523389413238182615095284617100, 376610737024099, 21777738901330042797717237852, 14135746418016562041077896676607844927180881, 315777214062625551125999196325, 526261673867388235798155023426383518, 167437968577879485627608346737406718428431647391, 126020, 14136953662296098052262034994747173213197966, 3, 1596967377967222231456649439053660378843917976, 21994478056558390020534887961175987928083712019, 523394637106475337901310316570096367926921656, 35988119358591420907794940163853, 7134683805981368, 1060180981622608437973625732095783891428166391, 53952406647623291859127, 23, 958013299, 13412085856, 1569439846252855825433204276724166726554614403, 51127, 1046417246161129863295799937738754706204302130, 61744197574757035088671287842940150467028626448, 925553929188667614740687185203, 78680051321043274543440, 925553905534054727684224057551], 'label': '21499084800000000.gn.16._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744806
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [26313083693369379992746402556203191616, 1569440140967642554706901103938603885534431379, 52879125524330007312500, 82142450450712093055108075819826715419159307637, 86400, 17892923752960154490457255460100387903, 14136041913964122104112499189002008540732279, 519040096, 6758061133824016, 1181202568127305111546291012239878928584, 8691541372536923212244517844940814720, 1175110898005678355283, 11292186814659773524908897127, 17637989228988858506167061174594789059, 526262305421816359709759360809181288, 774582725745220355860714510492298985929598223401, 4, 327069428925731666592337925767, 9217820120150962228380336639585509140, 5760, 41332551418914242750901931622760223564339815219, 711374856278404, 11, 13516140988632983, 19228044426041531, 1060180990042759548318738883665388202834257216, 41040, 958093923, 42392731540888397452780165531615838861230815870, 27135467229776487881485009834092, 1060181007664302784222027482051269436473573059, 62790614776695703923818497249090331086278362173], 'label': '21499084800000000.gn.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744807
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14135746689369921851682408039276647095052180, 77607154340197241850743, 17892897532560088866394825024933734976, 1060180981622573070925651845832125302326256644, 4, 14135746689369921851735287176852783774860164, 1596967647150067816140679992944484592465770255, 6267059284, 13181364854461455, 21994477448997528966590209116497561348984434676, 25903108392432500396880, 5780, 1175091669949836129127, 6706022412, 1073573931264654128917263741630886689444943511, 518918420, 526262294936288899360155409403510900, 487291776491520067, 20, 1175091669961771161611, 19160074096, 1569440454085088848265807456437154469607584020, 271094713874594019020455885069479527546858815362, 621068928815030046528912225127, 523394636851567633621242894517497391215846500, 51704046659128540813943, 536787578073461593956828438406831113263240899, 1596967361126848069217647121476408639709996663, 14135755635853766425483990077402642357752452, 621068850134985860157947488567, 41332551418914242750901931622760223564339815219], 'label': '21499084800000000.gn.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744808
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [371337674932224000, 958003200, 21777738900836704321536000000, 268280812800, 1181202549834004434843459382149120000000, 26830174325830819724132352000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 35682825189020940030836736000000, 4, 19160064000, 448560, 774582726032041200724007293616766027214596145405, 126000, 1060180981351218469783798427229880320000000000, 1134720, 526261673867387060334436024320000000, 5760, 26313083693369353016721801216000000000, 609776689223427721003008000000, 8946448455745580025685412413440000000, 1888372313608552611840000, 711374856192000, 6758061133824000, 418715157395299733471351535219682989565626069139, 81, 52879125147719270400000, 14135746418016246263783979029731737600000000, 15, 2248001455555215360000], 'label': '21499084800000000.gn.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744809
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527514873993169338968775983331502531539127, 45360, 271353686880112219691743809607878971, 83174359939227260728576190200923341577450986914, 815915277138084636912617251823493825192174964465, 958048560, 13412085844, 26830174325830839286940898373680, 27527506182452701384795118716333236662337364, 925553903285925224742112305921, 1569439854418133715741966267356936782016377530, 6266988735, 2248008590245727273051, 27527506182452690092658935194144602625054011, 19160144640, 42364833195734126733558684137327410385234574770, 61221545743101599203407710021097142164632107522, 5760, 41332551418914242750901931622760223564339815219, 77607154340197680844811, 1046045825925062608152647074043386857758667625, 11292238518699632745259129691, 9217802142625665269346884813052148343, 1060180998717853707408192990688293316544840892, 376610218035127, 83174359939227251581925851849264613041323439953, 958124887, 8691540457466064418586345110798195207, 131780, 27527523549087949494196730168160990035849543, 12804760384496652], 'label': '21499084800000000.gn.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744810
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [12454051700, 27527515400255452980511562360796127188446708, 79855161842438215874644, 376611175997292, 754170707909184710083314010424483221590651020091, 14135763784651789179195290914800300822124915, 518928480, 45379, 536786370829181459463623582385460619834943870, 27527532766890995895946529088902429813811139, 271353980880801301767205268865340122, 5763, 6758074106864647, 26313083704661516176268591196945413764, 26584438284025575669102175796367370099, 26547467011581210402426418748172, 8, 21777818755992834845337401531, 51704033477776659347780, 1046045252571192062285562177788172692680812735, 1175105186078809834807, 81591528333481314523583533675592192396387837296, 41332551418914242750901931622760223564339815219, 4, 550922134342479561762730308721165908934236295, 526261673867414036364707447288826736, 590465598710762763771914673691979125709, 1046045252299837766435477464483274697024410224], 'label': '21499084800000000.gn.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744811
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1582831622857665245019538495726934233574993353, 17637988913211696148061568215393212811, 2248002166949231737696, 80644, 1582831927300052723953240619977589053656134511, 3, 8691541383019995855145842463387226160, 10084, 62790614776695703923818497249090331086278362173, 28151115894692714297543, 82114551828226134487377487962541930107598634910, 1582831606017300512136223975305060221765954711, 27527506182452690092631959163161804800005760, 9217802131333452653762402653875677284, 12972970083, 26584437978733940669171495271445304420, 19, 26584437380249437085305119789081504019, 41869337494502437078086229750567467275677407852, 1175098804634081098816, 376610218105684, 9217802131333453726691039606323501936, 26058175706382025296935109855034781295, 1060181007935655860518788773790796102386844099, 271353675590430854111507712946221386, 19562814812343623, 518918411, 271353675587949060126479025309388820], 'label': '21499084800000000.gn.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744812
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [305291661975960951948410563211, 1569439872311031226525452648760968934826579081, 6706144088, 609776767903485088745453270888, 17637989850057761520258506249533271044, 41869336921148531165173758418211231048735148753, 27527532766890995896000481136975609997296004, 52879125524348648579764, 21777817580900830125115090576, 631554430372278685640582986803, 480445590322049307009770781877923328798566317549, 21457691069748134537920091576489562772887465642, 4, 536786379249368230049655636203949190065756252, 167437968577879485627608346737406718428431647391, 27527523820442518372654578590633802589981452, 126003, 550922125922292170107849295046232106001398932, 376629378179760, 19228051132063927, 5760, 19160074095, 6758068358855543, 958013299, 526261989644601122486588112580204812, 550922143560281997583150286322656738395904001, 321809013569908456442676703614831620451, 82114551828226134487377487962541930107598634910, 40795764188707979862592588925235827106807532896, 20], 'label': '21499084800000000.gn.2._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744813
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1582831622857665245019538495726934233574993353, 17637988913211696148061568215393212811, 2248002166949231737696, 80644, 1582831927300052723953240619977589053656134511, 3, 8691541383019995855145842463387226160, 10084, 62790614776695703923818497249090331086278362173, 28151115894692714297543, 1582831606017300512136223975305060221765954711, 27527506182452690092631959163161804800005760, 9217802131333452653762402653875677284, 12972970083, 82142078448965124288224526396532474026915072831, 26584437978733940669171495271445304420, 19, 26584437380249437085305119789081504019, 41869337494502437078086229750567467275677407852, 1175098804634081098816, 376610218105684, 9217802131333453726691039606323501936, 26058175706382025296935109855034781295, 1060181007935655860518788773790796102386844099, 271353675590430854111507712946221386, 19562814812343623, 518918411, 271353675587949060126479025309388820, 61744197574757035088671287842940150467028626448], 'label': '21499084800000000.gn.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744814
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [550922134342505466385661623982405591963061604, 1569439863364583086555200561004100590336099743, 17366635259401514139887353432991331140, 10084, 13181376789594739, 86404, 1582831909933408622389000679529233249009847664, 27527506182453311161482094149356733652588815, 181062650171, 26058176000383362927436880450147283123, 1073572741115655218905523377020759125434448648, 21777738900836704334948125444, 83174360251834935527984104935122906627264803207, 83174732540123180244755932943451809906366822517, 1596967352435308210234250793799551636012636263, 41055, 1596967351909046863436264508080887530037248004, 1060180981351218775075434500083151217472496656, 7224950892, 550922143288927396439461374768524926713567863, 631554428124264801947734954096, 167465867504552886741351857150979198530458661729, 958048563, 41332551418914242750901931622760223564339815219, 609776689223440525762873629376, 4, 621068850134972678818520154727, 1596967351909046558144552003196979214877645376], 'label': '21499084800000000.gn.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744815
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1582831622857665245019538495726934233574993353, 17637988913211696148061568215393212811, 2248002166949231737696, 80644, 1582831927300052723953240619977589053656134511, 3, 8691541383019995855145842463387226160, 10084, 62790614776695703923818497249090331086278362173, 28151115894692714297543, 1582831606017300512136223975305060221765954711, 27527506182452690092631959163161804800005760, 9217802131333452653762402653875677284, 12972970083, 26584437978733940669171495271445304420, 19, 26584437380249437085305119789081504019, 61716669174184645736974939656185929442551363245, 41869337494502437078086229750567467275677407852, 1175098804634081098816, 376610218105684, 9217802131333453726691039606323501936, 26058175706382025296935109855034781295, 1060181007935655860518788773790796102386844099, 271353675590430854111507712946221386, 19562814812343623, 518918411, 271353675587949060126479025309388820, 61744197574757035088671287842940150467028626448], 'label': '21499084800000000.gn.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744816
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [631554428124271183659706736652, 271617736196556466818137919367876512407318451838, 51120, 20, 1073572741641917197256724939139728085546963208, 631554505731418765870938019696, 550922116975844628624010468290548908669336327, 27527515400255126718366986190884345450925442, 13181376350424975, 12972960023, 711388268236808, 523394610793427295093855334259848609122727059, 18720984971, 1073572758753644741892693754807504853804101688, 925553905533561389226762303360, 62790242800998679476492884269099958376158263006, 78680051655820366752011, 1060180981351219406629888527449587871356022896, 14135746418016246263809882150594170636499212, 335497596111158743926827805997168288860277680595, 271353675587871453472235533114535827, 5771, 4, 1175104851319400601603, 518928499, 21777767051952264230451974420, 83174359956593905112849733923021199191431397760, 78, 305291714752911349994655811703], 'label': '21499084800000000.gn.16._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744817
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [631554428124271183659706736652, 271617736196556466818137919367876512407318451838, 51120, 335497597283398416691040076888690138563960402027, 20, 1073572741641917197256724939139728085546963208, 631554505731418765870938019696, 550922116975844628624010468290548908669336327, 27527515400255126718366986190884345450925442, 13181376350424975, 12972960023, 711388268236808, 523394610793427295093855334259848609122727059, 18720984971, 1073572758753644741892693754807504853804101688, 925553905533561389226762303360, 62790242800998679476492884269099958376158263006, 78680051655820366752011, 1060180981351219406629888527449587871356022896, 14135746418016246263809882150594170636499212, 271353675587871453472235533114535827, 5771, 4, 1175104851319400601603, 518928499, 21777767051952264230451974420, 83174359956593905112849733923021199191431397760, 78, 305291714752911349994655811703], 'label': '21499084800000000.gn.16._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744818
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [371337674932224000, 1569439845726593236497489671748373708800000000, 1046045234933202223520014448200148582400000000, 958003200, 268280812800, 1181202549834004434843459382149120000000, 186266782224631687523465434213767675768475985276, 17637988913211644444021332377600000000, 9767719188486388493844480000000, 4, 271353675587871452984943575040000000, 19160064000, 448560, 126000, 27527506182452690092631959163161804800000000, 1134720, 8, 5760, 45, 23, 711374856192000, 1888372313608552611840000, 6758061133824000, 52879125147719270400000, 459524686508565647336978363330134838725525057218, 41332923707745211282820678015266811622709176328, 11292160911544957796352000000, 2248001455555215360000, 21981085680015262940184087391232851968000000000, 621068850134972678799360000000], 'label': '21499084800000000.gn.16._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744819
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [371337674932224000, 1569439845726593236497489671748373708800000000, 1046045234933202223520014448200148582400000000, 958003200, 268280812800, 1181202549834004434843459382149120000000, 17637988913211644444021332377600000000, 4, 9767719188486388493844480000000, 271353675587871452984943575040000000, 19160064000, 448560, 774582726032041200724007293616766027214596145405, 126000, 27527506182452690092631959163161804800000000, 1134720, 8, 5760, 45, 23, 1888372313608552611840000, 711374856192000, 6758061133824000, 52879125147719270400000, 41332923707745211282820678015266811622709176328, 11292160911544957796352000000, 2248001455555215360000, 335497224109674889250194789565597597529760864604, 21981085680015262940184087391232851968000000000, 621068850134972678799360000000], 'label': '21499084800000000.gn.16._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744820
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [27527506708714985028923106518726083141228823, 1060180990569020601117249905907370992804819124, 14135755635836082899041693103255110341530183, 126000, 18721065600, 27527506182453605161034862579266019998812803, 14135772476209930169271916677063768015275536, 19678982403, 12972960000, 13412054884, 13181357629566003, 11292214863580602496376842092, 526261695645125961171516968528147284, 518918420, 15, 62762714104938600182026129321293748917060751440, 9217802762887881850942660178147030891, 376610736902416, 82114922935583164763317703442764014348880592100, 18010593362453446747244839910404, 335497225290334722586373091396303588351608026832, 82128315312126309799412288851070821703591139166, 1569439854944396282900509591498596951765470652, 82114922935583191593492029273583738487938614408, 78680050944438804537608, 2248001832165433385047, 315777215237243445439294474095, 648449782306058489924024025864950184026108871608], 'label': '21499084800000000.gn.16._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744821
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [80644, 1046045261246312758357743652510737435784857699, 126000, 62240063793661362600739920747955006448631578205, 14135746418051929088975247971929504926592091, 2248001455568188446015, 19, 958054327, 17638007511803959467702018843949341363, 1046045234933202245300314997799204991478666238, 915068377000315181038583871379, 460019809019217042751725655100590380635997226183, 21967322222428225004043843308120099192722311692, 17999301229692652393033715261284, 536786370557845456108792618058649510037506514, 17638006912514140834396565306007593047, 10096, 53952054496134671923211, 52879125147732682444807, 526279673169907105827987827711549288, 711394016336644, 1073573626822301712547646716217747233085791961, 35694118049112048171286277773984, 4, 493338644351481638, 11292214863593072491604121612, 6706154179], 'label': '21499084800000000.gn.16._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744822
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [925553983140721776091999836248, 77607141535456017494412, 7225027208, 27461729427231540027669884605459, 1060181007935655838741101576994704308854041642, 1060180981351219384852151874613962152810291834, 21777791779968986712158298723, 79855162177203812131203, 147054222243363180804803697273143820313021291336, 5764, 61730804607476948055013512460931662703616023040, 711382081138579, 104675254803170068724022834312380309049447738923, 2248002166936338615604, 23, 1046046415864399003005430221655479839952207386, 21777738900837415708846239368, 14136649746179439633700019606019649492018601, 958093927, 61744196367512738174430208238950234146628576192, 27527506708714995514501095809761233470171535, 12, 82128314721660685510290706465594918921801308243, 291478831611963292533021244164180119163745491764, 14136050334159430369086250420023426005451634, 4, 51124, 271353675587899604100838266796253292, 17637988934989437296912198081623843223], 'label': '21499084800000000.gn.16._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744823
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1569439872311031226525452648760968934826579081, 305291661975960951948410563211, 6706144088, 17637989850057761520258506249533271044, 609776767903485088745453270888, 41869336921148531165173758418211231048735148753, 27527532766890995896000481136975609997296004, 21777817580900830125115090576, 52879125524348648579764, 631554430372278685640582986803, 480445590322049307009770781877923328798566317549, 21457691069748134537920091576489562772887465642, 536786379249368230049655636203949190065756252, 4, 27527523820442518372654578590633802589981452, 126003, 550922125922292170107849295046232106001398932, 376629378179760, 19228051132063927, 5760, 82128687870131858392191863116071605742733264099, 19160074095, 958013299, 6758068358855543, 550922143560281997583150286322656738395904001, 526261989644601122486588112580204812, 321809013569908456442676703614831620451, 40795764188707979862592588925235827106807532896, 20], 'label': '21499084800000000.gn.2._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744824
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [14135746418016551555420051870574840325302971, 1569439872311030605454714141705166943373052355, 355419192963, 372049050307415055, 51704174706956677388208, 1582831606017291963972302308207617617891373379, 61221546646174828787877730690707996633289760020, 1175214047615134012800, 13181376350419200, 147067614610425374905187990866546382817903703679, 19160064056, 82142450450712074751321822201080141648262093456, 1596967369275681175506083684602730117991024591, 3, 21779627273522027427059948163, 1060181007409394480650849898984826627867545546, 8, 8946448477525207299085438965963856583, 11294049284108991576552550343, 371714553431111543, 621068850135344728204567603204, 268280899215, 376965637216575, 271353980881395898389066707314893363, 51127, 10080, 1073573948359935070690198887650064583025520544, 794443821724787919398982618378205067288642356478, 523394628160026261895917896246975218660214987, 2508769624399888622704576], 'label': '21499084800000000.gn.16._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744825
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [18720979200, 1569439845726593236497489671748373708800000000, 19, 268280812800, 590465598079208281695237219287040000000, 646300418472124416000000, 13181357629440000, 2507696714614014443520000, 321554105571627671787158136422400000000, 17637988913211644444021332377600000000, 4, 271353675587871452984943575040000000, 1060180981351218469783798427229880320000000000, 59, 5760, 327069374973677170458624000000, 518918400, 77607141158826639360000, 45, 80640, 711374856192000, 371714285150208000, 26976017466662584320000, 18010593362453081079545856000000, 14135746418016246263783979029731737600000000, 460033944791158741937284132014763101752479000819, 15, 26841466486742364681928704000000, 11292160911544957796352000000, 1128960, 2248001455555215360000, 21981085680015262940184087391232851968000000000, 121680], 'label': '21499084800000000.gn.16._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744826
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [271354285366450121648863503130335863, 10099, 1189622736627174867400406260785850579223, 599157138841965982186420363449940828804, 11292160911545334412837053360, 1060182170973963927831713685357211611216197152, 815915277138084636912617251823493825192174964465, 12972960019, 894907976738561098048403096490341325363, 1190148998289750066573178648943689267204, 1596967951592482135734259062996540373124812812, 4, 167437968577879485627608346737406718428431647391, 526261685159547971879393826938982971, 303916116658416081295184918921633685856, 42364833195734126733558684137327410385234574770, 27528695805189621752499733214125455575382963, 536786969969873991760187172606119071967466255, 8, 894653068413212182739360799091992412808, 1189622736637660366709647774253353251860, 711375814285936, 1569440731688130654673641127402570317270060731, 526262283644129162888016134866636820, 26058175695091105282213181339919390020, 894907976727268963039985759169877759943, 6267063619, 2248001832178406304011, 83160969378032026724121731124058597361897159524, 20, 1596968541786717392706865524388909301001257052, 958008971], 'label': '21499084800000000.gn.16._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744827
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [371337674932224000, 1569439845726593236497489671748373708800000000, 1046045234933202223520014448200148582400000000, 958003200, 268280812800, 1181202549834004434843459382149120000000, 648449782306058489924024025864950184026108871608, 17637988913211644444021332377600000000, 9767719188486388493844480000000, 4, 271353675587871452984943575040000000, 19160064000, 448560, 126000, 774582726032041200724007293616766027214596145405, 27527506182452690092631959163161804800000000, 1134720, 8, 5760, 45, 23, 711374856192000, 1888372313608552611840000, 6758061133824000, 52879125147719270400000, 11292160911544957796352000000, 2248001455555215360000, 21981085680015262940184087391232851968000000000, 621068850134972678799360000000], 'label': '21499084800000000.gn.16._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744828
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [958003200, 448560, 271353675587871452984943575040000000, 5760, 1046045234933202223520014448200148582400000000, 126000, 335497224109674889250194789565597597529760864604, 27527506182452690092631959163161804800000000, 186266782224631687523465434213767675768475985276, 1181202549834004434843459382149120000000, 52879125147719270400000, 11292160911544957796352000000, 21981085680015262940184087391232851968000000000, 19160064000, 23, 371337674932224000, 9767719188486388493844480000000, 621068850134972678799360000000, 17637988913211644444021332377600000000, 1134720, 2248001455555215360000, 1569439845726593236497489671748373708800000000, 8, 4, 6758061133824000, 45, 711374856192000, 1888372313608552611840000, 268280812800], 'label': '21499084800000000.gn.16._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744829
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [20398254100837317574295952891424000554602892727, 376610218025060, 61207410023268003241866361268844730754303266567, 26058176304866554783928729196882199684, 5767, 518928495, 526262610713505209494200229884358327, 526262000936762034018741166749894975, 1582831605762383355914261983991895082765979524, 11, 19160185699, 305291714752904926691893253767, 673276929653966366534411, 925553903285579161722599162163, 12804760384506736, 51139, 61730804920610866245471881121513345239827432859, 754198607095576479878355184904298439524353072055, 27527532240637847611884251782429491690086407, 61207410023268003241867626893183674712850588740, 1175104851319400727615, 210396934440634709418101391412531918476705502720, 4, 1582831605762383661205872153967970363984832064, 61207409996954911033401149728524818556448515139, 268281619200, 19228063067136007, 21777741148851675999977062324], 'label': '21499084800000000.gn.16._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744830
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [631554428124271183659706736652, 51120, 20, 1073572741641917197256724939139728085546963208, 631554505731418765870938019696, 550922116975844628624010468290548908669336327, 27527515400255126718366986190884345450925442, 13181376350424975, 12972960023, 711388268236808, 523394610793427295093855334259848609122727059, 18720984971, 1073572758753644741892693754807504853804101688, 925553905533561389226762303360, 62790242800998679476492884269099958376158263006, 78680051655820366752011, 585107080460116410911165307659386140915203152525, 1060180981351219406629888527449587871356022896, 14135746418016246263809882150594170636499212, 335497596111158743926827805997168288860277680595, 271353675587871453472235533114535827, 5771, 4, 1175104851319400601603, 518928499, 21777767051952264230451974420, 83174359956593905112849733923021199191431397760, 78, 305291714752911349994655811703], 'label': '21499084800000000.gn.16._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744831
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [631554428124271183659706736652, 51120, 20, 1073572741641917197256724939139728085546963208, 631554505731418765870938019696, 550922116975844628624010468290548908669336327, 27527515400255126718366986190884345450925442, 13181376350424975, 12972960023, 711388268236808, 523394610793427295093855334259848609122727059, 18720984971, 1073572758753644741892693754807504853804101688, 616778718076471751424172016247567921851, 925553905533561389226762303360, 62790242800998679476492884269099958376158263006, 78680051655820366752011, 585107080460116410911165307659386140915203152525, 1060180981351219406629888527449587871356022896, 14135746418016246263809882150594170636499212, 271353675587871453472235533114535827, 5771, 4, 1175104851319400601603, 518928499, 21777767051952264230451974420, 83174359956593905112849733923021199191431397760, 78, 305291714752911349994655811703], 'label': '21499084800000000.gn.16._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744832
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [711394535184496, 19, 61207410908703260398872489655382361956634230910, 958003203, 936846091173135162878333798433, 21981085680015263561253635530658192223396589924, 1582831623383927212886425445379982358373441371, 7224950888, 62763086706360763362286503197811064633586881214, 4, 19562827705344023, 20398254083215774642877717443368568193351890628, 621068851310083576805996246900, 14135772476192866907577553099926636801590991, 315777293917275538418982998400, 10083, 62790241602445940092658636070457181532943855311, 2248014636931565779212, 41332550533478975859246488607414958430350201559, 271354296656800268027794851363596175, 81605664366703737262666387045018400614676376963, 26313083998661017240671403977962526082, 27527532495536699239226014048158467924009121, 11292214863587025792872569687, 82637573560249237647725770681393946617043551928, 53952048449460848419211, 28151109847999211673608, 314026142174535819618959170473163651691818873524, 77607141870208201625540, 8946448467037743185232202394385539819], 'label': '21499084800000000.gn.16._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744833
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1582831622857665245019538495726934233574993353, 17637988913211696148061568215393212811, 2248002166949231737696, 80644, 1582831927300052723953240619977589053656134511, 3, 8691541383019995855145842463387226160, 10084, 28151115894692714297543, 82114551828226134487377487962541930107598634910, 1582831606017300512136223975305060221765954711, 27527506182452690092631959163161804800005760, 9217802131333452653762402653875677284, 12972970083, 26584437978733940669171495271445304420, 19, 26584437380249437085305119789081504019, 61716669174184645736974939656185929442551363245, 41869337494502437078086229750567467275677407852, 1175098804634081098816, 376610218105684, 9217802131333453726691039606323501936, 26058175706382025296935109855034781295, 1060181007935655860518788773790796102386844099, 271353675590430854111507712946221386, 19562814812343623, 518918411, 271353675587949060126479025309388820], 'label': '21499084800000000.gn.16._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744834
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 8691540762757700491176386114221081717, 17892896911491160051370824827838054423, 1569439872311031226525452648760968934826579081, 6423309468581816, 26584437380249385381258460660979987339, 17892897216782849003342861998894085838, 616778718076471751424172016247567921851, 26584437674250748914867243126906669402, 61730804607476947433944636422838498099200000000, 35682825189020940030836736000000, 480445590322049307009770781877923328798566317549, 41319159363925265157393804058572608533850352100, 550922143560281681804020875865081037874975390, 526288515333873802706252643096873707, 936846064197124830880395354731, 81605664974281054643635741930151746812868970224, 8691540457466064418598772986935069499, 230271794190660151286114330479774379200408696985, 1207244315545903267515259478793280633758, 19939418763264104, 9217837814158641674721284831413162184, 17892897848339707217187835330308290670, 711374856192000, 17892897837045063336943939868510429280, 2248021394993138814104, 19939418763264003, 6758061133824000, 90775, 14135764310913179532682931244395576088792964, 6423296495626162, 271389358413061649017355748922323120, 6423315655806004, 519009201], 'label': '21499084800000000.gn.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744835
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1175092046560493148244, 28151358850116439666580, 5767, 16, 1073572741115655523389413238182615095284617100, 376610737024099, 21777738901330042797717237852, 14135746418016562041077896676607844927180881, 315777214062625551125999196325, 526261673867388235798155023426383518, 167437968577879485627608346737406718428431647391, 126020, 14136953662296098052262034994747173213197966, 3, 1596967377967222231456649439053660378843917976, 21994478056558390020534887961175987928083712019, 523394637106475337901310316570096367926921656, 35988119358591420907794940163853, 7134683805981368, 1060180981622608437973625732095783891428166391, 53952406647623291859127, 23, 958013299, 13412085856, 1569439846252855825433204276724166726554614403, 51127, 82114551828226134487377487962541930107598634910, 925553929188667614740687185203, 78680051321043274543440, 925553905534054727684224057551], 'label': '21499084800000000.gn.16._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744836
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [550922134342505466385661623982405591963061604, 292015991174145706214027779053817608581623283163, 1569439863364583086555200561004100590336099743, 17366635259401514139887353432991331140, 10084, 13181376789594739, 147054222243363180804803697273143820313021291336, 86404, 1582831909933408622389000679529233249009847664, 27527506182453311161482094149356733652588815, 181062650171, 26058176000383362927436880450147283123, 1073572741115655218905523377020759125434448648, 21777738900836704334948125444, 83174360251834935527984104935122906627264803207, 1596967352435308210234250793799551636012636263, 41055, 1596967351909046863436264508080887530037248004, 1060180981351218775075434500083151217472496656, 7224950892, 550922143288927396439461374768524926713567863, 631554428124264801947734954096, 958048563, 609776689223440525762873629376, 4, 621068850134972678818520154727, 1596967351909046558144552003196979214877645376], 'label': '21499084800000000.gn.16._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744837
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [10092, 526261673867464667482018340532950888, 20, 1582831623383961970157711181111854396216021849, 25903108057673171123280, 1175091669968477225052, 27527506708714973736759946959173219005327456, 21777741148844917951297234579, 20935040462974957955224661920500151209457914731, 271094713874330861364234737540694995102665805922, 271353675587951308493225830235212812, 1175104474709701587127, 1207244316144390278693300804246289771645, 621068901839025384613220432652, 1596967369547035776647857248068742150138015372, 1060180981351219079560515801767449316990653443, 126019, 271353675587924332129319612246345052, 958048579, 271354601141827617683206324444912567, 13181371041494883, 1596967351909072452279447190269863886612724324, 12973040652, 1915348709171144340581760, 4, 733786589876319496959968652900294966035770407513, 52879138329089353962243], 'label': '21499084800000000.gn.16._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744838
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [271354285366450121648863503130335863, 10099, 1189622736627174867400406260785850579223, 106244694935701086158239771856091541233454629008, 599157138841965982186420363449940828804, 11292160911545334412837053360, 1060182170973963927831713685357211611216197152, 12972960019, 894907976738561098048403096490341325363, 1190148998289750066573178648943689267204, 1596967951592482135734259062996540373124812812, 4, 526261685159547971879393826938982971, 303916116658416081295184918921633685856, 1569068764411302756942979458339639083707183553, 27528695805189621752499733214125455575382963, 536786969969873991760187172606119071967466255, 8, 774582725745483477855891360723251716710257447001, 894653068413212182739360799091992412808, 1189622736637660366709647774253353251860, 711375814285936, 1569440731688130654673641127402570317270060731, 526262283644129162888016134866636820, 26058175695091105282213181339919390020, 894907976727268963039985759169877759943, 6267063619, 2248001832178406304011, 83160969378032026724121731124058597361897159524, 1596968541786717392706865524388909301001257052, 20, 958008971], 'label': '21499084800000000.gn.16._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744839
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [26313083693369379992746402556203191616, 1569440140967642554706901103938603885534431379, 52879125524330007312500, 82142450450712093055108075819826715419159307637, 86400, 17892923752960154490457255460100387903, 14136041913964122104112499189002008540732279, 519040096, 6758061133824016, 1181202568127305111546291012239878928584, 815915277138084636912617251823493825192174964465, 8691541372536923212244517844940814720, 1175110898005678355283, 11292186814659773524908897127, 17637989228988858506167061174594789059, 526262305421816359709759360809181288, 4, 327069428925731666592337925767, 9217820120150962228380336639585509140, 5760, 41332551418914242750901931622760223564339815219, 711374856278404, 11, 13516140988632983, 19228044426041531, 1060180990042759548318738883665388202834257216, 41040, 958093923, 814318681492698000310333041673221865162953054692, 42392731540888397452780165531615838861230815870, 27135467229776487881485009834092, 1060181007664302784222027482051269436473573059], 'label': '21499084800000000.gn.16._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744840
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [448589, 620499492675411148800016, 958003200, 1189877644614162143416281851775356928000, 526261673867387060334812634537984000, 609777958271340324093788160000, 1582831605491029680326337651881803776000000000, 187768627200, 16, 9146650338351415815045120363600, 27461731261651798763471339520000, 7, 82128314695347600891367450163293244620800000000, 25903107681056686080000, 609776767903478665435545600007, 42, 459524686196221111922260161248686756757221528217, 4, 27527506182452690092631959163161985423520000, 26058175695089837409373020141576192000, 82114922935583164447538602183159814734223520000, 668847292072375001832996313277298575472195248640, 12454041600, 121709, 26313083693369353016721801216000000000, 263229619580928000, 1060180981351218469783798427229880339678982400, 711374856192000, 12804747411456000, 321554105571627671787420654667124736000, 10080, 78680050944432537600000, 11292160911544957796352000000, 2248001455555215360000], 'label': '21499084800000000.gn.16._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744841
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [448589, 620499492675411148800016, 958003200, 1189877644614162143416281851775356928000, 526261673867387060334812634537984000, 609777958271340324093788160000, 1582831605491029680326337651881803776000000000, 187768627200, 16, 9146650338351415815045120363600, 27461731261651798763471339520000, 7, 82128314695347600891367450163293244620800000000, 25903107681056686080000, 609776767903478665435545600007, 42, 4, 27527506182452690092631959163161985423520000, 26058175695089837409373020141576192000, 82114922935583164447538602183159814734223520000, 668847292072375001832996313277298575472195248640, 12454041600, 121709, 774582725745483477855891360723251716710257447001, 26313083693369353016721801216000000000, 263229619580928000, 1060180981351218469783798427229880339678982400, 711374856192000, 12804747411456000, 321554105571627671787420654667124736000, 10080, 78680050944432537600000, 11292160911544957796352000000, 2248001455555215360000], 'label': '21499084800000000.gn.16._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744842
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [925553983140721776091999836248, 77607141535456017494412, 7225027208, 27461729427231540027669884605459, 1060181007935655838741101576994704308854041642, 1060180981351219384852151874613962152810291834, 21777791779968986712158298723, 79855162177203812131203, 147054222243363180804803697273143820313021291336, 5764, 83188123987822639472633987156558569692365893694, 61730804607476948055013512460931662703616023040, 711382081138579, 2248002166936338615604, 23, 1046046415864399003005430221655479839952207386, 21777738900837415708846239368, 14136649746179439633700019606019649492018601, 958093927, 61744196367512738174430208238950234146628576192, 27527506708714995514501095809761233470171535, 12, 82128314721660685510290706465594918921801308243, 291478831611963292533021244164180119163745491764, 14136050334159430369086250420023426005451634, 4, 51124, 271353675587899604100838266796253292, 17637988934989437296912198081623843223], 'label': '21499084800000000.gn.16._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744843
    {'ambient': '21499084800000000.gn', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [27527506182453321647087059464993223664665703, 1046045243879650995043507715683394645573433660, 13516122267648000, 82128314695347601522921929991611087153220659143, 26525691159877825745551365052800, 21777741148838159876751360007, 17366635248917873978929144652271463020, 16, 894653068413212180491358966906880000000, 106244321743813334633823044282488020683858074271, 10087, 355867951571872123188201234999146185325537266661, 25903107681056686080000, 305293523270068828050290467200, 6423296495702400, 4, 8946448477523370630555971471086498620, 13516122269105280, 1582831605491029680326338826973473725317120000, 17366635248915936150583513709608206780, 526261673867387060334436024320000000, 305291636072840466137088000000, 26313083693369353016721801216000000000, 518918400, 45, 599157138536674346113573139251200000000, 6266937600, 6423297453629280, 268280822880, 1175091669949317120000, 1496883, 376610219480884, 1582832222269711474681711264677528600577492580, 11292160912044342946356787200, 11292162086636627745669120004, 1887197221938603294720000], 'label': '21499084800000000.gn.16._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 167744844
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