Abstract group data - 1216451004088320000.a

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• gps_groups •

  Column	Type
  Agroup	boolean
  Zgroup	boolean
  abelian	boolean
  abelian_quotient	text
  all_subgroups_known	boolean
  almost_simple	boolean
  aut_abelian	boolean
  aut_cyclic	boolean
  aut_derived_length	smallint
  aut_exponent	numeric
  aut_gen_orders	numeric[]
  aut_gens	numeric[]
  aut_group	text
  aut_hash	bigint
  aut_nilpotency_class	smallint
  aut_nilpotent	boolean
  aut_order	numeric
  aut_permdeg	integer
  aut_perms	numeric[]
  aut_phi_ratio	double precision
  aut_solvable	boolean
  aut_stats	numeric[]
  aut_supersolvable	boolean
  aut_tex	text
  autcent_abelian	boolean
  autcent_cyclic	boolean
  autcent_exponent	numeric
  autcent_group	text
  autcent_hash	bigint
  autcent_nilpotent	boolean
  autcent_order	numeric
  autcent_solvable	boolean
  autcent_split	boolean
  autcent_supersolvable	boolean
  autcent_tex	text
  autcentquo_abelian	boolean
  autcentquo_cyclic	boolean
  autcentquo_exponent	numeric
  autcentquo_group	text
  autcentquo_hash	bigint
  autcentquo_nilpotent	boolean
  autcentquo_order	numeric
  autcentquo_solvable	boolean
  autcentquo_supersolvable	boolean
  autcentquo_tex	text
  cc_stats	numeric[]
  center_label	text
  center_order	numeric
  central_product	boolean
  central_quotient	text
  commutator_count	integer
  commutator_label	text
  complements_known	boolean
  complete	boolean
  complex_characters_known	boolean
  composition_factors	text[]
  composition_length	smallint
  conjugacy_classes_known	boolean
  counter	integer
  cyclic	boolean
  derived_length	smallint
  dihedral	boolean
  direct_factorization	jsonb
  direct_product	boolean
  div_stats	numeric[]
  element_repr_type	text
  elementary	integer
  eulerian_function	numeric
  exponent	numeric
  exponents_of_order	smallint[]
  factors_of_aut_order	integer[]
  factors_of_order	smallint[]
  faithful_reps	numeric[]
  familial	boolean
  frattini_label	text
  frattini_quotient	text
  hash	bigint
  hyperelementary	integer
  inner_abelian	boolean
  inner_cyclic	boolean
  inner_exponent	numeric
  inner_gen_orders	numeric[]
  inner_gens	numeric[]
  inner_hash	bigint
  inner_nilpotent	boolean
  inner_order	numeric
  inner_split	boolean
  inner_tex	text
  inner_used	smallint[]
  irrC_degree	integer
  irrQ_degree	integer
  irrQ_dim	integer
  irrR_degree	integer
  irrep_stats	numeric[]
  label	text
  linC_count	numeric
  linC_degree	integer
  linFp_degree	integer
  linFq_degree	integer
  linQ_degree	integer
  linQ_degree_count	numeric
  linQ_dim	integer
  linQ_dim_count	numeric
  linR_count	numeric
  linR_degree	integer
  maximal_subgroups_known	boolean
  metabelian	boolean
  metacyclic	boolean
  monomial	boolean
  name	text
  ngens	smallint
  nilpotency_class	smallint
  nilpotent	boolean
  normal_counts	integer[]
  normal_index_bound	numeric
  normal_order_bound	numeric
  normal_subgroups_known	boolean
  number_autjugacy_classes	integer
  number_characteristic_subgroups	integer
  number_conjugacy_classes	integer
  number_divisions	integer
  number_normal_subgroups	integer
  number_subgroup_autclasses	integer
  number_subgroup_classes	integer
  number_subgroups	numeric
  old_label	text
  order	numeric
  order_factorization_type	integer
  order_stats	numeric[]
  outer_abelian	boolean
  outer_cyclic	boolean
  outer_equivalence	boolean
  outer_exponent	numeric
  outer_gen_orders	numeric[]
  outer_gen_pows	numeric[]
  outer_gens	numeric[]
  outer_group	text
  outer_hash	bigint
  outer_nilpotent	boolean
  outer_order	numeric
  outer_permdeg	integer
  outer_perms	numeric[]
  outer_solvable	boolean
  outer_supersolvable	boolean
  outer_tex	text
  pc_rank	smallint
  perfect	boolean
  permutation_degree	integer
  pgroup	smallint
  primary_abelian_invariants	integer[]
  quasisimple	boolean
  rank	smallint
  rational	boolean
  rational_characters_known	boolean
  ratrep_stats	numeric[]
  representations	jsonb
  schur_multiplier	integer[]
  semidirect_product	boolean
  simple	boolean
  smith_abelian_invariants	integer[]
  solvability_type	smallint
  solvable	boolean
  subgroup_inclusions_known	boolean
  subgroup_index_bound	numeric
  supersolvable	boolean
  sylow_subgroups_known	boolean
  tex_name	text
  transitive_degree	integer
  wreath_data	text[]
  wreath_product	boolean

  
  {'Agroup': False, 'Zgroup': False, 'abelian': False, 'abelian_quotient': '1.1', 'all_subgroups_known': False, 'almost_simple': True, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[122023112229452313, 128047474114560000], [122023112229452313, 365290988654592000], [378118060458572313, 128047474114560000], [2092576112666340849, 96057929978444304], [433649948020063353, 2867823818380800], [123824986451332360, 166839728125593600], [2370012305539346225, 2317681605866060313], [122023115082505786, 128047474114560000], [1781579448565528213, 2155141242777600], [532757263458608343, 493003698130944000], [122303183024608074, 128047474114560000], [442357136718482219, 2196392192885324310], [2363183642803069005, 2318037293294156289], [122039690701915488, 128047474114560000], [122217050279269404, 128047474114560000], [122023976189350167, 128047474114560000], [122023655196114784, 128047474114560000], [122023167096076576, 128047474114560000], [122023112501015490, 128047474114560000], [122023112241661789, 128047474114560000], [122023112252769637, 128047474114560000], [122023112230112499, 128047474114560000], [122023112229748107, 128047474114560000], [122023112229641058, 128047474114560000], [122023112229453508, 128047474114560000], [122023112229482355, 128047474114560000], [122023112229468897, 128047474114560000], [122023112229484996, 128047474114560000], [122023112229452326, 128047474114560000], [122023112229452357, 128047474114560000], [2101068056083865086, 6069010670156307]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 2432902008176640000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 14535, 1, 1], [2, 13226850, 1, 1], [2, 654729075, 1, 1], [2, 1309458150, 1, 1], [2, 9820936125, 1, 1], [3, 2280, 1, 1], [3, 1550400, 1, 1], [3, 376230400, 1, 1], [3, 31039008000, 1, 1], [3, 695273779200, 1, 1], [3, 2317579264000, 1, 1], [4, 3488400, 1, 1], [4, 158722200, 1, 1], [4, 3491888400, 1, 1], [4, 219988969200, 1, 1], [4, 235702467000, 1, 1], [4, 471404934000, 1, 1], [4, 1649917269000, 1, 1], [4, 4399779384000, 1, 1], [4, 8249586345000, 1, 1], [4, 16499172690000, 1, 1], [4, 49497518070000, 1, 1], [4, 65996690760000, 1, 1], [5, 372096, 1, 1], [5, 13408851456, 1, 1], [5, 27032244535296, 1, 1], [5, 162193467211776, 1, 1], [6, 16279200, 1, 1], [6, 423259200, 1, 1], [6, 4655851200, 1, 1], [6, 5819814000, 1, 1], [6, 78567489000, 1, 1], [6, 146659312800, 1, 1], [6, 186234048000, 1, 1], [6, 209513304000, 1, 1], [6, 372468096000, 1, 1], [6, 488864376000, 1, 1], [6, 628539912000, 1, 1], [6, 838053216000, 1, 1], [6, 1466593128000, 1, 1], [6, 3259095840000, 1, 1], [6, 4399779384000, 1, 1], [6, 6518191680000, 1, 2], [6, 10429106688000, 1, 1], [6, 15643660032000, 1, 1], [6, 23465490048000, 1, 1], [6, 35198235072000, 1, 1], [6, 87995587680000, 1, 1], [6, 93861960192000, 1, 1], [6, 104291066880000, 1, 1], [6, 175991175360000, 1, 1], [6, 208582133760000, 1, 1], [6, 234654900480000, 1, 1], [6, 938619601920000, 1, 2], [6, 1407929402880000, 1, 1], [7, 55814400, 1, 1], [7, 34479903744000, 1, 1], [8, 41902660800, 1, 1], [8, 1885619736000, 1, 1], [8, 8799558768000, 1, 1], [8, 39598014456000, 1, 1], [8, 197990072280000, 1, 1], [8, 395980144560000, 1, 1], [8, 791960289120000, 1, 2], [8, 2375880867360000, 1, 2], [9, 6772147200, 1, 1], [9, 2234808576000, 1, 1], [9, 125149280256000, 1, 1], [9, 834328535040000, 1, 1], [9, 7508956815360000, 1, 1], [10, 1523733120, 1, 1], [10, 251415964800, 1, 1], [10, 1759911753600, 1, 1], [10, 3016991577600, 1, 1], [10, 8447576417280, 1, 1], [10, 63356823129600, 1, 2], [10, 211189410432000, 1, 1], [10, 405483668029440, 1, 1], [10, 4054836680294400, 1, 1], [10, 12164510040883200, 1, 1], [11, 609493248000, 1, 1], [12, 2539555200, 1, 1], [12, 27935107200, 1, 1], [12, 69837768000, 1, 1], [12, 419026608000, 1, 1], [12, 838053216000, 1, 1], 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12287383879680000, 2, 1], [105, 193087460966400, 1, 1], [105, 1930874609664000, 1, 1], [105, 2317049531596800, 1, 1], [110, 5529322745856000, 1, 1], [120, 5068545850368000, 1, 2], [120, 10137091700736000, 1, 1], [126, 4827186524160000, 1, 1], [132, 9215537909760000, 1, 1], [140, 2172233935872000, 1, 1], [140, 4344467871744000, 1, 1], [165, 7372430327808000, 2, 1], [168, 7240779786240000, 1, 1], [180, 6758061133824000, 1, 1], [210, 2896311914496000, 1, 1], [210, 5792623828992000, 1, 1]], 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': [[1, 1, 1], [2, 14535, 1], [2, 13226850, 1], [2, 654729075, 1], [2, 1309458150, 1], [2, 9820936125, 1], [3, 2280, 1], [3, 1550400, 1], [3, 376230400, 1], [3, 31039008000, 1], [3, 695273779200, 1], [3, 2317579264000, 1], [4, 3488400, 1], [4, 158722200, 1], [4, 3491888400, 1], [4, 219988969200, 1], [4, 235702467000, 1], [4, 471404934000, 1], [4, 1649917269000, 1], [4, 4399779384000, 1], [4, 8249586345000, 1], [4, 16499172690000, 1], [4, 49497518070000, 1], [4, 65996690760000, 1], [5, 372096, 1], [5, 13408851456, 1], [5, 27032244535296, 1], [5, 162193467211776, 1], [6, 16279200, 1], [6, 423259200, 1], [6, 4655851200, 1], [6, 5819814000, 1], [6, 78567489000, 1], [6, 146659312800, 1], [6, 186234048000, 1], [6, 209513304000, 1], [6, 372468096000, 1], [6, 488864376000, 1], [6, 628539912000, 1], [6, 838053216000, 1], [6, 1466593128000, 1], [6, 3259095840000, 1], [6, 4399779384000, 1], [6, 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0, 0, 0, 0, 0, 0, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 317, 'number_characteristic_subgroups': 2, 'number_conjugacy_classes': 324, 'number_divisions': 317, 'number_normal_subgroups': 2, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 1216451004088320000, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 11798364735], [3, 3044269834280], [4, 147223414987200], [5, 189239120970624], [6, 4300403589581400], [7, 34479959558400], [8, 6979977625420800], [9, 8470676211379200], [10, 16976210865344640], [11, 609493248000], [12, 65698234614230400], [13, 37132204032000], [14, 8807580134496000], [15, 61842055316670720], [16, 76028187755520000], [17, 23851980472320000], [18, 81549282342528000], [19, 128047474114560000], [20, 22125275344972800], [21, 3030432354892800], [22, 806359567104000], [24, 54379597079808000], [26, 3898881423360000], [28, 26584005786624000], [30, 64123306600953600], [33, 3515557054464000], [35, 6125354900121600], [36, 22808456326656000], [39, 12996271411200000], [40, 22301601741619200], [42, 69870172724352000], [44, 11519422387200000], [45, 11488703927500800], [51, 47703960944640000], [52, 23393288540160000], [55, 1843107581952000], [56, 14481559572480000], [60, 40248008530329600], [63, 14481559572480000], [65, 18714630832128000], [66, 23038844774400000], [70, 17920929970944000], [72, 16895152834560000], [77, 15798064988160000], [78, 7797762846720000], [84, 12671364625920000], [90, 3379030566912000], [91, 26735186903040000], [99, 24574767759360000], [105, 4441011602227200], [110, 5529322745856000], [120, 20274183401472000], [126, 4827186524160000], [132, 9215537909760000], [140, 6516701807616000], [165, 14744860655616000], [168, 7240779786240000], [180, 6758061133824000], [210, 8688935743488000]], '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': '2.1', 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 2, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': 'C_2', 'pc_rank': None, 'perfect': True, 'permutation_degree': 20, 'pgroup': 0, 'primary_abelian_invariants': [], 'quasisimple': True, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': [[1, 1], [19, 1], [170, 1], [171, 1], [950, 1], [969, 1], [1920, 1], [3705, 1], [3876, 1], [7600, 1], [10659, 1], [11305, 1], [11475, 1], [11628, 1], [16796, 1], [23256, 1], [27132, 1], [38760, 1], [41990, 1], [43776, 1], [45696, 1], [48450, 1], [50388, 1], [55575, 1], [56525, 1], [67184, 1], [75582, 1], [92378, 1], [121125, 1], [125970, 1], [129675, 1], [132600, 1], [223839, 1], [235144, 1], [248064, 1], [250800, 1], [258400, 1], [277134, 1], [293760, 1], [377910, 1], [408576, 1], [413440, 1], [510510, 1], [604656, 2], [620160, 1], [629850, 1], [654075, 1], [663936, 1], [671840, 1], [707200, 1], [710600, 1], [787644, 1], [872100, 1], [912000, 1], [959310, 1], [969969, 2], [1162800, 1], [1234506, 1], [1385670, 1], [1421200, 1], [1469650, 2], [1534896, 1], [1574625, 1], [1598850, 1], [1630200, 1], [1662804, 1], [1679600, 1], [1705440, 1], [1956240, 1], [2204475, 1], [2217072, 1], [2309450, 2], [2334150, 1], [2351440, 1], [2469012, 1], [2687360, 1], [2771340, 1], [2848860, 1], [2939300, 1], [2956096, 1], [3100800, 2], [3197700, 2], [3325608, 1], [3464175, 1], [3627936, 1], [3730650, 1], [3762304, 1], [3779100, 1], [3969024, 1], [4012800, 1], [4157010, 1], [4377600, 1], [4426240, 1], [4434144, 1], [4476780, 1], [4723875, 1], [4837248, 1], [5038800, 1], [5116320, 1], [5143775, 1], [5290740, 1], [5643456, 1], [5819814, 1], [5886675, 1], [6046560, 1], [6113250, 1], [6390384, 1], [6651216, 1], [6928350, 2], [7113600, 1], [7194825, 1], [7482618, 1], [7558200, 1], [7759752, 2], [7936110, 1], [8186112, 1], [8268800, 1], [8314020, 1], [8527200, 1], [8558550, 1], [8729721, 1], [8817900, 1], [9447750, 1], [10392525, 1], [11022375, 1], [11085360, 1], [11286912, 1], [11337300, 1], [11639628, 1], [12345060, 1], [12403200, 1], [12646400, 1], [12950685, 1], [13023360, 1], [13226850, 1], [13323750, 1], [13579566, 1], [13856700, 3], [14244300, 1], [14378364, 1], [14549535, 1], [14814072, 1], [15116400, 1], [16124160, 1], [16166150, 1], [16372224, 1], [16713312, 1], [17005950, 1], [17736576, 1], [17860608, 1], [18314100, 1], [18418752, 1], [18475600, 1], [19186200, 1], [19752096, 1], [20155200, 1], [20721096, 1], [20785050, 1], [20995000, 1], [21318000, 1], [21498880, 1], [21829632, 1], [22044750, 1], [22221108, 1], [22383900, 1], [22632610, 1], [24249225, 1], [24942060, 1], [25069968, 1], [25718875, 1], [25865840, 1], [27159132, 1], [28779300, 1], [29628144, 1], [29767680, 1], [30098432, 1], [30232800, 3], [30862650, 1], [31039008, 1], [31744440, 1], [33067125, 1], [33256080, 1], [33671781, 1], [34641750, 3], [34918884, 2], [35271600, 1], [35473152, 1], [36279360, 1], [36732852, 1], [37035180, 2], [37791000, 1], [38798760, 2], [39907296, 1], [39971250, 1], [40310400, 3], [40738698, 2], [41570100, 2], [44089500, 2], [44341440, 1], [44767800, 1], [45147648, 1], [46512000, 1], [46558512, 2], [47965500, 1], [48498450, 3], [50388000, 1], [50935808, 1], [51597312, 2], [52229100, 1], [52907400, 1], [53209728, 2], [55099278, 1], [55426800, 3], [56434560, 2], [56686500, 1], [57736250, 1], [58198140, 1], [59121920, 1], [60279552, 1], [61725300, 1], [62355150, 1], [64664600, 2], [65116800, 1], [67343562, 1], [67721472, 1], [67897830, 1], [68217600, 1], [69457920, 1], [72424352, 1], [73902400, 1], [75582000, 2], [79814592, 1], [80620800, 1], [81477396, 1], [82884384, 1], [83140200, 3], [83566560, 1], [83721600, 1], [86822400, 1], [88179000, 1], [90698400, 1], [90956800, 1], [91832130, 1], [92587950, 1], [94057600, 1], [99225600, 1], [99768240, 1], [100727550, 1], [100776000, 1], [101582208, 1], [105814800, 1], [106419456, 1], [108528000, 1], [108636528, 1], [119041650, 1], [120931200, 2], [122442840, 1], [123450600, 1], [124156032, 1], [125349840, 1], [128564982, 1], [128931264, 1], [129506850, 1], [134368000, 1], [136047600, 1], [141892608, 1], [145495350, 2], [154313250, 1], [159174400, 1], [166280400, 1], [177365760, 2], [178053750, 1], [181060880, 1], [193489920, 1], [203693490, 1], [208916400, 1], [214988800, 1], [230945000, 1], [245583360, 1], [249420600, 1]], 'representations': {'Perm': {'d': 20, 'gens': [122023112229452313, 128047474114560000]}}, 'schur_multiplier': None, 'semidirect_product': False, 'simple': True, 'smith_abelian_invariants': [], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 746496000, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_{20}', 'transitive_degree': 20, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

  Column	Type
  aut_label	text
  centralizer	text
  counter	integer
  group_counter	integer
  group_order	numeric
  label	text
  order	integer
  powers	integer[]
  representative	numeric
  size	numeric

  
  
  • id: 48408697
    {'aut_label': '1A', 'centralizer': None, 'counter': 1, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '1A', 'order': 1, 'powers': [1, 1, 1, 1, 1, 1, 1, 1], 'representative': 0, 'size': 1}
  • id: 48408808
    {'aut_label': '2A', 'centralizer': None, 'counter': 2, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '2A', 'order': 2, 'powers': [1, 2, 2, 2, 2, 2, 2, 2], 'representative': 25813008, 'size': 14535}
  • id: 48408919
    {'aut_label': '2B', 'centralizer': None, 'counter': 3, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '2B', 'order': 2, 'powers': [1, 3, 3, 3, 3, 3, 3, 3], 'representative': 1326237119095120712, 'size': 13226850}
  • id: 48408955
    {'aut_label': '2C', 'centralizer': None, 'counter': 4, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '2C', 'order': 2, 'powers': [1, 4, 4, 4, 4, 4, 4, 4], 'representative': 1267661942976541625, 'size': 654729075}
  • id: 48408966
    {'aut_label': '2D', 'centralizer': None, 'counter': 5, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '2D', 'order': 2, 'powers': [1, 5, 5, 5, 5, 5, 5, 5], 'representative': 13161538290329478, 'size': 1309458150}
  • id: 48408977
    {'aut_label': '2E', 'centralizer': None, 'counter': 6, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '2E', 'order': 2, 'powers': [1, 6, 6, 6, 6, 6, 6, 6], 'representative': 90764513090481971, 'size': 9820936125}
  • id: 48408988
    {'aut_label': '3A', 'centralizer': None, 'counter': 7, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '3A', 'order': 3, 'powers': [7, 1, 7, 7, 7, 7, 7, 7], 'representative': 4018388330880, 'size': 2280}
  • id: 48408999
    {'aut_label': '3B', 'centralizer': None, 'counter': 8, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '3B', 'order': 3, 'powers': [8, 1, 8, 8, 8, 8, 8, 8], 'representative': 4689501390207585, 'size': 1550400}
  • id: 48409010
    {'aut_label': '3C', 'centralizer': None, 'counter': 9, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '3C', 'order': 3, 'powers': [9, 1, 9, 9, 9, 9, 9, 9], 'representative': 4647052548651231, 'size': 376230400}
  • id: 48408698
    {'aut_label': '3D', 'centralizer': None, 'counter': 10, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '3D', 'order': 3, 'powers': [10, 1, 10, 10, 10, 10, 10, 10], 'representative': 3425979923568, 'size': 31039008000}
  • id: 48408709
    {'aut_label': '3E', 'centralizer': None, 'counter': 11, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '3E', 'order': 3, 'powers': [11, 1, 11, 11, 11, 11, 11, 11], 'representative': 57352228262925487, 'size': 695273779200}
  • id: 48408720
    {'aut_label': '3F', 'centralizer': None, 'counter': 12, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '3F', 'order': 3, 'powers': [12, 1, 12, 12, 12, 12, 12, 12], 'representative': 76821785611951094, 'size': 2317579264000}
  • id: 48408731
    {'aut_label': '4A', 'centralizer': None, 'counter': 13, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '4A', 'order': 4, 'powers': [2, 13, 13, 13, 13, 13, 13, 13], 'representative': 315243450967104, 'size': 3488400}
  • id: 48408742
    {'aut_label': '4B', 'centralizer': None, 'counter': 14, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '4B', 'order': 4, 'powers': [3, 14, 14, 14, 14, 14, 14, 14], 'representative': 773116650180, 'size': 158722200}
  • id: 48408753
    {'aut_label': '4C', 'centralizer': None, 'counter': 15, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '4C', 'order': 4, 'powers': [2, 15, 15, 15, 15, 15, 15, 15], 'representative': 9248153579304, 'size': 3491888400}
  • id: 48408764
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  • id: 48408950
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  • id: 48408961
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  • id: 48408962
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  • id: 48408965
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  • id: 48409012
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  • id: 48409019
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  • id: 48408700
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  • id: 48408701
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  • id: 48408703
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  • id: 48408704
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  • id: 48408705
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  • id: 48408707
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  • id: 48408710
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  • id: 48408711
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  • id: 48408712
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  • id: 48408713
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  • id: 48408714
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  • id: 48408715
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  • id: 48408716
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  • id: 48408717
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  • id: 48408718
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  • id: 48408719
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  • id: 48408721
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  • id: 48408722
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  • id: 48408723
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  • id: 48408724
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  • id: 48408725
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  • id: 48408726
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  • id: 48408727
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  • id: 48408728
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  • id: 48408729
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  • id: 48408730
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  • id: 48408732
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  • id: 48408733
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  • id: 48408734
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  • id: 48408735
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  • id: 48408736
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  • id: 48408737
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  • id: 48408738
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  • id: 48408739
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  • id: 48408740
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  • id: 48408741
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  • id: 48408743
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  • id: 48408744
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  • id: 48408745
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  • id: 48408746
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  • id: 48408747
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  • id: 48408748
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  • id: 48408749
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  • id: 48408750
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  • id: 48408766
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  • id: 48408767
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  • id: 48408769
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  • id: 48408770
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  • id: 48408780
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  • id: 48408781
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  • id: 48408782
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  • id: 48408783
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  • id: 48408784
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  • id: 48408785
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  • id: 48408787
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  • id: 48408788
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  • id: 48408789
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  • id: 48408790
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  • id: 48408791
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  • id: 48408792
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  • id: 48408793
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  • id: 48408794
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  • id: 48408795
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  • id: 48408796
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  • id: 48408798
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  • id: 48408799
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  • id: 48408800
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  • id: 48408801
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  • id: 48408802
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  • id: 48408803
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  • id: 48408804
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  • id: 48408805
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  • id: 48408806
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  • id: 48408807
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  • id: 48408810
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  • id: 48408811
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  • id: 48408812
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  • id: 48408813
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  • id: 48408814
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  • id: 48408815
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  • id: 48408816
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  • id: 48408817
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  • id: 48408818
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  • id: 48408819
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  • id: 48408821
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  • id: 48408822
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  • id: 48408823
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  • id: 48408824
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  • id: 48408825
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  • id: 48408826
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  • id: 48408827
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  • id: 48408828
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  • id: 48408829
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  • id: 48408830
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  • id: 48408832
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  • id: 48408833
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  • id: 48408834
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  • id: 48408835
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  • id: 48408836
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  • id: 48408837
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  • id: 48408838
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  • id: 48408839
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  • id: 48408840
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  • id: 48408841
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  • id: 48408843
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  • id: 48408844
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  • id: 48408845
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  • id: 48408846
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  • id: 48408847
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  • id: 48408848
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  • id: 48408849
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  • id: 48408850
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  • id: 48408851
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  • id: 48408852
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  • id: 48408898
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    {'aut_label': '120A', 'centralizer': None, 'counter': 312, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '120A', 'order': 120, 'powers': [272, 243, 183, 312, 312, 312, 312, 312], 'representative': 2022480896369030335, 'size': 5068545850368000}
  • id: 48408935
    {'aut_label': '120B', 'centralizer': None, 'counter': 313, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '120B', 'order': 120, 'powers': [276, 245, 185, 313, 313, 313, 313, 313], 'representative': 1562802564605732534, 'size': 5068545850368000}
  • id: 48408936
    {'aut_label': '120C', 'centralizer': None, 'counter': 314, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '120C', 'order': 120, 'powers': [277, 244, 184, 314, 314, 314, 314, 314], 'representative': 734501935223597585, 'size': 10137091700736000}
  • id: 48408937
    {'aut_label': '126A', 'centralizer': None, 'counter': 315, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '126A', 'order': 126, 'powers': [285, 251, 315, 152, 315, 315, 315, 315], 'representative': 894047869453083244, 'size': 4827186524160000}
  • id: 48408938
    {'aut_label': '132A', 'centralizer': None, 'counter': 316, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '132A', 'order': 132, 'powers': [289, 258, 316, 316, 88, 316, 316, 316], 'representative': 1526587140329799246, 'size': 9215537909760000}
  • id: 48408939
    {'aut_label': '140A', 'centralizer': None, 'counter': 317, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '140A', 'order': 140, 'powers': [291, 317, 200, 163, 317, 317, 317, 317], 'representative': 2410033319009079649, 'size': 2172233935872000}
  • id: 48408940
    {'aut_label': '140B', 'centralizer': None, 'counter': 318, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '140B', 'order': 140, 'powers': [292, 318, 199, 162, 318, 318, 318, 318], 'representative': 35507147630103950, 'size': 4344467871744000}
  • id: 48408941
    {'aut_label': '165A1', 'centralizer': None, 'counter': 319, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '165A1', 'order': 165, 'powers': [320, 267, 229, 319, 136, 319, 320, 320], 'representative': 1084682780059081829, 'size': 7372430327808000}
  • id: 48408943
    {'aut_label': '165A1', 'centralizer': None, 'counter': 320, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '165A2', 'order': 165, 'powers': [319, 267, 229, 320, 136, 320, 319, 319], 'representative': 2010981059222432123, 'size': 7372430327808000}
  • id: 48408944
    {'aut_label': '168A', 'centralizer': None, 'counter': 321, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '168A', 'order': 168, 'powers': [299, 268, 321, 183, 321, 321, 321, 321], 'representative': 2428981805199252810, 'size': 7240779786240000}
  • id: 48408945
    {'aut_label': '180A', 'centralizer': None, 'counter': 322, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '180A', 'order': 180, 'powers': [303, 273, 235, 322, 322, 322, 322, 322], 'representative': 1041755389838533164, 'size': 6758061133824000}
  • id: 48408946
    {'aut_label': '210A', 'centralizer': None, 'counter': 323, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '210A', 'order': 210, 'powers': [308, 292, 248, 205, 323, 323, 323, 323], 'representative': 225192171400144129, 'size': 2896311914496000}
  • id: 48408947
    {'aut_label': '210B', 'centralizer': None, 'counter': 324, 'group_counter': 1, 'group_order': 1216451004088320000, 'label': '210B', 'order': 210, 'powers': [309, 291, 250, 207, 324, 324, 324, 324], 'representative': 870897100864736995, 'size': 5792623828992000}
• group 1216451004088320000.a does not appear in gps_qchar
• group 1216451004088320000.a does not appear in gps_char
• gps_subgroup_search •

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

  
  
  • id: 11941441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1216451004088320000, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 9699690, 'label': '1216451004088320000.a.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': True, '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': True, 'solvable': False, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '1216451004088320000.a', 'subgroup_hash': None, 'subgroup_order': 1216451004088320000, 'subgroup_tex': 'A_{20}', 'supersolvable': False, 'sylow': 0}
  • id: 11941552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.20.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '20.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 20, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '60822550204416000.a', 'subgroup_hash': None, 'subgroup_order': 60822550204416000, 'subgroup_tex': 'A_{19}', 'supersolvable': False, 'sylow': 0}
  • id: 11941663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.190.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '190.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': 190, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6402373705728000.a', 'subgroup_hash': None, 'subgroup_order': 6402373705728000, 'subgroup_tex': 'S_{18}', 'supersolvable': False, 'sylow': 0}
  • id: 11941774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.380.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '380.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 380, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3201186852864000.a', 'subgroup_hash': None, 'subgroup_order': 3201186852864000, 'subgroup_tex': 'A_{18}', 'supersolvable': False, 'sylow': 0}
  • id: 11941885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1140.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1140.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': 1140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1067062284288000, 'subgroup_tex': 'C_3.A_{17}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2280.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2280.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': 2280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 533531142144000, 'subgroup_tex': 'C_3\\times A_{17}', 'supersolvable': False, 'sylow': 0}
  • id: 11942107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3420.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3420.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': 3420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '355687428096000.a', 'subgroup_hash': None, 'subgroup_order': 355687428096000, 'subgroup_tex': 'S_{17}', 'supersolvable': False, 'sylow': 0}
  • id: 11942218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.4845.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4845.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': 4845, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 251073478656000, 'subgroup_tex': 'A_4.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6840.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6840.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '177843714048000.a', 'subgroup_hash': None, 'subgroup_order': 177843714048000, 'subgroup_tex': 'A_{17}', 'supersolvable': False, 'sylow': 0}
  • id: 11941442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.9690.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9690.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': 9690, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 125536739328000, 'subgroup_tex': 'A_{16}\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.14535.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14535.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': 14535, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 83691159552000, 'subgroup_tex': 'C_2^2.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.15504.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15504.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': 15504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 78460462080000, 'subgroup_tex': 'A_{15}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.19380.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19380.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': 19380, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62768369664000, 'subgroup_tex': 'C_3.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.29070._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29070.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': 29070, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41845579776000, 'subgroup_tex': 'C_2^2.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 11941497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.29070._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29070.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': 29070, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '41845579776000.a', 'subgroup_hash': None, 'subgroup_order': 41845579776000, 'subgroup_tex': 'C_2.S_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 11941508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.29070._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '29070.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': 29070, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 41845579776000, 'subgroup_tex': 'C_2.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.31008.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31008.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 31008, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 39230231040000, 'subgroup_tex': 'A_{15}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.38760._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '38760.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': 38760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31384184832000, 'subgroup_tex': 'C_3.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 11941541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.38760._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '38760.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': 38760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31384184832000, 'subgroup_tex': 'A_{14}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.58140._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '58140.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': 58140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20922789888000.b', 'subgroup_hash': None, 'subgroup_order': 20922789888000, 'subgroup_tex': 'C_2.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 11941564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.58140._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '58140.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': 58140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '20922789888000.a', 'subgroup_hash': None, 'subgroup_order': 20922789888000, 'subgroup_tex': 'S_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 11941575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.77520._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '77520.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 77520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15692092416000, 'subgroup_tex': 'A_{14}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 11941586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.77520._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '77520.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': 77520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15692092416000, 'subgroup_tex': 'A_4.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.77520._.C', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '77520.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': 77520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15692092416000, 'subgroup_tex': 'A_{13}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.92378.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '92378.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': 92378, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13168189440000.b', 'subgroup_hash': None, 'subgroup_order': 13168189440000, 'subgroup_tex': 'A_{10}^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.93024.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 93024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13076743680000, 'subgroup_tex': 'D_5.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.116280.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116280.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 116280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10461394944000.a', 'subgroup_hash': None, 'subgroup_order': 10461394944000, 'subgroup_tex': 'A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 11941641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.125970.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '125970.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': 125970, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9656672256000, 'subgroup_tex': 'A_{12}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.155040._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '155040.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 155040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7846046208000, 'subgroup_tex': 'A_{13}.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 11941664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.155040._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '155040.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': 155040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7846046208000, 'subgroup_tex': 'A_4.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11941675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.155040._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '155040.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': 155040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7846046208000.a', 'subgroup_hash': None, 'subgroup_order': 7846046208000, 'subgroup_tex': 'S_3\\times S_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11941686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.167960.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '167960.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': 167960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7242504192000, 'subgroup_tex': 'A_{11}.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.184756._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '184756.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': 184756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6584094720000.a', 'subgroup_hash': None, 'subgroup_order': 6584094720000, 'subgroup_tex': 'A_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.184756._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '184756.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': 184756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6584094720000, 'subgroup_tex': 'A_{10}.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.184756._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '184756.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': 184756, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6584094720000.a', 'subgroup_hash': None, 'subgroup_order': 6584094720000, 'subgroup_tex': 'A_{10}\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.186048.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 186048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6538371840000, 'subgroup_tex': 'A_{15}\\times D_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232560._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 232560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5230697472000, 'subgroup_tex': 'A_5.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232560._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 232560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5230697472000, 'subgroup_tex': 'A_{14}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232560._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 232560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5230697472000, 'subgroup_tex': 'C_2^2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.251940.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '251940.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 251940, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4828336128000, 'subgroup_tex': 'A_{12}.A_8', 'supersolvable': False, 'sylow': 0}
  • id: 11941786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.310080._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '310080.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': 310080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3923023104000.b', 'subgroup_hash': None, 'subgroup_order': 3923023104000, 'subgroup_tex': 'C_3.S_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11941797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.310080._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '310080.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': 310080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3923023104000.a', 'subgroup_hash': None, 'subgroup_order': 3923023104000, 'subgroup_tex': 'S_3\\times A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11941808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.310080._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '310080.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': 310080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3923023104000.c', 'subgroup_hash': None, 'subgroup_order': 3923023104000, 'subgroup_tex': 'C_3.S_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11941819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.335920.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '335920.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 335920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3621252096000, 'subgroup_tex': 'A_{11}.A_9', 'supersolvable': False, 'sylow': 0}
  • id: 11941830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.369512.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '369512.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 369512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3292047360000, 'subgroup_tex': 'A_{10}.A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 11941841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.372096.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 372096, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3269185920000, 'subgroup_tex': 'C_5.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11941852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.387600.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '387600.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': 387600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3138418483200, 'subgroup_tex': 'C_3:S_3.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465120._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 465120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2615348736000, 'subgroup_tex': 'C_2^2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11941874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465120._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.B', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 465120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2615348736000, 'subgroup_tex': 'A_5.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465120._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 465120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2615348736000, 'subgroup_tex': 'C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465120._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.D', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 465120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2615348736000, 'subgroup_tex': 'A_{14}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465120._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 465120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2615348736000.a', 'subgroup_hash': None, 'subgroup_order': 2615348736000, 'subgroup_tex': 'C_2\\times S_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11941919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.542640.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '542640.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': 542640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2241727488000, 'subgroup_tex': 'A_6.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581400.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': 581400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2092278988800, 'subgroup_tex': 'S_4.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581400.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': 581400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2092278988800, 'subgroup_tex': 'S_4.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.620160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '620160.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': 620160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1961511552000.a', 'subgroup_hash': None, 'subgroup_order': 1961511552000, 'subgroup_tex': 'C_3.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11941963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.775200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '775200.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': 775200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1569209241600, 'subgroup_tex': 'C_3:S_3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.775200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '775200.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': 775200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1569209241600, 'subgroup_tex': 'A_{14}\\times C_3:S_3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.775200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '775200.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': 775200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1569209241600, 'subgroup_tex': 'C_3:S_3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.930240._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 930240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1307674368000.a', 'subgroup_hash': None, 'subgroup_order': 1307674368000, 'subgroup_tex': 'S_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11942008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.930240._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 930240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1307674368000.b', 'subgroup_hash': None, 'subgroup_order': 1307674368000, 'subgroup_tex': 'C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11942019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1007760.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1007760.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': 1007760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1207084032000, 'subgroup_tex': 'A_7.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1085280.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1085280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1120863744000, 'subgroup_tex': 'A_6.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11942041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1162800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1162800.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': 1162800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1046139494400, 'subgroup_tex': 'A_4.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1162800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1162800.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': 1162800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1046139494400, 'subgroup_tex': 'S_4.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11942063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1162800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1162800.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': 1162800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1046139494400, 'subgroup_tex': 'A_4.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1162800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1162800.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': 1162800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1046139494400, 'subgroup_tex': 'A_{14}\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1162800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1162800.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': 1162800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1046139494400, 'subgroup_tex': 'A_4.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1162800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1162800.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': 1162800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1046139494400, 'subgroup_tex': 'A_4.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1395360.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 1395360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 871782912000, 'subgroup_tex': 'D_5.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1511640.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1511640.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': 1511640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 804722688000, 'subgroup_tex': 'A_8.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1550400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1550400.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': 1550400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 784604620800, 'subgroup_tex': 'C_3:S_3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11942141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1550400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1550400.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': 1550400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 784604620800, 'subgroup_tex': 'C_3^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1550400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1550400.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': 1550400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 784604620800, 'subgroup_tex': 'C_3^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1627920.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 1627920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 747242496000, 'subgroup_tex': 'A_{13}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1744200.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1744200.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': 1744200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 697426329600, 'subgroup_tex': 'D_4.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1847560.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1847560.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': 1847560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 658409472000, 'subgroup_tex': 'A_9.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.1860480.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '653837184000.a', 'subgroup_hash': None, 'subgroup_order': 653837184000, 'subgroup_tex': 'A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 11942207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2015520.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2015520.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2015520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 603542016000, 'subgroup_tex': 'A_7.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2325600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2325600.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': 2325600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 523069747200, 'subgroup_tex': 'A_4.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11942230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2325600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2325600.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': 2325600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 523069747200, 'subgroup_tex': 'A_4.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11942241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2325600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2325600.C', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 2325600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 523069747200, 'subgroup_tex': 'A_{13}\\times \\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 11942252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2325600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2325600.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': 2325600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '523069747200.a', 'subgroup_hash': None, 'subgroup_order': 523069747200, 'subgroup_tex': 'S_3\\times S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11942260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2325600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2325600.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': 2325600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '523069747200.a', 'subgroup_hash': None, 'subgroup_order': 523069747200, 'subgroup_tex': 'S_3\\times S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11942261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2713200.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2713200.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': 2713200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 448345497600, 'subgroup_tex': 'C_3:S_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2790720.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2790720.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': 2790720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 435891456000, 'subgroup_tex': 'A_{14}\\times D_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3023280.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3023280.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3023280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 402361344000, 'subgroup_tex': 'A_8.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3100800.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3100800.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': 3100800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 392302310400, 'subgroup_tex': 'C_3^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11942265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3255840._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3255840.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': 3255840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 373621248000, 'subgroup_tex': 'A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3255840._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3255840.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': 3255840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 373621248000, 'subgroup_tex': 'A_{13}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3255840._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3255840.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': 3255840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 373621248000, 'subgroup_tex': 'A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3255840._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3255840.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': 3255840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 373621248000, 'subgroup_tex': 'A_5.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3488400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3488400.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': 3488400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 348713164800, 'subgroup_tex': 'C_2^2\\times S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11942271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3488400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3488400.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': 3488400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 348713164800, 'subgroup_tex': 'C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3488400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3488400.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': 3488400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 348713164800, 'subgroup_tex': 'C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3488400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3488400.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': 3488400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 348713164800, 'subgroup_tex': 'D_4.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11942274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3488400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3488400.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': 3488400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 348713164800, 'subgroup_tex': 'C_4.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3488400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3488400.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': 3488400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 348713164800, 'subgroup_tex': 'C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3488400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3488400.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': 3488400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 348713164800, 'subgroup_tex': 'C_4.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3527160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3527160.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': 3527160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 344881152000, 'subgroup_tex': 'A_{12}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3695120.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3695120.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3695120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 329204736000, 'subgroup_tex': 'A_9.A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 11941445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.3779100.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3779100.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3779100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 321889075200, 'subgroup_tex': 'A_{12}\\times C_2^3.\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 11941446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.4408950.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4408950.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': 4408950, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 275904921600, 'subgroup_tex': 'A_4^2.C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.4618900.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4618900.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': 4618900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '263363788800.a', 'subgroup_hash': None, 'subgroup_order': 263363788800, 'subgroup_tex': 'S_9\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.4651200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4651200.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': 4651200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '261534873600.b', 'subgroup_hash': None, 'subgroup_order': 261534873600, 'subgroup_tex': 'C_3.S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.4651200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4651200.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': 4651200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '261534873600.b', 'subgroup_hash': None, 'subgroup_order': 261534873600, 'subgroup_tex': 'C_3.S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.4651200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4651200.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': 4651200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '261534873600.c', 'subgroup_hash': None, 'subgroup_order': 261534873600, 'subgroup_tex': 'C_3.S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.4651200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4651200.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': 4651200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '261534873600.a', 'subgroup_hash': None, 'subgroup_order': 261534873600, 'subgroup_tex': 'S_3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.4651200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4651200.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': 4651200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '261534873600.c', 'subgroup_hash': None, 'subgroup_order': 261534873600, 'subgroup_tex': 'C_3.S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.4651200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4651200.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': 4651200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '261534873600.a', 'subgroup_hash': None, 'subgroup_order': 261534873600, 'subgroup_tex': 'S_3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.5426400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5426400.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': 5426400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 224172748800, 'subgroup_tex': 'C_3:S_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.5426400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5426400.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': 5426400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 224172748800, 'subgroup_tex': '(C_3\\times A_4).A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.5426400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5426400.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': 5426400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 224172748800, 'subgroup_tex': '(C_3\\times A_4).A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.5426400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5426400.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': 5426400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 224172748800, 'subgroup_tex': 'C_3:S_3.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.5581440.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5581440.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': 5581440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 217945728000, 'subgroup_tex': 'C_5.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6046560.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6046560.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': 6046560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 201180672000, 'subgroup_tex': 'A_{11}.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6511680._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6511680.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6511680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 186810624000, 'subgroup_tex': 'A_{13}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6511680._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6511680.B', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6511680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 186810624000, 'subgroup_tex': 'A_5.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6976800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6976800.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': 6976800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 174356582400, 'subgroup_tex': 'C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6976800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6976800.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': 6976800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 174356582400, 'subgroup_tex': 'C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6976800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6976800.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': 6976800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '174356582400.a', 'subgroup_hash': None, 'subgroup_order': 174356582400, 'subgroup_tex': 'C_2.S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6976800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6976800.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': 6976800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '174356582400.a', 'subgroup_hash': None, 'subgroup_order': 174356582400, 'subgroup_tex': 'C_2.S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6976800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6976800.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': 6976800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '174356582400.a', 'subgroup_hash': None, 'subgroup_order': 174356582400, 'subgroup_tex': 'C_2.S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6976800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6976800.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': 6976800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 174356582400, 'subgroup_tex': 'C_4.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.6976800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6976800.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': 6976800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 174356582400, 'subgroup_tex': 'C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.7054320._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7054320.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': 7054320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172440576000, 'subgroup_tex': 'A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.7054320._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7054320.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': 7054320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172440576000, 'subgroup_tex': 'A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.7054320._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7054320.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': 7054320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172440576000, 'subgroup_tex': 'A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.7054320._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7054320.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': 7054320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 172440576000, 'subgroup_tex': '(C_3\\times A_5).A_{12}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.8139600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8139600.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': 8139600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 149448499200, 'subgroup_tex': 'S_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.8139600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8139600.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': 8139600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 149448499200, 'subgroup_tex': 'S_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.8139600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8139600.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': 8139600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 149448499200, 'subgroup_tex': 'C_3:D_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.8314020.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8314020.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': 8314020, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 146313216000, 'subgroup_tex': 'A_{10}.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.8817900._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8817900.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': 8817900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137952460800, 'subgroup_tex': '\\PSOPlusPlus(4,3).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.8817900._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8817900.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': 8817900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137952460800, 'subgroup_tex': 'A_4^2.C_2^2\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.8817900._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8817900.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': 8817900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137952460800, 'subgroup_tex': '\\PSOPlusPlus(4,3).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.9237800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9237800.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': 9237800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 131681894400, 'subgroup_tex': 'A_9.A_9.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.9237800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9237800.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': 9237800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '131681894400.b', 'subgroup_hash': None, 'subgroup_order': 131681894400, 'subgroup_tex': 'A_9^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.9237800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9237800.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': 9237800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '131681894400.a', 'subgroup_hash': None, 'subgroup_order': 131681894400, 'subgroup_tex': 'A_9^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.9302400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9302400.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': 9302400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '130767436800.a', 'subgroup_hash': None, 'subgroup_order': 130767436800, 'subgroup_tex': 'C_3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941488
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.9302400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9302400.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': 9302400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '130767436800.a', 'subgroup_hash': None, 'subgroup_order': 130767436800, 'subgroup_tex': 'C_3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941489
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.9302400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9302400.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': 9302400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 130767436800, 'subgroup_tex': 'C_7:C_3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941490
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.9767520.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9767520.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': 9767520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 124540416000, 'subgroup_tex': 'F_5.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.10852800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10852800.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': 10852800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 112086374400, 'subgroup_tex': '(C_3\\times A_4).A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941492
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.10852800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10852800.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': 10852800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 112086374400, 'subgroup_tex': 'C_3:S_3.C_2\\times A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941493
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.10852800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10852800.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': 10852800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 112086374400, 'subgroup_tex': 'C_3:S_3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941494
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.10852800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '10852800.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': 10852800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 112086374400, 'subgroup_tex': 'C_3:S_3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.12093120._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12093120.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': 12093120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100590336000, 'subgroup_tex': 'A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.12093120._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12093120.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': 12093120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100590336000, 'subgroup_tex': 'A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.12093120._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12093120.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': 12093120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 100590336000, 'subgroup_tex': 'A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.13226850.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13226850.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': 13226850, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 91968307200, 'subgroup_tex': 'C_2^3:S_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.13953600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13953600.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': 13953600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '87178291200.a', 'subgroup_hash': None, 'subgroup_order': 87178291200, 'subgroup_tex': 'S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.13953600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13953600.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': 13953600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '87178291200.a', 'subgroup_hash': None, 'subgroup_order': 87178291200, 'subgroup_tex': 'S_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.13953600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '13953600.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': 13953600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '87178291200.b', 'subgroup_hash': None, 'subgroup_order': 87178291200, 'subgroup_tex': 'C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.14108640._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14108640.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 14108640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 86220288000, 'subgroup_tex': 'A_{12}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 11941504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.14108640._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14108640.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': 14108640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 86220288000, 'subgroup_tex': '(C_3\\times A_5).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.14108640._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14108640.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': 14108640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 86220288000, 'subgroup_tex': '(C_3\\times A_5).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.14108640._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14108640.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': 14108640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 86220288000, 'subgroup_tex': '(C_3\\times A_5).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.14108640._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '14108640.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': 14108640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 86220288000, 'subgroup_tex': 'C_3.A_6.A_{11}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.15116400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15116400.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': 15116400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 80472268800, 'subgroup_tex': 'A_{12}.\\SO(3,7)', 'supersolvable': False, 'sylow': 0}
  • id: 11941510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': '(C_2\\times C_6).A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'A_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'D_6.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'A_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'S_4\\times A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'A_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'A_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'C_3:D_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'C_3:C_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'C_3:C_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'D_6.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'S_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': '(C_2\\times C_6).A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16279200._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16279200.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': 16279200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 74724249600, 'subgroup_tex': 'S_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16628040._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16628040.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': 16628040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 73156608000, 'subgroup_tex': 'A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16628040._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16628040.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': 16628040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 73156608000, 'subgroup_tex': 'A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.16628040._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16628040.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': 16628040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 73156608000, 'subgroup_tex': 'A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.17635800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '17635800.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': 17635800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 68976230400, 'subgroup_tex': '\\PSOPlusPlus(4,3).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.17635800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '17635800.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': 17635800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 68976230400, 'subgroup_tex': 'A_4^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.17635800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '17635800.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': 17635800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 68976230400, 'subgroup_tex': 'A_4\\wr C_2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.18475600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18475600.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': 18475600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 65840947200, 'subgroup_tex': 'A_9.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.18475600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18475600.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': 18475600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 65840947200, 'subgroup_tex': 'A_9.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.18475600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18475600.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': 18475600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '65840947200.a', 'subgroup_hash': None, 'subgroup_order': 65840947200, 'subgroup_tex': 'A_9\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.18604800.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18604800.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': 18604800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 65383718400, 'subgroup_tex': 'C_7:C_3\\times A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.19535040._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19535040.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': 19535040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62270208000, 'subgroup_tex': 'D_5.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.19535040._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19535040.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': 19535040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62270208000, 'subgroup_tex': 'F_5\\times A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.19535040._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19535040.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': 19535040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 62270208000, 'subgroup_tex': 'D_5.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.21162960._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21162960.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': 21162960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 57480192000, 'subgroup_tex': 'A_4.A_{11}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.21162960._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21162960.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': 21162960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 57480192000, 'subgroup_tex': 'A_5.A_{12}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.21162960._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21162960.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': 21162960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 57480192000, 'subgroup_tex': 'A_{12}.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.21705600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21705600.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': 21705600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 56043187200, 'subgroup_tex': 'C_3:S_3.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.21705600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21705600.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': 21705600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 56043187200, 'subgroup_tex': 'C_3^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.21705600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '21705600.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': 21705600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 56043187200, 'subgroup_tex': 'C_3^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.22170720.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '22170720.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': 22170720, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 54867456000, 'subgroup_tex': 'C_3.A_7.A_{10}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.23279256.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23279256.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': 23279256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 52254720000, 'subgroup_tex': 'A_{10}.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.24186240.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24186240.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24186240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 50295168000, 'subgroup_tex': 'A_{11}.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 11941549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.24418800.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24418800.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': 24418800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 49816166400, 'subgroup_tex': 'D_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.26453700._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26453700.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': 26453700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45984153600, 'subgroup_tex': 'C_2^3:S_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.26453700._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26453700.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': 26453700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45984153600, 'subgroup_tex': 'C_2^3:A_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.26453700._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26453700.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': 26453700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45984153600, 'subgroup_tex': 'C_2^3:A_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.26453700._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26453700.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': 26453700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45984153600, 'subgroup_tex': '\\GL(2,\\mathbb{Z}/4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.26453700._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '26453700.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': 26453700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45984153600, 'subgroup_tex': 'C_2^2:S_4:C_2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.27713400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27713400.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': 27713400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 43893964800, 'subgroup_tex': 'C_3.A_8.A_9.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.27907200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27907200.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 27907200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '43589145600.a', 'subgroup_hash': None, 'subgroup_order': 43589145600, 'subgroup_tex': 'A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 11941559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.27907200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27907200.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': 27907200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 43589145600, 'subgroup_tex': 'C_7.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.28217280._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28217280.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': 28217280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 43110144000, 'subgroup_tex': '(C_3\\times A_5).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.28217280._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28217280.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': 28217280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 43110144000, 'subgroup_tex': 'C_3.A_6.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.28217280._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28217280.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': 28217280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 43110144000, 'subgroup_tex': 'C_3.A_6.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.28217280._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '28217280.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': 28217280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 43110144000, 'subgroup_tex': 'C_3.A_6.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.30232800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30232800.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30232800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 40236134400, 'subgroup_tex': 'A_{12}.\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 11941566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.30232800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30232800.B', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 30232800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 40236134400, 'subgroup_tex': 'A_{12}\\times \\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 11941567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.30232800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '30232800.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': 30232800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 40236134400, 'subgroup_tex': 'A_{12}\\times F_8:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 11941568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.31177575.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31177575.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': 31177575, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 39016857600, 'subgroup_tex': 'A_4.A_8^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': '(C_2\\times C_6).A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'A_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'A_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'C_6.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'D_6.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'A_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'C_6.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'C_3:C_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'C_6.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'C_6.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '37362124800.a', 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'S_3\\times S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '37362124800.a', 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'S_3\\times S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.32558400._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32558400.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': 32558400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '37362124800.a', 'subgroup_hash': None, 'subgroup_order': 37362124800, 'subgroup_tex': 'S_3\\times S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.33256080.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '33256080.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 33256080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 36578304000, 'subgroup_tex': 'A_{10}.A_8', 'supersolvable': False, 'sylow': 0}
  • id: 11941584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.35271600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35271600.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': 35271600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 34488115200, 'subgroup_tex': 'A_4^2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.35271600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35271600.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': 35271600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 34488115200, 'subgroup_tex': 'S_3\\wr C_2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.35271600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '35271600.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': 35271600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 34488115200, 'subgroup_tex': 'C_3:S_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.36951200.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36951200.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36951200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 32920473600, 'subgroup_tex': 'A_9.A_9', 'supersolvable': False, 'sylow': 0}
  • id: 11941589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.38798760.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '38798760.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': 38798760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31352832000, 'subgroup_tex': 'A_4.A_{10}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.39070080._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39070080.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': 39070080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31135104000, 'subgroup_tex': 'A_{13}\\times D_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.39070080._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39070080.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': 39070080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31135104000, 'subgroup_tex': 'C_5.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.39070080._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39070080.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': 39070080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 31135104000, 'subgroup_tex': 'C_5.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.39680550.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '39680550.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': 39680550, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 30656102400, 'subgroup_tex': 'C_2\\wr C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.40310400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40310400.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': 40310400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 30177100800, 'subgroup_tex': '\\SL(2,8).C_3\\times A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_5.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_{12}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_4.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_4.A_{11}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_4.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_{12}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_5.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_5.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_{12}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'C_3:F_5.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.42325920._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '42325920.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': 42325920, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28740096000, 'subgroup_tex': 'A_6.A_{11}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.43411200.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '43411200.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': 43411200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28021593600, 'subgroup_tex': 'C_3^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.44341440._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44341440.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': 44341440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 27433728000, 'subgroup_tex': 'C_3.A_7.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.44341440._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44341440.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': 44341440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 27433728000, 'subgroup_tex': 'C_3.A_7.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.44341440._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '44341440.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': 44341440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 27433728000, 'subgroup_tex': 'C_3.A_7.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.45349200.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '45349200.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 45349200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26824089600, 'subgroup_tex': 'C_2^3.\\PSL(2,7)\\times A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.46558512._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46558512.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': 46558512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26127360000, 'subgroup_tex': 'A_5.A_5.A_{10}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.46558512._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46558512.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': 46558512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26127360000, 'subgroup_tex': 'A_{10}\\times A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.46558512._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46558512.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': 46558512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26127360000, 'subgroup_tex': 'A_{10}.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.47028800.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '47028800.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': 47028800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 25866086400, 'subgroup_tex': 'C_3^3.S_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.48837600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48837600.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': 48837600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24908083200, 'subgroup_tex': 'C_2^2\\times S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.48837600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48837600.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': 48837600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24908083200, 'subgroup_tex': 'C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.48837600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48837600.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': 48837600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24908083200, 'subgroup_tex': 'C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.48837600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48837600.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': 48837600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24908083200, 'subgroup_tex': 'C_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.48837600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48837600.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': 48837600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24908083200, 'subgroup_tex': 'D_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.48837600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48837600.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': 48837600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24908083200, 'subgroup_tex': 'C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.48837600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48837600.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': 48837600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24908083200, 'subgroup_tex': 'C_4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': 'C_2^2:S_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': '(C_2^2\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': 'C_2^3:A_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': 'C_2^2\\wr C_2:C_3.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': '(C_2\\times S_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': '(C_2^2\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': 'A_4:C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': 'A_4:C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': '(C_2\\times S_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': '\\GL(2,\\mathbb{Z}/4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': 'C_2^2:S_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': '(C_2\\times S_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.52907400._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '52907400.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': 52907400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22992076800, 'subgroup_tex': 'A_4^2.C_2^2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.55426800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55426800.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': 55426800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 21946982400, 'subgroup_tex': 'C_3.A_8.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.55426800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55426800.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': 55426800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 21946982400, 'subgroup_tex': 'C_3.A_8.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.55426800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55426800.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': 55426800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 21946982400, 'subgroup_tex': 'C_3.A_8.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.55426800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55426800.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': 55426800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 21946982400, 'subgroup_tex': 'A_4.A_9.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.55814400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '55814400.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': 55814400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 21794572800, 'subgroup_tex': 'C_7.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.56434560.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '56434560.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': 56434560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 21555072000, 'subgroup_tex': 'C_3.A_6.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.58198140.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '58198140.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': 58198140, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 20901888000, 'subgroup_tex': 'A_8.A_6^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.62355150._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62355150.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': 62355150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19508428800, 'subgroup_tex': 'A_4.A_8.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.62355150._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62355150.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': 62355150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19508428800, 'subgroup_tex': 'A_4.A_8^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.62355150._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62355150.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': 62355150, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19508428800, 'subgroup_tex': 'A_4.A_8^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.63488880.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '63488880.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': 63488880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19160064000, 'subgroup_tex': 'C_2^2.A_{11}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.65116800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '65116800.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': 65116800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18681062400.b', 'subgroup_hash': None, 'subgroup_order': 18681062400, 'subgroup_tex': 'C_3.S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.65116800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '65116800.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': 65116800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18681062400.b', 'subgroup_hash': None, 'subgroup_order': 18681062400, 'subgroup_tex': 'C_3.S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.65116800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '65116800.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': 65116800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18681062400, 'subgroup_tex': 'C_6.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.65116800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '65116800.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': 65116800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18681062400.b', 'subgroup_hash': None, 'subgroup_order': 18681062400, 'subgroup_tex': 'C_3.S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.65116800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '65116800.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': 65116800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18681062400.c', 'subgroup_hash': None, 'subgroup_order': 18681062400, 'subgroup_tex': 'C_3.S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.65116800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '65116800.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': 65116800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18681062400.a', 'subgroup_hash': None, 'subgroup_order': 18681062400, 'subgroup_tex': 'A_{13}\\times S_3', 'supersolvable': False, 'sylow': 0}
  • id: 11941658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.65116800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '65116800.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': 65116800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18681062400.a', 'subgroup_hash': None, 'subgroup_order': 18681062400, 'subgroup_tex': 'A_{13}\\times S_3', 'supersolvable': False, 'sylow': 0}
  • id: 11941659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.65116800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '65116800.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': 65116800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '18681062400.c', 'subgroup_hash': None, 'subgroup_order': 18681062400, 'subgroup_tex': 'C_3.S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.66512160._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66512160.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': 66512160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18289152000, 'subgroup_tex': 'A_6.A_7^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.66512160._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '66512160.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': 66512160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18289152000, 'subgroup_tex': 'A_7.A_{10}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': 'S_3^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': 'S_3^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': 'C_3:S_3.C_2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': 'C_3:S_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': '(C_3\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': '(C_3\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': 'S_3\\wr C_2\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': 'S_3^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': 'S_3^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.70543200._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '70543200.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': 70543200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17244057600, 'subgroup_tex': 'C_3:S_3.C_2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.77597520._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '77597520.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': 77597520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15676416000, 'subgroup_tex': 'A_4.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.77597520._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '77597520.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': 77597520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15676416000, 'subgroup_tex': 'A_4.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.77597520._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '77597520.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': 77597520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15676416000, 'subgroup_tex': 'A_4.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.77597520._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '77597520.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': 77597520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15676416000, 'subgroup_tex': 'A_6.A_9.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.78140160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '78140160.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': 78140160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15567552000, 'subgroup_tex': 'C_5.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.79361100._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '79361100.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': 79361100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15328051200, 'subgroup_tex': 'Q_8:C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.79361100._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '79361100.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': 79361100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15328051200, 'subgroup_tex': 'C_2^2\\wr C_2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.79361100._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '79361100.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': 79361100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15328051200, 'subgroup_tex': 'C_2^2.D_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.79361100._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '79361100.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': 79361100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15328051200, 'subgroup_tex': 'C_2^2.D_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.79361100._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '79361100.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': 79361100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15328051200, 'subgroup_tex': 'Q_8:C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.79361100._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '79361100.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': 79361100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15328051200, 'subgroup_tex': 'C_2\\wr C_2^2\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.79361100._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '79361100.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': 79361100, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15328051200, 'subgroup_tex': 'C_2^2\\wr C_2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.83140200.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '83140200.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': 83140200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14631321600, 'subgroup_tex': 'A_8.A_9.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': 'A_5.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.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': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': 'A_6.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.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': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': 'A_4.A_{11}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.D', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': 'A_{12}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.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': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': 'C_3:F_5.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.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': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': '(C_3\\times D_5).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.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': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': 'A_6.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.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': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': 'A_6.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.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': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': '(C_3\\times D_5).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.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': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': 'C_3.A_{11}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.84651840._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '84651840.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': 84651840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14370048000, 'subgroup_tex': '(C_3\\times A_5).A_{11}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.88682880.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '88682880.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': 88682880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13716864000, 'subgroup_tex': 'C_3.A_7.A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 11941702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.90698400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '90698400.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': 90698400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13412044800, 'subgroup_tex': 'A_{12}\\times F_8', 'supersolvable': False, 'sylow': 0}
  • id: 11941703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.93117024._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93117024.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': 93117024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13063680000, 'subgroup_tex': 'A_5.A_5.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.93117024._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93117024.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': 93117024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13063680000, 'subgroup_tex': 'A_5.A_5.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.93117024._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93117024.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': 93117024, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13063680000, 'subgroup_tex': 'A_{10}.A_5^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.93532725.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93532725.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': 93532725, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13005619200, 'subgroup_tex': 'C_2^2.A_8^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.94057600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '94057600.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': 94057600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12933043200, 'subgroup_tex': 'C_3^3.S_4\\times A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.94057600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '94057600.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': 94057600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12933043200, 'subgroup_tex': 'C_3^3:C_2^2:C_3.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.94057600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '94057600.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': 94057600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12933043200, 'subgroup_tex': 'C_3^3:C_2^2:C_3.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.97675200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '97675200.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': 97675200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12454041600, 'subgroup_tex': 'C_2^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.97675200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '97675200.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': 97675200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12454041600.a', 'subgroup_hash': None, 'subgroup_order': 12454041600, 'subgroup_tex': 'C_2\\times S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.97675200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '97675200.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': 97675200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12454041600, 'subgroup_tex': 'C_2^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.97675200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '97675200.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': 97675200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12454041600, 'subgroup_tex': 'C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.97675200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '97675200.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': 97675200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12454041600.a', 'subgroup_hash': None, 'subgroup_order': 12454041600, 'subgroup_tex': 'C_2\\times S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.97675200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '97675200.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': 97675200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12454041600, 'subgroup_tex': 'C_4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.97675200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '97675200.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': 97675200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '12454041600.a', 'subgroup_hash': None, 'subgroup_order': 12454041600, 'subgroup_tex': 'C_2\\times S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.99768240.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '99768240.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': 99768240, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12192768000, 'subgroup_tex': 'A_7.A_5.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'C_2^4:C_3.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '(C_2^2\\times A_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '(C_2\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '(C_2\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '(C_2\\times S_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'A_4:C_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '(C_2\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '(C_2\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '(C_2\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'C_2\\times S_4\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '\\PSOPlusPlus(4,3).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '(C_2\\times A_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'S_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'S_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'S_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '\\PSOPlusPlus(4,3).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'S_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'S_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'S_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'A_{11}\\times A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '\\SL(2,3).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': 'C_3:D_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.105814800._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '105814800.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': 105814800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11496038400, 'subgroup_tex': '(C_2\\times S_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.110853600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110853600.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': 110853600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10973491200, 'subgroup_tex': 'C_3.A_8.A_9', 'supersolvable': False, 'sylow': 0}
  • id: 11941746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.110853600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110853600.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': 110853600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10973491200, 'subgroup_tex': 'A_4.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.110853600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110853600.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': 110853600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10973491200, 'subgroup_tex': 'A_4.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.110853600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '110853600.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': 110853600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10973491200, 'subgroup_tex': 'A_4.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.116396280._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116396280.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': 116396280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10450944000, 'subgroup_tex': 'A_6.A_8.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.116396280._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116396280.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': 116396280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10450944000, 'subgroup_tex': 'A_8.A_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.116396280._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116396280.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': 116396280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10450944000, 'subgroup_tex': 'A_8.A_6^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.116396280._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116396280.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': 116396280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10450944000, 'subgroup_tex': 'C_2^2.A_{10}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.120931200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120931200.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 120931200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10059033600, 'subgroup_tex': 'A_{11}.\\SL(2,8)', 'supersolvable': False, 'sylow': 0}
  • id: 11941755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.120931200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '120931200.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': 120931200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10059033600, 'subgroup_tex': 'C_7:C_3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.124710300._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124710300.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': 124710300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9754214400, 'subgroup_tex': 'A_4.A_8.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.124710300._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124710300.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': 124710300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9754214400, 'subgroup_tex': 'A_4.A_8.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.124710300._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124710300.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': 124710300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9754214400, 'subgroup_tex': 'A_4.A_8^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.124710300._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124710300.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': 124710300, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9754214400, 'subgroup_tex': 'C_3.A_8^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.126977760._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126977760.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': 126977760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9580032000, 'subgroup_tex': 'C_2^2.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.126977760._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126977760.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': 126977760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9580032000, 'subgroup_tex': 'C_2.A_{11}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.126977760._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126977760.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': 126977760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9580032000, 'subgroup_tex': 'C_2^2.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.126977760._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126977760.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': 126977760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9580032000, 'subgroup_tex': 'C_2^2.A_{11}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.126977760._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126977760.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': 126977760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9580032000, 'subgroup_tex': 'C_2.A_{11}.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.126977760._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126977760.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': 126977760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9580032000, 'subgroup_tex': 'C_2.A_{11}.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.126977760._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126977760.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': 126977760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9580032000, 'subgroup_tex': 'C_2.A_{11}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.126977760._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126977760.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': 126977760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9580032000, 'subgroup_tex': 'A_4:F_5.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.126977760._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '126977760.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': 126977760, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9580032000, 'subgroup_tex': 'F_5.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.130233600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '130233600.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': 130233600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9340531200.a', 'subgroup_hash': None, 'subgroup_order': 9340531200, 'subgroup_tex': 'C_3\\times A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.130233600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '130233600.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': 130233600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '9340531200.a', 'subgroup_hash': None, 'subgroup_order': 9340531200, 'subgroup_tex': 'C_3\\times A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.133024320._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '133024320.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': 133024320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9144576000, 'subgroup_tex': 'A_7.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.133024320._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '133024320.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': 133024320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9144576000, 'subgroup_tex': 'A_7.A_6.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.133024320._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '133024320.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': 133024320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9144576000, 'subgroup_tex': 'A_6.A_7^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.133024320._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '133024320.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': 133024320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9144576000, 'subgroup_tex': 'A_6.A_7^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.133024320._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '133024320.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': 133024320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9144576000, 'subgroup_tex': 'A_7.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.133024320._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '133024320.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': 133024320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9144576000, 'subgroup_tex': 'A_7.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': '(C_3\\times A_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': 'C_3:S_3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': 'S_3^2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': 'C_3:S_3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': 'S_3^2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': 'C_3:S_3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': 'C_3:S_3.C_2\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': 'C_3:S_3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': '(C_3\\times S_3).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': '(C_3\\times S_3).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': '(C_3\\times S_3).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': '(C_3\\times S_3).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': 'C_3:S_3\\wr C_2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.141086400._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '141086400.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': 141086400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8622028800, 'subgroup_tex': '\\ASL(2,3).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.155195040._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '155195040.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': 155195040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7838208000, 'subgroup_tex': 'A_4.A_{10}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 11941796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.155195040._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '155195040.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': 155195040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7838208000, 'subgroup_tex': 'A_6.A_9.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.155195040._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '155195040.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': 155195040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7838208000, 'subgroup_tex': 'A_6.A_9.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.155195040._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '155195040.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': 155195040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7838208000, 'subgroup_tex': 'A_6.A_9.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.155195040._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '155195040.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': 155195040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7838208000, 'subgroup_tex': 'C_3.A_{10}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'Q_8:C_2^2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'C_2^4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'C_2^2\\wr C_2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': '(C_2\\times D_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': '(C_2\\times D_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'C_2^2\\wr C_2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': '(C_2\\times D_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'C_2^2.D_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': '(C_2\\times D_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'C_2^2:C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'C_2^2.D_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': '(C_2\\times D_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': '(C_2\\times D_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'C_2^2:C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'D_4:C_2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'D_4:C_2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'C_2^2:C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.158722200._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '158722200.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': 158722200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7664025600, 'subgroup_tex': 'C_2^3:S_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.166280400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '166280400.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': 166280400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7315660800, 'subgroup_tex': 'A_8.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.166280400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '166280400.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': 166280400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7315660800, 'subgroup_tex': 'A_8.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.166280400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '166280400.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': 166280400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7315660800, 'subgroup_tex': 'A_8.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.166280400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '166280400.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': 166280400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7315660800, 'subgroup_tex': 'C_2^2.A_9.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': 'A_6\\times A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.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': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': 'C_{15}.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.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': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': '(C_3\\times D_5).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.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': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': 'C_{15}.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.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': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': '(C_3\\times A_5).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.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': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': 'C_3.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.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': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': 'C_3.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.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': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': 'C_3.A_{11}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.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': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': '(C_3\\times A_5).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.169303680._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '169303680.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': 169303680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7185024000, 'subgroup_tex': '(C_3\\times A_5).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.174594420.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '174594420.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': 174594420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6967296000, 'subgroup_tex': 'C_2^4.A_{10}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.181396800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '181396800.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': 181396800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6706022400, 'subgroup_tex': '\\PSL(2,7).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.181396800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '181396800.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': 181396800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6706022400, 'subgroup_tex': 'A_{11}.\\PSL(2,7).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.186234048.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186234048.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 186234048, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6531840000, 'subgroup_tex': 'A_5.A_5.A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 11941840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.187065450._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '187065450.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': 187065450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6502809600, 'subgroup_tex': 'C_2^2.A_8^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.187065450._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '187065450.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': 187065450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6502809600, 'subgroup_tex': 'C_2.A_8^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.187065450._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '187065450.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': 187065450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6502809600, 'subgroup_tex': 'C_2^2.A_8.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.187065450._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '187065450.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': 187065450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6502809600, 'subgroup_tex': 'C_2^2.A_8^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.187065450._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '187065450.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': 187065450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6502809600, 'subgroup_tex': 'C_2.A_8^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.187065450._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '187065450.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': 187065450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6502809600, 'subgroup_tex': 'C_2.A_8^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.187065450._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '187065450.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': 187065450, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6502809600, 'subgroup_tex': 'C_2.A_8^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.188115200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '188115200.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': 188115200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6466521600, 'subgroup_tex': 'C_3^3:C_2^2:C_3.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.188115200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '188115200.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': 188115200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6466521600, 'subgroup_tex': 'C_3\\wr C_3:C_2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.195350400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '195350400.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': 195350400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6227020800.a', 'subgroup_hash': None, 'subgroup_order': 6227020800, 'subgroup_tex': 'S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.195350400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '195350400.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': 195350400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6227020800.a', 'subgroup_hash': None, 'subgroup_order': 6227020800, 'subgroup_tex': 'S_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.195350400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '195350400.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': 195350400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6227020800.b', 'subgroup_hash': None, 'subgroup_order': 6227020800, 'subgroup_tex': 'C_2\\times A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11941854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.199536480._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '199536480.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': 199536480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6096384000, 'subgroup_tex': 'A_7.A_5.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.199536480._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '199536480.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': 199536480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6096384000, 'subgroup_tex': 'A_7.A_5.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.199536480._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '199536480.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': 199536480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6096384000, 'subgroup_tex': 'A_7.A_5.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'A_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'A_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': '(C_2\\times A_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': '(C_2\\times C_6).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'A_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'S_4\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'S_{12}\\times A_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'A_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': '\\PSOPlusPlus(4,3).A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'S_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'A_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'S_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': '(C_2\\times A_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'A_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': '\\SL(2,3).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': '(C_2\\times C_6).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'C_3:C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'A_4\\wr C_2.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'A_{12}\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'D_6.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'A_4^2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'C_3:D_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'D_6.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'C_3:C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'S_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': '(C_2\\times A_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'S_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': '(S_3\\times S_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': 'D_6.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.211629600._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '211629600.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': 211629600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5748019200, 'subgroup_tex': '(S_3\\times S_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.221707200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '221707200.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': 221707200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5486745600, 'subgroup_tex': 'A_4.A_9.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 11941892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.221707200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '221707200.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': 221707200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5486745600, 'subgroup_tex': 'C_3.A_9.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'C_2^2.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'A_6.A_8.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'A_8.A_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'C_2^2.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'A_6.A_8.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'C_2^2.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'A_9.A_5^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'A_4.A_{10}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.232792560._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232792560.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': 232792560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5225472000, 'subgroup_tex': 'A_4.A_5.A_{10}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.241862400.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '241862400.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': 241862400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5029516800, 'subgroup_tex': 'A_{12}\\times C_7:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 11941909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.249420600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '249420600.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': 249420600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4877107200, 'subgroup_tex': 'A_4.A_8.A_8', 'supersolvable': False, 'sylow': 0}
  • id: 11941910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.249420600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '249420600.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': 249420600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4877107200, 'subgroup_tex': 'C_3.A_8^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11941911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.249420600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '249420600.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': 249420600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4877107200, 'subgroup_tex': 'C_3.A_8^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.249420600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '249420600.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': 249420600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4877107200, 'subgroup_tex': 'C_3.A_8.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.249420600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '249420600.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': 249420600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4877107200, 'subgroup_tex': 'C_2^3.\\PSL(2,7).A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'C_2^2.A_{11}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'D_5.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'C_2.A_{11}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'C_2.A_{11}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'C_2.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'C_2.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'C_2.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'C_2.A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': '(D_5\\times A_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'F_5\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'D_5.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'A_4:F_5.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': '(D_5\\times A_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'A_{11}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'A_{11}.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.253955520._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '253955520.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': 253955520, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4790016000, 'subgroup_tex': 'A_5.A_{11}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.266048640._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '266048640.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 266048640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4572288000, 'subgroup_tex': 'A_{10}\\times A_7', 'supersolvable': False, 'sylow': 0}
  • id: 11941933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.266048640._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '266048640.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': 266048640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4572288000, 'subgroup_tex': 'A_7.A_6.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.266048640._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '266048640.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': 266048640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4572288000, 'subgroup_tex': 'A_6.A_7^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.266048640._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '266048640.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': 266048640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4572288000, 'subgroup_tex': 'A_7.A_6.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.279351072.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '279351072.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': 279351072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4354560000, 'subgroup_tex': 'D_5.A_5.A_{10}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11941937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3:S_3.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3^3:C_2^2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': '(C_3\\times S_3).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': '(C_3\\times S_3).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': '\\ASL(2,3)\\times A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3:S_3\\wr C_2.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3^3:C_2^2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3^3:C_2^2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': 'C_3^3:C_2^2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': '(C_3\\times C_3:S_3.C_2).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.282172800._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '282172800.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': 282172800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4311014400, 'subgroup_tex': '(C_3\\times C_3:S_3.C_2).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.290990700.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '290990700.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': 290990700, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4180377600, 'subgroup_tex': 'A_4^2.D_4.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.310390080._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '310390080.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 310390080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3919104000, 'subgroup_tex': 'A_6.A_9.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11941956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.310390080._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '310390080.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': 310390080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3919104000, 'subgroup_tex': 'C_3.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.310390080._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '310390080.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': 310390080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3919104000, 'subgroup_tex': 'C_3.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.310390080._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '310390080.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': 310390080, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3919104000, 'subgroup_tex': 'C_3.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times C_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^2:C_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times D_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times C_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times C_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times C_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times C_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times D_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times C_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times C_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times D_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '(C_2\\times C_4).A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^2:C_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^2:C_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'D_4:C_2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11941987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'Q_8.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3:S_4.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'D_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'D_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'D_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3:A_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'D_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'D_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^3:A_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11941998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': 'C_2^2:S_4:C_2.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11941999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.317444400._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '317444400.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': 317444400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3832012800, 'subgroup_tex': '\\GL(2,\\mathbb{Z}/4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.332560800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '332560800.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 332560800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3657830400, 'subgroup_tex': 'A_9\\times A_8', 'supersolvable': False, 'sylow': 0}
  • id: 11942001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.332560800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '332560800.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': 332560800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3657830400, 'subgroup_tex': 'C_2^2.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.332560800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '332560800.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': 332560800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3657830400, 'subgroup_tex': 'C_2.A_9.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.332560800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '332560800.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': 332560800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3657830400, 'subgroup_tex': 'C_2^2.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.332560800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '332560800.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': 332560800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3657830400, 'subgroup_tex': 'C_2.A_9.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.332560800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '332560800.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': 332560800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3657830400, 'subgroup_tex': 'C_2.A_9.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.332560800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '332560800.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': 332560800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3657830400, 'subgroup_tex': 'C_2.A_9.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.332560800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '332560800.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': 332560800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3657830400, 'subgroup_tex': 'C_2^2.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.338607360._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '338607360.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': 338607360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3592512000, 'subgroup_tex': 'C_{15}.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.338607360._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '338607360.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': 338607360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3592512000, 'subgroup_tex': '(C_3\\times A_5).A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.338607360._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '338607360.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': 338607360, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3592512000, 'subgroup_tex': 'C_3.A_{11}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.349188840._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '349188840.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': 349188840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3483648000, 'subgroup_tex': 'C_2^4.S_5\\times A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 11942013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.349188840._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '349188840.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': 349188840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3483648000, 'subgroup_tex': 'C_2^4.A_{10}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.349188840._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '349188840.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': 349188840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3483648000, 'subgroup_tex': 'C_2^4.A_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.362793600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '362793600.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': 362793600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3353011200, 'subgroup_tex': 'C_7.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.362793600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '362793600.B', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 362793600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3353011200, 'subgroup_tex': 'A_{11}\\times \\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 11942017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.362793600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '362793600.C', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 362793600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3353011200, 'subgroup_tex': 'A_{11}\\times \\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 11942018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.362793600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '362793600.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': 362793600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3353011200, 'subgroup_tex': 'A_{11}\\times F_8:C_3', 'supersolvable': False, 'sylow': 0}
  • id: 11942020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2^2.A_8.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2^2.A_8^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2.A_8.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2.A_8^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2.A_8^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2.A_8^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2.A_8.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2.A_8^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3251404800.a', 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'S_8\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2^2.A_8.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3251404800.a', 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'S_8\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2.A_8.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3251404800.a', 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'S_8\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3251404800.a', 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'S_8\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.374130900._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '374130900.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': 374130900, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3251404800, 'subgroup_tex': 'C_2.A_8^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.376230400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '376230400.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': 376230400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3233260800, 'subgroup_tex': 'C_3\\wr C_3:C_2.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.376230400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '376230400.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': 376230400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3233260800, 'subgroup_tex': 'C_3\\wr C_3.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.376230400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '376230400.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': 376230400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3233260800, 'subgroup_tex': 'C_3\\wr C_3.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.380933280.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '380933280.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': 380933280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3193344000, 'subgroup_tex': 'C_2^2:F_5.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.387987600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '387987600.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': 387987600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3135283200, 'subgroup_tex': 'A_4.A_6.A_9.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.387987600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '387987600.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': 387987600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3135283200, 'subgroup_tex': 'C_6^2.D_{12}.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.390700800.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '390700800.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 390700800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3113510400.a', 'subgroup_hash': None, 'subgroup_order': 3113510400, 'subgroup_tex': 'A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 11942044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.399072960._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '399072960.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 399072960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3048192000, 'subgroup_tex': 'A_7.A_5.A_8', 'supersolvable': False, 'sylow': 0}
  • id: 11942045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.399072960._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '399072960.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': 399072960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3048192000, 'subgroup_tex': 'A_5.A_7^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.399072960._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '399072960.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': 399072960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3048192000, 'subgroup_tex': 'A_5.A_7^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'A_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(C_2\\times C_6).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'A_4^2.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'A_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2874009600.a', 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'S_3\\times S_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'A_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2874009600.a', 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'S_3\\times S_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_3:C_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_6.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'A_4\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_6.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'D_6.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_6.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_6.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2874009600.a', 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'S_3\\times S_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_3:S_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2874009600.a', 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'S_3\\times S_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(S_3\\times S_4).A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2874009600.a', 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'S_3\\times S_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_3:S_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(S_3\\times A_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(S_3\\times A_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2874009600.a', 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'S_3\\times S_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'D_6.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_6.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_6.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(C_3\\times S_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(C_3\\times S_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(S_3\\times S_4).A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(S_3\\times A_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(S_3\\times A_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_3:S_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_3:S_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '(C_3\\times S_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'C_3.A_{11}.C_2\\times S_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': 'S_3\\wr C_2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.423259200._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '423259200.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': 423259200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2874009600, 'subgroup_tex': '\\PSU(3,2).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.443414400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '443414400.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': 443414400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2743372800, 'subgroup_tex': 'C_3.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.443414400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '443414400.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': 443414400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2743372800, 'subgroup_tex': 'C_3.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.443414400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '443414400.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': 443414400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2743372800, 'subgroup_tex': 'C_3.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.443414400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '443414400.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': 443414400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2743372800, 'subgroup_tex': 'A_{10}\\times \\SL(2,8).C_3', 'supersolvable': False, 'sylow': 0}
  • id: 11942092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'C_2^2.A_{10}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 11942093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.B', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_6.A_8.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 11942094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'C_2.A_{10}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_4.A_5.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_4.A_5.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_9.A_5^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_9.A_5^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_{10}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_4.A_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_4.A_{10}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_4.A_{10}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_{10}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_4.A_5.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_9.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'D_5.A_6.A_9.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_6.A_{10}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': '(S_3\\times A_5).A_{10}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_5.A_9.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.465585120._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465585120.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': 465585120, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2612736000, 'subgroup_tex': 'A_7.A_6^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.476166600.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '476166600.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': 476166600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2554675200, 'subgroup_tex': 'C_2\\wr C_2^2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.488864376.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '488864376.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': 488864376, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2488320000.c', 'subgroup_hash': None, 'subgroup_order': 2488320000, 'subgroup_tex': 'A_5^4.Q_8.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.498841200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '498841200.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': 498841200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2438553600, 'subgroup_tex': 'C_3.A_8.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.498841200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '498841200.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': 498841200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2438553600, 'subgroup_tex': 'C_3.A_8.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.498841200._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '498841200.C', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 498841200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2438553600, 'subgroup_tex': 'C_2^3.\\PSL(2,7)\\times A_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 11942125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.498841200._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '498841200.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': 498841200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2438553600, 'subgroup_tex': 'C_3.A_8^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.498841200._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '498841200.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': 498841200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2438553600, 'subgroup_tex': 'A_4.A_7.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'D_5\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'C_2.A_{11}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'A_5.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'C_5.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'A_{11}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': '(D_5\\times A_4).A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': '(C_5\\times A_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'C_5\\times A_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'A_{11}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'C_5.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'A_5.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'A_5.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.507911040._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '507911040.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': 507911040, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2395008000, 'subgroup_tex': 'C_3:F_5.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.517316800.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '517316800.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': 517316800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2351462400, 'subgroup_tex': 'C_3^3.S_4.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.532097280.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '532097280.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 532097280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2286144000, 'subgroup_tex': 'A_7.A_6.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 11942146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.543182640.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '543182640.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': 543182640, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2239488000.a', 'subgroup_hash': None, 'subgroup_order': 2239488000, 'subgroup_tex': 'S_6\\wr C_3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.558702144._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '558702144.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': 558702144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2177280000, 'subgroup_tex': 'D_5.A_5.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.558702144._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '558702144.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': 558702144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2177280000, 'subgroup_tex': 'D_5.A_5.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.558702144._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '558702144.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': 558702144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2177280000, 'subgroup_tex': 'D_5.A_5.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': 'C_3^2.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': 'C_3^3:C_2^2.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': '(C_3\\times C_3:S_3.C_2).A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': '(C_3\\times C_3:S_3).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': 'C_3^3:C_2^2.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': '(C_3\\times C_3:S_3).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': '(C_3\\times C_3:S_3).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': '(C_3\\times C_3:S_3).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': '(C_3\\times C_3:S_3).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': '(C_3\\times C_3:S_3).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.564345600._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '564345600.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': 564345600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2155507200, 'subgroup_tex': '\\He_3:C_2.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581981400._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581981400.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': 581981400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2090188800, 'subgroup_tex': 'A_4^2.C_2^2.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581981400._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581981400.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': 581981400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2090188800, 'subgroup_tex': 'A_4^2.C_2^2.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581981400._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581981400.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': 581981400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2090188800, 'subgroup_tex': 'A_{10}\\times A_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581981400._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581981400.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': 581981400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2090188800, 'subgroup_tex': 'A_4^2.C_2^2.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581981400._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581981400.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': 581981400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2090188800, 'subgroup_tex': 'A_4^2.C_4.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581981400._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581981400.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': 581981400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2090188800, 'subgroup_tex': 'A_4^2.C_4.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581981400._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581981400.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': 581981400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2090188800, 'subgroup_tex': 'A_4^2.C_2^2.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.581981400._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '581981400.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': 581981400, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2090188800, 'subgroup_tex': 'A_4^2.C_2^2.A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.598609440.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '598609440.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': 598609440, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2032128000, 'subgroup_tex': 'D_5.A_7.A_8.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.620780160.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '620780160.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': 620780160, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1959552000, 'subgroup_tex': 'C_3.A_{10}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 11942173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^3.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^3.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^3.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'Q_8.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '(C_2\\times C_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^3.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '(C_2\\times C_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '(C_2\\times C_4).A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'D_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2:S_4.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '(C_2^2\\times A_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'D_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'D_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'D_4.A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^3:A_4.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_4.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '(C_2^2\\times A_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '(C_2\\times S_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '\\GL(2,\\mathbb{Z}/4).A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2\\wr C_2:C_3.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'C_2^2:S_4.A_{11}', 'supersolvable': False, 'sylow': 0}
  • id: 11942220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'A_4:C_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '(C_2\\times S_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'A_4:C_4.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '(C_2\\times S_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.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': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': '(S_3\\times D_4).A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.634888800._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '634888800.BU', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 634888800, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1916006400, 'subgroup_tex': 'A_8\\times M_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.654729075.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '654729075.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': 654729075, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1857945600.b', 'subgroup_hash': None, 'subgroup_order': 1857945600, 'subgroup_tex': 'C_2^9.S_{10}', 'supersolvable': False, 'sylow': 0}
  • id: 11942227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'C_2^2.A_9.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 11942228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'C_2.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'C_2.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'C_2.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'C_2.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'C_2.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'C_2.A_9.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'A_9.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'A_9.A_7.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': 'C_3:S_3.C_2.A_7^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 11942238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.665121600._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '665121600.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': 665121600, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1828915200, 'subgroup_tex': '(C_3\\times \\PSL(2,7)).A_{10}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.698377680._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '698377680.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 698377680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1741824000, 'subgroup_tex': 'C_2^4.A_{10}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.698377680._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '698377680.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': 698377680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1741824000, 'subgroup_tex': 'A_5.A_8.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.698377680._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '698377680.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': 698377680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1741824000, 'subgroup_tex': '(C_2^2\\times A_5).A_{10}.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.698377680._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '698377680.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': 698377680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1741824000, 'subgroup_tex': 'C_2^2.A_{10}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.698377680._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '698377680.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': 698377680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1741824000, 'subgroup_tex': 'A_5.A_8.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 11942245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.725587200._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '725587200.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': 725587200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1676505600, 'subgroup_tex': 'C_7\\times A_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 11942246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.725587200._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '725587200.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': 725587200, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1676505600, 'subgroup_tex': 'F_7.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.727476750.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '727476750.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': 727476750, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1672151040, 'subgroup_tex': 'C_2^6.C_3^3.S_4.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 11942248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.2546168625._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2546168625.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': 2546168625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '477757440.b', 'subgroup_hash': None, 'subgroup_order': 477757440, 'subgroup_tex': 'C_2^{10}.C_3:S_3^4:S_5', 'supersolvable': False, 'sylow': 0}
  • id: 11942249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '1216451004088320000.a.9280784638125.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '9280784638125.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': 9280784638125, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 131072, 'subgroup_tex': 'C_2^5.C_2^5.C_2^4.C_2^3', 'supersolvable': True, 'sylow': 2}
  • id: 11942250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '1216451004088320000.a.185406341120000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '185406341120000.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': 185406341120000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6561.528387', 'subgroup_hash': None, 'subgroup_order': 6561, 'subgroup_tex': 'C_3^4.C_3^4', 'supersolvable': True, 'sylow': 3}
  • id: 11942251
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '1216451004088320000.a.355687428096000._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '355687428096000.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 355687428096000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3420.a', 'subgroup_hash': None, 'subgroup_order': 3420, 'subgroup_tex': '\\PSL(2,19)', 'supersolvable': False, 'sylow': 0}
  • id: 11942253
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '1216451004088320000.a.1946321606541312.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1946321606541312.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': 1946321606541312, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '625.15', 'subgroup_hash': None, 'subgroup_order': 625, 'subgroup_tex': 'C_5^4', 'supersolvable': True, 'sylow': 5}
  • id: 11942254
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 7, 'label': '1216451004088320000.a.24825530695680000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '24825530695680000.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': 24825530695680000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '49.2', 'subgroup_hash': None, 'subgroup_order': 49, 'subgroup_tex': 'C_7^2', 'supersolvable': True, 'sylow': 7}
  • id: 11942255
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 832, 'cyclic': True, 'direct': None, 'hall': 19, 'label': '1216451004088320000.a.64023737057280000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64023737057280000.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': 64023737057280000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '19.1', 'subgroup_hash': None, 'subgroup_order': 19, 'subgroup_tex': 'C_{19}', 'supersolvable': True, 'sylow': 19}
  • id: 11942256
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 833, 'cyclic': True, 'direct': None, 'hall': 17, 'label': '1216451004088320000.a.71555941416960000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '71555941416960000.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': 71555941416960000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17.1', 'subgroup_hash': None, 'subgroup_order': 17, 'subgroup_tex': 'C_{17}', 'supersolvable': True, 'sylow': 17}
  • id: 11942257
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 834, 'cyclic': True, 'direct': None, 'hall': 13, 'label': '1216451004088320000.a.93573154160640000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '93573154160640000.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': 93573154160640000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '13.1', 'subgroup_hash': None, 'subgroup_order': 13, 'subgroup_tex': 'C_{13}', 'supersolvable': True, 'sylow': 13}
  • id: 11942258
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 835, 'cyclic': True, 'direct': None, 'hall': 11, 'label': '1216451004088320000.a.110586454917120000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '110586454917120000.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': 110586454917120000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': True, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11.1', 'subgroup_hash': None, 'subgroup_order': 11, 'subgroup_tex': 'C_{11}', 'supersolvable': True, 'sylow': 11}
  • id: 11942259
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '1216451004088320000.a', 'ambient_counter': 1, 'ambient_order': 1216451004088320000, 'ambient_tex': 'A_{20}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 836, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '1216451004088320000.a.1216451004088320000.a1.a1', 'maximal': False, 'maximal_normal': True, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1216451004088320000.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '1216451004088320000.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 1216451004088320000, 'quotient_simple': True, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'A_{20}', '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: 11941897
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232560, 'diagramx': None, 'generators': [753220435968023, 390565721290673699, 621408167350946007, 256848168665088399, 243666866673865431, 500118754395654591, 621408167347976518, 263586614683392012, 7, 29, 633878155936138608, 23, 390942329057280034, 141605441961988634, 89432, 3, 378472347409012890, 6799906713600100], 'label': '1216451004088320000.a.465120._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941636
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [12804841066884504, 4103606707200, 6403681380096632, 134806930101044865, 359703896837913, 256094948229120000, 128404562622347312, 243291595670323200, 256096262130508820, 243290375174246412, 371337849288808705, 121645187587123200, 128405864069686832, 243290375174246481, 12804840860313600, 122004891450576153, 378098525771380856, 122002101741628952, 364939224533061264, 122000787836928000, 134806930101043204, 2789705318400], 'label': '1216451004088320000.a.52907400._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941919
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '542640.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': 542640, 'diagramx': None, 'generators': [13182752482099200, 13560583196160000, 6780379255372800, 522956313], 'label': '1216451004088320000.a.542640.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '542640.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '542640.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941960
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13226850, 'diagramx': None, 'generators': [355687468012800, 121646408083200000, 356995102464000, 121645106635852800, 122002095555250713], 'label': '1216451004088320000.a.317444400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941637
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [44460928512000, 25154520, 25810710, 3031, 327001104, 43545600, 33431, 376703623296000, 1800761054002713, 21156594, 4468, 1803463537075200, 40325913, 14951811, 19, 416367803, 1497864, 3, 122356649929252680, 99, 65470896691200, 627], 'label': '1216451004088320000.a.52907400._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942040
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 387987600, 'diagramx': None, 'generators': [355687428136320, 13516122267648000, 711374856192000, 13160528767411200, 6779071102003200, 19939418763264000, 6758061133870233], 'label': '1216451004088320000.a.387987600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '387987600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '387987600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942041
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [733605320448000, 377924119372800, 753220435968000, 1067069034265113, 377924642329113], 'label': '1216451004088320000.a.1162800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1162800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1162800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941638
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [480, 8268606095097600, 32390048434867200, 46, 407, 3746, 3393, 1140784, 38794956059059200, 43421495040000, 19583737562188800, 3991680, 19586433862195200, 355955668992000, 46233, 38161, 20, 3, 47014822779724800, 1174298288486400], 'label': '1216451004088320000.a.52907400._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941639
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27713400, 'diagramx': None, 'generators': [1476921869, 121667424800947200, 243290200817664052, 128047474158105755, 4, 128111999545563269, 128047661883198864, 6785860811, 128047474114560000, 348713520267, 128047474194393611, 243298046864039926, 128047494232627561, 16, 128047474114823654, 243290207567270376], 'label': '1216451004088320000.a.55426800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55426800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55426800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941640
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27713400, 'diagramx': None, 'generators': [1476921869, 128047474158105755, 243290200817664052, 4, 128111999545563269, 128047661883198864, 6785860811, 128047474114560000, 348713520267, 128047474194393611, 243298046864039926, 128047494232627561, 16, 22324392155520, 128047474114823654, 243290207567270376], 'label': '1216451004088320000.a.55426800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55426800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55426800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941641
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '125970.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': 125970, 'diagramx': None, 'generators': [121645100448748800, 122023111706496000, 43545600, 128047474114560000, 40325913], 'label': '1216451004088320000.a.125970.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '125970.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '125970.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941642
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27713400, 'diagramx': None, 'generators': [121645100408872320, 1476921869, 128047474158105755, 243290200817664052, 4, 128111999545563269, 128047661883198864, 6785860811, 128047474114560000, 348713520267, 128047474194393611, 243298046864039926, 128047494232627561, 16, 128047474114823654, 243290207567270376], 'label': '1216451004088320000.a.55426800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55426800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55426800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941643
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55426800, 'diagramx': None, 'generators': [6402373705768320, 122000787836928000, 121646408083200000, 256094948229120000, 371337674932270233, 6759462736051200, 128047474114560000], 'label': '1216451004088320000.a.55426800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55426800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55426800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942124
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 249420600, 'diagramx': None, 'generators': [1136370023712000, 368793, 86, 403200, 526, 2139356224051200, 16336, 1909565784403200, 20, 11010, 144, 323433, 4, 1909205575200000, 8, 36147, 99, 1489528323360000], 'label': '1216451004088320000.a.498841200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '498841200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '498841200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942146
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '543182640.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': 543182640, 'diagramx': None, 'generators': [2268070923720960, 4046508064201113, 4046507844427440, 2268070659993600, 127959766486226465, 756010141286400, 733698725760000], 'label': '1216451004088320000.a.543182640.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '543182640.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '543182640.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941644
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '55814400.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': 9302400, 'diagramx': None, 'generators': [390964559521539028, 518918400, 622099927088660308, 390964559521536000, 505809840395059809, 622099927088640020, 142340442135091204, 1150002, 2617497, 276034366992384016, 731356207713357268, 390964559521536081, 83871513, 505809840397645629, 276034366995333273, 505809840395095367, 4037913, 276034366994233489, 276034366992712449], 'label': '1216451004088320000.a.55814400.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '55814400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '55814400.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941645
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '56434560.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': 14108640, 'diagramx': None, 'generators': [243400139377997716, 128047474114575959, 12454041607, 243292916277734400, 128047474114560023, 128047474114560000, 128094818153713771, 128047474147851405, 5318354796309, 128047660925184263, 128094557098169821, 243290294222976064, 128047741876454519, 243290200817664003, 87627122970516, 243353243176269419, 8, 115, 243400139362035110], 'label': '1216451004088320000.a.56434560.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '56434560.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '56434560.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941646
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '58198140.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': 58198140, 'diagramx': None, 'generators': [87897600, 647039986040448000, 83870640, 463311513, 608938184574720000, 750525406273843200, 121645100499552480, 26320869679104000, 263727360, 376610217984000, 19562808545280000], 'label': '1216451004088320000.a.58198140.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58198140.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58198140.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941647
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31177575, 'diagramx': None, 'generators': [119756313, 83825280, 43914393, 174356582400, 404418094003123200, 1800848188339200, 738095874227712000, 487690617173760000, 1089379926835200, 87091200, 43913520, 1447595525376000, 121645100412834480], 'label': '1216451004088320000.a.62355150._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62355150.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62355150._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941449
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 775200, 'diagramx': None, 'generators': [4357555490, 363496622, 257205163767552000, 4, 126737, 5794559533, 59, 328733, 288031, 510, 126288417, 122398327071820800, 6270975513, 4471, 21042, 69902392623, 2325417428, 443365509, 6706022400, 4757408478, 122398320844800001], 'label': '1216451004088320000.a.4651200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4651200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4651200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941450
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2325600, 'diagramx': None, 'generators': [6402373705728006, 6424604194410227, 41845579791359, 6402386754939033, 6444219285504001, 22230464256000, 6424604332657077, 6402373705728002, 6444219285504043, 6424610397004800, 22230464256399, 6424604195825596, 6424610919961113, 6444300731120094, 22230829768776, 6402373705750608, 6424671667287600, 6424604170004969], 'label': '1216451004088320000.a.4651200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4651200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4651200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941451
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2325600, 'diagramx': None, 'generators': [249693888468735513, 81, 243332046400026392, 6423303201638400, 128069704662649353, 243332046397440000, 243332046760729115, 48, 514, 121688253662976000, 249693882197796034, 6423296495616004, 19, 243332046397718823, 243332046397440632, 249693882600970233, 249693882197776065, 5752057113, 249693882197761440, 121688253663146793, 9279], 'label': '1216451004088320000.a.4651200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4651200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4651200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941452
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2325600, 'diagramx': None, 'generators': [4357555490, 363496622, 257205163767552000, 4, 126737, 5794559533, 59, 328733, 288031, 486581715536716800, 510, 126288417, 6270975513, 4471, 21042, 69902392623, 2325417428, 443365509, 6706022400, 4757408478, 486581709309696001], 'label': '1216451004088320000.a.4651200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4651200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4651200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941648
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31177575, 'diagramx': None, 'generators': [250048261951488624, 12813988310323200, 128047474114560015, 128047474114560096, 256094948229120000, 6758061137815680, 134805566862489600, 122000787836928008, 243290202733670400, 12804747455001600, 378095736066048003, 128047474114560000, 122000787836928000, 371338198001971200, 365290988738417280, 6758061133860000, 134462462243921280, 12804747411460320], 'label': '1216451004088320000.a.62355150._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62355150.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62355150._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941453
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '14535.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': 14535, 'diagramx': None, 'generators': [378095736073668481, 121663657976647730, 256094948255178550, 121646408083200000, 149760294, 256094948266024626, 256094948229120000, 256450635857211164, 256104840398839970, 421759098, 268262124117, 377740048703765191, 377740048637952002, 355687428384151, 377760287543329791, 1314424345113, 355687428096001, 256096798828324240, 355687461452461, 377740048638082861, 121646240782358094, 378095736066048000, 378096004400574731, 355687428862088, 1394852659200, 377740048678197289, 256094948236744227], 'label': '1216451004088320000.a.14535.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14535.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14535.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941454
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2325600, 'diagramx': None, 'generators': [6445526959872000, 6445533665894400, 22230464256000, 6423302766591513], 'label': '1216451004088320000.a.4651200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4651200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4651200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941455
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [2615348736000, 121709263631155200, 128110329666553113, 243290200817664000, 21009968179200, 65470896691200, 62856066873600], 'label': '1216451004088320000.a.5426400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5426400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5426400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941668
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [4103606707200, 93405312000, 12808757612886607, 4097416377727, 12804747411456000, 2621575797120, 12804753638478360, 12807537116774525, 6758067800292481, 6758067360844806, 6762158513510401, 6758148312115807, 12807456165504103, 2795932339254, 12806148535090713, 2621575756805, 2789705318400, 6759462253420800], 'label': '1216451004088320000.a.70543200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941669
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [4103606707200, 12808757612886607, 93405312000, 359616678220854, 13161829692211206, 358396218835327, 12804747411456000, 6406302955854360, 13160434879468800, 12807537116774525, 13163143593600001, 357175686067205, 6402373749682713, 357175686107520, 12807456165504103, 13161830131658881, 13161923097523807, 2789705318400], 'label': '1216451004088320000.a.70543200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941649
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31177575, 'diagramx': None, 'generators': [250048261951488624, 12813988310323200, 128047474114560015, 128047474114560096, 256094948229120000, 6758061137815680, 378106948887091200, 134805566862489600, 122000787836928008, 243290202733670400, 12804747455001600, 378095736066048003, 128047474114560000, 122000787836928000, 371338198001971200, 365290988738417280, 378097137668643993, 6758061133860000, 12804747411460320], 'label': '1216451004088320000.a.62355150._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62355150.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62355150._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941670
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [1089379926835200, 1782360163584000, 122045342170752000, 83784564864000, 43545600, 40325913, 1447769881958400], 'label': '1216451004088320000.a.70543200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941456
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [522956313, 6423383673910230, 6467844602449590, 6445614138163254, 249737041243877913, 121647715757568390, 249734420103168002, 249734420266867200, 249758045420083206, 21009968582400, 25350, 249695190315209670, 65475690336150, 243292816166400004, 21009968179200, 121686945988896152, 243312431282246461, 121688340841518062, 64081357004313, 65470896691200, 243334661746504472, 2615348736000, 121645100887833600, 6465229253683201, 243290200817664000], 'label': '1216451004088320000.a.5426400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5426400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5426400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941650
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '63488880.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': 63488880, 'diagramx': None, 'generators': [122000787836928369, 122000787836937958, 186810624000, 16, 256096255907116800, 256094948229120000, 256094948229120632, 122000787836931871, 122003496590976000, 1140784, 256094948229120510, 256094948233111680, 378095736066048059, 2313, 378095736066048000, 122000787836974233, 576, 256094948229120003, 13160434843180800], 'label': '1216451004088320000.a.63488880.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '63488880.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '63488880.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941457
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [243332139367705113, 522956313, 128050176641587201, 128048781788958390, 243352969630409670, 43153254394862, 243334749088166400, 128071012253187030, 243334748924467202, 21009968582400, 25350, 243292816166400004, 65475690336150, 21009968179200, 243312431282246461, 62768369664390, 64081357004313, 128090627368704054, 44548107091352, 65470896691200, 243334661746504472, 2615348736000, 64163701324800, 243291508492032006, 243290200817664000], 'label': '1216451004088320000.a.5426400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5426400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5426400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941651
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [1394852659200, 1308153369600, 522956313], 'label': '1216451004088320000.a.65116800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '65116800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '65116800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941458
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5426400, 'diagramx': None, 'generators': [34737, 25987499893555200, 732151, 4745, 48, 7, 80242712, 4037913, 83871513, 32766484296268800, 518918400, 2617449, 26145, 21009968179200, 3761, 2949270, 3, 208011, 6467757424128000, 711374856192000, 20], 'label': '1216451004088320000.a.5426400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5426400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5426400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941459
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '5581440.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': 1395360, 'diagramx': None, 'generators': [12846592991232004, 20296414072252977, 7115056236416816, 12846593394437910, 26362715258880020, 26362715258880513, 12846592991232099, 26362715258881581, 6270975513, 12846592991232000, 12846597230487846, 7115056236455257, 3312129, 15240, 6706022400, 1814520, 2421, 20296413865731832, 12846593873439512], 'label': '1216451004088320000.a.5581440.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5581440.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5581440.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941460
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '6046560.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': 6046560, 'diagramx': None, 'generators': [378011776665600, 355687431724800, 4037913, 712776414873600, 122424661167858000], 'label': '1216451004088320000.a.6046560.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6046560.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6046560.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941461
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1627920, 'diagramx': None, 'generators': [62855547955791, 64076044075059, 419850688938162, 1069770124874171, 400235589641331, 62855579369208, 753220444046404, 1394852659203, 44460930679305, 64076044032000, 22230464277121, 21010005819447, 78, 1394852698619, 64076044032138, 44460928512631, 1394852778039, 3], 'label': '1216451004088320000.a.6511680._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6511680.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6511680._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941462
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3255840, 'diagramx': None, 'generators': [33458156379669651, 7137286938734756, 65470896691748, 19983879855663781, 65470896691204, 65470896704699, 13873117370112000, 65470896691211, 775450919925199, 26008335976330813, 25459140, 26320872937374984, 65470896694450, 65470896691200, 12, 640, 2223443], 'label': '1216451004088320000.a.6511680._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6511680.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6511680._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941463
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [5437119165, 1110215538432004, 3156787, 356995266194312, 1110291264639512, 356995102468472, 1640, 356995102464000, 753225748935272, 70423804560, 3312152, 753220436374645, 753230040226560, 753220436003433, 356995102464012, 357001373439513, 1110222244454400, 357039857260800, 1110215538432000, 753220436215835, 11, 356995102464513, 753220435968081], 'label': '1216451004088320000.a.6976800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6976800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6976800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941464
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '15504.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': 15504, 'diagramx': None, 'generators': [93405312000, 121645187587123200, 128047474114560000, 376610217984000, 522956313], 'label': '1216451004088320000.a.15504.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15504.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15504.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941465
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [121646408083200000, 356995102464000, 357001373439513, 357001808486400], 'label': '1216451004088320000.a.6976800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6976800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6976800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941466
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [355690825026480, 355768902322713, 121646408090140953, 225, 122002095511296005, 7706160, 122002102261273113, 355687428097560, 122002095511296001, 355687428096021, 355691337493953, 121646408083209513, 167265, 121646408083200000, 122002101738316800, 355693216078233, 355687429234449, 122002095511296105, 121646408083255665], 'label': '1216451004088320000.a.6976800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6976800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6976800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941467
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [355693140191640, 1314424345113, 1313901388800], 'label': '1216451004088320000.a.6976800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6976800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6976800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941468
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [121688253662976000, 3797, 443122712, 701939, 2919599835, 51, 4475, 493227, 2432829, 391613166008064001, 85882, 6270975513, 247857, 209145, 3877272748, 5396060881, 3, 6706022400, 391613172235084800, 8, 2438982870, 208475, 479001601, 163699201], 'label': '1216451004088320000.a.6976800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6976800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6976800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942225
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 634888800, 'diagramx': None, 'generators': [736629977488204800, 884640495682944000, 493422247334016000, 138241, 493363401987456000, 8761680, 250780646775859200, 615340738864051200, 26612904, 736628756992128000, 363420894, 371778454599552000, 43591104, 183842], 'label': '1216451004088320000.a.634888800._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942226
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '654729075.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': 654729075, 'diagramx': None, 'generators': [256094948229120000, 378496072279192625, 378095736066048000, 256850971870360624], 'label': '1216451004088320000.a.654729075.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '654729075.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '654729075.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941469
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [15240, 122754008273084244, 122754008272896004, 122399628521391384, 73, 122754008272896000, 357000375519512, 356995102464000, 43482625371, 357001219305531, 323372318, 122399628519496487, 122399628522117152, 6706022400, 6270975513, 2184, 122754008272896278, 356995102464119, 122754011953317144, 356995385925120, 356995102464015, 122754008272917086], 'label': '1216451004088320000.a.6976800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6976800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6976800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941470
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [287775, 86210417, 81, 122, 1205512, 12, 12847900665600001, 3321205353, 6706022400, 130568, 26343100143360000, 6270975513, 132586, 404544730, 12847906892620800, 3, 882207512, 3750, 2802240720, 1614], 'label': '1216451004088320000.a.6976800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6976800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6976800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941471
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3527160, 'diagramx': None, 'generators': [378011341618713, 378011337580800, 1778437184434713, 756010141286400, 733698725760000], 'label': '1216451004088320000.a.7054320._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7054320.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7054320._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941472
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3527160, 'diagramx': None, 'generators': [3929391551418, 22323869594016, 3929250125443, 2615348736042, 1394852659212, 66784798080624, 122716173286385280, 4010201395215, 23544651110320, 44460930053480, 15, 64250400626625, 2789705318404, 1488314148538750, 174356582415, 44460928644196], 'label': '1216451004088320000.a.7054320._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7054320.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7054320._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941473
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3527160, 'diagramx': None, 'generators': [122444176973927760, 3929391551418, 22323869594016, 3929250125443, 2615348736042, 1394852659212, 66784798080624, 4010201395215, 23544651110320, 44460930053480, 15, 64250400626625, 2789705318404, 1488314148538750, 174356582415, 44460928644196], 'label': '1216451004088320000.a.7054320._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7054320.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7054320._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941474
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7054320, 'diagramx': None, 'generators': [6402373749682713, 249692574563308800, 128069797984128000, 121666023198720000, 128047474114560000], 'label': '1216451004088320000.a.7054320._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7054320.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7054320._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941475
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '19380.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': 19380, 'diagramx': None, 'generators': [6403775308364313, 6403681380096000, 6758061133824000], 'label': '1216451004088320000.a.19380.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19380.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19380.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941476
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [43240432435200, 22318121548800, 6465230216133424, 522956313, 44460928512000], 'label': '1216451004088320000.a.8139600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8139600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8139600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941477
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [285, 32389874078284800, 356995102464000, 32391181273651200, 3054, 4037913, 247840, 83871513, 518918400, 2439000, 288209, 27032244535296000, 2431564, 81, 128605, 168805, 19583818513459200, 3, 11433, 11, 15], 'label': '1216451004088320000.a.8139600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8139600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8139600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941478
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [243290201340620313, 249758045420083221, 6402461327100841, 249692574523392005, 121689648515635200, 128112857833290793, 249692575002393600, 121689561337344024, 243311123607914880, 128112945011419987, 249757958241793581, 121645100408834304, 243355584536064120, 21009968179200, 121710484290890880, 121645193338776361, 6467844602419201, 249713584491606627, 121710571305528339, 65470896691200, 243355671714360261, 243290287995959673, 243290200817664000], 'label': '1216451004088320000.a.8139600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8139600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8139600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941479
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '8314020.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': 8314020, 'diagramx': None, 'generators': [123153110530254864, 733699244678400, 2489811997081113, 756023553331200, 378011816945280, 378011816991513], 'label': '1216451004088320000.a.8314020.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8314020.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8314020.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941480
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4408950, 'diagramx': None, 'generators': [134451248899968000, 122000787836928000, 121646408083200000, 256094948229120000, 134449847864242713, 128047474114560000, 243645888285676800], 'label': '1216451004088320000.a.8817900._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8817900.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8817900._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941481
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4408950, 'diagramx': None, 'generators': [749811416068915200, 730248607523635200, 397659939463987200, 1091914324300800, 32392576126310400, 1488257971200, 1802068684416000, 622538091407232000, 43545600, 40325913], 'label': '1216451004088320000.a.8817900._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8817900.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8817900._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941482
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4408950, 'diagramx': None, 'generators': [36334233, 1566, 17528968, 203628428, 32392576126310400, 2586469, 43545600, 29, 23, 397659939463987200, 40325913, 1802068684416000, 15, 1091914324300800, 1488257971200, 366, 749811416068915200, 2234761, 4, 730248607523635200, 270407537632108800, 270407537592192001, 29086], 'label': '1216451004088320000.a.8817900._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8817900.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8817900._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941483
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4618900, 'diagramx': None, 'generators': [22318121548800, 378011776665600, 13182759188121600, 87657292800, 104875484313600, 128047474114560000, 12454041600, 2708754048000, 121645100412652368, 46233, 3669120, 4016907417600, 1488257971200, 1308153369600], 'label': '1216451004088320000.a.9237800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9237800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9237800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941484
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4618900, 'diagramx': None, 'generators': [81513, 1286163018304445955, 1284254859347712000, 6780385522310400, 12827071799942400, 46233], 'label': '1216451004088320000.a.9237800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9237800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9237800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941485
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4618900, 'diagramx': None, 'generators': [378011820211200, 3757793813262720, 46233], 'label': '1216451004088320000.a.9237800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9237800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9237800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941671
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [6578072, 83784564864000, 21139224, 21291, 1455, 510, 1447769881958400, 228717089, 43545600, 3512, 421251774053913, 792512, 421251730099201, 23, 1089379926835200, 40325913, 2949270, 122045342170752000, 122063562769098816, 3, 11194, 21096], 'label': '1216451004088320000.a.70543200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941486
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4845, 'diagramx': None, 'generators': [256113412435296375, 122000826085308272, 122000787836928400, 378095805086233086, 4, 122001212407801462, 378095736077416970, 122000787837175806, 256094948229120000, 256094948229328738, 256094948229123529, 15495628, 62808576321, 1314424345113, 78, 122000787836928000, 156198476310, 378095736066073627, 122000788008457969, 378095736357393602, 378095736066049228, 378095736066048015, 256094948230980654, 11, 256094948483992631, 1394852659200], 'label': '1216451004088320000.a.29070._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29070.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29070._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941487
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 775200, 'diagramx': None, 'generators': [6706022400, 22236735231513, 22230464256000], 'label': '1216451004088320000.a.9302400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9302400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9302400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941693
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [2789705318400, 128047474154885913, 121649023431936000, 43545600, 128047474114560000, 22404820838400], 'label': '1216451004088320000.a.84651840._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941488
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 775200, 'diagramx': None, 'generators': [9513, 128069704581043294, 443122707, 283778667, 243332052149497113, 128069704578816082, 554, 243332046397447884, 1883864, 128069704578819110, 128069704578816000, 128069704579546898, 243332046397467637, 128069704579099181, 243332046397470366, 3, 243332046397642464, 6706022400, 128069710849791513, 128069704822354581], 'label': '1216451004088320000.a.9302400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9302400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9302400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941489
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9302400, 'diagramx': None, 'generators': [4037913, 3, 633899160089395200, 518918400, 2384, 83871513, 15, 215, 122377485712204800, 288171, 1636428, 141605441961984000, 56, 36129, 104], 'label': '1216451004088320000.a.9302400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9302400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9302400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941490
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '9767520.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': 9767520, 'diagramx': None, 'generators': [518918400, 81, 90664, 1451616, 245175000, 3482171, 121687035861594456, 122000877709914336, 45, 775450900224000, 26072, 753220435968000, 20, 2361, 4037913, 3, 2223867, 1704463, 1863656], 'label': '1216451004088320000.a.9767520.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9767520.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9767520.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941491
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [128091935207595330, 21009968179200, 243292816167011287, 41845583214614, 128111550162629913, 243353056365622210, 243311210785843203, 2615348736000, 243311210787474520, 41845579776632, 243291595670452741, 65470896691255, 128047474114560000, 2615348736011, 1227320, 64076045261638, 128089320213254400, 65470896691200], 'label': '1216451004088320000.a.10852800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10852800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10852800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941492
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5426400, 'diagramx': None, 'generators': [19585039009536000, 1446375029299200, 419850650419200, 13871896874035200, 518918400, 4037913], 'label': '1216451004088320000.a.10852800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10852800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10852800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941493
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5426400, 'diagramx': None, 'generators': [288206, 518918400, 3632, 581515, 1446375029299200, 124197424, 1227357, 7513984096819201, 19585039009536000, 304015, 7513984575820800, 1440, 193220, 26153, 222, 4037913, 82, 4, 419850650419200], 'label': '1216451004088320000.a.10852800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10852800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10852800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941494
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5426400, 'diagramx': None, 'generators': [12806142264115200, 6403681380096000, 355687907097600, 6758061133824000, 522956313], 'label': '1216451004088320000.a.10852800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '10852800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '10852800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941495
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6046560, 'diagramx': None, 'generators': [378011776665600, 355687431724800, 4037913, 712776414873600], 'label': '1216451004088320000.a.12093120._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12093120.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12093120._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941496
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6046560, 'diagramx': None, 'generators': [16, 11, 1485786326068777, 44642013425534, 12454076967, 733692977948280, 1803544506744237, 123783148030222801, 181062604820, 6706022407, 6706022464, 186810626823, 186810624602, 5411760286833, 4191264001849, 29643, 3, 87690529851], 'label': '1216451004088320000.a.12093120._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12093120.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12093120._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941497
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14535, 'diagramx': None, 'generators': [356995102464000, 121663239281337600, 357089030732313], 'label': '1216451004088320000.a.29070._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29070.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29070._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941498
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6046560, 'diagramx': None, 'generators': [16, 11, 1485786326068777, 44642013425534, 12454076967, 733692977948280, 1803544506744237, 181062604820, 6706022407, 6706022464, 186810626823, 186810624602, 5411760286833, 4191264001849, 123804070819747921, 29643, 3, 87690529851], 'label': '1216451004088320000.a.12093120._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12093120.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12093120._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941499
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '13226850.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': 13226850, 'diagramx': None, 'generators': [36334233, 403, 385921040067763200, 4, 641746426793472000, 275389857885542400, 2970291, 123111177731942400, 30965746, 40325913, 16, 365311911484396800, 15885, 43545600, 19, 41, 702, 1885425, 737385813272908800, 3307113, 385209490854988800, 123466871387059200, 3980], 'label': '1216451004088320000.a.13226850.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13226850.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13226850.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941500
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [1314424345113, 1313901388800], 'label': '1216451004088320000.a.13953600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13953600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13953600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941501
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [1320, 4, 122002101738316800, 122002096546781970, 126855, 11069521, 122002095514608431, 2497409, 122002095511296021, 75247205913, 3311400, 122002152077439513, 122002101299640360, 122002176985522713, 4415905, 122002095511605190, 10529507, 122002095511296001, 122002096991846400, 4833607833, 122002164531481113, 122002095511624473, 5320240119, 122002102261273113], 'label': '1216451004088320000.a.13953600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13953600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13953600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941502
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [6706022400, 356995102464000, 357001373439513], 'label': '1216451004088320000.a.13953600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '13953600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '13953600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941503
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3527160, 'diagramx': None, 'generators': [1132539408000885, 2615348737521, 1153549376239037, 174356585046, 1803370143428392, 7, 2708754050583, 83691159554278, 1506440877557076, 4010201395223, 273, 15, 1824205746313986, 65564302025056, 3, 4010201396431, 83691234795868, 2716], 'label': '1216451004088320000.a.14108640._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14108640.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14108640._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941504
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7054320, 'diagramx': None, 'generators': [4103606714411, 128047474114560003, 243290294222990944, 128047474114560015, 128047474114560000, 128050089463296455, 128047648471145501, 128089494052469731, 128048962372531238, 128047648471143860, 128047567519876527, 23544365676909, 243292909571712506, 38, 128132479175513112, 93412229793, 128047567519872099, 20922833842713, 243290294493100654, 243312524690185215, 243333534656379784, 128071099754965950], 'label': '1216451004088320000.a.14108640._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14108640.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14108640._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941505
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7054320, 'diagramx': None, 'generators': [4103606714411, 128047474114560003, 243290294222990944, 128047474114560015, 128047474114560000, 128050089463296455, 128047648471145501, 128089494052469731, 128048962372531238, 128047648471143860, 128047567519876527, 23544365676909, 243292909571712506, 38, 128132479175513112, 93412229793, 128047567519872099, 243290294493100654, 121645100452786713, 243312524690185215, 243333534656379784, 128071099754965950], 'label': '1216451004088320000.a.14108640._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14108640.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14108640._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941506
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7054320, 'diagramx': None, 'generators': [4103606714411, 128047474114560003, 243290294222990944, 128047474114560015, 128047474114560000, 128050089463296455, 128047648471145501, 121666023198720000, 128089494052469731, 128048962372531238, 128047648471143860, 128047567519876527, 23544365676909, 243292909571712506, 38, 128132479175513112, 93412229793, 128047567519872099, 243290294493100654, 243312524690185215, 243333534656379784, 128071099754965950], 'label': '1216451004088320000.a.14108640._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14108640.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14108640._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941507
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14108640, 'diagramx': None, 'generators': [128047474118597913, 121667424757401600, 121666023198720000, 6402373709356800, 128047474114560000], 'label': '1216451004088320000.a.14108640._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '14108640.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '14108640._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941508
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14535, 'diagramx': None, 'generators': [3241817, 377740048638078001, 377740048638294952, 122000787836928488, 377741276087340137, 256450635657216105, 377740048661014721, 377755834691659257, 1314424345113, 1394852659200, 377758450029508907, 3911614975011, 256450635873447904, 122000787836932985, 122000787836928000, 256450635657256320, 377741356312320000, 122001753585194849, 36147, 256450635657216001, 256450635657216633], 'label': '1216451004088320000.a.29070._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '29070.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '29070._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941509
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '15116400.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': 15116400, 'diagramx': None, 'generators': [2706, 4, 122002101738316800, 59, 34001, 1931, 104, 802285, 125, 40325913, 2246422, 121647890154067200, 43545600, 21819000, 405211846117478400, 26582673, 15, 640], 'label': '1216451004088320000.a.15116400.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15116400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15116400.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941714
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [111, 737, 1424057386752001, 518918400, 164523330, 1104865, 330733, 1132446002688000, 3332930, 1132604, 578838, 6391, 391, 1424057865753600, 4142, 4037913, 3, 1808636], 'label': '1216451004088320000.a.97675200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '97675200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '97675200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941510
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [243290201340620313, 6402374029095771, 249737035535816625, 249692575002393600, 243311210869714736, 6446834634240001, 121710571305523205, 128068484083505285, 128091935207906545, 249713584491592125, 128091935043072627, 243290201141036184, 6467844602459520, 249713584491571833, 121689567088992025, 21009968179200, 847440, 65470980603779, 121710571305523221, 121645100408874504, 121689561337344720, 6402374148850705, 65470896691200, 249713584491571224, 243290200817664000], 'label': '1216451004088320000.a.16279200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941511
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [43240432435200, 22318121548800, 522956313, 44460928512000], 'label': '1216451004088320000.a.16279200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941512
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [122000787836928000, 355687907097600, 122002182689587200, 356995102464000, 522956313], 'label': '1216451004088320000.a.16279200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941715
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24418800, 'diagramx': None, 'generators': [480, 518918400, 33037, 3327204, 26344407817728001, 774230404147200, 23, 167265, 83871513, 108, 984, 4037913, 3, 18994, 26344408296729600], 'label': '1216451004088320000.a.97675200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '97675200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '97675200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941513
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [6446834634240002, 6446834634240515, 522956313, 6425999501644800, 65476648703546, 23625440787297, 6425999023048704, 6467844602500104, 6402373705728641, 1394852659832, 6465229253683224, 6467844602419464, 1395138319832, 65472461603581, 21009968179200, 6403770134514690, 23625316941538, 6466449749760001, 62855547957776, 21009968184190, 65470896691200, 2615348736000, 1394852664508, 6423383674148115], 'label': '1216451004088320000.a.16279200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941514
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [20631178503936000, 356995102464000, 753220435968000, 518918400, 32745561027379200, 4037913], 'label': '1216451004088320000.a.16279200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941515
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [20631178503936000, 11, 518918400, 2410309, 32745561027379200, 21030, 356995102464000, 2325, 124197424, 20629871308569600, 278, 20629870829568001, 225063, 4037913, 3, 37, 3750], 'label': '1216451004088320000.a.16279200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941516
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [7826518270771201, 20631178503936000, 11, 518918400, 2410309, 32745561027379200, 21030, 356995102464000, 2325, 124197424, 278, 225063, 7826518749772800, 4037913, 3, 37, 3750], 'label': '1216451004088320000.a.16279200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941517
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [6446921812533518, 128047474114560000, 56, 6467757424128016, 121710484127232019, 243334661750213913, 243355671714355203, 44460928512000, 128112945135448624, 249737122630195566, 243355671714561984, 243334661748762384, 121645187587123200, 6402460884266318, 65470897142784, 65470896691200, 44461447430400, 65470898546760, 128091935043088206], 'label': '1216451004088320000.a.16279200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941518
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [243290201340620313, 6467844925786971, 87178333704, 249737035535816625, 249758045899084800, 121689648515635200, 243311210869714736, 6446834634240001, 249737035451904024, 249757958565164184, 6467844602459520, 20922789888005, 21009968179200, 847440, 121689561337344720, 121710571305523221, 121689648599547779, 92929939225, 128047561735973905, 243311123607572925, 6446921813297285, 6467757424128627, 128068484247573745, 243311123607552633, 243290200817664000], 'label': '1216451004088320000.a.16279200._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941519
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '31008.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': 15504, 'diagramx': None, 'generators': [376610217984000, 6758061133825869, 4, 140853053484145343, 376610217984148, 19562808566268433, 19228043907072046, 6758061133839391, 16, 19939418763301714, 506143253657010568, 13516122300730718, 711374856192870, 19939418802193144, 19562808545280004, 443, 11, 140852221554861691, 486580407660186869, 6423296522552837, 506143210483425644], 'label': '1216451004088320000.a.31008.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31008.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31008.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941520
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [243290201340620313, 6402374029095771, 121645100408832021, 249713584575483825, 65389470048025, 121689648515635200, 249692575002393600, 243311210869714736, 121666110377011920, 65383718442504, 6402373705768320, 44548106803205, 249757958565164184, 6423383673907201, 21009968179200, 243334748924488125, 847440, 121689648599547779, 243334748924467833, 128112858276082705, 6446921813297285, 6467757424128627, 128068484247573745, 249713584491571224, 243290200817664000], 'label': '1216451004088320000.a.16279200._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941652
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77520, 'diagramx': None, 'generators': [4, 2615348737626, 262897474671518778, 755835784733821, 7890507425552321, 23625316939714, 62855547959641, 25402, 365712059801156442, 512588737175978107, 371361300282227673, 1165115, 615007101328059681, 43240432437521, 22230464281908, 64076044032012, 43240432435290, 749831031590306005, 1486825793116461, 616053240825899730, 512964126899301013, 20], 'label': '1216451004088320000.a.155040._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '155040.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '155040._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941716
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24418800, 'diagramx': None, 'generators': [32410796389197272, 32410796389171220, 518918400, 32410796389172510, 3272464, 32410796391564725, 32410796389171200, 20276798750491112, 20276798750208000, 83871513, 87286, 439, 32410796389171482, 4037913, 4, 20276798750210230], 'label': '1216451004088320000.a.97675200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '97675200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '97675200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941521
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [121666023282632579, 243290201340620313, 6467844925786971, 249737035535816625, 65389470048025, 6402460884019827, 249758045899084800, 243311210869714736, 6446834634240001, 65383718442504, 6423296496382085, 44548106803205, 249737035451904024, 6467844602459520, 249692662025055384, 21009968179200, 243334748924488125, 847440, 121689561337344720, 121710571305523221, 121645187587123200, 243334748924467833, 128112858276082705, 128068484247573745, 243290200817664000], 'label': '1216451004088320000.a.16279200._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941522
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [6402460884019200, 6446922331449600, 2615348736000, 6466536932089113, 21009968179200, 65470896691200], 'label': '1216451004088320000.a.16279200._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941523
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [243290201340620313, 87178291221, 243355584536064024, 243311210869714736, 243311123691464625, 65383718442504, 128068484083505285, 128091935207906545, 128091935043072627, 243290201141036184, 20922789888005, 21009968179200, 128047561292891520, 128068396904448001, 243334748924488125, 128092022544730971, 847440, 65470980603779, 243334749403468800, 92929939225, 243334748924467833, 65470896691200, 128112858276082705, 20922789888720, 243290200817664000], 'label': '1216451004088320000.a.16279200._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941524
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16279200, 'diagramx': None, 'generators': [44460928512000, 249737122630195566, 128071099433330760, 128111550162629913, 65470896691203, 128071099555672624, 65470896897984, 249737122630197518, 44460928528206, 121688253662976016, 121647802936106318, 243292816166400056, 128071099431926784, 121647802935859200, 243312431800838400, 243312431284506384, 249757958241792019, 128048868967219200, 65470896691200], 'label': '1216451004088320000.a.16279200._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16279200.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16279200._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941525
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8314020, 'diagramx': None, 'generators': [733699244678400, 2489811997081113, 756023553331200, 378011816945280, 378011816991513], 'label': '1216451004088320000.a.16628040._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16628040.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16628040._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941526
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8314020, 'diagramx': None, 'generators': [43165748377897, 12972960111, 122045442284954186, 16, 43434471073584, 68, 518918445, 262013875311, 3930208359546, 13412045060, 23, 367434144395, 43428201064065, 85098988516921, 187768651688, 796642449989392, 3, 6266941090, 268282687598], 'label': '1216451004088320000.a.16628040._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16628040.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16628040._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941527
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8314020, 'diagramx': None, 'generators': [43165748377897, 12972960111, 16, 43434471073584, 68, 518918445, 262013875311, 3930208359546, 121667430547801466, 13412045060, 23, 367434144395, 43428201064065, 85098988516921, 187768651688, 796642449989392, 3, 6266941090, 268282687598], 'label': '1216451004088320000.a.16628040._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16628040.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16628040._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941528
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4408950, 'diagramx': None, 'generators': [122000787836928000, 256094948229120000, 122002101738316800, 256099051835827200, 128047474114560000, 256095122629248000, 122002101778642713, 1394852659200, 121646408083200000], 'label': '1216451004088320000.a.17635800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '17635800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '17635800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941529
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8817900, 'diagramx': None, 'generators': [243292909608362886, 122002101738316800, 378097043784370713, 128048781788934480, 256094948229120000, 128047474114560000, 250049663031168720, 122000787836928000, 122002095511306800, 256099051835827200, 250052278379904001, 12804834589747320, 12806142264444246, 371340377459251305, 134806842922919241, 12808763839872080, 87178291202, 1307674368006, 1394852659200, 250049569665772800], 'label': '1216451004088320000.a.17635800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '17635800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '17635800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941530
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 19380, 'diagramx': None, 'generators': [12806142264115200, 1314424345113, 6758061133824000], 'label': '1216451004088320000.a.38760._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '38760.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38760._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941653
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [122000875015219205, 1394852987649, 122003490363971160, 122002095511296120, 122002095511296001, 122002095511296024, 122000875015219305, 122000875298589009, 122000880807193113, 2615348736000, 522956313, 122003490806669649, 1665, 122000875015219221, 1394852715480, 122003490365819553, 122003490842956800, 378840], 'label': '1216451004088320000.a.65116800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '65116800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '65116800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941654
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [122002182690026681, 1394936530713, 1394852659382, 1394852659200, 48, 122003403185668467, 23, 2615349064380, 122003403185664016, 122000787836928000, 188520, 122002182689587308, 2615867654400, 4037913, 1394852659204, 122002182689875358], 'label': '1216451004088320000.a.65116800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '65116800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '65116800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941531
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8817900, 'diagramx': None, 'generators': [486957011853336771, 33455541048416070, 33476644404403200, 122045248772380953, 486978115226803204, 43545600, 141940206600192015, 730668458177003673, 19586433862195200, 85005060945267, 121647802935859200, 40325913, 155103343966802310, 494786232651110474, 621076018058496000, 1153375019596800, 269255389295702313, 628856686775117450, 757343707606886400, 390611668047304089, 355868011699200], 'label': '1216451004088320000.a.17635800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '17635800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '17635800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941532
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4618900, 'diagramx': None, 'generators': [6758061133824000, 22324388486400, 5580368640000, 274986835200, 46233, 1447875741312000, 958003200, 81513, 6402373705840888, 12454041600], 'label': '1216451004088320000.a.18475600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18475600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18475600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941533
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9237800, 'diagramx': None, 'generators': [4197012019233, 262583803279060498, 26008342211192968, 181062604804, 45280940452073198, 32392676237645395, 166569120482716003, 1781146373552280, 43340543769777, 6706022400, 4110312730007, 3669120, 20, 1575915264617, 25987499893564924, 4, 186810624522, 100111334407], 'label': '1216451004088320000.a.18475600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18475600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18475600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941655
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10852800, 'diagramx': None, 'generators': [255654, 74, 518918400, 124197424, 388, 33143094035251201, 12, 3562208, 33143094514252800, 25673570866944000, 2906, 4037913, 14547, 3, 1689307], 'label': '1216451004088320000.a.65116800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '65116800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '65116800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941534
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9237800, 'diagramx': None, 'generators': [6780385522310400, 4, 52, 2594425946112000, 1132458975648000, 194035564800, 391, 38880, 2432, 46233, 1284254859347712000, 958003200, 2976515942400, 6813318758400, 1090949136076800, 6706022400, 274467916800, 8, 5640, 20], 'label': '1216451004088320000.a.18475600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18475600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18475600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941535
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '18604800.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': 9302400, 'diagramx': None, 'generators': [129117238925875200, 518918400, 609337025256960000, 4037913], 'label': '1216451004088320000.a.18604800.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18604800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18604800.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941536
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9767520, 'diagramx': None, 'generators': [287409, 518918400, 1069764811315200, 31117, 1422837369676800, 774230404147200, 207531, 83871513, 33, 19, 1227332, 4037913, 281, 288128, 4, 3044], 'label': '1216451004088320000.a.19535040._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19535040.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19535040._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941537
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9767520, 'diagramx': None, 'generators': [122777633589811200, 421071146496000, 518918400, 4037913, 774230404147200], 'label': '1216451004088320000.a.19535040._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19535040.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19535040._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941538
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9767520, 'diagramx': None, 'generators': [122419330812979201, 609, 156273, 421071146496000, 1446379117327939, 4037913, 1693470, 124197424, 16, 518918400, 1924, 774230404147200, 5760, 1328, 81, 122419331291980800, 3, 282856], 'label': '1216451004088320000.a.19535040._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19535040.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19535040._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941539
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [122000787836928000, 121646408083200000, 134805535252421913, 256450635660844800, 256094948229120000, 243291602376345600, 128047474114560000], 'label': '1216451004088320000.a.21162960._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21162960.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21162960._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941540
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [41938985088000, 6425912195575207, 20922833842713, 20922829804800, 22323869568000], 'label': '1216451004088320000.a.21162960._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21162960.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21162960._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941541
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 38760, 'diagramx': None, 'generators': [6706022400, 121645106635852800, 122023018301184000, 128047474114560000, 6270975513], 'label': '1216451004088320000.a.38760._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '38760.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38760._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941542
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [36334233, 12298, 561, 163026082, 1527533, 100, 43545600, 12, 36230, 122444270203064972, 40325913, 1841379866726400, 2586384, 19, 1821683799936000, 379406194277913, 4, 21086], 'label': '1216451004088320000.a.21162960._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21162960.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21162960._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941543
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5426400, 'diagramx': None, 'generators': [12806142264115200, 6760677001478400, 356995102464000, 13160522021881113, 12804747411456000], 'label': '1216451004088320000.a.21705600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21705600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21705600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941736
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [7912924894022400, 32433026853427200, 26030565969408000, 87657292800, 7, 2483, 614, 3991680, 2160465345561600, 64076044032000, 1878336, 46233, 20, 4016907417600, 20904, 7912924890393601, 3, 99, 1804777438464000], 'label': '1216451004088320000.a.105814800._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941544
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10852800, 'diagramx': None, 'generators': [357082280755205, 13163050188288006, 6402373705728633, 13161829692211201, 355687428424473, 12804747411456000, 355687428096024, 355687428096120, 355687428222720, 6403768558387920, 13160434839552021, 355687428580560, 12806142264115200, 13160440631525913, 6758061656780313, 6758061137130987, 6403769001106587, 6402374184729600, 12804747411492033, 13160434839770184], 'label': '1216451004088320000.a.21705600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21705600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21705600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941545
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10852800, 'diagramx': None, 'generators': [19921111322112001, 2790, 356597, 4037913, 643, 26071, 83871513, 518918400, 41845579776000, 31118, 19921111801113600, 19, 32076031750963200, 3, 1227332, 42, 51519, 15, 3031, 20908], 'label': '1216451004088320000.a.21705600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '21705600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '21705600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941546
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '22170720.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': 22170720, 'diagramx': None, 'generators': [121645100409194880, 22324388486400, 121666023198720000, 128047474114560000, 249692574523801113], 'label': '1216451004088320000.a.22170720.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '22170720.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '22170720.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941547
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '23279256.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': 23279256, 'diagramx': None, 'generators': [2512130158137600, 128047474114560000, 2715460070400, 6713207424000, 51241314034310400, 175314585600, 128425485933954668, 958003200, 12972960000, 408960, 349232083200, 2408280, 33, 122023112225414400, 732316846060800], 'label': '1216451004088320000.a.23279256.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23279256.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23279256.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941737
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [3923067058713, 2789705318400, 1401119596800, 2708754048000, 1401123634713, 355862103735600], 'label': '1216451004088320000.a.105814800._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941548
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '24186240.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': 6046560, 'diagramx': None, 'generators': [422647062737256, 397720297500297, 12454042091, 1530153846498473, 23632022938421, 87657292878, 1401580722409, 1401577454128, 174356582791, 400335646279738, 444708917579479, 4103606707766, 100111334404, 12454041603, 100111334542, 5492711348704, 513, 1407306700859, 3], 'label': '1216451004088320000.a.24186240.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24186240.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24186240.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941549
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '24418800.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': 24418800, 'diagramx': None, 'generators': [21009968179204, 522956313, 44460928512100, 4475, 6423384077113112, 65470896691211, 23538138672986, 1308153369600, 6403681380096000, 6402373705731752, 163756381, 21009968224560, 6403681420421913, 21009968179200, 6444306463802896, 6402373705728001, 65470896691200, 6402373742425113, 44460928521514, 44460928512628], 'label': '1216451004088320000.a.24418800.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24418800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24418800.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941550
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13226850, 'diagramx': None, 'generators': [43545600, 281792237818291200, 864742922499456000, 38793561206400000, 40325913, 487689490082995200, 25990034291020800, 249693882197760000, 385565346412646400], 'label': '1216451004088320000.a.26453700._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26453700.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26453700._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941551
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13226850, 'diagramx': None, 'generators': [409783985, 18548304, 3731, 4, 281792237818291200, 3312151, 3757, 329950369, 29439504, 33086556, 249693882197760000, 40325913, 13185280652544005, 385565346412646400, 55, 26064, 487689490082995200, 43545600, 38793561206400000, 13185280692460800, 1459, 250116625, 34212496, 11, 613, 864742922499456000], 'label': '1216451004088320000.a.26453700._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26453700.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26453700._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941552
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '20.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': '20T1116', 'count': 20, 'diagramx': None, 'generators': [22324392524313, 6758061133824000], 'label': '1216451004088320000.a.20.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '20.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '20.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941553
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14535, 'diagramx': None, 'generators': [122000787836928000, 122002102261273113, 122002182689587200], 'label': '1216451004088320000.a.58140._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58140.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58140._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941554
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13226850, 'diagramx': None, 'generators': [409783985, 18548304, 3731, 4, 281792237818291200, 3312151, 3757, 329950369, 29439504, 33086556, 249693882197760000, 40325913, 385565346412646400, 55, 26064, 487689490082995200, 43545600, 38793561206400000, 1459, 250116625, 34212496, 11, 13245520851763205, 13245520891680000, 613, 864742922499456000], 'label': '1216451004088320000.a.26453700._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26453700.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26453700._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941555
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [122004885216614505, 128403161586610713, 1307674368001, 13164357862692159, 378097043766221670, 256094948229120000, 364936696079195520, 4103606707200, 249693882197760000, 249692755107010551, 122000962230161400, 249693975603108129, 180583614270, 1313901388800, 364935301266412800, 128403335899238421, 256096255903488005, 378095823244365270, 378098357678498433, 364935301226496120, 378095736066048000, 364935388404788865, 249696678130099206, 1394852659200], 'label': '1216451004088320000.a.26453700._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26453700.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26453700._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942227
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55426800, 'diagramx': None, 'generators': [256094948229120008, 122000787836928583, 518918400, 256094948229120000, 378095736066048038, 5498941996800, 122000787836928873, 256094948229136144, 122000787836928119, 378095736066048000, 256094948229120019, 4, 45360], 'label': '1216451004088320000.a.665121600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941556
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [392327162441873454, 13520132469043211, 14584585920923790, 628502307021388803, 134848694729564813, 890307956393856059, 616406319117390414, 756947482273382473, 135939295559295512, 1447769881958400, 40325913, 391257478579989048, 1803463537075200, 147635128472832000, 628166228481792000, 391257478579968000, 43545600, 742760435876659200, 365335449584601864, 366779128314258864, 136294976359751190, 25987418942284800, 615697640561203566], 'label': '1216451004088320000.a.26453700._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '26453700.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '26453700._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941557
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '27713400.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': 27713400, 'diagramx': None, 'generators': [121645100408872320, 121666023198720000, 249714898915507200, 128047474114560000, 243290200817710233], 'label': '1216451004088320000.a.27713400.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27713400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27713400.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941558
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 38760, 'diagramx': None, 'generators': [13499954224, 12976997913], 'label': '1216451004088320000.a.27907200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27907200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27907200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941559
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9302400, 'diagramx': None, 'generators': [288054, 328685, 208, 123111090553651201, 709, 63, 4037913, 124197424, 513634876634880000, 518918400, 1179, 3608024, 1864039, 123111091032652800, 3, 11, 25, 15, 11364], 'label': '1216451004088320000.a.27907200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27907200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27907200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941560
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7054320, 'diagramx': None, 'generators': [42019936399393, 128110423088732217, 128047648471142455, 1394852661517, 243294130067806357, 128047474114560004, 128050263819881388, 128051484316219730, 48, 243377821294765217, 128047474114560000, 4103606707876, 2708754048025, 128050182868608362, 243334836104931018, 128047474114560023, 2789705424490], 'label': '1216451004088320000.a.28217280._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '28217280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28217280._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941561
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14108640, 'diagramx': None, 'generators': [243290468579558412, 6706022420, 108718035149147, 128047474114560020, 243311304191159580, 87657292816, 128047474114560004, 243311310897177615, 128047474114560000, 128156192157688259, 86399913600007, 128156273101146797, 22324352198400, 128115648054183737, 243358468125696068, 243293002977024019, 45868237241783], 'label': '1216451004088320000.a.28217280._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '28217280.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28217280._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941778
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66512160, 'diagramx': None, 'generators': [4110831724390, 6449625339247452, 6893312040347, 4110831648020, 268280812873, 4022655465869, 518919062, 128500801273663, 12972960495, 193077562007, 15, 12972960003, 23544887057796, 94363316623, 3, 100111334407], 'label': '1216451004088320000.a.133024320._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133024320.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133024320._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941562
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14108640, 'diagramx': None, 'generators': [249692574527020800, 243290468579558412, 6706022420, 108718035149147, 128047474114560020, 243311304191159580, 87657292816, 128047474114560004, 243311310897177615, 128047474114560000, 128156192157688259, 86399913600007, 128156273101146797, 128115648054183737, 243358468125696068, 243293002977024019, 45868237241783], 'label': '1216451004088320000.a.28217280._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '28217280.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28217280._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941563
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14108640, 'diagramx': None, 'generators': [243290468579558412, 6706022420, 108718035149147, 128047474114560020, 243311304191159580, 87657292816, 128047474114560004, 243311310897177615, 128047474114560000, 128156192157688259, 86399913600007, 128156273101146797, 128115648054183737, 243358468125696068, 243293002977024019, 249714898871961600, 45868237241783], 'label': '1216451004088320000.a.28217280._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '28217280.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '28217280._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941564
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 29070, 'diagramx': None, 'generators': [356995102464000, 357089030732313], 'label': '1216451004088320000.a.58140._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '58140.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '58140._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941565
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 15116400, 'diagramx': None, 'generators': [38414416590950400, 149120827163174326, 371779849772977453, 262581193681230139, 7155681319988836, 1425539417702400, 7, 19269889486848077, 763391614380931527, 520016327550725615, 14625036358733475, 3, 7494281803025189, 39485401898342419], 'label': '1216451004088320000.a.30232800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30232800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30232800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941566
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 30232800, 'diagramx': None, 'generators': [1331, 1821683799936000, 107, 449700784, 23706896, 3312204, 6940953, 469, 40325913, 39527166526848000, 26519, 43545600, 3927, 2950110, 513, 36011, 3, 17873529, 4320, 12], 'label': '1216451004088320000.a.30232800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30232800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30232800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941567
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 30232800, 'diagramx': None, 'generators': [396, 4, 73, 2585726, 1614, 2946486, 40325913, 289307790, 260, 43545600, 2586444, 756590487170918400, 122799783102796800, 487295786692915200, 38919660, 26526, 376784574566400, 871812297311155200, 6215190, 15], 'label': '1216451004088320000.a.30232800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '30232800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '30232800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941568
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '31177575.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': 31177575, 'diagramx': None, 'generators': [121646408083200000, 256094948229120000, 378095736066048000, 243647289848350080, 243301413638707200, 243290200817664000], 'label': '1216451004088320000.a.31177575.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31177575.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31177575.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941569
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [128091935047109913, 128047474114560003, 243355671714356865, 128091935126943513, 243311210788429592, 21009968182110, 128047474114560000, 128112945011339910, 243290200818083240, 518918400, 44460930372706, 243334661746176081, 21009968179200, 35407, 21009968179831, 243290200817664103, 11, 65470896691200], 'label': '1216451004088320000.a.32558400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941570
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [22230983174400, 2615348736000, 64076048069913, 65470896691200, 44460928512000], 'label': '1216451004088320000.a.32558400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941779
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66512160, 'diagramx': None, 'generators': [4110831724390, 6449631565864332, 6893312040347, 4110831648020, 268280812873, 4022655465869, 518919062, 128500801273663, 12972960495, 193077562007, 15, 12972960003, 23544887057796, 94363316623, 3, 100111334407], 'label': '1216451004088320000.a.133024320._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133024320.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133024320._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941571
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5426400, 'diagramx': None, 'generators': [128048868967219211, 65470896692865, 21009968182110, 243312431283780706, 128111550162629913, 128111550242463513, 128111550158592081, 243333441250187910, 518918400, 243292816166400003, 128089319694336631, 21009968179200, 128048868967638440, 243292816166435407, 65470896691200, 243353056368205592, 243292816166400103, 243292816166400000], 'label': '1216451004088320000.a.32558400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941572
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [41932761379353, 243332133575731305, 243332133575731201, 128112945012023985, 243355671714371265, 1855560, 128071012253184021, 128047474115008560, 442713729, 128047474114560000, 128047474637516313, 243332133575731320, 243332134054732800, 243332133575735673, 65470896691200, 23538138624005, 23538138664320], 'label': '1216451004088320000.a.32558400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941573
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [121645187587123200, 1394852659200, 122002182693625113, 1395371577600, 358389955123200], 'label': '1216451004088320000.a.32558400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941574
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [518918400, 732384824372229, 32786011838367513, 20297808718674632, 32786011754496000, 7513896918528037, 7869671524915203, 13516122267678392, 2365, 15, 25673570869892552, 13516122267648000, 4037913, 20297808720609984, 32786011754496526, 13160522017843200], 'label': '1216451004088320000.a.32558400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941575
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 38760, 'diagramx': None, 'generators': [733605320448004, 7115056360382670, 41845579986956, 506896486900189556, 11, 753220639590029, 398840682240016, 22230464256000, 269611070735514239, 733605683865579, 7469436433349164, 633855919988040889, 13538352928748856, 506896431819000469, 3, 1068369958656115, 22230464256207, 41845579779467, 753220435968698], 'label': '1216451004088320000.a.77520._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '77520.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77520._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941576
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [121647721549541913, 122003403185664015, 122002182689588310, 355687907097600, 358302776832006, 121646495261491202, 355687428136320, 121647715757568001, 122000788359884313, 355687428458880, 122003408498636313, 122002182689588184, 121647715881310080, 840, 122003403185664000, 121646495261491833, 121958, 122003403185700033, 122000787837254454, 122002183132301640, 122002182813755703, 121646495261491224, 357082280755712, 1394852659200, 121646500095461913], 'label': '1216451004088320000.a.32558400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941577
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [128047474114560003, 243311210788429592, 121689648515635831, 121689648515635200, 21009968182110, 128047474114560000, 6446921812619910, 243290200818083240, 243290200817665665, 518918400, 121710484129092706, 6467757428165913, 21009968179200, 6467757507999513, 35407, 243290200817664103, 11, 243311210785843281], 'label': '1216451004088320000.a.32558400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941578
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [122002182689588310, 122000875015259520, 122000787837254454, 2702527027833, 2702527027202, 122003408498636313, 2702527027224, 1394852659200, 121958, 122003490363955712, 122002095511296006, 2707360997913, 122002183132301640, 122002182689588184, 840, 122003403185700033, 122000788359884313, 122003403185664015, 1307798110080, 122000875494220800, 1313466341913, 122003403185664000, 1307674368001, 122000875015582080, 122002182813755703], 'label': '1216451004088320000.a.32558400._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941579
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [121689561337384320, 121666110380323353, 249713584970572800, 128112945012023985, 249713584491571320, 243355671714371265, 1855560, 442713729, 128047474115008560, 128047474114560000, 128047474637516313, 6446834634240021, 121689561337344005, 249713584491575673, 249713584491571305, 249713584491571201, 65470896691200], 'label': '1216451004088320000.a.32558400._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941580
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16279200, 'diagramx': None, 'generators': [121647721549541913, 358390079291703, 122000875494220800, 358390397837640, 356995102464015, 122000875015259520, 122000875015582080, 358389955124184, 122003490363955712, 121646495261491202, 121647715757568001, 122002095511296006, 121647715881310080, 840, 121646495261491833, 121958, 357000415436313, 355775129343513, 356995102500033, 121646495261491224, 355774606713654, 358389955123200, 1394852659200, 358389955124310, 121646500095461913], 'label': '1216451004088320000.a.32558400._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941581
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16279200, 'diagramx': None, 'generators': [1394852659200, 1308153369600, 355778917401602, 522956313], 'label': '1216451004088320000.a.32558400._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941582
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32558400, 'diagramx': None, 'generators': [5120, 1090600422912000, 56, 31091, 627, 33389, 266877, 20297808718387200, 3332929, 4037913, 7869584825625600, 518918400, 164523330, 538809, 103, 3, 3307113, 8, 3109, 7869584346624001], 'label': '1216451004088320000.a.32558400._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32558400.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32558400._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942228
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [256094948229120126, 256094948229165360, 128403161542696320, 256094948229120000, 256094948229120016, 354980102400, 256094948229131101, 256094948229155433, 256094948229120048, 873, 256094948229120023, 256094948229120639, 4, 6719956992000, 256094948229120273], 'label': '1216451004088320000.a.665121600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942251
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 355687428096000, 'diagramx': None, 'generators': [2231700914111158, 2314577861059795193], 'label': '1216451004088320000.a.355687428096000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '355687428096000._.A', 'old_label': '355687428096000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '355687428096000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941583
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '33256080.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': 8314020, 'diagramx': None, 'generators': [6545556864573, 104707833753992, 518918415, 181062605443, 7, 268280812851, 355419187215, 2877362611849, 85092279149299, 1151034138778209, 418643567776242, 64263815610249, 64263813621013, 126851598720015, 779723115494744, 43172893209936, 3, 1527712854028275, 379413335350685, 15], 'label': '1216451004088320000.a.33256080.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '33256080.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '33256080.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942252
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2325600, 'diagramx': None, 'generators': [20929539865113, 20929016908800, 6402441680812800, 22230464256000], 'label': '1216451004088320000.a.2325600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2325600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2325600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941584
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4408950, 'diagramx': None, 'generators': [6760676482560278, 365292302555991720, 371337768377861913, 134808150597120108, 122002276100388600, 4103606707200, 12808676661580804, 1313901388800, 250048355356800387, 122000787836928000, 128050089463296007, 12806061315437225, 371341778540791680, 250048436308074408, 378095736066048000, 1394852659200, 250048355400345600, 1488257971223, 243290200817664000], 'label': '1216451004088320000.a.35271600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35271600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35271600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941585
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [3105, 81, 178, 123490409881351206, 1113005243750400, 43545600, 421251774053913, 1465990144819200, 27515, 34463, 1152235474790400, 40325913, 369867183, 19, 4773720, 36011775, 3, 2949152, 3710, 418630154342400], 'label': '1216451004088320000.a.35271600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35271600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35271600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941586
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77520, 'diagramx': None, 'generators': [13516122267648000, 93928268313, 6779071102003200, 13181357629440000], 'label': '1216451004088320000.a.77520._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '77520.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77520._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941587
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [6403681380096000, 355687468012800, 355687472050713, 13161835919232000, 6758061133824000], 'label': '1216451004088320000.a.35271600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '35271600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '35271600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941588
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '36951200.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': 4618900, 'diagramx': None, 'generators': [268280989116, 12972960004, 818959613477022, 100630253443, 47344997145947, 20654997337709038, 958003220, 5337514828893, 15, 1575915264495, 26241184569799, 13412045188, 4, 821568695270420, 5318873683207, 759939910356888], 'label': '1216451004088320000.a.36951200.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36951200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36951200.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941589
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '38798760.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': 38798760, 'diagramx': None, 'generators': [134451249418886400, 121646408083200000, 134449847820697113, 249692574523754880, 256094948229120000, 378095736066048000, 243290200817664000], 'label': '1216451004088320000.a.38798760.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '38798760.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38798760.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941590
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9767520, 'diagramx': None, 'generators': [518918400, 1108995042355200, 4037913, 1465990144819200], 'label': '1216451004088320000.a.39070080._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39070080.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39070080._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941591
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9767520, 'diagramx': None, 'generators': [31131, 123070465948953600, 327762, 123070465469952001, 215, 518918400, 11, 168761, 1636428, 775450900224000, 1108997657176428, 26089, 23, 3047, 83871513, 78, 9544, 4037913, 3, 242790], 'label': '1216451004088320000.a.39070080._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39070080.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39070080._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941592
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9767520, 'diagramx': None, 'generators': [31131, 327762, 215, 121710571305523201, 518918400, 11, 168761, 1636428, 775450900224000, 1108997657176428, 121710571784524800, 26089, 23, 3047, 83871513, 78, 9544, 4037913, 3, 242790], 'label': '1216451004088320000.a.39070080._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39070080.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39070080._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942253
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1946321606541312.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': 633568231296, 'diagramx': None, 'generators': [128424084332544000, 408960, 93924230400, 33], 'label': '1216451004088320000.a.1946321606541312.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1946321606541312.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1946321606541312.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941593
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '39680550.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': 39680550, 'diagramx': None, 'generators': [122734393157376000, 11, 87794766259200, 121645100408832001, 20929016908800, 1509939, 43545600, 103, 6215190, 4472, 169546464, 121645106635852800, 891352781986867200, 268921926104832000, 40325913, 631, 2586384, 18565780, 31188, 121645100448748800, 4, 26075], 'label': '1216451004088320000.a.39680550.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '39680550.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '39680550.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941594
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '40310400.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': 40310400, 'diagramx': None, 'generators': [33500089616716800, 29449, 7176516931584000, 3757, 285, 1140784, 48, 3991680, 15, 46233, 872526287516083200, 128425479185203200, 3, 4601], 'label': '1216451004088320000.a.40310400.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40310400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40310400.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941595
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7054320, 'diagramx': None, 'generators': [41938985088000, 20922833842713, 20922829804800, 22323869568000], 'label': '1216451004088320000.a.42325920._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941596
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [1756802, 1821683804624919, 1313903975439, 45774831424573, 2223531, 2223906, 22913805, 1501091, 86480867458558, 66784801634735, 1313904701465, 2949164, 20, 206320961, 1313903251811, 3, 123130793254706220, 1113005246336795, 392], 'label': '1216451004088320000.a.42325920._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941597
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77520, 'diagramx': None, 'generators': [378005070643200, 518918400, 128047474114560000, 4037913, 121645100887833600], 'label': '1216451004088320000.a.77520._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '77520.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77520._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941656
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16279200, 'diagramx': None, 'generators': [421, 522956313, 358302776832118, 83944846, 2615348736952, 357082280780974, 357085410826974, 357082759756800, 355687428096017, 355687428096002, 357082281500467, 358302776832001, 47296, 1396897272517, 1394852685615, 1394852659407, 2615352059732, 11172, 1394852659200, 357084885010266], 'label': '1216451004088320000.a.65116800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '65116800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '65116800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941657
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16279200, 'diagramx': None, 'generators': [1394852659200, 1395371577600, 355774610425113, 358389955123200], 'label': '1216451004088320000.a.65116800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '65116800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '65116800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941598
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [12805015202803337, 128047474114560230, 378095748520090110, 128047648502492845, 256096255907116800, 256094948229120000, 122000974676584498, 250048362062837088, 378095736066048020, 365290988654592003, 93423895899, 250048261962823839, 134805535248384033, 250048261951494273, 256095035886414780, 128047648471142607, 378095736066048000, 6763566332307182, 250048448777312587, 243290200817664000, 371337775043558936], 'label': '1216451004088320000.a.42325920._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941658
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32558400, 'diagramx': None, 'generators': [6760676482560000, 12806142264117697, 6403681380914267, 358389955159680, 6760676482563802, 6760676482560020, 13160522017845480, 6760676482560096, 12806142268153113, 358390079320624, 6403681380096000, 7, 6760677001478400, 13160522017859528, 6403681380344027, 13160522017843203], 'label': '1216451004088320000.a.65116800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '65116800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '65116800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941599
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [12805015202803337, 128047474114560230, 378095748520090110, 256450635660844800, 128047648502492845, 256094948229120000, 122000974676584498, 250048362062837088, 378095736066048020, 365290988654592003, 93423895899, 250048261962823839, 134805535248384033, 250048261951494273, 256095035886414780, 128047648471142607, 378095736066048000, 6763566332307182, 250048448777312587, 243290200817664000, 371337775043558936], 'label': '1216451004088320000.a.42325920._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941600
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [12805015202803337, 128047474114560230, 378095748520090110, 128047648502492845, 256094948229120000, 122000974676584498, 250048362062837088, 378095736066048020, 365290988654592003, 93423895899, 250048261962823839, 134805535248384033, 250048261951494273, 121646408083200000, 256095035886414780, 128047648471142607, 378095736066048000, 6763566332307182, 250048448777312587, 243290200817664000, 371337775043558936], 'label': '1216451004088320000.a.42325920._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941601
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [16584, 2210, 1128960, 55, 14560560, 1070985307392000, 43545600, 10080, 1803463537075200, 40325913, 419856921394713, 3, 458, 8, 513], 'label': '1216451004088320000.a.42325920._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942254
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '24825530695680000.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': 957775104000, 'diagramx': None, 'generators': [522955440, 128425479185203200], 'label': '1216451004088320000.a.24825530695680000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24825530695680000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24825530695680000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941602
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [1488257974965, 4010201395204, 16, 1394852667148, 425, 93405312112, 65471333680758, 83784565207730, 1394852659203, 23, 45855789670975, 65470897851982, 44554333856720, 65470899278457, 6465229657298224, 3, 93405312015], 'label': '1216451004088320000.a.42325920._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942255
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '64023737057280000.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': 7113748561920000, 'diagramx': None, 'generators': [206541139140252569], 'label': '1216451004088320000.a.64023737057280000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64023737057280000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64023737057280000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941603
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [1488257974965, 4010201395204, 16, 1394852667148, 425, 93405312112, 65471333680758, 83784565207730, 1394852659203, 23, 45855789670975, 6466537287711513, 65470897851982, 44554333856720, 65470899278457, 3, 93405312015], 'label': '1216451004088320000.a.42325920._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941604
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [1756802, 1821683804624919, 1313903975439, 45774831424573, 122758106015871514, 2223531, 2223906, 22913805, 1501091, 86480867458558, 66784801634735, 1313904701465, 2949164, 20, 206320961, 1313903251811, 3, 1113005246336795, 392], 'label': '1216451004088320000.a.42325920._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941605
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [128047474117146392, 249776352861235200, 44460928512000, 128047474521394712, 128047474114560020, 128047474114560003, 243290200857989913, 243290200832588537, 243290200817695122, 24845812992000, 128047474125853351, 243373979199461913, 128047474144025572, 128047474114560000, 128047474125860678, 34192224, 243290200817664086, 128047474114591616, 3664994, 128047474158105600, 243290200817695154], 'label': '1216451004088320000.a.42325920._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941606
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [22324352198400, 4037913, 44647739136000, 43247138457600, 6406390142219841], 'label': '1216451004088320000.a.42325920._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '42325920.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '42325920._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941659
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32558400, 'diagramx': None, 'generators': [31088, 518918400, 1640, 245175000, 55, 640279216152576000, 12, 107, 122377485712204800, 410, 360721, 122377485233203201, 13764, 3124, 4037913, 4, 782040], 'label': '1216451004088320000.a.65116800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '65116800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '65116800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941607
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '43411200.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': 5426400, 'diagramx': None, 'generators': [203, 6759455986484718, 1394853477424, 6758061133824000, 12804747411456003, 12806142264115215, 12807362760192000, 12806142264364937, 16449, 6760676482726440, 6760676482560081, 6759455990521113, 12807362760192469, 6758061217695513, 6758061652742400, 2615348838991, 6760676482563820], 'label': '1216451004088320000.a.43411200.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '43411200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '43411200.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941608
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '92378.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': 92378, 'diagramx': None, 'generators': [1284254859347712000, 256850971782451200, 2379060763027609113, 250070586339974400], 'label': '1216451004088320000.a.92378.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '92378.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '92378.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941660
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66512160, 'diagramx': None, 'generators': [53476854480, 249693882197760000, 121645149135591277, 269298536322816000, 873, 6749971200], 'label': '1216451004088320000.a.66512160._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66512160.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66512160._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941609
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22170720, 'diagramx': None, 'generators': [128110249231073116, 354980309921, 268280980030, 355938352696, 128047474114560004, 128049049591026710, 958003271, 243290200820250366, 128047474114560000, 958004835, 243291776736531277, 243297101358099764, 243290219538643204, 1663135349298, 566, 243290200817664008, 128047655696083216, 128047475072563223, 121666023198720000, 243295705544298325], 'label': '1216451004088320000.a.44341440._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44341440.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44341440._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941661
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66512160, 'diagramx': None, 'generators': [20922790297113, 22324388486400, 41939504006400, 6423489575959756, 20922790250880], 'label': '1216451004088320000.a.66512160._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '66512160.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '66512160._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941662
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [121645100448748800, 355774606387200, 355687472050713, 122377398054912000, 121666116604032000, 376610217984000], 'label': '1216451004088320000.a.70543200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941610
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22170720, 'diagramx': None, 'generators': [128110249231073116, 354980309921, 268280980030, 355938352696, 128047474114560004, 243311123607961113, 128049049591026710, 958003271, 243290200820250366, 128047474114560000, 958004835, 243291776736531277, 243297101358099764, 243290219538643204, 1663135349298, 566, 243290200817664008, 128047655696083216, 128047475072563223, 243295705544298325], 'label': '1216451004088320000.a.44341440._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44341440.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44341440._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941611
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22170720, 'diagramx': None, 'generators': [128110249231073116, 354980309921, 268280980030, 355938352696, 249692574523801113, 128047474114560004, 128049049591026710, 958003271, 243290200820250366, 128047474114560000, 958004835, 243291776736531277, 243297101358099764, 243290219538643204, 1663135349298, 566, 243290200817664008, 128047655696083216, 128047475072563223, 243295705544298325], 'label': '1216451004088320000.a.44341440._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '44341440.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '44341440._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941663
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '190.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': 190, 'diagramx': None, 'generators': [122000787836928000, 357089030732313, 376610217984000], 'label': '1216451004088320000.a.190.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '190.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '190.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941612
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '45349200.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': 45349200, 'diagramx': None, 'generators': [27809016042931200, 26784048419251200, 1140784, 103, 3991680, 34572, 4916, 46233, 6490255650278400, 3, 39506418572544000, 33185114450611200, 8, 721, 569], 'label': '1216451004088320000.a.45349200.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '45349200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '45349200.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941613
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23279256, 'diagramx': None, 'generators': [87178654080, 174875500800, 121645206311695920, 93924230400, 87178700313, 262518244724736000, 12804747411456000], 'label': '1216451004088320000.a.46558512._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46558512.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46558512._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941614
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23279256, 'diagramx': None, 'generators': [2156361738854400, 128047474114560000, 775087454406988800, 986343562458777600, 193516646400, 958003200, 2622573676800, 45194627756678400, 12972960000, 408960, 2408280, 33, 122023112225414400, 268280812800], 'label': '1216451004088320000.a.46558512._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46558512.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46558512._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941615
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23279256, 'diagramx': None, 'generators': [86407, 11, 981468552415963006, 19607456803425171, 10083, 958044240, 128425485934730773, 493469423722639459, 362904, 6706113162, 87807220346176, 126932550035859, 12973086008, 354980102519, 19160144643, 4, 1096962352596714317], 'label': '1216451004088320000.a.46558512._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46558512.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46558512._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941616
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '47028800.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': 47028800, 'diagramx': None, 'generators': [918, 59, 5912, 506854585036800000, 385276437555609600, 771993, 22230464256000, 3991680, 128047474114560000, 892107235855584000, 4340, 19, 46233, 4, 513, 392], 'label': '1216451004088320000.a.47028800.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '47028800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '47028800.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941617
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [6423296495616000, 21009968179200, 522956313, 6402374184729600], 'label': '1216451004088320000.a.48837600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48837600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48837600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941618
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [62768772926554, 22317643317770, 22317642623753, 22318121548800, 44460928512000, 43153700174944, 22317642547214, 44460928803881, 43153696899607, 65470896695753, 403247216, 22317642547206, 522956313, 62768369664001, 65470896691304, 44460931989304, 443077326, 2702527198784, 65470896691200], 'label': '1216451004088320000.a.48837600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48837600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48837600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941619
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '93024.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': 93024, 'diagramx': None, 'generators': [93405312000, 2911458, 38060899800, 539, 52, 9513, 170760, 141563596382208000, 37347635, 2214, 486601411603507200, 263727840, 328439, 1118008, 378095736066048000, 522956313, 25299413, 20, 3, 63144385920], 'label': '1216451004088320000.a.93024.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941664
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77520, 'diagramx': None, 'generators': [376610740940313, 13516122267648000, 13516215672960000, 711374856192000, 19939418763264000], 'label': '1216451004088320000.a.155040._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '155040.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '155040._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941620
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [6446834634240006, 44460928512108, 6423383673907201, 44460928512000, 21009968179200, 6467845081420800, 21009969703495, 44465755183920, 6402373707953782, 6446834634241646, 6446834636821110, 6423383675043632, 6423385359668874, 44461213432096, 6446834634366648, 6467844602419221, 6402373705728577, 522956313, 3, 6423383837606400], 'label': '1216451004088320000.a.48837600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48837600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48837600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941621
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24418800, 'diagramx': None, 'generators': [384, 32389874078284800, 61344, 12870218308147200, 4037913, 1636428, 395, 83871513, 518918400, 292988, 236808, 513, 32389873599283201, 3749, 3, 32745561027379200, 99, 15, 7630, 1007], 'label': '1216451004088320000.a.48837600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48837600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48837600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941665
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [123490322347392000, 36334233, 59, 1313901388800, 31106, 1138473, 122004885216614401, 43545600, 1087985074176000, 64169449344000, 21037, 40325913, 1353, 395, 20, 3, 122004885256531200, 36147], 'label': '1216451004088320000.a.70543200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941622
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24418800, 'diagramx': None, 'generators': [6402460884019200, 65471061623637, 6467757425799685, 6446921812531281, 6467757424249366, 44460932549913, 6467757424255353, 6402460884019208, 6467757424128285, 518918400, 44460928512004, 6402460884019219, 65470896722331, 21009968179200, 21009968183349, 6402460884040225, 6467760826359024, 6423296495620480, 65470896691200, 3647], 'label': '1216451004088320000.a.48837600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48837600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48837600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941623
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24418800, 'diagramx': None, 'generators': [522956313, 6405076232755200, 62768369665646, 62768533363200, 44460928512000, 6445531786543920, 6423383675043632, 6467844602419206, 6423383673907201, 22317642547221, 6423383673907777, 6423385359668874, 6467844602545848, 6467844605000310, 22318121548800, 3, 6445527244792096, 1524295, 6423383676132982, 44460928512108], 'label': '1216451004088320000.a.48837600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48837600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48837600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942256
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '71555941416960000.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': 1490748779520000, 'diagramx': None, 'generators': [1784050104146726031], 'label': '1216451004088320000.a.71555941416960000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '71555941416960000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '71555941416960000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941624
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24418800, 'diagramx': None, 'generators': [768072, 2949286, 22318121548800, 44460928512000, 31088, 518918400, 245175000, 121707873412070401, 121667418051379200, 2223884, 283112, 2226297, 1353, 22317642547201, 4037913, 4, 3312670, 8, 104, 392, 627], 'label': '1216451004088320000.a.48837600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48837600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48837600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942257
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '93573154160640000.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': 3094350336000, 'diagramx': None, 'generators': [128425485935174400], 'label': '1216451004088320000.a.93573154160640000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93573154160640000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93573154160640000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941625
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8817900, 'diagramx': None, 'generators': [872170512909696513, 622478025564595219, 608313116226816000, 493003791536256000, 38792340710323200, 866183892481641753, 282417212760909501, 40325913, 129892783231414946, 872586434309990412, 493003791862577571, 32766490047600167, 43545600, 525037884302131204, 249713497313280000, 282417212786693184, 32389960777574400, 38792340713288528, 391613172235116183, 372049049788416000, 621473557293410357, 743097815866566595], 'label': '1216451004088320000.a.52907400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942258
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '110586454917120000.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': 60949324800, 'diagramx': None, 'generators': [230299313228825], 'label': '1216451004088320000.a.110586454917120000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110586454917120000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110586454917120000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941626
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8817900, 'diagramx': None, 'generators': [122003409412684801, 378099659089152006, 256094948229120000, 378097130955399144, 256096349308800720, 174356582622, 4103606707200, 256094954496057600, 256098964657576320, 122000787836928000, 2789713065800, 122000794507071513, 256095041667495275, 122000794063964864, 2789705318400, 122002182689587303, 3, 378095742337023513, 122002102137847686, 1394852659200], 'label': '1216451004088320000.a.52907400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941627
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13226850, 'diagramx': None, 'generators': [123155638660454400, 778159683722702, 121646408083200000, 405192056645376632, 404794704221107274, 743785565402880000, 870809304843889201, 33067592, 86399943039511, 275722007175046024, 40325913, 404441544965679518, 743074364939967512, 405192056645379032, 43545600, 122712337060992512, 123090167763763215, 743074364903270400, 123090167763763200, 276808516894234353, 871812297311155200, 404418094003125518, 514052031392127512, 276454136691532804, 122024332571712750], 'label': '1216451004088320000.a.52907400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941628
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [750525406273843713, 493003791536256000, 38792340710323200, 282417212760909501, 40325913, 622833532409088019, 750941165771596812, 864742922502419395, 493003791862577571, 32766490047600167, 129536915219715746, 43545600, 525037884302131204, 729958222862668800, 249713497313280000, 282417212786693184, 32389960777574400, 38792340713288528, 391613172235116183, 621452802633083957, 744538960202371353, 372049049788416000], 'label': '1216451004088320000.a.52907400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941629
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [121645100448748800, 122000787836928000, 121646501488512000, 355687472050713, 356995102464000], 'label': '1216451004088320000.a.52907400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941630
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '116280.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': 4845, 'diagramx': None, 'generators': [2803205272624, 2709277004313], 'label': '1216451004088320000.a.116280.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116280.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942259
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1216451004088320000.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': '1216451004088320000.a.1216451004088320000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1216451004088320000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1216451004088320000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941631
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4103606707200, 122002182689587303, 355687428112064, 256095041667495275, 256452123915187920, 256094948229120000, 122002102137847686, 377740048681906713, 256453344411304320, 1394852659200, 256450635697132800, 377742663986688006, 2789713065800, 359616678220801, 122000787836928000, 355687871218713, 3, 174356582622, 378097130955399144, 2789705318400], 'label': '1216451004088320000.a.52907400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941632
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4103606707200, 122002182689587303, 377741530705594344, 122000794063964864, 256452123915187920, 122002102137847686, 377740048681906713, 122000794507071513, 256453344411304320, 1394852659200, 256450635697132800, 377742663986688006, 2789713065800, 377740054864972800, 122003409412684801, 122000787836928000, 256450816273882475, 3, 174356582622, 2789705318400], 'label': '1216451004088320000.a.52907400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941633
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [355687871218713, 378099659089152006, 377740054864972800, 256096349308800720, 359616678220801, 174356582622, 4103606707200, 256094954496057600, 256098964657576320, 122000787836928000, 2789713065800, 377741530705594344, 2789705318400, 122002182689587303, 3, 355687428112064, 378095742337023513, 256450816273882475, 122002102137847686, 1394852659200], 'label': '1216451004088320000.a.52907400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941634
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4103606707200, 122002182726279144, 378095742293084864, 122002182689587303, 121649197796265800, 256096349308800720, 122002102137847686, 377740048681906713, 256453344411304320, 1394852659200, 121645106635852803, 121645106635852800, 256450635697132800, 378099659089152006, 122000787836928000, 256454564907340801, 256450636100338713, 355868044762475, 174356582622, 2789705318400], 'label': '1216451004088320000.a.52907400._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941635
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4103606707200, 256096343081779204, 359703896837913, 378095910422632705, 121646408083200632, 256095041884548504, 256094948229120000, 256096262130508820, 2615348736000, 121645187587123200, 174356582412, 358389955126832, 256095041677977600, 122004891450576153, 378098525771380856, 122002101741628952, 122000787836928000, 377743971944517264, 256096343081780865, 174356582481, 2789705318400, 357088507787312], 'label': '1216451004088320000.a.52907400._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '52907400.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '52907400._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941666
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [34201568, 2949248, 14608, 1866225679718400, 1154857094501913, 40325913, 29439564, 406834712, 43545600, 93405312000, 19, 3, 369, 1327, 115, 34094, 711374856192000, 355693655116800], 'label': '1216451004088320000.a.70543200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941441
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [403200, 376610217984000, 6758061133824000, 128047474114560000, 22230464256000, 518918400, 840, 43545600, 5760, 93405312000, 30, 3, 6706022400, 144, 3991680, 122023112229452313, 8, 45360, 1394852659200], 'label': '1216451004088320000.a.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941442
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '9690.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': 4845, 'diagramx': None, 'generators': [1394852659200, 122000787836928000, 1314424345113, 256094948229120000, 128047474114560000], 'label': '1216451004088320000.a.9690.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9690.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9690.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941443
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '3527160.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': 3527160, 'diagramx': None, 'generators': [378011341618713, 378011337580800, 122734573877289737, 1778437184434713, 756010141286400, 733698725760000], 'label': '1216451004088320000.a.3527160.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3527160.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3527160.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941444
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '3695120.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': 1847560, 'diagramx': None, 'generators': [26071296912623019, 12972960038, 2594787113344225, 274467917203, 716711413038541, 93405348012, 362319724166400, 518918503, 2533146313453388, 100630252964, 131117107978928, 47437370250791641, 15, 518918995, 404083833990691, 3, 6538850862869, 25673570869480801, 89], 'label': '1216451004088320000.a.3695120.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3695120.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3695120.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941445
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '3779100.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': 3779100, 'diagramx': None, 'generators': [1859880, 122419417991270400, 4, 1640, 22181985, 7, 631, 33449, 369867183, 648505801828684800, 29439515, 40325913, 16, 32709160, 525415715016192000, 16039, 43545600, 3312129, 499782688281676800, 24405351, 149054042340403200, 25], 'label': '1216451004088320000.a.3779100.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3779100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3779100.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941446
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '4408950.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': 4408950, 'diagramx': None, 'generators': [36334233, 122440340821075200, 10928, 4, 21418, 371694670034688000, 6402379932748800, 493359391786060800, 2586395, 33063656, 40237320886963200, 40325913, 239563250, 884619566666035200, 36422, 20413464, 525, 43545600, 1800754783027200, 493338462769152000, 103, 23, 3109, 8, 32654, 615026716432128000, 6321], 'label': '1216451004088320000.a.4408950.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4408950.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4408950.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941447
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '4618900.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': 4618900, 'diagramx': None, 'generators': [127684874649825609, 378011820211200, 3757793813262720, 46233], 'label': '1216451004088320000.a.4618900.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4618900.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4618900.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941448
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 775200, 'diagramx': None, 'generators': [20929539865113, 20929016908800, 22230464256000], 'label': '1216451004088320000.a.4651200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4651200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4651200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941667
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [93405312000, 4103606707200, 2789705318400, 13161742554245913, 6403681423641600, 357088507776000, 12804747411456000], 'label': '1216451004088320000.a.70543200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941672
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [6578072, 121649116837248000, 121670127140913216, 792512, 421251730099201, 421251774053913, 21139224, 228717089, 510, 3512, 1447769881958400, 40325913, 21096, 43545600, 2949270, 3, 1089379926835200, 23, 21291, 1455, 11194, 83784564864000], 'label': '1216451004088320000.a.70543200._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941673
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [6578072, 83784564864000, 21139224, 21291, 1455, 510, 1447769881958400, 228717089, 43545600, 3512, 792512, 23, 1152235810276416, 1089379926835200, 122798475472383513, 40325913, 2949270, 1782360163584000, 122798475428428801, 3, 11194, 21096], 'label': '1216451004088320000.a.70543200._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '70543200.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '70543200._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941674
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 38798760, 'diagramx': None, 'generators': [122001143256115230, 243290300931250918, 243290200817664082, 256094948229120000, 128047493793545484, 12804747411456107, 378095737024051319, 243290388147497615, 122002444703462699, 122001056557033096, 128047474114560000, 256094948229120012, 6538411785744, 122000787836928000, 378096003827945488, 128047823346643415, 134451249418886400, 5599091510437, 256094948229120003, 256095303209222474], 'label': '1216451004088320000.a.77597520._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '77597520.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77597520._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941675
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 155040, 'diagramx': None, 'generators': [355774606387200, 93928268313, 121666994134963225, 376610217984000], 'label': '1216451004088320000.a.155040._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '155040.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '155040._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941676
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 38798760, 'diagramx': None, 'generators': [122001143256115230, 243290300931250918, 243290200817664082, 256094948229120000, 128047493793545484, 12804747411456107, 378095737024051319, 243290388147497615, 122002444703462699, 122001056557033096, 128047474114560000, 256094948229120012, 6538411785744, 122000787836928000, 378096003827945488, 128047823346643415, 12806149010463513, 5599091510437, 256094948229120003, 256095303209222474], 'label': '1216451004088320000.a.77597520._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '77597520.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77597520._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941677
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 38798760, 'diagramx': None, 'generators': [122001143256115230, 243290300931250918, 243290200817664082, 256094948229120000, 128047493793545484, 12804747411456107, 249692574523801113, 378095737024051319, 243290388147497615, 122002444703462699, 122001056557033096, 128047474114560000, 256094948229120012, 6538411785744, 122000787836928000, 378096003827945488, 128047823346643415, 5599091510437, 256094948229120003, 256095303209222474], 'label': '1216451004088320000.a.77597520._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '77597520.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77597520._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941678
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77597520, 'diagramx': None, 'generators': [372049049788416000, 93927899520, 141228831744000000, 181106150400, 121645536862873839, 187848460800, 46233], 'label': '1216451004088320000.a.77597520._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '77597520.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '77597520._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941679
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '78140160.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': 9767520, 'diagramx': None, 'generators': [1464595292160059, 754615288627207, 518918400, 421071146527391, 754615288754309, 754615288627216, 754615288631671, 83871513, 754615288627200, 754615288627591, 754615288627203, 1069764814134803, 4037913, 1069764811315478], 'label': '1216451004088320000.a.78140160.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '78140160.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '78140160.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941680
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13226850, 'diagramx': None, 'generators': [16, 225, 32022638, 494447457811507200, 327001104, 43545600, 103, 25810979, 36697111, 281771227850112000, 7344, 2310, 40325913, 4479, 123466690843372800, 787104, 395, 123466690803456005, 299, 3, 13160615423155200, 641350201459968000, 493359566142643200], 'label': '1216451004088320000.a.79361100._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '79361100.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '79361100._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941681
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [134449934998906928, 256094948229120000, 256096430260071960, 2621575756801, 6406390134144000, 243647202147148814, 371697465967027305, 134451161721676920, 256099051835842440, 256096262130544929, 1313901388800, 6403687643768528, 134449847860204800, 4016428416002, 2789705318400, 122004804265415433, 6405163411046912, 378095736066048000, 256099052239033113, 134449847820288024, 371693362404274713, 2622018879513, 4103606738288], 'label': '1216451004088320000.a.79361100._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '79361100.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '79361100._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941682
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [155457729947520005, 16, 225, 155457642769228800, 32022638, 494447457811507200, 327001104, 43545600, 103, 25810979, 36697111, 281771227850112000, 7344, 2310, 155457729987436800, 40325913, 4479, 787104, 395, 299, 3, 13160615423155200, 493359566142643200], 'label': '1216451004088320000.a.79361100._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '79361100.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '79361100._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941683
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [2310, 36697111, 494447457811507200, 4479, 327001104, 299, 7344, 40325913, 395, 25810979, 32022638, 16, 225, 123466690803456005, 43545600, 155457642769228800, 787104, 281771227850112000, 103, 3, 123466690843372800, 493359566142643200, 13160615423155200], 'label': '1216451004088320000.a.79361100._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '79361100.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '79361100._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941684
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [16, 225, 32022638, 494447457811507200, 327001104, 43545600, 103, 25810979, 36697111, 737383366053734405, 281771227850112000, 7344, 2310, 737383366093651200, 40325913, 4479, 787104, 395, 299, 3, 13160615423155200, 641350201459968000, 493359566142643200], 'label': '1216451004088320000.a.79361100._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '79361100.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '79361100._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941685
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [155457642769228800, 281771227850112000, 494447457811507200, 737383278875443200, 493359566142643200, 13160615423155200, 43545600, 40325913], 'label': '1216451004088320000.a.79361100._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '79361100.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '79361100._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941686
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '167960.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': 167960, 'diagramx': None, 'generators': [378011776665600, 3991680, 121645100412460800, 128047474114560000, 46233], 'label': '1216451004088320000.a.167960.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '167960.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '167960.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941687
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [2310, 36697111, 494447457811507200, 4479, 327001104, 299, 737383278875443200, 7344, 40325913, 395, 25810979, 32022638, 16, 225, 123466690803456005, 43545600, 787104, 281771227850112000, 103, 3, 123466690843372800, 493359566142643200, 13160615423155200], 'label': '1216451004088320000.a.79361100._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '79361100.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '79361100._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941688
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '83140200.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': 83140200, 'diagramx': None, 'generators': [22324392155520, 6527911882408635, 44648776972800, 43247182003200, 46233], 'label': '1216451004088320000.a.83140200.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '83140200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '83140200.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941689
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7054320, 'diagramx': None, 'generators': [2708754048011, 83784564864000, 11, 81, 2708755586271, 318, 114395, 93405719819, 4010201608592, 628, 174496113228, 4010204619017, 2708754057105, 2154, 66784813777067, 41, 174363888300, 4, 2789719887074], 'label': '1216451004088320000.a.84651840._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941690
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14108640, 'diagramx': None, 'generators': [22324352198400, 4037913, 44647739136000, 43247138457600], 'label': '1216451004088320000.a.84651840._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941691
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [243290468581587769, 12804835068749424, 256095210279139715, 256094948229120000, 371338995539805393, 365290988654592020, 122000875494220804, 128047655177164807, 134805709604968131, 128047474114560000, 122000800290969615, 365291169717196800, 122000787836928000, 243290200817664052, 128052966829545520, 128051491021979047, 256100266608004570], 'label': '1216451004088320000.a.84651840._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941692
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [8, 85179417837422, 1313901389169, 309332, 1313901388919, 4, 32183232, 1069683860075913, 26519, 2703422, 1842600487525809, 94, 795159422715637, 11019, 107, 401456033518290, 24845813145304, 323555], 'label': '1216451004088320000.a.84651840._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941694
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [36334233, 243375374008166401, 4, 243336150004178187, 128047474154885913, 243373979155507833, 128047474114560015, 22404820838400, 3632, 128047474114560000, 243290200817686544, 243290200820976152, 31645, 128047474412592999, 657, 128132647305062912, 243375374052121113, 43545600, 128047474116426384, 243290200817664081, 2789705318400, 128047474114598849, 243290200817698624, 2223505], 'label': '1216451004088320000.a.84651840._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941695
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [12454068389, 65651959354720, 181062606154, 262013877893, 181062607839, 68005294182603, 639, 12, 5230697476150, 6706022403, 43340543774642, 5498478947001, 6423389917276036, 267761894411, 186810629075, 396, 68273058401971, 4], 'label': '1216451004088320000.a.84651840._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941696
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [12454068389, 65651959354720, 181062606154, 262013877893, 181062607839, 6407697824900356, 68005294182603, 639, 12, 5230697476150, 43340543774642, 6706022403, 5498478947001, 267761894411, 186810629075, 396, 68273058401971, 4], 'label': '1216451004088320000.a.84651840._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941697
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 92378, 'diagramx': None, 'generators': [291600, 4, 174875500800, 256850971782451200, 2259661307904000, 277201, 818224, 16, 1284254859347712000, 958003200, 601, 6423296495616000, 65571526944000, 6706022400, 1744, 41040, 495664, 34, 2709272966400, 19160064000, 1488776889600, 34560, 141608245079347200, 20], 'label': '1216451004088320000.a.184756._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '184756.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '184756._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941698
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [249714979344230401, 36334233, 4, 249755349120077433, 243336150004178187, 128047474154885913, 128047474114560015, 22404820838400, 3632, 128047474114560000, 6424778526566912, 243290200817686544, 249714979388185113, 243290200820976152, 31645, 128047474412592999, 657, 43545600, 128047474116426384, 243290200817664081, 2789705318400, 128047474114598849, 243290200817698624, 2223505], 'label': '1216451004088320000.a.84651840._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941699
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [6403681380096000, 6758061133824000, 12806148970137600, 4037913, 13160434843180800], 'label': '1216451004088320000.a.84651840._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941700
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [6424872410880000, 3724, 128069972823340800, 55, 243290200821655680, 1140784, 128156104492416000, 128047474114606233, 128047474114560000, 243290200817667117, 243400232754201600, 128047474114560526, 3523, 128047474114575318, 41, 3, 128047474114560007], 'label': '1216451004088320000.a.84651840._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '84651840.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '84651840._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941701
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '88682880.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': 22170720, 'diagramx': None, 'generators': [243290307195956302, 128047474633478404, 1229102, 128047474114560004, 26172168579216, 243290208042604871, 243290375174248710, 128047474114560000, 243290200817664020, 18720979223, 128047487526607824, 243292910090666296, 243290200817667728, 128047823346643477, 243290200817911099, 243290213271705620], 'label': '1216451004088320000.a.88682880.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '88682880.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '88682880.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941702
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '90698400.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': 30232800, 'diagramx': None, 'generators': [36334233, 59, 891439181900467200, 2112, 255, 2949784, 43545600, 268966387033344000, 31209, 328522089, 26, 3312033, 40325913, 15, 17137233, 4, 10935, 864341373063168000, 385565346412646400], 'label': '1216451004088320000.a.90698400.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '90698400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '90698400.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941703
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23279256, 'diagramx': None, 'generators': [250048281111568083, 493338475223204920, 13181538692044819, 376610217984285, 6266938000, 249713591237510530, 13412044812, 7225224299, 13412044804, 121645362903258691, 958003200, 493715085441217952, 12804834629666084, 6706022420, 6706048969, 711375816414181, 12457348591, 499385516480928133, 20], 'label': '1216451004088320000.a.93117024._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93117024.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93117024._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941704
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46558512, 'diagramx': None, 'generators': [250048281111568083, 493338475223204920, 13181538692044819, 376610217984285, 6266938000, 249713591237510530, 13412044812, 7225224299, 13412044804, 87178654080, 958003200, 493715085441217952, 12804834629666084, 6706022420, 6706048969, 711375816414181, 12457348591, 499385516480928133, 20], 'label': '1216451004088320000.a.93117024._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93117024.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93117024._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941705
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46558512, 'diagramx': None, 'generators': [16, 20316122905604423, 1575915350408, 51575997202329600, 106009800019204, 128425485934045320, 405239139628732820, 126003, 12972960000, 106202797747208, 4, 812164, 5764, 90810, 958003203], 'label': '1216451004088320000.a.93117024._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93117024.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93117024._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941706
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '93532725.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': 93532725, 'diagramx': None, 'generators': [256094948229151858, 256094948229151113, 256094948229120000, 112126291200, 122008815471916800, 122000787836929206, 3632, 378106948887091200, 35529, 256099246909228800, 122008727811358080, 122000787836928000, 256104189650897280, 256107562652759193, 378098881234099200, 256095384643123200, 371704575181369113, 378095736066062552, 122000787836946594, 122009954055454080, 122000787836964033], 'label': '1216451004088320000.a.93532725.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93532725.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93532725.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941707
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 47028800, 'diagramx': None, 'generators': [22237170278400, 243290207523686400, 6706022400, 121645113341875200, 776888308343347200, 3991680, 1320607411200, 892084992454656000, 46233], 'label': '1216451004088320000.a.94057600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '94057600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '94057600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941708
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 92378, 'diagramx': None, 'generators': [291600, 4, 174875500800, 256850971782451200, 2259661307904000, 277201, 818224, 128425485934408320, 16, 958003200, 601, 6423296495616000, 65571526944000, 6706022400, 1744, 41040, 495664, 34, 2709272966400, 19160064000, 1488776889600, 34560, 141608245079347200, 20], 'label': '1216451004088320000.a.184756._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '184756.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '184756._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941709
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 47028800, 'diagramx': None, 'generators': [81, 22237170278400, 1640, 892084992454656000, 1140784, 391613178465734400, 243290207523686400, 12, 3991680, 6706022400, 16313, 46233, 1320607411200, 121645113341875200, 391613178462105601, 20164, 4, 3753, 31110, 392], 'label': '1216451004088320000.a.94057600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '94057600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '94057600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941710
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 47028800, 'diagramx': None, 'generators': [81, 22237170278400, 1640, 892084992454656000, 391699740281875200, 1140784, 243290207523686400, 12, 3991680, 6706022400, 16313, 46233, 1320607411200, 121645113341875200, 391699740278246401, 20164, 4, 3753, 31110, 392], 'label': '1216451004088320000.a.94057600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '94057600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '94057600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941711
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [21009968179259, 65470896692865, 21009968179200, 44460931747776, 44460928512086, 65470896691203, 260, 45, 44461012383513, 44460932549913, 44460928512609, 21009968195143, 65470896691212, 21009968442831, 65470896691200, 21010487097600], 'label': '1216451004088320000.a.97675200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '97675200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '97675200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941712
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [20927972615880, 87657292800, 522956313], 'label': '1216451004088320000.a.97675200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '97675200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '97675200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941713
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [6402460884019200, 6402460888057113, 6402461402937600, 21009968179200], 'label': '1216451004088320000.a.97675200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '97675200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '97675200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941717
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24418800, 'diagramx': None, 'generators': [6402461327504805, 522956313, 6423384152908800, 6402460884019200, 20922789888006, 20922789973680, 6423383674678322, 20922790250880, 200, 20922789893040, 6402460884019281, 20922789892473, 84968, 6423383673907202, 6423383673907201, 20922913681644, 6423389465881113, 6423384118169859, 20928062534406, 6423383673910952, 6423383673907712, 6402460884106313, 20922789892448, 20923233010713], 'label': '1216451004088320000.a.97675200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '97675200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '97675200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941718
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '99768240.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': 99768240, 'diagramx': None, 'generators': [87178296240, 499761759264768000, 121645549360719017, 87178297113, 376610217984000, 93928222080, 174879492480], 'label': '1216451004088320000.a.99768240.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '99768240.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '99768240.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941719
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 92378, 'diagramx': None, 'generators': [291600, 4, 174875500800, 256850971782451200, 2259661307904000, 277201, 818224, 16, 958003200, 601, 6423296495616000, 65571526944000, 2379060763027609113, 6706022400, 1744, 41040, 495664, 34, 2709272966400, 19160064000, 1488776889600, 34560, 141608245079347200, 20], 'label': '1216451004088320000.a.184756._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '184756.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '184756._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941720
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8817900, 'diagramx': None, 'generators': [12806235709753113, 243291595670323200, 243292909941579183, 243290375174272475, 256094948229120000, 12807362767132953, 128047567519872008, 12808757612872172, 12806235669438005, 1313901388800, 128047567519872003, 243294130067788903, 43545600, 378098525771366795, 250050877302450416, 243291595670323485, 134806930101046235, 128051484351965185, 256097737934474917, 2789705318400, 122004891446946633, 6761990387260951, 128050089463322046, 122004891443635200], 'label': '1216451004088320000.a.105814800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941721
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8817900, 'diagramx': None, 'generators': [4103650252800, 1488257997246, 256096436494032153, 256094948229120000, 4010201395203, 122003577542246795, 122002276097125616, 4010201395208, 1313901388800, 256097563577866805, 3929250150875, 3929250124903, 256096262130545317, 256097563618181913, 1395222526383, 256095041634452972, 2789705318400, 378095736066048000, 122004891446946633, 256096343081779485, 2615348736000, 4010237405185, 256097656983171035, 378095910425942551], 'label': '1216451004088320000.a.105814800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941722
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [378098357685759513, 4103606707200, 378097137145732473, 122004717087088107, 1313901388800, 256099045609128987, 2615348736000, 378098357681721600, 378099752494464005, 256095128812723224, 378095742293069433, 378097043740416001, 122000787836928000, 256098871252224021, 378095742329765913], 'label': '1216451004088320000.a.105814800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941723
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [122004804298423113, 122000968420557662, 122004710860058580, 122003403185671926, 122003583769267206, 122000787836964033, 36707913, 122004717087052800, 2789705334631, 122004804265344633, 4103606707200, 122004885216942926, 122002095540990555, 122000968460448000, 122004885216640470, 2795965413993, 1313901388800, 122000968464485913, 4010201395200, 93808517913, 93764926080, 122003409412684854, 1401079680390, 122000794063949520, 2622018879513, 122004804265344005, 122004710860032001], 'label': '1216451004088320000.a.105814800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941724
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4010201395200, 4103606707200, 1313901388800, 121645280992435200, 122003496634521600, 359703896837913, 359703856512000], 'label': '1216451004088320000.a.105814800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941725
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4103650252800, 1488257997246, 134451248899971035, 243648684180325616, 134449854047329772, 243645975424051200, 4010201395203, 134452550347315485, 4010201395208, 1313901388800, 134452643759568153, 3929250150875, 3929250124903, 1395222526383, 243647370276710795, 134451155494666805, 134452469396081317, 134451155534981913, 2789705318400, 378095736066048000, 2615348736000, 4010237405185, 243649904677487433, 378095910425942551], 'label': '1216451004088320000.a.105814800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941726
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [121647716200690713, 122003403185671926, 122000787836964033, 357001329484801, 36707913, 122004717087052800, 355861784679120, 2789705334631, 357175686067205, 4103606707200, 357082281083726, 357001329511380, 355687472050713, 1313901388800, 121649204015539590, 357175686067833, 357175719146313, 357082280781270, 4010201395200, 93808517913, 93764926080, 358396182144006, 355687428122462, 355687468012800, 121647809195954793, 358302776832054, 359616707915355], 'label': '1216451004088320000.a.105814800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941727
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4103606707200, 122004717087088107, 1313901388800, 377741443490611221, 377740142043264001, 2615348736000, 377740048681906713, 256452030509875224, 377741362539340805, 377742664023385113, 122000787836928000, 256453251005952633, 256453251006274587, 256450810013802873, 377740048677868800], 'label': '1216451004088320000.a.105814800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941728
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [122754101678208000, 1498112, 25458721, 36721757, 632, 121710571349477913, 121710571305523201, 40325913, 4472, 1803463537075200, 406834712, 43545600, 14930276, 123490322487279814, 711549212774400, 3, 1843914264192000, 29460534, 25, 31180, 36713152, 20], 'label': '1216451004088320000.a.105814800._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941729
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [711549212774400, 1843914264192000, 43545600, 40325913, 1447769881958400, 122754101678208000, 1803463537075200], 'label': '1216451004088320000.a.105814800._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941730
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '186048.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': 93024, 'diagramx': None, 'generators': [93405312000, 134470770610176000, 262518244724736000, 522956313], 'label': '1216451004088320000.a.186048.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941731
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [19583731338796800, 12825764085657600, 13516122267648000, 13181357633477913, 711374856192000, 6779071102003200, 19939418763264000], 'label': '1216451004088320000.a.105814800._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941732
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [122754101678208000, 1498112, 25458721, 36721757, 632, 40325913, 123070639870489113, 4472, 1803463537075200, 123070639826534401, 406834712, 43545600, 14930276, 123490322487279814, 711549212774400, 3, 1843914264192000, 29460534, 25, 31180, 36713152, 20], 'label': '1216451004088320000.a.105814800._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941733
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [121710571305523201, 123466871387059200, 406834712, 31180, 121710571349477913, 711549212774400, 14930276, 43545600, 4472, 1843914264192000, 1498112, 1803463537075200, 40325913, 29460534, 25458721, 36721757, 20, 36713152, 3, 122398327211708614, 632, 25], 'label': '1216451004088320000.a.105814800._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941734
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [123466871387059200, 406834712, 31180, 123070639870489113, 711549212774400, 14930276, 43545600, 4472, 1843914264192000, 123070639826534401, 1498112, 1803463537075200, 40325913, 29460534, 25458721, 36721757, 20, 36713152, 3, 122398327211708614, 632, 25], 'label': '1216451004088320000.a.105814800._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941735
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [406834712, 31180, 123070639870489113, 711549212774400, 1447769881958400, 14930276, 43545600, 4472, 1843914264192000, 123070639826534401, 65471036579014, 1498112, 1803463537075200, 40325913, 29460534, 25458721, 36721757, 20, 36713152, 3, 632, 25], 'label': '1216451004088320000.a.105814800._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941738
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [122004804298423113, 121647716200690713, 122000968420557662, 122004710860058580, 122003583769267206, 359703856512000, 36707913, 355868011735233, 2789705334631, 122004804265344633, 4103606707200, 122004885216942926, 122002095540990555, 122000968460448000, 122004885216640470, 1313901388800, 122000968464485913, 358309003860726, 121649204015539590, 4010201395200, 93808517913, 93764926080, 122003409412684854, 121647809195954793, 122000794063949520, 122004804265344005, 122004710860032001], 'label': '1216451004088320000.a.105814800._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941739
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [36726, 1864944, 1445154533222400, 56, 4446, 1800848188339200, 103, 43545600, 400154583628800, 12, 1800761054002713, 177, 1496880, 40325913, 26585, 1821683799936000, 4, 444, 36697112], 'label': '1216451004088320000.a.105814800._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941740
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [3991680, 2160465345561600, 39859322522342400, 46233, 4016907417600, 26030565969408000, 32433026853427200, 1804777438464000, 64076044032000, 87657292800], 'label': '1216451004088320000.a.105814800._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941741
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232560, 'diagramx': None, 'generators': [6780291598080000, 6402379932748800, 12826977875712000, 6402380455705113], 'label': '1216451004088320000.a.232560._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941742
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [634924383020928000, 4, 388734900, 59, 32672, 3312152, 6940953, 123090254942054401, 40325913, 43545600, 123090254981971200, 2223776, 283171653692928000, 244779816279398400, 28759928, 743074364903270400, 4252, 635, 15, 3549, 28710], 'label': '1216451004088320000.a.105814800._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941743
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [12804747411456081, 6406477312435214, 6760763668559315, 3923023104002, 4103606707200, 13161748741026480, 358389991819586, 12804747411456000, 12808851018179265, 355868011699200, 13163224987993113, 1401079680264, 4103606712320, 2789705318400, 6406477312475520, 12808670434560001, 355687468012800, 13160434883506713, 6403687607116920, 6758241717508352, 6405076632286208, 12808851018166953, 12807449949779481], 'label': '1216451004088320000.a.105814800._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941744
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [763748609483059203, 493401318317107238, 256809112790632057, 743074364903270400, 161526733867699200, 123134628692275219, 858296175043507200, 43545600, 161565870693427444, 640237463978149651, 392327162440012800, 396947344118296472, 40325913, 763683312945899552, 493384411955635618, 123134628692275200, 526460727420593792, 392345463654169950, 378098525771366407], 'label': '1216451004088320000.a.105814800._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '105814800.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '105814800._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941745
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27713400, 'diagramx': None, 'generators': [243290201380128000, 286446639211, 8108060150902, 25390718364, 128047474194393604, 24951629300, 243290481113437871, 100630291161, 243290662096219926, 518918500, 128047474114560000, 19, 3, 13491878674, 64264331582408, 243290201855501321], 'label': '1216451004088320000.a.110853600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110853600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110853600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941746
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55426800, 'diagramx': None, 'generators': [128047474114560056, 263015427010, 256094948229120000, 6758061133824007, 122007339185357130, 122000788319558473, 250048262434122132, 6760782824561484, 1476921604, 134806842922792320, 128047474114560000, 378095736145881600, 6763666454092926, 243290376212086940, 243290200817664004, 378095736066048000, 12454041904, 6758062574457922, 378103857062988888], 'label': '1216451004088320000.a.110853600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110853600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110853600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941747
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55426800, 'diagramx': None, 'generators': [128047474114560056, 263015427010, 256094948229120000, 6758061133824007, 122007339185357130, 122000788319558473, 250048262434122132, 6760782824561484, 1476921604, 128047474114560000, 378095736145881600, 6763666454092926, 243290376212086940, 13160434839592320, 243290200817664004, 378095736066048000, 12454041904, 6758062574457922, 378103857062988888], 'label': '1216451004088320000.a.110853600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110853600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110853600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941748
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55426800, 'diagramx': None, 'generators': [128047474114560056, 263015427010, 256094948229120000, 6758061133824007, 122007339185357130, 122000788319558473, 250048262434122132, 6760782824561484, 1476921604, 128047474114560000, 378095736145881600, 6763666454092926, 243290376212086940, 121646408083200000, 243290200817664004, 378095736066048000, 12454041904, 6758062574457922, 378103857062988888], 'label': '1216451004088320000.a.110853600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '110853600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '110853600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941749
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58198140, 'diagramx': None, 'generators': [121645108156336853, 268899695640576000, 6749935920, 12976951680, 6749936793, 628166228481792000, 13499136000, 31135109913], 'label': '1216451004088320000.a.116396280._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116396280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116396280._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941750
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58198140, 'diagramx': None, 'generators': [86399918317456, 14560859, 12807456209417627, 4103738150403, 26051575937632576, 26052970790246419, 1089473492217600, 80640, 366758373866533067, 85179417891123, 199584153, 43333837792579, 43240432515840, 463311513, 174356582420, 174357353610, 1174320, 1488259064887, 806415, 20], 'label': '1216451004088320000.a.116396280._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116396280.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116396280._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941751
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58198140, 'diagramx': None, 'generators': [86399918317456, 14560859, 12807456209417627, 4103738150403, 26051575937632576, 26052970790246419, 1089473492217600, 80640, 366758373866533067, 85179417891123, 199584153, 43333837792579, 43240432515840, 174356582420, 174357353610, 121645100803201832, 1174320, 1488259064887, 806415, 20], 'label': '1216451004088320000.a.116396280._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116396280.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116396280._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941752
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232560, 'diagramx': None, 'generators': [22888, 4, 122002101738316800, 203621064, 1820280, 63, 5794518493, 6270975513, 323372280, 294460, 63272165904, 19, 189, 2918234639, 6706022400, 372049049788416000, 3577, 5958051505, 505830676006656000], 'label': '1216451004088320000.a.232560._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941753
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [256094948232140705, 107, 122000801248972800, 256094948229120000, 15984, 378097137665055513, 378095736066084517, 6403775304326400, 122000787836928003, 378095736066416793, 378095736066069422, 378095736068549767, 122000787836928000, 256094948229196473, 122000787836928609, 256094948231777823, 378095736066048023, 256094948229523200, 378095736066048012, 122003678172499200], 'label': '1216451004088320000.a.116396280._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116396280.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116396280._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941754
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40310400, 'diagramx': None, 'generators': [123805652939130473, 852291159990213000, 81, 38, 55, 2229425, 1565, 826, 32032978131007560, 19, 299, 1133853311330046, 389860, 34053, 902392, 4, 858276566636611224], 'label': '1216451004088320000.a.120931200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '120931200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120931200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941755
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120931200, 'diagramx': None, 'generators': [6423383713824000, 4545, 43545600, 3307113, 3727, 506, 7534825935436800, 409810042, 6940953, 40325913, 19, 395, 3, 19209742692940800, 3753, 26075, 104], 'label': '1216451004088320000.a.120931200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '120931200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '120931200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941756
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31177575, 'diagramx': None, 'generators': [43545615, 737009377415500156, 283566752055809179, 23625396749303, 494053847867029764, 93448857615, 2615348736000, 43545600, 1488301516807, 127370880, 121645100408859661, 1071159791371417, 1488139785175700, 878949584091557779, 715304190142083, 87091200, 123379204, 44460932503703, 43159604544089], 'label': '1216451004088320000.a.124710300._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124710300.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124710300._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941757
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62355150, 'diagramx': None, 'generators': [93448857615, 23625396749303, 44460932503703, 1071159791371417, 715304190142083, 1488301516807, 283566752055809179, 127370880, 43545615, 494053847867029764, 43545600, 43159604544089, 737009377415500156, 123379204, 43914393, 87091200, 2615348736000, 878949584091557779, 1488139785175700], 'label': '1216451004088320000.a.124710300._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124710300.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124710300._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941758
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62355150, 'diagramx': None, 'generators': [122000788842468480, 12808758135761280, 128047474118551680, 6762077562602880, 128047474114560000, 128047492839530880, 523069747200, 243298142185190400, 122000787836928369, 371337674932224003, 378095736066052320, 6758061133824059, 134805535248384019, 122000787836928000, 371337674932255113, 134805535248384081, 371337674932255176, 12804747531569280, 122000787836943961, 378095736066063873, 122012000657971200, 378095736066048000, 12804748892369280, 128055414088990080], 'label': '1216451004088320000.a.124710300._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124710300.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124710300._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941759
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 124710300, 'diagramx': None, 'generators': [357089030686080, 6403681380096000, 6758061133824000, 11212821043200], 'label': '1216451004088320000.a.124710300._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124710300.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124710300._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941760
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [1307677996800, 256094948229120000, 31612, 378095736066048015, 378095736066064288, 256100453394508800, 1394852659200, 122000787836928004, 256094948229131286, 3991680, 256094948230260784, 378095736066048081, 46233, 395, 378095736066048000, 122000787836965647, 688, 632], 'label': '1216451004088320000.a.126977760._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126977760.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126977760._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941761
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [122002189395609600, 122000787836928000, 356995102464000, 121645100412460800, 4037913], 'label': '1216451004088320000.a.126977760._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126977760.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126977760._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941762
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [5045, 121646408083200000, 256094948229120000, 39050, 122000787836929231, 256094948229120020, 122006106191692800, 13503, 122000787836928635, 391, 256094948229120056, 46233, 771993, 256096256382489600, 122000787836928004, 256094948229138131, 378095736070039680, 378095736066048000], 'label': '1216451004088320000.a.126977760._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126977760.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126977760._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941763
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232560, 'diagramx': None, 'generators': [13160434844996120, 19939431696392887, 19207121117228073, 19207159384341872, 93928268313, 19207146600162700, 13516122267648000, 19939444229942224, 19207121125132952, 6779071102003200, 19207872543283353, 6780204902822553, 19207183913571896, 13160435249940761, 19939418763264000, 19208168179160703, 19207121117184001, 13516122267648081, 359537, 328472, 19207134050312881, 13160435264965865], 'label': '1216451004088320000.a.232560._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941764
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [249692574527020800, 378095736070039680, 1640, 378095736066048023, 256094948229120000, 378095736066084052, 122000787836928003, 410, 378101066874854400, 46233, 378095736066048000, 1488257971200, 2247000, 77], 'label': '1216451004088320000.a.126977760._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126977760.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126977760._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941765
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [256094948229124271, 249692574527020800, 256094948229120000, 256094948229120392, 10176, 628, 256096343081779200, 3991680, 256094948229146072, 256094948229127610, 4022655436800, 46233, 256094948229160277, 256094948229120019, 3, 364936608900864000, 20164, 2247000, 2306], 'label': '1216451004088320000.a.126977760._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126977760.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126977760._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941766
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [256094948229124271, 256094948229120000, 256094948229120392, 10176, 628, 256096343081779200, 3991680, 256094948229146072, 364935301230124800, 256094948229127610, 4022655436800, 46233, 256094948229160277, 256094948229120019, 3, 364936608900864000, 20164, 2247000, 2306], 'label': '1216451004088320000.a.126977760._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126977760.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126977760._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941767
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [256094948229124271, 256094948229120000, 256094948229120392, 10176, 249693882197760000, 628, 256096343081779200, 3991680, 256094948229146072, 364935301230124800, 256094948229127610, 4022655436800, 46233, 256094948229160277, 256094948229120019, 3, 20164, 2247000, 2306], 'label': '1216451004088320000.a.126977760._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126977760.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126977760._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941768
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [249692574527020800, 256094948229120000, 256094948229124141, 365290988654592015, 128047474114588959, 122000787836928003, 6759381741235200, 12810245870822400, 128047474114560000, 134455084744780800, 122000787836928000, 122000787836974233, 134805535249524784, 371337674932224826, 365290988654602372, 365290988654592395, 128047474118551680], 'label': '1216451004088320000.a.126977760._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126977760.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126977760._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941769
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [36334233, 3010, 36535, 1954, 6486152449996874, 3312147, 86399913600000, 632, 16857, 87620409676800, 1855719, 35244, 59, 82, 40325913, 1493187, 391, 11190, 16, 43545600, 6424778976946787, 3, 11, 431603015], 'label': '1216451004088320000.a.126977760._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '126977760.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '126977760._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941770
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2713200, 'diagramx': None, 'generators': [1394852659200, 518918400, 4037913], 'label': '1216451004088320000.a.130233600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '130233600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '130233600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941771
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 10852800, 'diagramx': None, 'generators': [640279216152864154, 640279216152576099, 518918400, 2366, 124197424, 48, 640279216154801084, 263608845147648012, 263608845147658920, 263608845148260642, 2312183, 263608845150142129, 263608845147648000, 4037913, 640279216152576004], 'label': '1216451004088320000.a.130233600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '130233600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '130233600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941772
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22170720, 'diagramx': None, 'generators': [20922790297113, 22324388486400, 41939504006400, 20922790250880], 'label': '1216451004088320000.a.133024320._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133024320.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133024320._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941773
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66512160, 'diagramx': None, 'generators': [275304771873331200, 19228043907072000, 1001952000, 873, 1045820160, 121645101846606350, 522951120], 'label': '1216451004088320000.a.133024320._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133024320.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133024320._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941774
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '380.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': 190, 'diagramx': None, 'generators': [756023641240624, 733699248716313], 'label': '1216451004088320000.a.380.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '380.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '380.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941775
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '251940.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': 125970, 'diagramx': None, 'generators': [732384824373517, 4, 859424610846662956, 1154676466947839, 66691396083920, 3929250124811, 615008415250383849, 1089473332147248, 2615348736004, 1313901388800, 493422247579054231, 858296000704087266, 371380915687671681, 615005974432054553, 93405312000, 1089380362383719, 1447688930688100, 86, 1313901388820, 871123153364565417, 19963137489202164], 'label': '1216451004088320000.a.251940.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '251940.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '251940.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941776
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66512160, 'diagramx': None, 'generators': [493695465659746560, 403220, 121645155965395838, 16, 7469436037957034, 3991699, 6227021520, 733605324117139, 398840802030724, 23, 19604656524418973, 7115056287494804, 19604654248435621, 356995273783953, 3, 753246342014159, 128069706026707226, 22230464981776], 'label': '1216451004088320000.a.133024320._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133024320.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133024320._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941777
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66512160, 'diagramx': None, 'generators': [493695465659746560, 403220, 16, 7469436037957034, 53476854480, 3991699, 733605324117139, 398840802030724, 23, 19604656524418973, 7115056287494804, 19604654248435621, 356995273783953, 3, 753246342014159, 128069706026707226, 22230464981776], 'label': '1216451004088320000.a.133024320._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '133024320.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '133024320._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941780
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [12807456184060654, 4103606707200, 12804921768069510, 1313901388800, 12806142264115271, 174356582400, 6759375078758400, 6758154540645574, 6762165147365912, 12807456165504004, 12808851054866211, 12804840816768644, 12806142300812451, 6758061133824000, 6760850842091670, 4010241721113, 6760676482560015, 1314345283501], 'label': '1216451004088320000.a.141086400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941781
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [93405312000, 355774606387200, 355687472050713, 20922829804800, 376610217984000], 'label': '1216451004088320000.a.141086400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941782
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [122021797845433113, 376703623296000, 20929016908800, 121645280992435200, 732478273228800, 376610217984000], 'label': '1216451004088320000.a.141086400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941783
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [376610217984000, 121666110377017593, 121666203822240000, 21103406559513, 122356568670336005, 122377404282209730, 122356475308978713, 732478229792944, 16449, 122000875015219833, 122000968420545754, 122000794093388313, 20929016923234, 122021710626816001, 122356649621621694, 121666203782323206, 122356568707033113, 376703623296000, 122356568670336024, 20929016908800, 121666203782323305, 20929016910153, 376703623618704], 'label': '1216451004088320000.a.141086400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941784
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [859741155220147511, 419850655182000, 858294780190848286, 761968783716940820, 493715072987136000, 392388704086583672, 493401318318604953, 43545600, 268987316050252804, 493401318318236160, 40325913, 858360251087575351, 268942855121740800, 269969379500620874, 1424144565054841, 858294780190848000, 494430551450035200], 'label': '1216451004088320000.a.141086400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941785
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [31084, 6578072, 4, 632, 122756629888569600, 2949727, 32392576126310400, 11308, 40325913, 871518064351334400, 43545600, 244322503, 858294780190848000, 42, 11, 15, 32394677, 792633, 1136059, 122756629848652801, 1713], 'label': '1216451004088320000.a.141086400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941786
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 155040, 'diagramx': None, 'generators': [355774606387200, 93928268313, 376610217984000], 'label': '1216451004088320000.a.310080._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '310080.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '310080._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941787
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [1487000112998400, 43545600, 40325913, 85086012211200, 732303873100800, 776764801612800], 'label': '1216451004088320000.a.141086400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941788
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [16064191, 4, 11328785, 632, 732303873100800, 449700784, 379406194277913, 379406150323201, 3311433, 5042, 40325913, 1662, 31322926, 22185710, 21842296, 78, 43545600, 85086012211200, 174643512, 31166, 15, 776764801612800], 'label': '1216451004088320000.a.141086400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941789
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [1137030, 25350, 29076630, 122755322362180444, 510, 1425539417702400, 43545600, 12, 2388, 107, 1110221765452801, 40325913, 78, 123486486502579200, 4, 19321232, 3032, 121649029890801964, 419850650419200], 'label': '1216451004088320000.a.141086400._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941790
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [376610217984000, 121666116604032000, 121666110377017593, 121666203822240000, 711462034483224, 711462071180313, 122377404282209730, 121666197555303753, 16449, 122000875015219833, 122000968420545754, 122000794093388313, 376790801587201, 121666197555316834, 121666203782323206, 711381083228094, 376703623296000, 711462034483205, 121666023231788313, 121666203782323305, 122377398055021744, 711555483749913, 376703623618704], 'label': '1216451004088320000.a.141086400._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941791
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [20922789888006, 355861814117913, 121666023231788313, 121666197555316834, 122356568670336005, 122356475308978713, 21016195206393, 122356568707033113, 121666197555303753, 376703623296000, 376610217984000, 122356568670336024, 20922789888105, 122377398055021744, 122021710626816001, 355780833408633, 121666116604032000, 122356649621621694, 376703623618704, 355687428110554, 16449, 732472002939330, 20922829804800], 'label': '1216451004088320000.a.141086400._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941792
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [1137030, 25350, 29076630, 122755322362180444, 510, 1154682693964801, 1425539417702400, 43545600, 12, 2388, 107, 40325913, 78, 123486486502579200, 121709351041291564, 4, 19321232, 3032, 419850650419200], 'label': '1216451004088320000.a.141086400._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941793
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [243290200818804784, 128047474114560004, 128071273788057600, 4480, 243290200817710233, 45868717843200, 128071187088768000, 3991680, 128047474114560000, 243290200817672787, 243292990522982400, 243290200817664081, 20, 109938531225600, 6491389447065600, 632], 'label': '1216451004088320000.a.141086400._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941794
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [111, 385276437555609600, 21447261193881600, 7, 13504, 3991680, 3766, 128069711284838400, 21388421595340800, 1509570, 15, 22242918297600, 36181, 46233, 743745208563705600, 3, 3032, 513, 21045], 'label': '1216451004088320000.a.141086400._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '141086400.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '141086400._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941795
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 38798760, 'diagramx': None, 'generators': [371344226237259312, 181583042023, 2970767932725, 371337674932228484, 256094948229120000, 250048280672489313, 378095755226112034, 509, 122000787836928004, 371340558563397626, 243290201775670950, 122000787836928000, 371337674932227031, 12805028146317244, 128047481339503125, 243290200817664000, 134805535248384011], 'label': '1216451004088320000.a.155195040._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '155195040.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '155195040._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941796
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77597520, 'diagramx': None, 'generators': [13181357629440004, 12972960141, 19939693750119838, 13181359149923620, 79834161, 13516123225652766, 13516148616378792, 13181376869630714, 384519468975697774, 13516141427714849, 376610217984000, 121645363460720370, 19562808545280073, 6758081295550602, 20, 4, 19562808545280151], 'label': '1216451004088320000.a.155195040._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '155195040.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '155195040._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941797
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 155040, 'diagramx': None, 'generators': [122377398054912000, 711468261504000, 522956313, 376610217984000], 'label': '1216451004088320000.a.310080._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '310080.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '310080._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941798
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77597520, 'diagramx': None, 'generators': [13181357629440004, 12972960141, 19939693750119838, 13181359149923620, 79834161, 13516123225652766, 13516148616378792, 13181376869630714, 384519468975697774, 13516141427714849, 376610217984000, 19562808545280073, 121645301190512372, 6758081295550602, 20, 4, 19562808545280151], 'label': '1216451004088320000.a.155195040._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '155195040.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '155195040._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941799
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77597520, 'diagramx': None, 'generators': [13181357629440004, 12972960141, 19939693750119838, 13181359149923620, 79834161, 13516123225652766, 93927899520, 13516148616378792, 13181376869630714, 384519468975697774, 13516141427714849, 376610217984000, 19562808545280073, 6758081295550602, 20, 4, 19562808545280151], 'label': '1216451004088320000.a.155195040._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '155195040.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '155195040._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941800
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 155195040, 'diagramx': None, 'generators': [13161836438150400, 6403681380096000, 13160434839914880, 6758061133824000, 355687428505113], 'label': '1216451004088320000.a.155195040._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '155195040.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '155195040._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941801
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13226850, 'diagramx': None, 'generators': [891042956566963220, 621096947075406010, 507587063268374783, 891398637804372633, 1089298975564800, 769438394066851352, 769753543586227200, 269322080688496833, 40325913, 121666023198756653, 385565346412646400, 43545600, 269342997690821913, 122755322174284800, 268966387033344004, 891398637768038478, 621096947076572063, 507587063266514273, 621096947075409271, 121645106635852800, 20929016911831, 507566134249575032], 'label': '1216451004088320000.a.158722200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941802
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4103606707200, 378095917092773913, 378097137145768320, 15840, 2789705318640, 256095128812723202, 256094948229120000, 180627557913, 256095128852640000, 122000968420531712, 256094948229120045, 2702527027221, 122003490363955564, 378098438992606080, 122003490400647120, 378095736066048000, 122002188916608720, 256094948229120104, 2789705318400, 256098871252224001], 'label': '1216451004088320000.a.158722200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941803
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [269677936249430552, 768665384156636063, 1445154533222400, 622185106542497433, 506875514053739873, 769753543586227200, 507231369611367032, 122755322174284800, 768665384155470010, 43545600, 890014944369605913, 121666023198756653, 769397849931110420, 1089298975564800, 40325913, 121666023198723031, 769753543586227278, 768309690500352004, 506875514055600383, 768665384155473271, 768665384155504833, 385565346412646400], 'label': '1216451004088320000.a.158722200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941804
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [891398644034976000, 74, 36334233, 1497720, 30417, 1128960, 122755322174284800, 891398643995059201, 43545600, 121645106635852800, 4546, 1089298975564800, 40325913, 20, 701, 4, 96, 385565346412646400], 'label': '1216451004088320000.a.158722200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941805
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [371693362803442713, 243647202147149164, 134453951466912000, 15840, 256099051835827304, 243649991852467920, 6405163411046421, 6405076232755440, 256098871252224002, 378098438992606080, 6402373749682713, 243649991852467712, 256098871252224001, 256099051835827200, 256099051835827245, 2789705318400, 6402554289331200, 122002188953299920, 378095736066048000, 371693362360360320], 'label': '1216451004088320000.a.158722200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941806
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [371694763440022249, 122000787843143190, 6405076232755200, 6405076232759671, 243647289328383746, 122003577542246446, 256099051835853150, 256094948229120000, 256094948229121648, 134452550390860800, 4103606707200, 1313901388800, 371697285383424008, 243648590773579350, 378098525771368416, 371697285383424004, 134451248899970325, 371696064927673113, 134452550347315831, 256096262130508856, 378095736066048000], 'label': '1216451004088320000.a.158722200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941807
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [15840, 256099051835827304, 122003490400647120, 371697465967067520, 371697466410149913, 6405076232755440, 243648677951078764, 256095128812723202, 6406477356389913, 256099051835827200, 6403687607116821, 134449847860204800, 256099051835827245, 2789705318400, 256095128812723201, 6402554289331200, 378097137545258880, 243645888245760720, 378095736066048000, 243645888245760512], 'label': '1216451004088320000.a.158722200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941808
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 155040, 'diagramx': None, 'generators': [376610217984000, 75239539202, 122356475265024002, 376610217984144, 122356475265024021, 122021711029975682, 4, 122356475265386880, 711374856192068, 93928268313, 122357501761824001, 121645100416452624, 122021792101042713, 2388, 376610232907464, 122356475265024001, 122021797805107200, 122356475265074408, 10084, 15, 122356475283576280], 'label': '1216451004088320000.a.310080._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '310080.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '310080._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941809
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [622164177525588633, 768665384155504833, 621829412852937983, 1089298975564800, 889954797136206010, 768309690500352004, 1110215538432078, 121666023198756653, 40325913, 385565346412646400, 621829412851077473, 43545600, 122755322174284800, 768665384155468800, 889954797136209271, 20929016908820, 269698865266339352, 889954797137372063, 121645106635852800, 20929016911831, 507566134249575032, 768725531388869913], 'label': '1216451004088320000.a.158722200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941810
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [74, 36334233, 1497720, 30417, 1128960, 890310484564300801, 122755322174284800, 43545600, 121645106635852800, 4546, 1089298975564800, 40325913, 20, 701, 4, 96, 890310484604217600, 385565346412646400], 'label': '1216451004088320000.a.158722200._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941811
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [15840, 256099051835827304, 371697465967067520, 371697466410149913, 243648677951078764, 6406477356389913, 256098871252224002, 378098438992606080, 256099051835827200, 256098871252224001, 6403687607116821, 134449847860204800, 256099051835827245, 6403774785408240, 2789705318400, 243645888245760720, 378095736066048000, 122002188953299920, 243645888245760512, 243646068829363200], 'label': '1216451004088320000.a.158722200._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941812
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [506854585038691583, 622164177525588633, 1089298975564800, 769397849931110420, 889954797136206010, 506854585036831073, 769753543586227200, 121666023198756653, 40325913, 385565346412646400, 769753543586227278, 889954797136240833, 43545600, 122755322174284800, 507231369611367032, 889954797136209271, 269698865266339352, 890310478337280004, 889954797137372063, 123090261169075200, 121666023198723031, 768725531388869913], 'label': '1216451004088320000.a.158722200._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941813
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [121645100408832014, 359791034929920, 355687428096024, 359703856512000, 87178291320, 122004804265344002, 1482030951120, 122004804708466713, 121647721984588800, 4103606707200, 4016428744473, 1482030950401, 355687472050713, 358477133415033, 1313901388800, 121647721984594560, 121647890114150912, 122004804265344264, 359704259717913, 2789705354426, 355687464746906, 355687468012800, 121646582439823440, 122002101738319105], 'label': '1216451004088320000.a.158722200._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941814
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [243647202147149164, 134453951466912000, 15840, 243649991852467920, 256094948229120000, 371697465967067520, 371697466410149913, 6405076232755440, 256094948229120104, 6406477356389913, 256098871252224002, 243649991852467712, 256098871252224001, 6403687607116821, 2789705318400, 378097137545258880, 6402554289331200, 122002188953299920, 378095736066048000, 256094948229120045], 'label': '1216451004088320000.a.158722200._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941815
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [6406477356389913, 15840, 243647202147149164, 243649991852467920, 256095128812723202, 6403774785408000, 256094948229120000, 243649991852467712, 256094948229120045, 134453951466912000, 378098438992606080, 256095128812723201, 122003490400647120, 378095736066048000, 6403687607116821, 371697465967067520, 256094948229120104, 6403774785408240, 2789705318400, 371697466410149913], 'label': '1216451004088320000.a.158722200._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941816
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [74, 36334233, 507210453048499200, 1497720, 30417, 1800842001235200, 1128960, 122755322174284800, 43545600, 4546, 1800841961318401, 1089298975564800, 40325913, 20, 701, 4, 96, 269322080688460800], 'label': '1216451004088320000.a.158722200._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941817
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [36334233, 701, 4, 96, 1089298975564800, 123090254942054401, 74, 40325913, 507210453048499200, 43545600, 123090254981971200, 122755322174284800, 4546, 1497720, 269322080688460800, 30417, 20, 1128960], 'label': '1216451004088320000.a.158722200._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941818
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [371693362803442713, 15840, 256094948229120000, 6405163411046421, 6403774785408000, 243648677951078764, 256094948229120104, 256098871252224002, 6402373749682713, 134449847860204800, 256098871252224001, 6403774785408240, 2789705318400, 243645888245760720, 378097137545258880, 378095736066048000, 122002188953299920, 256094948229120045, 371693362360360320, 243645888245760512], 'label': '1216451004088320000.a.158722200._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941819
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '335920.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': 167960, 'diagramx': None, 'generators': [258273720558553261, 2811, 4, 4197012040465, 181062620781, 105928329866529, 64088498073708, 4184558007823, 6706022442, 1197712, 384942893413737023, 898511091135404164, 13181451034775143, 37442662, 36221, 6706048391, 2622054789513, 186810694795, 23, 12454041600, 22498226171835, 8], 'label': '1216451004088320000.a.335920.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '335920.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '335920.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941820
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [14232989835187200, 722, 4, 21069517179110400, 32770419777043200, 21090446196019200, 151, 73, 4354, 35051, 1509570, 39587500131379200, 32749658886067200, 39545480195020800, 46233, 3991680, 27767332365696000, 15, 12, 514], 'label': '1216451004088320000.a.158722200._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '158722200.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '158722200._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941821
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27713400, 'diagramx': None, 'generators': [22324392155520, 44648776972800, 43247182003200, 46233], 'label': '1216451004088320000.a.166280400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '166280400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '166280400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941822
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 83140200, 'diagramx': None, 'generators': [41845579776078, 43421495076025, 2897041593600, 21204443052368, 26247371673648, 149336931744019, 19160064000, 6452346585843242, 41865777702909, 43421495040691, 356457024000, 43545600, 104721245800861, 5237403849262, 8127782611200, 2704007577615, 1001548800, 104707833784795, 5237403494473, 4], 'label': '1216451004088320000.a.166280400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '166280400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '166280400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941823
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 83140200, 'diagramx': None, 'generators': [2897041593600, 5237403494473, 5237403849262, 4, 43421495076025, 104707833784795, 41865777702909, 149336931744019, 104721245800861, 41845579776078, 43545600, 356457024000, 21204443052368, 8127782611200, 43421495040691, 2704007577615, 6430022200986362, 26247371673648, 1001548800, 19160064000], 'label': '1216451004088320000.a.166280400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '166280400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '166280400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941824
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [256094948229146496, 378095736066093360, 518918400, 256094948229120000, 122000787836928056, 122000787836928004, 122000787836928103, 873, 256094948229120138, 122000787836928514, 122006038652467200, 121646408083200000, 122000787836928226, 378095736066048000, 1307674408320], 'label': '1216451004088320000.a.166280400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '166280400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '166280400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941825
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 14108640, 'diagramx': None, 'generators': [4103606707200, 93407922905, 56, 267761894400, 87658435472, 22404820838888, 66878219866176, 12454042287, 262013890522, 93405570726, 26328323912731, 174356586250, 104713582046652, 3, 44460928512008, 513], 'label': '1216451004088320000.a.169303680._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941826
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [128047474114585380, 20294, 243290200817664609, 128047474154885913, 128047474114561666, 128047474114560055, 87620409676800, 128047474114560000, 7, 369867183, 243290200817689931, 77, 128047474114560004, 243290200817664016, 790822, 355715047, 243290200861209600, 6469239455078401, 39893, 6215190, 249759440316697113, 243290200834098425], 'label': '1216451004088320000.a.169303680._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941827
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [243290200817664395, 66865774826694, 243376600732792826, 243290200861209600, 87620409676800, 43159481164807, 243311210785844865, 128047474154885913, 66865750519349, 243290200817690079, 128047474114560000, 43159481164903, 128114340072657960, 86399913600004, 243377821227340815, 43159484476951, 87620411567671, 2789705318400, 243376600736753400], 'label': '1216451004088320000.a.169303680._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941828
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [128047474114585380, 6424778526566401, 20294, 243290200817664609, 128047474154885913, 128047474114561666, 128047474114560055, 87620409676800, 128047474114560000, 7, 369867183, 243290200817689931, 249714979388185113, 77, 128047474114560004, 243290200817664016, 790822, 355715047, 243290200861209600, 39893, 6215190, 243290200834098425], 'label': '1216451004088320000.a.169303680._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941829
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [2834211, 128047474114564554, 43159481165514, 128090802204292512, 128111812172492487, 128090633596012832, 128052972604268740, 128047561771854421, 121645100412460800, 128047474114560073, 128047474114560000, 243290200817664019, 128047474114560016, 128050096172231972, 128090802205426447, 128047561771852800, 3, 128132572580815523], 'label': '1216451004088320000.a.169303680._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941830
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '369512.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': 92378, 'diagramx': None, 'generators': [2534273404185600, 85266635734901, 540, 5324104987964, 85092718235081, 371382497546876588, 1663133476312, 958003299, 45660339939490306, 28227721401070269, 12454041608, 1194013076334731, 615006161994474264, 64170407347574, 85092718236639, 371699920411150814, 675, 718006673348325, 3, 42, 20], 'label': '1216451004088320000.a.369512.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '369512.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '369512.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941831
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [6758061133828497, 6758242196690225, 23939, 186810624240, 6758073587865600, 6758061133824000, 6706022965, 100111334481, 12807456197946073, 6759556100666430, 12804835068930239, 6403681380096000, 12804747411456020, 6758154540803660, 12805015173926670, 6758235490407863, 6758061133824074, 12805015173350474, 12804747411456104, 3], 'label': '1216451004088320000.a.169303680._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941832
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [6758061133828497, 1307677996800, 6758242196690225, 23939, 186810624240, 6758073587865600, 6758061133824000, 6706022965, 100111334481, 12807456197946073, 6759556100666430, 12804835068930239, 12804747411456020, 6758154540803660, 12805015173926670, 6758235490407863, 12805015173350474, 12804747411456104, 6758061133824074, 3], 'label': '1216451004088320000.a.169303680._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941833
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [6758061133828497, 6758242196690225, 23939, 186810624240, 6758073587865600, 6758061133824000, 6706022965, 100111334481, 12807456197946073, 6759556100666430, 12804835068930239, 12804747411456020, 6758154540803660, 12805015173926670, 6758235490407863, 6758061133824074, 12805015173350474, 12804747411456104, 6402373709356800, 3], 'label': '1216451004088320000.a.169303680._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941834
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [2834211, 6424872410880000, 128047474114564554, 43159481165514, 128090802204292512, 128111812172492487, 128090633596012832, 128052972604268740, 128047561771854421, 128047474114560073, 128047474114560000, 243290200817664019, 128047474114560016, 128050096172231972, 128090802205426447, 128047561771852800, 3, 128132572580815523], 'label': '1216451004088320000.a.169303680._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941835
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [2834211, 128047474114564554, 43159481165514, 128090802204292512, 128111812172492487, 128090633596012832, 128052972604268740, 128047561771854421, 128047474114560073, 243312699526444800, 128047474114560000, 243290200817664019, 128047474114560016, 128050096172231972, 128090802205426447, 128047561771852800, 3, 128132572580815523], 'label': '1216451004088320000.a.169303680._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '169303680.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '169303680._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941836
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '174594420.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': 174594420, 'diagramx': None, 'generators': [2156361738854400, 1174320, 53753276022969600, 6632775072000, 818224, 737896256697600, 128047474114560000, 128425485933146753, 3929769043200, 8558822622873600, 355419187200, 12972960000, 806400, 1181105, 122023112225414400, 958003200, 40950091553817600], 'label': '1216451004088320000.a.174594420.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '174594420.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '174594420.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941837
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 181396800, 'diagramx': None, 'generators': [13537138941849600, 21000, 35455, 103, 1636, 661, 3991680, 1509570, 46233, 47016398694988800, 4, 26157, 8, 7159704458054400], 'label': '1216451004088320000.a.181396800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '181396800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '181396800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941838
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 181396800, 'diagramx': None, 'generators': [74, 26675, 716705664998400, 1140784, 3991680, 1802068684416000, 36792, 277, 122063562935211181, 19, 46233, 4, 3032, 36544], 'label': '1216451004088320000.a.181396800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '181396800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '181396800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941839
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '186234048.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': 23279256, 'diagramx': None, 'generators': [378095911380843682, 518918433, 128758855679362923, 19563071081385940, 7226081668, 19160090441, 518918699, 13181358148387865, 15, 19562809503283216, 518918407, 376629899915336, 3, 13181358148359518, 12804760826104956], 'label': '1216451004088320000.a.186234048.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186234048.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186234048.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941840
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31177575, 'diagramx': None, 'generators': [122003516357049600, 12537866880, 378095736066048506, 256094948229120000, 25390713600, 256097663290385280, 378095736066048200, 378095743773619200, 122000787836964163, 255, 1327912185600, 378108350489687193, 11053, 122000787836928000, 122002189439523993, 5490, 11350, 9247725002880], 'label': '1216451004088320000.a.187065450._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '187065450.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '187065450._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941841
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '372096.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': 93024, 'diagramx': None, 'generators': [256471558853258213, 11249280, 256471558447104588, 93405312000, 499385149482603988, 141563596382219064, 256471558447104000, 365667598872578325, 499385149046784104, 365667598872867664, 141563596382898513, 365667680346802712, 365667662065271914, 522956313, 141563596382208741, 256471558447104015, 36008, 256471558447104003, 627], 'label': '1216451004088320000.a.372096.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941842
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [367920, 122000787836928000, 404078125658289, 1284658937473370289, 122023112225414400, 368793], 'label': '1216451004088320000.a.187065450._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '187065450.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '187065450._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941843
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [614984870852352000, 36152, 493341078117888000, 87091632, 43914393, 858360076730956800, 127370958, 778240605542400, 127370880, 736650894051072000, 21769, 31576, 16065, 121645100528612825, 87091200, 87117250, 756987933000499200], 'label': '1216451004088320000.a.187065450._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '187065450.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '187065450._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941844
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [378095742815616000, 99672249600, 378095736066048265, 378101149270750080, 256094948229120000, 256094948229123420, 12933406080, 152, 256094948229123632, 122000787836928000, 1353, 378095736066069821, 122000906673233280, 256094948229120966, 436414003200, 374659084800, 134461060641366480, 256096349831715993], 'label': '1216451004088320000.a.187065450._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '187065450.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '187065450._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941845
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [122012000657971200, 122000787836928000, 356995102464000, 121646502011422080], 'label': '1216451004088320000.a.187065450._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '187065450.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '187065450._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941846
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [35434, 378095854902353280, 6392, 378095736066056792, 256108964254629424, 4472, 9241421777280, 30996, 9440766276480, 7846569118080, 378095736066048000, 529343942400, 12289, 243647289848350080, 378105076641156480], 'label': '1216451004088320000.a.187065450._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '187065450.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '187065450._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941847
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [35434, 378095854902353280, 14016025509424, 6392, 378095736066056792, 4472, 9241421777280, 30996, 9440766276480, 7846569118080, 378095736066048000, 529343942400, 12289, 243647289848350080, 378105076641156480], 'label': '1216451004088320000.a.187065450._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '187065450.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '187065450._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941848
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 47028800, 'diagramx': None, 'generators': [391680131389747832, 628567958980720956, 243312443735966072, 391720657320119416, 635010863885798400, 634969018306022481, 121645113342647193, 391680118935705616, 3991680, 41845579776000, 506942467460360070, 121646408083200000, 12454041600, 770462128737106560, 1320607411200, 46233, 249735727777536003, 128069704578816000], 'label': '1216451004088320000.a.188115200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '188115200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '188115200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941849
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 188115200, 'diagramx': None, 'generators': [1020200733401875200, 4, 1640, 892084992454656000, 22237170278400, 7, 1013777443129651200, 1140784, 1020200733398246401, 74, 46233, 13385, 130, 6706022400, 3991680, 23623, 639, 243290207523686400, 12], 'label': '1216451004088320000.a.188115200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '188115200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '188115200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941850
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1627920, 'diagramx': None, 'generators': [87657292800, 522956313], 'label': '1216451004088320000.a.195350400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '195350400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '195350400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941851
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [415233, 314, 1871294, 518918400, 119, 38, 123091475438131201, 123091475917132800, 83871513, 698, 984, 20, 4037913, 3, 309146, 10935, 632, 2289873], 'label': '1216451004088320000.a.195350400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '195350400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '195350400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941852
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '387600.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': 387600, 'diagramx': None, 'generators': [257205163767552000, 5312972178, 148321657516032000, 26581, 443122712, 122002101738316800, 36325, 2174461, 1704968, 5313733353, 4449, 6270975513, 628166228481792000, 2612830, 627474468741120000, 5312600064, 81, 3, 6706022400, 1960436820, 12, 1256965, 713, 121], 'label': '1216451004088320000.a.387600.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '387600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '387600.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941853
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8139600, 'diagramx': None, 'generators': [518918400, 21009972217113, 21009968179200], 'label': '1216451004088320000.a.195350400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '195350400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '195350400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941854
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 99768240, 'diagramx': None, 'generators': [6423297493902458, 79833616, 262518244811841977, 128047486612149553, 16, 7257615, 250048263994869251, 262518245323527202, 711375458937490, 40279754, 83826018, 140852677543186665, 87178297113, 13181358112070795, 365290989732711550, 7259922, 83825299, 3, 376610338097291, 1524462620, 83825284], 'label': '1216451004088320000.a.199536480._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '199536480.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '199536480._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941855
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 99768240, 'diagramx': None, 'generators': [6423297493902458, 79833616, 262518244811841977, 128047486612149553, 16, 7257615, 250048263994869251, 121645107238605463, 262518245323527202, 711375458937490, 40279754, 83826018, 140852677543186665, 13181358112070795, 365290989732711550, 7259922, 83825299, 3, 376610338097291, 1524462620, 83825284], 'label': '1216451004088320000.a.199536480._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '199536480.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '199536480._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941856
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 99768240, 'diagramx': None, 'generators': [6423297493902458, 79833616, 262518244811841977, 128047486612149553, 16, 7257615, 250048263994869251, 121645194416890757, 262518245323527202, 711375458937490, 40279754, 83826018, 140852677543186665, 13181358112070795, 365290989732711550, 7259922, 83825299, 3, 376610338097291, 1524462620, 83825284], 'label': '1216451004088320000.a.199536480._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '199536480.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '199536480._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941857
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8817900, 'diagramx': None, 'generators': [3923067058713, 2789705318400, 1401119596800, 2708754048000, 1401123634713], 'label': '1216451004088320000.a.211629600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941858
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [122002095511296005, 122002188916734945, 122000875015219464, 2615348943525, 2708754048000, 4103606707200, 122000794063959600, 122004804265395174, 122002095511296021, 122000968460448000, 122000968420819274, 122004710860035045, 122004885216618873, 1313901388800, 122000794063948801, 4010201483925, 122000968464485913, 122004710867652480, 9517, 122002269893689104, 122004885656062825, 122004885224535194, 122004710860072320, 1488258022320, 122000875015219224], 'label': '1216451004088320000.a.211629600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941859
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [174356582404, 4103606707200, 2708797593600, 122004717087052819, 1394857065785, 4103606707268, 122002183096421912, 2615348736200, 174356591104, 122003577582572313, 33068288, 122004798038324829, 122004798038323200, 2708754048000, 122002276097848448, 93405348129, 2789705318400], 'label': '1216451004088320000.a.211629600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941860
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [6403687614825272, 7355, 13160434879468800, 6405163411086720, 403205913, 359791034803221, 4103606707200, 6406477632132624, 13164538446259205, 12804747411456000, 13160434847218857, 13160435202841113, 1313901388800, 13164538446261504, 6406477312438245, 357001329484824, 6403687607117064, 13164538889381913, 13163224544870401, 13160434883506713, 355687439385600], 'label': '1216451004088320000.a.211629600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941861
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [36334233, 40211, 11, 20929016908800, 1678, 43545600, 107, 122444177061790806, 122444176625971201, 1514844, 1089298975564800, 40325913, 122444176669925913, 4150, 422465999155200, 3312147, 4, 766101, 26064], 'label': '1216451004088320000.a.211629600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941862
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [1110215538432000, 1781233072819200, 1800848188339200, 43545600, 40325913, 1089298975564800], 'label': '1216451004088320000.a.211629600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941863
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77520, 'diagramx': None, 'generators': [19939418765845328, 6423296539570711, 19939418764056166, 2586395, 19939512168576000, 6423296495619006, 19939419286220313, 19939418802535456, 6423296495642079, 12976997913, 19939418763264000, 19939418763264174, 19939418763264020, 6423296497478646, 13516122290354899, 6423296495616004, 6423296495616000, 6423296530139391, 81, 25756996, 6423296523640147, 36006737], 'label': '1216451004088320000.a.465120._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941864
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [36334233, 2949273, 4, 632, 30247, 1110221809407513, 1089298975564800, 1781233072819200, 825, 40325913, 43545600, 1110221765452801, 1110215538432000, 3113, 4207, 103, 23], 'label': '1216451004088320000.a.211629600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941865
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [36334233, 2949273, 4, 632, 30247, 1089298975564800, 1781233072819200, 1466077323110401, 825, 40325913, 43545600, 1466077367065113, 1110215538432000, 3113, 4207, 103, 23], 'label': '1216451004088320000.a.211629600._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941866
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [93405312000, 274467916800, 87657292800, 711549212774400, 732472481664000, 13516122267648000, 6423296495616000, 13537132235873433, 12825845040919680], 'label': '1216451004088320000.a.211629600._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941867
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [355774606387200, 357088548101913, 174356582400, 4010244940800, 1313901388800, 4103606707200], 'label': '1216451004088320000.a.211629600._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941868
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [4103606707200, 358396222060800, 357175686067221, 357082280964639, 1395258721920, 1313901388800, 174356582400, 358477133823510, 355780833408105, 355687428096720, 359616722175513, 359697629491205, 357082280755545, 1313901797912, 3929250127623, 359697629491201, 357001329522963, 4010201395259, 355780833576103], 'label': '1216451004088320000.a.211629600._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941869
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [122799783105383192, 20929019132310, 67, 122357782939399344, 122398327071844515, 1089298975564800, 123445942370150412, 1781233513806065, 123466871387085272, 1110215538432003, 40325913, 443395016067032, 122398327071838405, 121711972385203200, 43545600, 122357783262764306, 122398327071822462, 121732888948091438, 1110215538432000, 122042633416709911, 20929326192723, 122778854085923445, 122778854092103190, 123466871387059706, 1781233072819466, 123111177768639393, 422465999155200, 122357782939392055], 'label': '1216451004088320000.a.211629600._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941870
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [121645106635852800, 122755322174284803, 1089298975564800, 67, 21038, 1781233072819255, 123070646494542065, 20929019132310, 122444182852992506, 1110215544647190, 40325913, 122067572635011032, 1089298978151192, 122444182853018072, 1110215538432000, 1110215538467445, 122423253836083212, 121666023508003923, 43545600, 123070646053555466, 422465999155200, 123426327578002706, 123486486502602915, 1485698665657111, 122088489234572193, 1841379866744005, 123486486502580862, 123426327254637744], 'label': '1216451004088320000.a.211629600._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941871
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [36334233, 40211, 11, 123466865595858006, 123466865160038401, 20929016908800, 1678, 43545600, 107, 1514844, 1089298975564800, 40325913, 4150, 422465999155200, 3312147, 4, 766101, 123466865203993113, 26064], 'label': '1216451004088320000.a.211629600._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941872
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [526816327670414040, 750857555568804600, 43545600, 270, 621074716611148800, 269340381904094944, 877524044593996859, 40325913, 525082264279401943, 397700483596416015, 622140645577651200, 621745721691505436, 526816327669632000, 877524044593996804, 122778854085888000], 'label': '1216451004088320000.a.211629600._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941873
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [4103606707200, 6762158956633113, 6227020824, 1313901388800, 12804747411456000, 6759368848108800, 403205913, 6760857066163201, 1307685657600, 6762158513510405, 4097379686421, 12804753646185272, 12808845110839824, 6759368852146713, 12807543343835520, 7355, 6759369171481113, 6759368815858857, 6762158513512704, 12804753638477064, 12808844791145445], 'label': '1216451004088320000.a.211629600._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941874
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232560, 'diagramx': None, 'generators': [22230464256019, 1087985074176059, 1087985074463491, 356995102464026, 1087985074180483, 1110215538669820, 398841137845896, 753220437782218, 7491713540406006, 12826980416786842, 19, 1087985084257092, 20296413881557001, 711374856317499, 1087985074776912, 3, 115, 1087985074423428], 'label': '1216451004088320000.a.465120._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941875
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [121646501488512000, 4, 12072468, 128047474114560023, 128047474114560000, 243290201176327281, 243290200857989913, 6405163455001113, 128047474114560200, 2910, 6405163411046401, 45, 128047474114560269, 128047474120775190, 243290200817685429, 2789705318400, 243290200820250270, 128047474158105600, 514], 'label': '1216451004088320000.a.211629600._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941876
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [33521186284185604, 4103606707200, 93405312000, 33523627276341521, 40276371013401600, 461702936217600, 14940273538713600, 1313901388800, 21050942455101729, 33855950923165593, 33143274618854640, 3991680, 6508389213849600, 46233, 26765566142515215, 45554244395012136, 27473198559206504, 33147110463667256], 'label': '1216451004088320000.a.211629600._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941877
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [506, 25810584, 48, 4, 21009102623308800, 36697164, 111, 17310, 648505801828684800, 35659188, 2949266, 26571765, 40325913, 34134, 35473, 406834712, 43545600, 262581193678003200, 891042956566963200, 11, 4468, 1497614], 'label': '1216451004088320000.a.211629600._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941878
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [6402373749682713, 6402373745644800, 6423296495616000, 6423389900928000, 21009968179200], 'label': '1216451004088320000.a.211629600._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941879
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [19939518395596805, 19562995834905601, 87657292800, 13516122267648000, 6758160766157425, 13516390032491673, 13181531986022411, 93405312000, 19939431696307224, 6423296495616000, 376697396286000, 711549212774400, 19939593602476800, 274467916800, 711374860229913, 711462037795353, 19228056842701593, 7134846187392720, 13516128975888024], 'label': '1216451004088320000.a.211629600._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941880
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [4103632522230, 6758061133824000, 13163230771891225, 13161742557465600, 6759375035213166, 6405169660249182, 4103606707200, 356995104334899, 1313904704650, 359784807803499, 6405169638067304, 13163230774840547, 356995102464004, 6402379935709067, 2789705318400, 12808851018164640, 13161742554245913, 13163231211385113, 12807537153471512, 355693655116820, 355693655116800, 355693655116944], 'label': '1216451004088320000.a.211629600._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941881
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [12807543343835520, 13164538809548313, 6405163418754872, 2795943628800, 7355, 12808844791145445, 358477133414424, 356995102464000, 403205913, 359791034803221, 6405163411046664, 13164538446259205, 12804747411456000, 6762158513512704, 1313901388800, 12808845110839824, 13164538453926057, 13164538486176000, 13163224544870401, 13164538490213913, 6762158956633113], 'label': '1216451004088320000.a.211629600._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941882
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [13164538809548313, 359784807782400, 6405163418754872, 12804753958174224, 7355, 358477133414424, 6758067360847104, 403205913, 12804753638479845, 359791034803221, 6405163411046664, 6758067803967513, 13164538446259205, 12804747411456000, 12806055085864320, 1307685657600, 1313901388800, 13164538453926057, 13164538486176000, 13163224544870401, 13164538490213913], 'label': '1216451004088320000.a.211629600._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941883
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [249693882197760944, 134805709604966403, 364939398606182411, 358389955123592, 3312152, 121645280992435200, 250050877300224000, 122003577542246400, 6406390134144078, 13160441073513753, 128048962372537112, 378099839672755200, 6406390177689600, 12808757612854537, 364939398646508313], 'label': '1216451004088320000.a.211629600._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941884
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [621429096364876800, 621763941954366236, 750167190680791800, 43545600, 270, 877524044593996859, 621429096366379744, 40325913, 877524044593996800, 525082264279401943, 398453704032384015, 877524044593996804, 878235593806771200, 122778854085888000, 526856952754113240], 'label': '1216451004088320000.a.211629600._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941885
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1140.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': 1140, 'diagramx': None, 'generators': [93928268313, 22230464256000, 121666023198720000, 128047474114560000], 'label': '1216451004088320000.a.1140.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1140.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1140.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941886
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232560, 'diagramx': None, 'generators': [486936089063424001, 522956313, 288228, 83478345, 4, 18674838, 443117673, 38674577, 797152, 107, 33195150, 40194281, 486936176241715200, 12976997913, 4471, 384853797199872000, 93405312000, 19, 81, 7788009, 3326647, 177, 152650], 'label': '1216451004088320000.a.465120._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941887
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [12804840816768000, 4103632522230, 358389955144299, 13163230771891225, 13161742557465600, 4103606707200, 6402460886979467, 1313904704650, 12808757649548312, 13163230774840547, 355868011699200, 6406390134144104, 6406390156325982, 355868011699220, 6761990383949166, 359610453070899, 2789705318400, 12806235669428640, 359610451200004, 355868011699344, 13161742554245913, 13163231211385113], 'label': '1216451004088320000.a.211629600._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941888
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [121666023202757913, 355774606387200, 122377398054912000, 20922793516800, 122356569149337600, 376610217984000], 'label': '1216451004088320000.a.211629600._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941889
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [36334233, 422472226176001, 40211, 4, 3312147, 107, 40325913, 26064, 1678, 43545600, 122755322174284800, 122444177061790806, 1485698665651200, 87794766259200, 766101, 11, 422472270130713, 1514844, 4150], 'label': '1216451004088320000.a.211629600._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941890
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [243356992321766400, 243290200818804784, 6402373709356800, 128047474114560278, 20929016908800, 128047474114560004, 128094557097830400, 128068665145344000, 128047474114606233, 3991680, 128047474114560000, 243356986098374400, 2214, 20, 128047474114560048, 128047474114560012, 128047474114583623, 1614], 'label': '1216451004088320000.a.211629600._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '211629600.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '211629600._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941891
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55426800, 'diagramx': None, 'generators': [134805535731014412, 128047488089068812, 12804747455004627, 12804747455001603, 256097831902254559, 12812699396855036, 371337676409145604, 12810090754137600, 128047475635358361, 128047474114560000, 128047475072894585, 378095929582694400, 122000787836928000, 378095736066048000, 12804747455332390, 256094948229120004], 'label': '1216451004088320000.a.221707200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '221707200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '221707200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941892
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 221707200, 'diagramx': None, 'generators': [6403681380096000, 355687428136320, 6758061133824000, 1401602227200, 12804747411502233], 'label': '1216451004088320000.a.221707200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '221707200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '221707200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941893
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 38798760, 'diagramx': None, 'generators': [378099845939692800, 256094948229120000, 378095736066048569, 15974, 122000787837296793, 256094948229523200, 122000787839818460, 26054, 378095736066048004, 122000968460448000, 378095736066104280, 378095736066190584, 378095736066048000, 20, 122000787838724427, 344403, 378097137665055513, 99], 'label': '1216451004088320000.a.232792560._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941894
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58198140, 'diagramx': None, 'generators': [1068370042481283, 711374860184197, 41845587033603, 1078151769, 19961651183806405, 7, 1068369965913604, 398840682240112, 121645120055159702, 15, 398841767614760, 494049837629335688, 356995222577387, 6423296623019625, 40284339, 4, 711374860183691, 26008349918785046, 250048261951488020, 3991703], 'label': '1216451004088320000.a.232792560._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941895
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [3929250528012, 2708754128647, 85086012211219, 1093695, 84596800, 45367, 1154769886851948, 853024846465093824, 27412865045400435, 47260110, 26698874750876275, 3, 25986198446611219, 437910064, 45375, 23544365644816, 1488314015193615, 174357711383, 20], 'label': '1216451004088320000.a.232792560._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941896
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [121646502007430400, 121645100409194880, 122000787836928000, 356995102464000, 355687428505113], 'label': '1216451004088320000.a.232792560._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941898
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [71432, 378095736066084522, 377741450236550400, 256094948229367779, 256094948229120000, 122006212051046400, 122000787837296793, 378095736068192036, 256094948229298303, 403200, 378095736066048291, 378095736066048000, 378095736066048011, 256094948229120003, 122000787836928636, 378097062940396800, 378095736066281570], 'label': '1216451004088320000.a.232792560._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941899
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [1068370042481283, 711374860184197, 41845587033603, 1078151769, 6749936793, 19961651183806405, 7, 1068369965913604, 398840682240112, 15, 398841767614760, 494049837629335688, 356995222577387, 6423296623019625, 40284339, 4, 711374860183691, 26008349918785046, 250048261951488020, 3991703], 'label': '1216451004088320000.a.232792560._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941900
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [403200, 26076, 256094948229120003, 378095736068705823, 378095736068231550, 378095736066084152, 328449, 256094948229120000, 122000787837296793, 1308672288000, 378099921582028800, 122000787836928631, 13160434839961113, 256094948229343445, 15, 378095736066048000, 122000787836994371, 122000787836944431, 256094948229120081, 122000787836928103, 122000787836953950], 'label': '1216451004088320000.a.232792560._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941901
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [1401599007513, 46, 256094948229120000, 256094948229120016, 368793, 256094948229523200, 128403161543065113, 339448, 384, 66390, 256100547318739200, 256094948232316976, 256094948229151009, 4197012019200, 104, 26064, 256094948229120004], 'label': '1216451004088320000.a.232792560._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941902
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [339448, 384, 368793, 256094948232316976, 122002189435935513, 256094948229120000, 104, 66390, 256094948229120004, 46, 26064, 256100547318739200, 256094948229151009, 256094948229120016, 128403161543065113, 256094948229523200, 4197012019200], 'label': '1216451004088320000.a.232792560._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941903
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [339448, 384, 368793, 256094948232316976, 122002189435935513, 256094948229120000, 104, 66390, 256094948229120004, 46, 26064, 256100547318739200, 13160434839961113, 256094948229151009, 256094948229120016, 256094948229523200, 4197012019200], 'label': '1216451004088320000.a.232792560._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941904
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [6758061133824000, 22324388486400, 712776414873600, 6402373708227749, 19160064000, 5237403494400, 280215936000, 958003200, 408960, 2408280, 1090787233536000, 33], 'label': '1216451004088320000.a.232792560._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941905
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [10801, 128047474114560056, 377741450236550400, 256094948229120000, 378095736066074330, 12804835068748800, 256094948229523200, 13160434839961113, 243290200817735432, 256094948229156281, 128047474114560000, 128047474114560627, 122000787836928000, 134805535248384003, 256094948229120278, 122000787837201900, 122004898668576000, 243290200818032793, 134805535248384016], 'label': '1216451004088320000.a.232792560._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941906
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [19207121117593113, 6402373706090880, 13516216191878400, 13516122267648000, 711374856192000, 6779071102003200, 19939418763264000], 'label': '1216451004088320000.a.232792560._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232792560.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232792560._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941907
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '241862400.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': 120931200, 'diagramx': None, 'generators': [43545600, 40325913, 14606722690560000, 421245503078400], 'label': '1216451004088320000.a.241862400.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '241862400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '241862400.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941908
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232560, 'diagramx': None, 'generators': [93928268313, 21009968179200, 6423967173672846], 'label': '1216451004088320000.a.465120._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941909
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31177575, 'diagramx': None, 'generators': [43240519564095, 127370899, 1394936485943, 174363840023, 64169576739913, 518615982659198384, 47537284, 127370880, 174443673641, 174400128650, 27453315681799373, 41845579778058, 397034964564958892, 40279680, 38794862694031078, 93525430258, 79833600, 6444399909394397], 'label': '1216451004088320000.a.249420600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '249420600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '249420600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941910
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 124710300, 'diagramx': None, 'generators': [12813988310323200, 6758584203571200, 12804747495281280, 6758061133828320, 6758061137815680, 43545600, 13173049263185280, 12804779025561600, 12804749327462400, 6758061133824008, 12804747411456096, 36000, 12804747411456015, 3, 6758061133824624, 6758061133824000], 'label': '1216451004088320000.a.249420600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '249420600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '249420600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941911
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 124710300, 'diagramx': None, 'generators': [12813988310323200, 6758584203571200, 12804747495281280, 6758061133828320, 6758061137815680, 43545600, 12804779025561600, 12804749327462400, 6758061133824008, 12804747411456096, 36000, 11212821043200, 12804747411456015, 3, 6758061133824624, 6758061133824000, 1401602595993], 'label': '1216451004088320000.a.249420600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '249420600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '249420600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941912
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 124710300, 'diagramx': None, 'generators': [7137380105856000, 14232989835187200, 7553301506150400, 38792166353740800, 3633840, 3991680, 1111610391091200, 6780385482771032, 3634713, 33479259753139200, 7491666454272000], 'label': '1216451004088320000.a.249420600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '249420600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '249420600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941913
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 249420600, 'diagramx': None, 'generators': [36152, 134, 1781314543008000, 1866231946656000, 123469318606984560, 76473, 157832, 2533146832339200, 73, 368793, 644, 16291, 403200, 2739060, 362594192083200, 20, 2598629225068800, 3], 'label': '1216451004088320000.a.249420600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '249420600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '249420600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941914
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [122000787840919680, 378095736066048395, 11, 256094948229120000, 11819, 122000787838068784, 122000787836928074, 122003577542246400, 122000787836928000, 15, 46233, 122000787836931998, 1575915264000, 4, 2702], 'label': '1216451004088320000.a.253955520._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941915
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [409783985, 403, 36535, 6577353, 2223518, 44554333824000, 3312152, 104, 518, 36697112, 83697430527513, 40325913, 25811087, 43545600, 3, 3753, 65470896691200, 15, 328163784, 29470892], 'label': '1216451004088320000.a.253955520._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941916
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [74, 1313901388800, 42, 378095736070039680, 243645888249388800, 378095736066056143, 378095736067188784, 378095998079923200, 21038, 278, 46233, 378095736066048000, 20, 378095736066049613, 4, 104], 'label': '1216451004088320000.a.253955520._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941917
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [122000794550086246, 267761894400, 122006192890982507, 122000787836928019, 122000800293683309, 6706022408, 122000787836928003, 2715460074768, 1401574920931, 121645100412460800, 1401558705639, 122000974649177886, 122000787836928000, 122000974647552033, 1569209329413, 5330808807413, 15, 5237403785327, 122000800290970206], 'label': '1216451004088320000.a.253955520._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941918
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [122000794550086246, 267761894400, 122006192890982507, 122000787836928019, 122000800293683309, 356995102464000, 6706022408, 122000787836928003, 2715460074768, 1401574920931, 1401558705639, 122000974649177886, 122000787836928000, 122000974647552033, 1569209329413, 5330808807413, 15, 5237403785327, 122000800290970206], 'label': '1216451004088320000.a.253955520._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941920
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [267761894400, 1569209329413, 122000800290970206, 122000787836928019, 122000974647552033, 122000787836928003, 122000974649177886, 6706022408, 122000794550086246, 1401558705639, 1401574920931, 122000787836928000, 5330808807413, 122002095514924800, 5237403785327, 122006192890982507, 122000800293683309, 2715460074768, 15], 'label': '1216451004088320000.a.253955520._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941921
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [93405312000, 122000787840919680, 122000787836928658, 122000787836928019, 122000787836928081, 122000787836928000, 122000787836931650, 39624, 46233, 377741356312320000, 122000787836930291, 3, 122000787839175000, 122000787836928107, 1308153369600, 77], 'label': '1216451004088320000.a.253955520._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941922
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [378095742772070400, 378095736070039680, 378095736066072732, 378095736066083051, 378095736066050406, 378095736066048103, 378095736066049573, 122002095514924800, 1509570, 46233, 395, 378095736066048000, 378098613428659200, 3, 378095736066049618], 'label': '1216451004088320000.a.253955520._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941923
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [1320607411200, 5045, 122002269867878401, 256094948233111680, 256094948229120000, 128047474114560000, 128047474115291672, 1113, 128047474114560609, 12804747411459031, 128047474114560059, 122000787836928000, 392, 243290200817710233, 122000787836932446, 29056, 122000787837699993, 243290200817699434, 23, 243290200817664003, 12806229446035200, 4184557977600], 'label': '1216451004088320000.a.253955520._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941924
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [6488686441036800, 43545600, 44635285094400, 40325913, 4103606707200], 'label': '1216451004088320000.a.253955520._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941925
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [4103606707200, 6490168471987201, 3312152, 1232, 10712, 174, 43545600, 2230410, 6490168515941913, 44635285094400, 6940953, 40325913, 6486065033825998, 17871968, 4, 8, 3032, 104, 392], 'label': '1216451004088320000.a.253955520._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941926
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [121650505941888000, 122000787836928000, 256094948233111680, 256094948229120000, 1320607411200, 128047474114560000, 243290200817710233, 4184557977600], 'label': '1216451004088320000.a.253955520._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941927
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [1320607411200, 5045, 256094948233111680, 256094948229120000, 128047474114560000, 128047474115291672, 1113, 134452649983276800, 128047474114560609, 12804747411459031, 128047474114560059, 122000787836928000, 392, 243290200817710233, 358489587456001, 122000787836932446, 29056, 122000787837699993, 243290200817699434, 23, 243290200817664003, 4184557977600], 'label': '1216451004088320000.a.253955520._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941928
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [2622054758400, 355700381733363, 1401558681600, 4037913, 1307677996800], 'label': '1216451004088320000.a.253955520._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941929
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [4686, 4, 5318354764800, 107, 7, 34848, 82, 244, 1509570, 355687431724800, 1878336, 5760, 46233, 19, 122002095514924800, 274467916800, 3991680, 23328], 'label': '1216451004088320000.a.253955520._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941930
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [733605320448000, 377924119372800, 122042695091748480, 753220435968000, 1067069034265113, 377924642329113], 'label': '1216451004088320000.a.581400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941931
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 253955520, 'diagramx': None, 'generators': [68005294156800, 19360, 731672, 81, 6406471104019651, 3713, 1523048, 6426180103490371, 1878156, 5760, 89108667648000, 3991680, 15, 46233, 2965232, 3, 1492104, 513], 'label': '1216451004088320000.a.253955520._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '253955520.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '253955520._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941932
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 22170720, 'diagramx': None, 'generators': [27829554355744, 128339860131022, 11, 348716683416, 5250379894222, 6266937699, 7224940807, 5317915680093, 4010201395551, 2709715653512, 958003203, 13412132969, 6706022464, 5330808810845, 20, 4, 6806174367752], 'label': '1216451004088320000.a.266048640._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '266048640.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '266048640._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941933
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 66512160, 'diagramx': None, 'generators': [121645102455881965, 13163137377508758, 10926736, 65470900683571, 506897825557056062, 1131225506611766, 64076567345466, 41845587033689, 7257719, 23625321310092, 1394863908483, 19, 20, 33102556177057943, 403212, 4, 11249295, 11652554, 12849208339968348], 'label': '1216451004088320000.a.266048640._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '266048640.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '266048640._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941934
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 133024320, 'diagramx': None, 'generators': [390565750624724246, 19585039089373357, 4394892, 6403682428863999, 140894073823468664, 19228082826358958, 3672167, 25986105048556804, 22230464256000, 733605321173771, 19228045475479795, 121645185540074618, 7134685242897528, 123782423, 1087987472815835, 725764, 20, 3], 'label': '1216451004088320000.a.266048640._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '266048640.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '266048640._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941935
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 133024320, 'diagramx': None, 'generators': [13163137377508758, 10926736, 65470900683571, 522951120, 506897825557056062, 1131225506611766, 64076567345466, 41845587033689, 7257719, 23625321310092, 1394863908483, 19, 20, 33102556177057943, 403212, 4, 11249295, 11652554, 12849208339968348], 'label': '1216451004088320000.a.266048640._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '266048640.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '266048640._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941936
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '279351072.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': 279351072, 'diagramx': None, 'generators': [71432, 384853797199872000, 480, 81, 368793, 362125209600, 250424872169472000, 12, 10979, 403200, 262054154880, 121645281511399833, 268719897600, 447, 3, 323433, 36129], 'label': '1216451004088320000.a.279351072.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '279351072.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '279351072.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941937
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [93405312000, 174400128000, 376784614892313, 711374856192000, 732303873100800], 'label': '1216451004088320000.a.282172800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941938
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [122000875048281751, 122000794063948805, 711374856192000, 122377485233203590, 121666203782323201, 711549212774400, 122000968464485913, 121666029465657600, 121666029425740806, 122377578638523275, 122000968428198062, 122377485233203254, 376784582233268, 121666029425826480, 121666203782326230, 121666204221771030], 'label': '1216451004088320000.a.282172800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941939
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [122356475265024005, 711374856192000, 122021884983398454, 121645193814144001, 122356649654668951, 122021884983398790, 121645100408832006, 711549212774400, 122356568714290713, 121645100408917680, 122021804032136075, 121645193814147030, 122356568678002862, 376784582233268, 121645194253591830, 121645100448748800], 'label': '1216451004088320000.a.282172800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941940
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 47028800, 'diagramx': None, 'generators': [128089326400358400, 121667330876716800, 121645106635852800, 22230464256000, 121666023198720000, 243290200821701913, 243290200817664000], 'label': '1216451004088320000.a.282172800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941941
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [47394340464, 243498240, 445087338, 3328249, 242036, 372406044890880000, 148343887980288000, 249735727777536000, 81, 1210199, 49840392960, 3050, 285, 107, 23, 6706022400, 6270975513, 262518244724736000, 31192, 452, 486601330652236800, 722540160, 4, 3005428], 'label': '1216451004088320000.a.581400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941942
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [74, 36334233, 26171, 422378820864001, 1842600362803200, 2586469, 1445073581952000, 43545600, 422378864818713, 40325913, 20, 3, 3498, 627], 'label': '1216451004088320000.a.282172800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941943
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [122000881242266145, 4, 122377398054912225, 376610217984059, 121666023198720000, 122000962193525640, 711468551174520, 122377572818329112, 122000787877253913, 376610218013559, 122000962204468951, 121666116604032104, 174356582400, 711549582278702, 122000962193510419, 711549212774400, 121666197598848000, 122377491460227109, 122377491467164953, 174356617833, 122000962196459670, 121666197555337001], 'label': '1216451004088320000.a.282172800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941944
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [736691612543395352, 493362088086067200, 43333837747200, 493362088093008153, 864763932467666313, 736691612540114192, 493383098054251441, 85005060940881, 43545600, 621429096364878136, 621429096364880432, 40325913, 378099839672755220, 378099839672755200, 378120581879040004, 378120581879040632, 43333837750953], 'label': '1216451004088320000.a.282172800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941945
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [711549212774419, 93405312000, 21097146470401, 711374856192000, 732472002698553, 376703623304040, 732391051397040, 355687428097560, 21016195200120, 355687428096005, 376784589501787, 355861821375513, 711549212855040, 732297690034713, 21016195240320, 439447680, 174356582445, 732472035725640, 20922829804800], 'label': '1216451004088320000.a.282172800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941946
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [1013751028107417600, 525396106606694400, 770418969255936000, 519350815181721600, 3991680, 883569678984115200, 46233, 776889604042675200], 'label': '1216451004088320000.a.282172800._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941947
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [44548585804800, 4022655436800, 83958921446400, 128047474114606233, 243374159739110400, 262013875200, 121692444926976000, 243290200821655680], 'label': '1216451004088320000.a.282172800._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941948
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [243290200817669904, 243290200817664112, 262013875200, 243290200817675823, 243290200821655680, 243290200817664553, 128047474117878064, 128047474114606233, 121692444926976000, 83958921446400, 128047474114560011, 128047474114563328, 25119801907201, 4022655436800, 243290200817664074, 128047474114560026, 4, 25119805536000, 243374159739110400, 128047474114560023], 'label': '1216451004088320000.a.282172800._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941949
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [243290200817669904, 243290200817664112, 262013875200, 243290200817675823, 47344518144001, 243290200821655680, 243290200817664553, 128047474117878064, 47344521772800, 128047474114606233, 121692444926976000, 83958921446400, 128047474114560011, 128047474114563328, 4022655436800, 243290200817664074, 128047474114560026, 4, 243374159739110400, 128047474114560023], 'label': '1216451004088320000.a.282172800._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941950
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [243290200817669904, 243290200817664112, 262013875200, 243290200817675823, 47344518144001, 121730367004646400, 243290200821655680, 243290200817664553, 128047474117878064, 47344521772800, 128047474114606233, 83958921446400, 128047474114560011, 128047474114563328, 4022655436800, 243290200817664074, 128047474114560026, 4, 243374159739110400, 128047474114560023], 'label': '1216451004088320000.a.282172800._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941951
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [243290200817669904, 243290200817664112, 262013875200, 243290200817675823, 243290200821655680, 243290200817664553, 128047474117878064, 128047474114606233, 83958921446400, 128047474114560011, 128047474114563328, 4022655436800, 243290200817664074, 128047474114560026, 121728978379008001, 44548585804800, 4, 243374159739110400, 128047474114560023, 121728978382636800], 'label': '1216451004088320000.a.282172800._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941952
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '620160.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': 155040, 'diagramx': None, 'generators': [711468261504000, 522956313, 376610217984000], 'label': '1216451004088320000.a.620160.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '620160.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '620160.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941953
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [243290200817669904, 243290200817664112, 262013875200, 243290200817675823, 47344518144001, 243290200821655680, 243290200817664553, 128047474117878064, 47344521772800, 128047474114606233, 83958921446400, 128047474114560011, 128047474114563328, 4022655436800, 243290200817664074, 128047474114560026, 44548585804800, 4, 243374159739110400, 128047474114560023], 'label': '1216451004088320000.a.282172800._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '282172800.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '282172800._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941954
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '290990700.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': 290990700, 'diagramx': None, 'generators': [403200, 818779508870400, 368793, 4, 1568912, 24939218304000, 268280812800, 104, 2512404626054400, 273, 122777901833089508, 36152, 2156717158041600, 20929016908800, 85092279148800, 76473, 87794766259200, 11, 25, 2181568759378713, 26496, 121], 'label': '1216451004088320000.a.290990700.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '290990700.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '290990700.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941955
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 77597520, 'diagramx': None, 'generators': [493715073469912212, 376709933827482, 13181359106361719, 24951630816, 13516122311194078, 13181357672985770, 256806342807840636, 1476921655, 79833616, 243290201775697584, 3, 15, 384519046456364449, 115, 506519827104875204, 6423316218144430, 711375857740874], 'label': '1216451004088320000.a.310390080._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '310390080.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '310390080._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941956
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 155195040, 'diagramx': None, 'generators': [355419187216, 6763565860215640, 6758328895719053, 367436989945, 2790224777738, 1662614556193, 23, 12805015173353902, 6759550349965556, 6758329853721630, 12806149010463513, 6758061133824000, 1575915602976, 6758061652742400, 12804747411456003, 6758080812806400, 6759556617001652], 'label': '1216451004088320000.a.310390080._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '310390080.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '310390080._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941957
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 155195040, 'diagramx': None, 'generators': [355419187216, 6763565860215640, 6758328895719053, 13160434839961113, 367436989945, 2790224777738, 1662614556193, 23, 12805015173353902, 6759550349965556, 6758329853721630, 6758061133824000, 1575915602976, 6758061652742400, 12804747411456003, 6758080812806400, 6759556617001652], 'label': '1216451004088320000.a.310390080._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '310390080.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '310390080._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941958
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 155195040, 'diagramx': None, 'generators': [355419187216, 6763565860215640, 6758328895719053, 367436989945, 2790224777738, 1662614556193, 23, 12805015173353902, 6759550349965556, 6758329853721630, 6403775304326400, 6758061133824000, 1575915602976, 6758061652742400, 6758080812806400, 12804747411456003, 6759556617001652], 'label': '1216451004088320000.a.310390080._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '310390080.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '310390080._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941959
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4408950, 'diagramx': None, 'generators': [122000787843143190, 378099839672755831, 378097049967437313, 122003577585792000, 48, 256096262130511839, 256096262130508804, 15984, 256096262145446735, 1313901388800, 122000787836928000, 122000787836929106, 122000787838788624, 378095736066048517, 2789705318400, 1313941714713, 378097050294437904, 378095736066048000, 378095736066048020, 122004891443661264], 'label': '1216451004088320000.a.317444400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941961
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4103606707200, 121647890114150401, 359791034803979, 1313901388800, 121645100452786713, 122000787836968363, 121647890150842405, 122000787836928631, 122002101738316800, 357001768932511, 121645100408832005, 121645100448748800, 122000787836964151, 121646414310221520, 2789705358774, 357001329484806], 'label': '1216451004088320000.a.317444400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941962
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [256096262141814360, 399530882, 256097744161459833, 256099045608807120, 1313938080722, 122003583769307520, 122004885659737113, 256099045608806401, 4097379767760, 256099045648723200, 1313901388800, 4097379686421, 122004885216614402, 122000787836928000, 4097423641113, 122002101738317025, 122003583769267305, 378098532035084169, 378099833445734414, 256099045608817200, 378095736066048000, 4097390982645], 'label': '1216451004088320000.a.317444400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941963
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 387600, 'diagramx': None, 'generators': [22230464256000, 121666023198720000, 121645107158809113, 249692580750412800, 128047474114560000], 'label': '1216451004088320000.a.775200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '775200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '775200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941964
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [399530882, 1313938080722, 134449847820298800, 4097379767760, 134451161721677520, 134449847820288001, 134453945211279960, 243647202147148905, 1313901388800, 243647202590271513, 4097379686421, 243649985625446625, 243647202147189120, 4097423641113, 134449847860204800, 243645888245760002, 378098532035084169, 378099833445734414, 134453945199974400, 378095736066048000, 134449847820288633, 4097390982645], 'label': '1216451004088320000.a.317444400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941965
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [122000787843143190, 378099839672755831, 122003577585792000, 377742751164979220, 48, 256096262130511839, 256096262130508804, 256453338184243200, 359610451201106, 256450816255757135, 122003577542272464, 377740229221555713, 378097049967436800, 359610453060624, 122000787836928000, 121649023431951984, 2789705318400, 378097050294437904, 121646501528837913, 378097049967437317], 'label': '1216451004088320000.a.317444400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941966
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [358389956983824, 256096262130511839, 256452036751833935, 378097050294437904, 121645281032761113, 48, 122000787843143190, 122003577542272464, 377741449717632513, 121647802935859200, 122000787836928000, 358389955124306, 378097049967437317, 377743971661056020, 256096262130508804, 378097049967436800, 122003577585792000, 378099839672755831, 121647802935875184, 2789705318400], 'label': '1216451004088320000.a.317444400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941967
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [1313938080722, 243649991852467305, 243649991889164169, 243648677951078414, 1313901388800, 6402379932748800, 256097744161459833, 122004885227910645, 256099045608807120, 134452637525617200, 6403681391401560, 243648677951078402, 134452637565523200, 399530882, 378095736066048000, 371694670034688225, 122004885216695760, 122004885659737113, 122004885216614421, 134452637525606401, 134452637569561113, 243649991852507520], 'label': '1216451004088320000.a.317444400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941968
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [243649985625446625, 1313938080722, 1313901388800, 371696152065638414, 6405163422342645, 134453945211279960, 134453945199974400, 6405163455001113, 256094954496057600, 256094954456151600, 122002095511336320, 6405163411046421, 256096255903488720, 122002095954418713, 399530882, 371697466003724169, 122000794063948802, 378095736066048000, 256094954456140801, 256094954456141433, 122002095511296105, 6405163411127760], 'label': '1216451004088320000.a.317444400._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941969
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [366045691161427200, 366045691121510401, 59, 643, 769372923166848000, 1142802, 43545600, 26798, 12, 40325913, 369867183, 15713240, 615007101316608000, 3, 3750, 621473557293388800], 'label': '1216451004088320000.a.317444400._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941970
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [4103606707200, 1482470398111, 359791034803979, 358309003893174, 1482030950406, 121645100452786713, 122000787836968363, 122002269867879120, 358309003852800, 122003409412684801, 122000787836928631, 121645100408832005, 121645100448748800, 122000787836964151, 121647721984588800, 122003409449376805], 'label': '1216451004088320000.a.317444400._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941971
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [4103606707200, 121647890114150401, 122004804265344005, 358309003893174, 122000787836968363, 358309003852800, 121647890150842405, 87178291979, 122000787836928631, 357001768932511, 122000787836964151, 121646414310221520, 122004804309298713, 121647721984588800, 357001329484806, 122004804305260800], 'label': '1216451004088320000.a.317444400._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941972
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [121646408083200099, 4, 121647896342670284, 359784843799984, 4103606707200, 121647896384716800, 122003577582572313, 121645106635852815, 4323, 121647896341171212, 356995138798233, 2789705322411, 2789705318400, 121645106638802073, 121645106635852800, 121647896341206633, 2223505, 4103606707485, 355693655116800], 'label': '1216451004088320000.a.317444400._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941973
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [4103606707200, 1482470398111, 1313901388800, 122004804265344005, 1482030950406, 122000787836968363, 122002269867879120, 122003409412684801, 87178291979, 122000787836928631, 122002101738316800, 122000787836964151, 122004804309298713, 2789705358774, 122003409449376805, 122004804305260800], 'label': '1216451004088320000.a.317444400._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941974
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 387600, 'diagramx': None, 'generators': [6706022400, 390565718839296000, 249693882197760000, 25986105040896000, 500473134120960000, 6270975513], 'label': '1216451004088320000.a.775200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '775200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '775200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941975
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [256096262141814360, 399530882, 134452637525617200, 1313938080722, 134452637525606401, 6405163411046421, 6405163455001113, 134452637565523200, 243649991852507520, 1313901388800, 243648677951078402, 122000787836928000, 243648678394201113, 134452637525607120, 6405163422342645, 371697466003724169, 122002101738317025, 243649991852467305, 134453951426995833, 378095736066048000, 371696152065638414, 6405163411127760], 'label': '1216451004088320000.a.317444400._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941976
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [6405163411057200, 1313938080722, 1313901388800, 371697465967027305, 371696152065638414, 256097744161459833, 122004885227910645, 134449854047308800, 256099045608807120, 6405163455001113, 6405163450963200, 134451155505961560, 371696152065638402, 399530882, 243647195920128225, 371697466003724169, 378095736066048000, 122004885216695760, 122004885659737113, 6405163411046401, 371697465967067520, 122004885216614421], 'label': '1216451004088320000.a.317444400._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941977
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [134452637525617200, 399530882, 1313938080722, 243647195920128225, 134452637525606401, 378099833445735120, 4097379767760, 243648677951078414, 134452637565523200, 243649991852507520, 1313901388800, 134452637569561113, 4097379686421, 134451155505961560, 243648677951078402, 4097822809113, 378098531998387833, 134449854047308800, 243649991852467305, 378095736066048000, 243649991889164169, 4097390982645], 'label': '1216451004088320000.a.317444400._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941978
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [2621619711513, 357001329484805, 4103606707200, 1482470398111, 121647890114151179, 359703856512000, 121649116837284151, 121649116837288374, 1482030950406, 121645187587123200, 122000787836968363, 122002269867879120, 122003409412684801, 2621615673600, 122000787836928631, 122003409449376805], 'label': '1216451004088320000.a.317444400._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941979
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [520098798214196813, 737006668880417938, 391971468784896000, 19583911937325787, 756590487170918400, 628521922136908800, 737006668657462936, 19583911918771200, 628521922151159720, 43545600, 756590487173867670, 155519103464524867, 19583911918771203, 622119636016306712, 40325913, 405132084208051688, 737006668672393029, 405132084474923770, 123490322347392016], 'label': '1216451004088320000.a.317444400._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941980
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [134452637525617200, 399530882, 1313938080722, 1307685664245, 134452637525606401, 378095742293068814, 134453945211279960, 1307674449360, 243649991852507520, 134452637565523200, 6270975513, 1313901388800, 243649985625446625, 243648677951078402, 243648678394201113, 134452637525607120, 1307674368021, 243649991852467305, 378097043777112969, 134453945199974400, 134453951426995833, 378095736066048000], 'label': '1216451004088320000.a.317444400._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941981
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [377741449717632513, 121646501488512000, 122000787843143190, 122003577585792000, 48, 359610451201106, 122003577542272464, 256094948229120004, 378095736393049104, 359610453060624, 122000787836928000, 256452036751833935, 121649023431951984, 378095736066048517, 2789705318400, 121646501528837913, 378095736066048000, 256094948229123039, 378098525771367031, 377743971661056020], 'label': '1216451004088320000.a.317444400._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941982
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [378097043740416014, 256097744161459201, 122004885216614505, 256097744161459833, 399530882, 256099045608807120, 1313938080722, 122003583769267202, 122004891443635425, 1307685664245, 122004885659737113, 256097744201376000, 256097737945743960, 122003577542246400, 122004885216654720, 1307674449360, 6270975513, 1313901388800, 256097744161470000, 1307674368021, 378097043777112969, 378095736066048000], 'label': '1216451004088320000.a.317444400._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941983
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [399530882, 1313938080722, 122004891443635425, 256094954456140801, 256096255903488720, 122000794063948802, 4097379767760, 256097737945743960, 2795976293913, 122003577542246400, 256094954496057600, 378099833482431369, 1313901388800, 4097379686421, 122002095511336320, 122002095511296105, 256094954456141433, 256094954456151600, 378099833445734414, 378095736066048000, 4097390982645, 122002095954418713], 'label': '1216451004088320000.a.317444400._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941984
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [853022230944756632, 385630736358067644, 147300363834624008, 14584585634565270, 891352781986867278, 526103732317364762, 891352781990179351, 244421345373004803, 43545600, 750881180880230400, 10080, 244421345373005162, 40325913, 147300363834624000, 526103732317366206, 647752581429051030, 736652288903731200, 621473557293388800], 'label': '1216451004088320000.a.317444400._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941985
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 387600, 'diagramx': None, 'generators': [4198926182, 445308402, 169983, 21038, 390565718839296000, 107, 122755315947264001, 363646717, 7, 1827, 4718258210, 249693882197760000, 1497953, 245733988, 6270975513, 25986105040896000, 51945092191, 122755322174284800, 366, 3, 6706022400, 42, 882207512], 'label': '1216451004088320000.a.775200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '775200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '775200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941986
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [891352781990179351, 769372923166849562, 6405076232755200, 891352781986867278, 507610595181035670, 621473557293388800, 750881180880230400, 40325913, 268966387033344008, 244421345373005162, 878905029710580632, 43545600, 10080, 244421345373004803, 878905029677875644, 526103732317366206, 147300363834624000, 769372923203182230], 'label': '1216451004088320000.a.317444400._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941987
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [865806142711910400, 391971468784896000, 123133321057824000, 3750, 59, 15713240, 369867183, 1142802, 40325913, 643, 768305854655539200, 43545600, 26798, 3, 12, 123133321017907201], 'label': '1216451004088320000.a.317444400._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941988
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [3991680, 89108667648000, 6491569551667200, 33544550545228800, 23712974208000, 5411760076800, 46233, 21425205086208000, 2877362611200], 'label': '1216451004088320000.a.317444400._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941989
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [4103606707200, 1482470398111, 122004804265344005, 4103606747574, 359703856512000, 122002101738317431, 122004804265344001, 121645100452786713, 1482030950406, 122004804302036005, 1482030951179, 122000875015219920, 121645100448748800, 121647721984624951, 121647721984588800, 122002101738357163], 'label': '1216451004088320000.a.317444400._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941990
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [2223480, 359703856512000, 327001104, 299, 405429545, 73, 33065289, 40325913, 16, 3649, 796554273715200, 1639, 2617449, 122440347015075360, 43545600, 25812883, 122440347008179200, 122004804312519840, 33068553, 1497624, 3, 16680, 1821770978227201], 'label': '1216451004088320000.a.317444400._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941991
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [3923067058713, 1313901388800, 358477133710236, 1401079680105, 1401119596800, 359791343931720, 2702527027202, 1401079680024, 180583627978, 3923052551710, 1313930817368, 357001329484821, 359791464050040, 4103606712148, 358477133414401, 321, 359791034804706, 2789705318400, 355868011699200], 'label': '1216451004088320000.a.317444400._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941992
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [33497480498630400, 23712974208000, 36074, 26556, 5411760076800, 2239634, 103, 33544550545228800, 7, 33497480495001601, 89108667648000, 21425205086208000, 3991680, 6491569551667200, 1509570, 36126, 46233, 20, 82, 4, 3032], 'label': '1216451004088320000.a.317444400._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941993
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [4103606707200, 121649116837288363, 359791034803979, 1313901388800, 122004804265344005, 121649116837284151, 121649116837248631, 122002269867879120, 122003409412684801, 357001768932511, 122004804309298713, 2789705358774, 121647721984588800, 122003409449376805, 357001329484806, 122004804305260800], 'label': '1216451004088320000.a.317444400._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941994
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [11, 647752581392716800, 10920, 275345396957030400, 290033553, 3311433, 3438, 43545600, 1855560, 12, 107, 507587063266483200, 6940953, 40325913, 27689265, 488025562435488000, 566, 3, 36129, 1665, 392, 684], 'label': '1216451004088320000.a.317444400._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941995
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [23712974208000, 36074, 26556, 21425036956646401, 5411760076800, 2239634, 103, 33544550545228800, 7, 89108667648000, 21425205086208000, 3991680, 6491569551667200, 1509570, 36126, 46233, 20, 21425036960275200, 82, 4, 3032], 'label': '1216451004088320000.a.317444400._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941996
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '2280.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': 1140, 'diagramx': None, 'generators': [93928268313, 22230464256000, 128047474114560000], 'label': '1216451004088320000.a.2280.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2280.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941997
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 155040, 'diagramx': None, 'generators': [93928268313, 21009968179200], 'label': '1216451004088320000.a.930240._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941998
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [19627146603210356, 14940185881425245, 19625664093235200, 7893134939289995, 32410796389171200, 62943205248000, 3991680, 2877362611200, 45596257625318446, 46233, 25693286093798400, 33479340704435741, 44884789363814412, 14666876191261593, 6865477721625604, 25714208404705198, 1800941593651200, 2156629500748800], 'label': '1216451004088320000.a.317444400._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11941999
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [7114010575795201, 355949441974803, 13516122267648000, 19939606052889613, 355687431724800, 6423383677219353, 19939418763264000, 186810624000, 93405312000, 355861784678421, 7113748561950363, 13516297103236473, 13516383802522233, 19583731814170227, 6423296977203993, 274467916800, 12933043224, 6423390379934640, 13516296628268313, 355948962969600, 19583999576064003], 'label': '1216451004088320000.a.317444400._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '317444400.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '317444400._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942000
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27713400, 'diagramx': None, 'generators': [373701083925, 36152, 104615386510896, 12497589057, 43545637, 518918600, 150582854822400, 141, 79833615, 6310484774, 274986835200, 79836018, 15, 4, 4110312729600], 'label': '1216451004088320000.a.332560800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '332560800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332560800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942001
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 55426800, 'diagramx': None, 'generators': [378095736066093360, 119, 122001230474323200, 378095736066048015, 256094948229151560, 378095736066048003, 873, 378095736066048052, 122000787836928000, 378095736066048225, 378095736066048000, 378097069689964800, 122000787836928240, 1307674408320], 'label': '1216451004088320000.a.332560800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '332560800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332560800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942002
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [378095736066048012, 42, 378099841193222400, 122002095511336320, 16144, 378095736066048003, 873, 243647195920128000, 378095917128652800, 19, 378095736066048000, 381, 45360], 'label': '1216451004088320000.a.332560800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '332560800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332560800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942003
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [243645888245800320, 378095736066093360, 122000787836928019, 378099752973465600, 256094948229120107, 378095736066048003, 873, 122000787836928000, 256094948229120710, 378095736066048000, 366, 378103932266054400, 256094948229130953], 'label': '1216451004088320000.a.332560800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '332560800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332560800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942004
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [122000787836928000, 355687428136320, 356995102464000, 1401602227200, 122000787836974233], 'label': '1216451004088320000.a.332560800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '332560800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332560800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942005
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [378095736066048012, 42, 378099841193222400, 378097043740456320, 16144, 378095736066048003, 873, 243647195920128000, 378095917128652800, 19, 378095736066048000, 381, 45360], 'label': '1216451004088320000.a.332560800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '332560800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332560800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942006
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [378095736066048012, 42, 378099841193222400, 122002095511336320, 6403681380096000, 16144, 378095736066048003, 873, 378095917128652800, 19, 378095736066048000, 381, 45360], 'label': '1216451004088320000.a.332560800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '332560800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332560800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942007
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [256095048340454400, 256094948229120059, 378095736066093360, 122005147313952000, 378095736066048020, 122000787836928008, 122000787836928074, 378095736066048003, 873, 122000787836928000, 121646408083200000, 378095736066048000, 378095736066048588, 256094948229130953], 'label': '1216451004088320000.a.332560800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '332560800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '332560800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942008
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232560, 'diagramx': None, 'generators': [93405312000, 6423296495616000, 522956313], 'label': '1216451004088320000.a.930240._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942009
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [243290201295716368, 62774596684800, 22404820838914, 45949221047672, 243312605638523434, 128069878940524800, 243312605638502403, 128093423301043238, 128047474114560000, 45949186483831, 40325913, 22404820838407, 243290200817664744, 128047474158105600, 128110248711248528, 243377821228837680], 'label': '1216451004088320000.a.338607360._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '338607360.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '338607360._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942010
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [128051571980010336, 128115473660836290, 243290200817664395, 128047474117509152, 128051496770031144, 128047474114560130, 243290200817664510, 128047474114583262, 1494998559386, 243290200817664007, 128047748587603200, 128047474114560336, 243294223473100911, 243291695783155712, 128047748582476800, 128047474114560000, 1308153508290, 243290200817664003, 4022655437791, 20], 'label': '1216451004088320000.a.338607360._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '338607360.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '338607360._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942011
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [12807637228125024, 12804840817088944, 12804754117478411, 6758061133824510, 12804759865497603, 12807462875957990, 12804759865520606, 6758067839846673, 247419, 6758154540434951, 6758073587865891, 12804747411456020, 6758061133824000, 4, 2588], 'label': '1216451004088320000.a.338607360._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '338607360.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '338607360._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942012
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174594420, 'diagramx': None, 'generators': [1174320, 38797478521401600, 180623520000, 518918400, 818224, 34190628861312000, 2510747240601600, 2615348736000, 128047474114560000, 8558822622873600, 642438274191436800, 12454041600, 12972960000, 806400, 1181105, 122023112225414400, 2156536095436800], 'label': '1216451004088320000.a.349188840._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '349188840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '349188840._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942013
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174594420, 'diagramx': None, 'generators': [980003876690361600, 7, 362881, 38793475026028800, 93926650009, 430, 391081, 736654830526137600, 7224980808, 745170412200099856, 40008, 5041, 2722166093497, 959177536, 13413669257, 2787719, 121, 2513718011790017, 128425485931142710], 'label': '1216451004088320000.a.349188840._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '349188840.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '349188840._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942014
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174594420, 'diagramx': None, 'generators': [980003876690361600, 7, 362881, 38793475026028800, 93926650009, 430, 128425485931954144, 391081, 736654830526137600, 7224980808, 745170412200099856, 40008, 5041, 2722166093497, 959177536, 13413669257, 2787719, 121, 2513718011790017], 'label': '1216451004088320000.a.349188840._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '349188840.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '349188840._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942015
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120931200, 'diagramx': None, 'generators': [2184, 1497864, 26575369, 33084353, 285, 327001104, 36126, 31088, 40325913, 6423383673907201, 78, 297658538, 43545600, 19, 6423383713824000, 25841805, 3, 29434470, 33080244714316800], 'label': '1216451004088320000.a.362793600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '362793600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '362793600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942016
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 181396800, 'diagramx': None, 'generators': [63029904538188, 26680754633013651, 127170, 11, 23712974436480, 31380, 2155315621297581, 2155315602759701, 1491022768654761, 399, 63029904538305, 23712974433148, 442267928259246, 23712974239004, 4], 'label': '1216451004088320000.a.362793600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '362793600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '362793600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942017
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 181396800, 'diagramx': None, 'generators': [11433, 81, 10372, 2072, 1140784, 103, 774230404147200, 3991680, 15, 447, 46233, 29199, 442087820697600, 3], 'label': '1216451004088320000.a.362793600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '362793600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '362793600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942018
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 362793600, 'diagramx': None, 'generators': [4860, 5912, 609334584264806400, 404418094003123200, 1140784, 288, 7176516931584000, 125, 103, 3991680, 19, 395, 46233, 4431, 757343707606886400, 872526287516083200, 4], 'label': '1216451004088320000.a.362793600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '362793600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '362793600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942019
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1007760.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': 1007760, 'diagramx': None, 'generators': [6402373745644800, 6402373749682713, 6780385003392000, 12827071281024000], 'label': '1216451004088320000.a.1007760.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1007760.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1007760.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942020
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31177575, 'diagramx': None, 'generators': [608603420063882880, 32160, 512588737180759680, 121645100408859941, 737361048451466880, 127371720, 507587063393854080, 729934678624394880, 640991985988798080, 127370880, 40300950, 40279680, 3032, 32389786461271680, 40284863, 87092240, 40279736, 2615435827200, 127371272, 3420], 'label': '1216451004088320000.a.374130900._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942021
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62355150, 'diagramx': None, 'generators': [442601107200, 122000787836961467, 122000787836930361, 256094948229120000, 4129037700480, 122000787836931746, 378097225764652800, 122012000657971200, 256095217471927680, 378095737506681600, 256094948229137193, 122000787836928074, 122000787836947090, 378100113708844800, 378095736066048000, 122008997013886080, 6674], 'label': '1216451004088320000.a.374130900._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942022
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [104620695379200, 2259849076531200, 368793, 2224709998156800, 367920, 355687468012800, 27555085958400, 376610217984000, 735181235712000, 123510124752901510, 123888111142118400, 2491213595270400, 1588888224000], 'label': '1216451004088320000.a.374130900._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942023
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [122000819451033600, 122010028735795200, 122000787840919680, 122000789752934400, 121657714832465280, 122000787836928015, 122000787836928096, 122000787836928624, 122000787836928003, 122000787836932320, 122000787836928000, 122000787920753280, 122000787836964000, 8, 122000787880473600, 122001310906675200], 'label': '1216451004088320000.a.374130900._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942024
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [122000819451033600, 122010028735795200, 122000787840919680, 122000789752934400, 122000787836928015, 122000787836928096, 122000787836928624, 122000787836928003, 122000787836932320, 122000787836928000, 11212821043200, 122000787920753280, 122000787836964000, 1401602595993, 8, 122000787880473600, 122001310906675200], 'label': '1216451004088320000.a.374130900._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942025
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [121645100409194880, 121728979337374080, 270, 4016468332800, 7, 3923063020800, 121651726478244480, 123444648108190080, 1284281194416963199, 121645107634135680, 121645112863236480, 2877881529600, 36000, 20, 336, 121645101367198080, 4, 121645100409195385, 4320], 'label': '1216451004088320000.a.374130900._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942026
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [40310790, 40311538, 40310768, 878633039636352000, 40301215, 1486825756416000, 87458068, 41845579776000, 121645100408859941, 371737910467123200, 40315888, 40279680, 36544, 244379580744499200, 62855547955200], 'label': '1216451004088320000.a.374130900._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942027
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 93532725, 'diagramx': None, 'generators': [121645100409194880, 121728979337374080, 4016468332800, 270, 7, 1406255914986819199, 3923063020800, 121651726478244480, 123444648108190080, 121645107634135680, 121645112863236480, 2877881529600, 122023112225783193, 36000, 20, 336, 121645101367198080, 4, 121645100409195385, 4320], 'label': '1216451004088320000.a.374130900._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942028
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 187065450, 'diagramx': None, 'generators': [15240, 2241534969273600, 85092718233600, 37780, 461702936217600, 106009281100800, 1953, 368793, 2161772540928000, 15984, 1405926294825432319, 19811, 1909467070156800, 12454041600, 1888642954598400, 35044, 36129, 122023112225414400, 99], 'label': '1216451004088320000.a.374130900._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942029
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 187065450, 'diagramx': None, 'generators': [40282608, 87115731, 763391614420874880, 43914393, 40279824, 852228478797696000, 87093384, 127370880, 87117309, 87092880, 87091326, 851893714286858880, 154390667790602880, 87103704, 364999557981502080, 87126352, 40279680, 372825895581578880, 38771330869514880], 'label': '1216451004088320000.a.374130900._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942030
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1085280.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': 542640, 'diagramx': None, 'generators': [19583818543685160, 44460928512587, 41845579776055, 358389955123200, 22230464276260, 62855547966335, 64076044043811, 62855549712732, 26007115162191327, 2615348762068, 43240435390185, 19606049174490033, 107, 2615348752040, 33078930814072344, 78, 13160523663326016, 19, 13516122303715767, 13203588093698184, 3, 1394852659281], 'label': '1216451004088320000.a.1085280.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942031
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 187065450, 'diagramx': None, 'generators': [15240, 2241534969273600, 121645100408837913, 85092718233600, 37780, 461702936217600, 106009281100800, 1953, 2161772540928000, 15984, 1405926294825432319, 19811, 1909467070156800, 12454041600, 1888642954598400, 35044, 36129, 378011816945280, 99], 'label': '1216451004088320000.a.374130900._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942032
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 187065450, 'diagramx': None, 'generators': [40310790, 40311538, 40310768, 878633039636352000, 40301215, 39920788, 1486825756416000, 41845579776000, 371737910467123200, 40315888, 40279680, 121645100536230821, 36544, 244379580744499200, 62855547955200], 'label': '1216451004088320000.a.374130900._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942033
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 187065450, 'diagramx': None, 'generators': [2803204454400, 20366541625113, 2709276958080, 371018233162959, 11212821043200], 'label': '1216451004088320000.a.374130900._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942034
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 187065450, 'diagramx': None, 'generators': [125160040893555223, 44648776972800, 11824, 121645100408862103, 10953, 43247182003200], 'label': '1216451004088320000.a.374130900._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942035
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 187065450, 'diagramx': None, 'generators': [122003515791319680, 122000787836930326, 10472, 5760, 1394852659200, 30992, 122000787836939311, 122003422389273600, 122000787836928000, 5381, 7933747046400, 122010410028326400, 39556, 122001056204832000, 256096349831715993, 122002109888964480, 12614423639193], 'label': '1216451004088320000.a.374130900._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '374130900.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '374130900._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942036
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 188115200, 'diagramx': None, 'generators': [6469333339395750, 776843586358967554, 41852285799032, 1020153389838110075, 513367077858497584, 6491557097627166, 898534703972505600, 3991680, 128047474114560000, 628587574096204800, 892105928177599023, 12454041600, 770487236563968030, 506897744517964812, 46233, 628567952274662404, 41858033817600], 'label': '1216451004088320000.a.376230400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '376230400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '376230400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942037
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 188115200, 'diagramx': None, 'generators': [190, 116, 1017, 1020200740107897600, 243290213271705600, 3991680, 1020200740104268801, 12454041600, 46233, 19, 22242918297600, 20, 634969025012044800, 3, 35304, 2247000, 632, 94], 'label': '1216451004088320000.a.376230400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '376230400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '376230400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942038
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 188115200, 'diagramx': None, 'generators': [190, 116, 1017, 243290213271705600, 3991680, 12454041600, 46233, 249735734004556801, 19, 22242918297600, 20, 634969025012044800, 3, 35304, 2247000, 249735734008185600, 94, 632], 'label': '1216451004088320000.a.376230400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '376230400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '376230400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942039
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '380933280.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': 380933280, 'diagramx': None, 'generators': [256094948229851672, 256094948229130923, 256094948229120000, 256094948229145954, 256094948232098736, 122000787836930991, 12, 256095047861452801, 3991680, 99635961600, 378095736066048635, 378095736066048510, 122000787836928000, 121647983998464000, 4184557977600, 256094948229166233, 1320607411200, 771960, 3, 18753, 256094948229120104], 'label': '1216451004088320000.a.380933280.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '380933280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '380933280.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942042
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 387987600, 'diagramx': None, 'generators': [365290988654995200, 378095736066376532, 134452731928838400, 365290988657159340, 256094948229120000, 128047474114560000, 250052197468550400, 6758061134152419, 256094948229120071, 256096442754028800, 128047474114560107, 134449847820697113, 134805535248752793, 256094948229120240, 134805535248698609, 134805535248384023, 371337868009785600, 3, 371337674932245038, 378095736066048000, 365290988657581592, 6763479599923200], 'label': '1216451004088320000.a.387987600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '387987600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '387987600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942043
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '390700800.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': 77520, 'diagramx': None, 'generators': [606, 1135352, 518918400, 81, 403205913, 31113, 3322623, 1586912, 20, 4037913, 1345653, 4, 3753, 721, 632, 772851], 'label': '1216451004088320000.a.390700800.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '390700800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '390700800.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942044
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 99768240, 'diagramx': None, 'generators': [378095755233372861, 19562810508824132, 364956759547465764, 711374856192003, 19562839800149548, 6423582942233749, 6423296502873625, 12, 19562810461288052, 6423296502877380, 19939418883377288, 505808447581787580, 64, 4, 7134671351808003], 'label': '1216451004088320000.a.399072960._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '399072960.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '399072960._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942045
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 399072960, 'diagramx': None, 'generators': [6403681380096000, 263210004465408000, 47249834400, 3868, 14370773760, 122002155814692777, 79833600, 48], 'label': '1216451004088320000.a.399072960._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '399072960.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '399072960._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942046
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 399072960, 'diagramx': None, 'generators': [53476854480, 25631725287168000, 6402413144292635, 873, 19604654125056000, 6749971200], 'label': '1216451004088320000.a.399072960._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '399072960.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '399072960._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942047
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8817900, 'diagramx': None, 'generators': [2789705318400, 3929293670400, 174356582400, 2789745644313, 4103606707200], 'label': '1216451004088320000.a.423259200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942048
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [4103606707200, 12807537153108633, 1313901388800, 6759375035212874, 4103650252800, 12807537116811053, 6759375038162073, 6759375035212804, 2789745644313, 12804747411457232, 12804747411456012, 6762164740542512, 1313901392402, 1313901388811, 6758061133824000, 12808851018172587, 632, 12804747439853090], 'label': '1216451004088320000.a.423259200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942049
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [6758067840618393, 6423558509491304, 711387310251332, 174356582400, 6423558509537433, 13181538692044804, 87657292800, 19228218263665320, 274467916800, 711561666816012, 13516396739556480, 13181538692076009, 19939418763264000, 6758242196429288, 13516122267648000, 6423558509491536, 376616924006400, 6423296495616055], 'label': '1216451004088320000.a.423259200._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942050
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [1113005243775161, 1863436263707790, 1313901388800, 756010141290172, 756010141286766, 1862134527052912, 356995102464000, 1111703796403226, 43545600, 1313901396886, 756010143880131, 1111703798270492, 14250547, 40325913, 1862134527052800, 1113005249965590, 757324042675208, 756010141286404], 'label': '1216451004088320000.a.423259200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942051
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [14560560, 122776419320755201, 13159121, 4, 285, 122776419364709913, 33175, 35442, 40325913, 37, 122776419328421913, 2586912, 43545600, 3002, 122440347008179200, 32676, 15, 12, 1137752, 1824205743360000], 'label': '1216451004088320000.a.423259200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942052
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [22237170278400, 1110215538432000, 121646408083200000, 356995102464000, 1068376229631513, 376610217984000], 'label': '1216451004088320000.a.1162800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1162800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1162800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942053
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [4103606707200, 6760676485509273, 1313901388800, 6760676482560004, 4103650252800, 6760676482560074, 2789745644313, 12804921768038412, 1313901392402, 12807456165513387, 12804921768039632, 1313901388811, 6758154539136000, 6759549391806512, 12806142300449433, 632, 12804921796435490, 12806142264151853], 'label': '1216451004088320000.a.423259200._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942054
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 70543200, 'diagramx': None, 'generators': [93405312000, 87218208000, 87222245913, 21103708977858], 'label': '1216451004088320000.a.423259200._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942055
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [128090633610651061, 4, 128047474154885913, 249777747739705080, 6466630370070404, 43159481164800, 43545600, 121709357036467200, 243333360328268312, 249756831151027706, 6466630333399347, 43159481165910, 243290200841331867, 243333360298859910, 43159483388318, 121730273599334474, 128090634002559512, 128047474114560019, 243290200817664000], 'label': '1216451004088320000.a.423259200._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942056
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [128047474114560116, 4, 128047474154885913, 128047474114560015, 391323312, 128047474114560000, 128133786893823513, 128047474121138072, 243290200817664007, 21103373491200, 21030, 243376513552972801, 243290200817664521, 128047474117512779, 43545600, 243290200817680044, 128047474115693089, 128047474114561639, 128047474142957090, 128047474114560086, 1136315, 2357], 'label': '1216451004088320000.a.423259200._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942057
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [122440347008179200, 16, 5489400, 21030, 3632, 161882334117504000, 38557713, 33910, 2949273, 43545600, 20312, 40325913, 31114, 872526287516083200, 4, 8, 632, 104, 24053], 'label': '1216451004088320000.a.423259200._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942058
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [21016195200005, 93405312000, 6402548062310401, 6402373706071713, 6423296495616019, 21097146470505, 6402548062350720, 6402373705728120, 6423296495652129, 6423389900928000, 6402373705729560, 6402373749682713, 93441962881, 6402373705728021, 6423470852400120, 6423389900974344, 20922829804800], 'label': '1216451004088320000.a.423259200._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942059
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [93405312000, 6402554329657113, 174400128000, 6402379932748800, 21009968179200], 'label': '1216451004088320000.a.423259200._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942060
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [93405312000, 6227020920, 6423302762553600, 6423296495616019, 6227022360, 6227020821, 6423296495652129, 6423389900928000, 93441962881, 87178291201, 6270975513, 87178331520, 6227364513, 6423470852400120, 6423389900974344, 6423477079219205, 6423383673907305], 'label': '1216451004088320000.a.423259200._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942061
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [359791078757913, 358477151967752, 1313901388800, 6758061133824395, 13164538446259254, 12806061349581481, 6758061148751965, 6406477352352000, 13164538889381913, 12806061672459006, 358477133414401, 358477133414505, 13164538446259205, 6758061133824000, 12806061716050713, 13164538446264240, 12806061312930600, 359791034803379, 6759375035214365, 6406477312435206, 12804747419203592], 'label': '1216451004088320000.a.423259200._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942062
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [36334233, 1113011470771201, 3728, 4, 3312147, 4467, 26289, 40325913, 31620, 21025, 393883200, 43545600, 392, 1113011514725913, 756010141286400, 11, 99, 1509230577254400, 20304, 32735764, 1508332], 'label': '1216451004088320000.a.423259200._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942063
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [711374856192356, 22291213680007, 122755315947264006, 22230464256015, 56569056522, 1110215540288726, 122043947318092800, 356995102464000, 1110215539566950, 122356475267612081, 376610217984000, 122713470367488001, 22230484689768, 376610221446024, 122043941092595433, 122713470367488176, 733605320448995, 122043947841049113, 112, 1110215538432000, 41845616471304, 122043941091072002, 22231465815614], 'label': '1216451004088320000.a.1162800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1162800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1162800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942064
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [732391530393600, 355774606387200, 711374860229913, 355687431724800, 376610217984000], 'label': '1216451004088320000.a.423259200._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942065
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [6578072, 36595, 22186224, 1143056, 780633, 609691492228896000, 609, 635342745413376000, 744139945156608000, 43545600, 103, 12, 710, 2617314, 21138624, 40325913, 2031, 3, 632], 'label': '1216451004088320000.a.423259200._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942066
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [274467916800, 12454041600, 87657292800, 20923268889600, 21009972170880, 711374856192000, 121645113341921433, 121645100887833600], 'label': '1216451004088320000.a.423259200._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942067
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [20929016908819, 93405312000, 6402548062310401, 6423302762553600, 6402373706071713, 21009968179200, 20929016944929, 6402548062350720, 21009968380920, 6402373705728120, 6402373705729560, 6402373749682713, 93441962881, 6402373705728021, 21103373537544, 6423477079219205, 6423383673907305], 'label': '1216451004088320000.a.423259200._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942068
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [732298129119513, 122377578638515224, 711374856192000, 122356562922321840, 376697875279118, 355693655152082, 122021891689420802, 20923268889600, 87657292800, 274467916800, 122377578638515464, 12454041600, 121666023681350400, 174356582420, 711381565525826, 21016710529922, 122021891689420801, 122356662076414080], 'label': '1216451004088320000.a.423259200._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942069
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [122377398058949913, 122377578638515224, 711374856192000, 376697875279118, 87657292800, 274467916800, 122000800291004882, 711462034488240, 122377578638515464, 12454041600, 711648845873280, 121666023681350400, 121666023198720000, 711381565525826, 174356582420, 376878458880002, 121666123346382722, 376878458880001], 'label': '1216451004088320000.a.423259200._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942070
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [122377398058949913, 711374856192000, 20922793516800, 122356562922321840, 376697875279118, 122021891689420802, 87657292800, 274467916800, 122000800291004882, 732565407974664, 12454041600, 121666023198720000, 711381565525826, 174356582420, 122021891689420801, 122356662076414080, 121666123346382722, 732565407974424], 'label': '1216451004088320000.a.423259200._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942071
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [122000875015223673, 122021804076082713, 122000875015219206, 121666029425745840, 121666029425744552, 121666029425740801, 355774606387220, 122377578638842952, 122356649658303513, 732478229683230, 122377578638803617, 122377578638515350, 122021804072044800, 122377578671542472, 122000875015219202, 121666029462396870, 122000875015219712, 38, 121645100408917680, 20929016908800, 711549212774400, 122356649621606414, 122021804471575830], 'label': '1216451004088320000.a.423259200._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942072
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [123134628694135080, 1824205743362340, 1131318911923234, 5489400, 122398327071820800, 40325913, 1803463537075200, 64250400614567, 122087268721513656, 64250400614407, 43545600, 123134628692311373, 29438790, 1824205952107560, 122398327486344222, 64250400614423, 122398327071820803, 1824205743360000, 25903, 122087268704770747], 'label': '1216451004088320000.a.423259200._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942073
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [14560560, 122776419320755201, 13159121, 4, 285, 122776419364709913, 33175, 35442, 40325913, 37, 122087268701798400, 122776419328421913, 2586912, 43545600, 3002, 32676, 15, 12, 1137752, 1824205743360000], 'label': '1216451004088320000.a.423259200._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942074
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [6706022400, 122000787836928000, 121646408083200000, 634190684295168000, 6270975513, 634589524977408000], 'label': '1216451004088320000.a.1162800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1162800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1162800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942075
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [14560560, 13159121, 4, 285, 122755315947264001, 33175, 35442, 40325913, 37, 122087268701798400, 2586912, 122755315991218713, 43545600, 3002, 122755315954930713, 32676, 15, 12, 1137752, 1824205743360000], 'label': '1216451004088320000.a.423259200._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942076
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [711374856192000, 355874239486080, 20922793516800, 122021711109855513, 376697875279118, 122000875015224240, 87657292800, 274467916800, 121645194329473922, 711387310268882, 121645361943705620, 122377578638515464, 12454041600, 122377666295808002, 711381565525826, 122377666295808001, 732565407974424, 121645100887833600], 'label': '1216451004088320000.a.423259200._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942077
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [122021978388710664, 711374856192000, 122356562922321840, 122021711109855513, 376697875279118, 122021891689420802, 87657292800, 482630400, 274467916800, 121645194329473922, 711387310268882, 121645361943705620, 376790801587224, 12454041600, 711648845873280, 711381565525826, 122021891689420801, 121645100887833600], 'label': '1216451004088320000.a.423259200._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942078
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [3991680, 121647802935859200, 128047474114560000, 104882190336000, 43153733145600, 243290200817710233, 5330808806400, 2703006028800], 'label': '1216451004088320000.a.423259200._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942079
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [243290200817666280, 243290200817683846, 249697905332198401, 243290200817664104, 128047474114560025, 128047474114560004, 128047474115700784, 104882190336000, 243290200817710233, 12, 3991680, 36226, 243290200817664015, 6407704518163200, 128047474114560000, 2703006028800, 121647802935859200, 164, 43153733145600, 5834, 3750], 'label': '1216451004088320000.a.423259200._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942080
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [243290200817666280, 243290200817683846, 6402373709356800, 243290200817664104, 128047474114560025, 128047474114560004, 128047474115700784, 104882190336000, 243290200817710233, 12, 3991680, 36226, 243290200817664015, 128047474114560000, 2703006028800, 121647802935859200, 164, 249692574523392001, 43153733145600, 5834, 3750], 'label': '1216451004088320000.a.423259200._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942081
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [243290200817666280, 121650430738636800, 243290200817683846, 249697905332198401, 243290200817664104, 128047474114560025, 128047474114560004, 128047474115700784, 104882190336000, 243290200817710233, 12, 3991680, 36226, 243290200817664015, 6407704518163200, 128047474114560000, 2703006028800, 164, 43153733145600, 5834, 3750], 'label': '1216451004088320000.a.423259200._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942082
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [243290200817666280, 121650430738636800, 243290200817683846, 6402373709356800, 243290200817664104, 128047474114560025, 128047474114560004, 128047474115700784, 104882190336000, 243290200817710233, 12, 3991680, 36226, 243290200817664015, 128047474114560000, 2703006028800, 164, 249692574523392001, 43153733145600, 5834, 3750], 'label': '1216451004088320000.a.423259200._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942083
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [128050176645216000, 128047474114560025, 5330808806400, 3750, 243290200817664104, 128047474114560000, 2703006028800, 104882190336000, 243290200817666280, 36226, 128047474114560004, 5834, 164, 43153733145600, 243290200817683846, 243290200817710233, 243292903344691201, 3991680, 12, 243290200817664015, 128047474115700784], 'label': '1216451004088320000.a.423259200._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942084
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 211629600, 'diagramx': None, 'generators': [243290200817666280, 243290200817683846, 6402373709356800, 243290200817664104, 128047474114560025, 128047474114560004, 128047474115700784, 104882190336000, 243290200817710233, 5330808806400, 12, 3991680, 36226, 243290200817664015, 128047474114560000, 2703006028800, 164, 249692574523392001, 43153733145600, 5834, 3750], 'label': '1216451004088320000.a.423259200._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942085
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [121646408083200000, 4, 285, 2615449, 211251, 377740054864972800, 15982, 3088, 3806, 1071826, 5752057113, 6270975513, 634190684295168000, 39901, 363289104, 122000787836928000, 328353, 81, 3312100, 377740048637952001, 6706022400, 1883949, 4863, 25156351652], 'label': '1216451004088320000.a.1162800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1162800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1162800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942086
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 423259200, 'diagramx': None, 'generators': [4982, 4442, 56, 771993, 6487559384158530, 68267308032000, 25113574886400, 5120, 83958921446400, 3991680, 391, 46233, 20, 20935722931200, 26168, 635, 4, 6402473850948932], 'label': '1216451004088320000.a.423259200._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942087
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 423259200, 'diagramx': None, 'generators': [89195845939201, 6600, 623206400187571200, 11, 883569678984115200, 89195849568000, 776889604042675200, 17986, 26245, 3991680, 128069711284838400, 1509570, 631, 11894, 78, 46233, 18328, 1013751028107417600, 4450, 3], 'label': '1216451004088320000.a.423259200._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '423259200.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '423259200._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942088
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 221707200, 'diagramx': None, 'generators': [12808939713329343, 12811647429852258, 12804747455027750, 274072406269, 12804747491289645, 12804748413016307, 12804772399373396, 6403681380096000, 21041, 193560208439, 12804747411456260, 12804747491289696, 79844543, 6758061133824469, 12804747411456015, 12804747894117902, 6758061133824081, 6758061133824000, 4], 'label': '1216451004088320000.a.443414400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '443414400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '443414400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942089
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 221707200, 'diagramx': None, 'generators': [12808939713329343, 12811647429852258, 12804747455027750, 274072406269, 12804747491289645, 12804748413016307, 12804772399373396, 21041, 193560208439, 12804747411456260, 12804747491289696, 79844543, 6758061133824469, 12804747411456015, 12804747894117902, 6758061133824081, 6758061133824000, 4, 12806055085864320], 'label': '1216451004088320000.a.443414400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '443414400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '443414400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942090
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 221707200, 'diagramx': None, 'generators': [12808939713329343, 12811647429852258, 12804747455027750, 274072406269, 12804747491289645, 12804748413016307, 12804772399373396, 21041, 193560208439, 12804747411456260, 12804747491289696, 79844543, 6758061133824469, 13160434839592320, 12804747411456015, 12804747894117902, 6758061133824081, 6758061133824000, 4], 'label': '1216451004088320000.a.443414400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '443414400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '443414400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942091
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 443414400, 'diagramx': None, 'generators': [36152, 1866231946656000, 2294930, 6780385003392000, 368793, 403200, 45989874316108800, 288153, 278, 401456030976000, 3, 8, 632, 104], 'label': '1216451004088320000.a.443414400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '443414400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '443414400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942092
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 38798760, 'diagramx': None, 'generators': [378095736066236070, 256094948229120000, 256094948229488793, 122000787836939190, 378095736066048200, 378095736066048081, 15, 378095736069345661, 378095736066048000, 378095736066099120, 378095736066451200, 3, 256094948229136328, 256096268836531200, 6819585696000, 122000787836928045], 'label': '1216451004088320000.a.465585120._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942093
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58198140, 'diagramx': None, 'generators': [13516122351473336, 753221953169384, 6758061181400407, 41845583767743, 25609494830169607, 378848975749210406, 356995102464023, 262875241304121885, 23, 13203589131533240, 390900484558899278, 1068369962647688, 621408167914452062, 13516122315187815, 4, 8, 22230471513600, 3991703], 'label': '1216451004088320000.a.465585120._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942094
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [256094948229120517, 1721502, 256094948229120000, 256094948229120068, 256094948229120038, 368793, 256094948229523200, 128403161543065113, 256101487598880000, 256095141306681600, 66390, 20, 3, 256094948229146064, 513, 3015656], 'label': '1216451004088320000.a.465585120._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942095
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [181581523784, 6900018050235, 122000787836928023, 268280812803, 5324103115696, 1327313761506, 267761896703, 1308153578772, 6545118790259, 122000788794931200, 122000787836928003, 355687428505113, 122000787836928000, 122007332958325174, 122001137510685803, 122001143256115705, 1308156929889], 'label': '1216451004088320000.a.465585120._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942096
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [121646408083200000, 4, 285, 2615449, 211251, 15982, 3088, 3806, 1071826, 5752057113, 6270975513, 634190684295168000, 378850264176384001, 39901, 363289104, 122000787836928000, 328353, 81, 3312100, 6706022400, 1883949, 4863, 25156351652, 378850270403404800], 'label': '1216451004088320000.a.1162800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1162800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1162800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942097
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [181581523784, 6900018050235, 121646502007430400, 122000787836928023, 268280812803, 5324103115696, 1327313761506, 267761896703, 1308153578772, 6545118790259, 122000788794931200, 122000787836928003, 122000787836928000, 122007332958325174, 122001137510685803, 122001143256115705, 1308156929889], 'label': '1216451004088320000.a.465585120._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942098
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [181581523784, 6900018050235, 122000787836928023, 268280812803, 5324103115696, 1327313761506, 267761896703, 1308153578772, 6545118790259, 122000788794931200, 122000787836928003, 122000787836928000, 122007332958325174, 122001137510685803, 122001143256115705, 122002189435935513, 1308156929889], 'label': '1216451004088320000.a.465585120._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942099
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [256094948229120521, 26124, 128404563141254400, 256094948229141000, 256094948229120081, 11, 256094948229120000, 368793, 403, 268806, 256094948229523200, 5330808806400, 256094948229181344, 6819066777600, 3, 36229], 'label': '1216451004088320000.a.465585120._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942100
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116396280, 'diagramx': None, 'generators': [122000787839585823, 368793, 1308672288000, 122000787836958988, 122004892401638400, 286, 122000787836928000, 122000787836928059, 328484, 122000787837256837, 122000787837191583, 4, 122000787837331200, 36151, 8, 378097137665055513], 'label': '1216451004088320000.a.465585120._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942101
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [19939418763264103, 6423316174598511, 13181463489530650, 711394016558268, 19939505941964313, 12804747411456167, 20975, 376610217984000, 6423296495616000, 12804766132438962, 376610217984011, 7134691030807968, 12804747411457673, 19939418763264000, 13181358587443278, 376977652128230, 7134671351808003], 'label': '1216451004088320000.a.465585120._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942102
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [19939418763264103, 6423316174598511, 13181463489530650, 711394016558268, 12804747411456167, 13160434839961113, 20975, 376610217984000, 6423296495616000, 12804766132438962, 376610217984011, 12804747411457673, 7134691030807968, 19939418763264000, 13181358587443278, 376977652128230, 7134671351808003], 'label': '1216451004088320000.a.465585120._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942103
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [2262544937897063, 5823, 12972960016, 268280812890, 10083, 32389873639931557, 106378282096, 1888463369409131, 1326874435203, 958003220, 38794782660490122, 19, 2408280, 5244109526966, 3, 46287923960688557], 'label': '1216451004088320000.a.465585120._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942104
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [2262544937897063, 5823, 12972960016, 6402373708913239, 268280812890, 10083, 32389873639931557, 106378282096, 1888463369409131, 362904, 1326874435203, 958003220, 38794782660490122, 19, 5244109526966, 3, 46287923960688557], 'label': '1216451004088320000.a.465585120._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942105
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [274305, 551, 368793, 31380, 56280, 86, 7, 403200, 357089026694400, 15, 169, 64, 16065, 3, 4028922374400, 4291375334400, 122002189435935513], 'label': '1216451004088320000.a.465585120._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942106
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [365296313715379216, 122000787836929696, 12806161464505113, 371337681199161600, 128047830056179283, 122003752417749080, 128047749101398247, 128047474114560011, 134805541515321693, 122000787836928000, 243290200817664003, 355938144445, 256097651235487901, 378095736066048000, 256094948229123835, 243290200817664000], 'label': '1216451004088320000.a.465585120._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942107
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '3420.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': 3420, 'diagramx': None, 'generators': [22324392524313, 6423296495616000], 'label': '1216451004088320000.a.3420.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3420.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3420.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942108
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1395360.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': 1395360, 'diagramx': None, 'generators': [1097433, 38, 3050, 922124313, 7, 205949481, 19207127344204800, 13892732485632000, 6706022400, 363569449, 6270975513, 631, 35503, 13516122267648000, 5313376143, 3, 163720318, 5237176621], 'label': '1216451004088320000.a.1395360.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942109
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [365296313715379216, 122000787836929696, 371337681199161600, 128047830056179283, 122003752417749080, 128047749101398247, 256453600238444313, 128047474114560011, 134805541515321693, 122000787836928000, 243290200817664003, 355938144445, 256097651235487901, 378095736066048000, 256094948229123835, 243290200817664000], 'label': '1216451004088320000.a.465585120._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942110
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [365296313715379216, 122000787836929696, 371337681199161600, 128047830056179283, 122003752417749080, 128047749101398247, 249693988576032000, 128047474114560011, 134805541515321693, 122000787836928000, 243290200817664003, 355938144445, 256097651235487901, 378095736066048000, 256094948229123835, 243290200817664000], 'label': '1216451004088320000.a.465585120._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942111
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [2803117363200, 1401598961280, 2709272966400, 6538372249113, 1401599007513, 359978324460153], 'label': '1216451004088320000.a.465585120._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942112
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [19939418763264103, 6423316174598511, 13181463489530650, 711394016558268, 12804747411456167, 20975, 6779071102003200, 376610217984000, 6423296495616000, 12804766132438962, 376610217984011, 7134691030807968, 12804747411457673, 19939418763264000, 13181358587443278, 376977652128230, 7134671351808003], 'label': '1216451004088320000.a.465585120._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942113
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 232792560, 'diagramx': None, 'generators': [1110215538432000, 6749568000, 6227061120, 12497587200, 6402380411980896, 7134671351808000, 46233], 'label': '1216451004088320000.a.465585120._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942114
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465585120, 'diagramx': None, 'generators': [93887942400, 93927899520, 365667598872576000, 486601773732593433, 103, 7, 16144, 873, 262518244724736000, 517, 3, 45360, 361686124800], 'label': '1216451004088320000.a.465585120._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942115
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465585120, 'diagramx': None, 'generators': [986343562458777600, 19160064000, 299582, 2156448438144000, 128047474114560000, 106378272000, 51595613275852800, 189036, 404048, 128425485933024694, 6631817068800, 3314579, 958003200, 122023112225414400, 25632005503104000, 51596927177241600], 'label': '1216451004088320000.a.465585120._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942116
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465585120, 'diagramx': None, 'generators': [122021710627225113, 121645100409194880, 355774606387200, 122377398054912000, 376704142214400, 376610217984000], 'label': '1216451004088320000.a.465585120._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942117
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465585120, 'diagramx': None, 'generators': [101152840320, 268244524800, 93448857600, 103, 7, 16144, 121645562170251033, 873, 13516122267648000, 517, 3, 45360, 371337674932224000], 'label': '1216451004088320000.a.465585120._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942118
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465585120, 'diagramx': None, 'generators': [6402374014095112, 463311513, 87897600, 40258063093248000, 736314074496000, 83870640, 263727360], 'label': '1216451004088320000.a.465585120._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465585120.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465585120._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942119
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1511640.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': 1511640, 'diagramx': None, 'generators': [13182759188121600, 6780385486022400, 4037913, 13560770006784000], 'label': '1216451004088320000.a.1511640.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1511640.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1511640.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942120
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '476166600.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': 476166600, 'diagramx': None, 'generators': [1460, 4, 2156629500748800, 1800941593651200, 13163137366579200, 2703006028800, 1140784, 5985, 32410796389171200, 46233, 7159704458054400, 195, 7159704454425601, 3991680, 99, 7893309295872000, 20], 'label': '1216451004088320000.a.476166600.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '476166600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '476166600.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942121
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '488864376.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': 488864376, 'diagramx': None, 'generators': [1284254389710461400, 1284254859347712000, 128424084332544000, 93924230400, 763772530084733400], 'label': '1216451004088320000.a.488864376.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '488864376.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '488864376.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942122
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 124710300, 'diagramx': None, 'generators': [7257607, 1426940980380169, 3991683, 40300176438945717, 23, 3991680, 89189626212221, 6706022400, 6780385482395264, 267765886100, 44561043838083, 7138600609221536, 83953177418913, 5492715338892, 5318358760229], 'label': '1216451004088320000.a.498841200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '498841200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '498841200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942123
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 249420600, 'diagramx': None, 'generators': [7257607, 1426940980380169, 3991683, 40300176438945717, 23, 3991680, 89189626212221, 6706022400, 3633840, 267765886100, 44561043838083, 7138600609221536, 83953177418913, 5492715338892, 5318358760229], 'label': '1216451004088320000.a.498841200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '498841200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '498841200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942125
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 249420600, 'diagramx': None, 'generators': [6758079858794880, 11212821043200, 6758061133824000, 523069747200, 12804747411471873, 6766001108254080, 6758061133855113, 6758062614737280, 12804747411460320, 6758061253937280, 12804747411456059, 12804747411471961, 6766002501350400, 19, 6762071858129280, 3, 369, 12804748416996480, 3991680, 4016428778880, 12804747411487176, 6758061133824081], 'label': '1216451004088320000.a.498841200._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '498841200.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '498841200._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942126
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 498841200, 'diagramx': None, 'generators': [355687428101913, 13516122267648000, 711374856192000, 6758155062046080, 6779071102003200, 19939418763264000, 732297646085040], 'label': '1216451004088320000.a.498841200._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '498841200.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '498841200._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942127
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 21162960, 'diagramx': None, 'generators': [2622054758400, 1401558681600, 4037913, 1307677996800], 'label': '1216451004088320000.a.507911040._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942128
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 42325920, 'diagramx': None, 'generators': [2789705318400, 43545600, 40325913, 25020169574400], 'label': '1216451004088320000.a.507911040._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942129
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [174356582408, 314, 6706144414, 262013875680, 122000787836928004, 122000787837176084, 122000787836928008, 122000787836928000, 122000875518260359, 12454041600, 122001062304844851, 12454067956, 12461663691, 122001049858631129, 122003670973039609], 'label': '1216451004088320000.a.507911040._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942130
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 387600, 'diagramx': None, 'generators': [243290207523686400, 22230464256000, 121666023198720000, 243290200817664000, 6423302766591513], 'label': '1216451004088320000.a.1550400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1550400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1550400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942131
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 63488880, 'diagramx': None, 'generators': [59, 11, 4516, 3118, 87657292800, 661, 3991680, 30388, 122002095514924800, 1509570, 46233, 25424, 82, 4, 3929250124800, 99], 'label': '1216451004088320000.a.507911040._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942132
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 84651840, 'diagramx': None, 'generators': [36152, 9539, 23799673497600, 274467916800, 12, 3991680, 384, 1509570, 46233, 3024, 3, 63, 23638253587200], 'label': '1216451004088320000.a.507911040._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942133
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [44635670064757, 67, 4, 2586395, 631, 6447008990822401, 40325913, 43545600, 513, 19, 644, 2204, 5764, 33074040, 6447009034777113, 446751513, 11314378, 36697124, 29521, 66691392768000], 'label': '1216451004088320000.a.507911040._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942134
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [2802192598164, 262017102805, 116, 4010201428800, 262014998923, 93405314694, 267761907266, 23, 95720, 5330809484914, 359698136873041, 12454041600, 15, 267761894511, 3, 267761894603, 174356583606], 'label': '1216451004088320000.a.507911040._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942135
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [378098538225408020, 365292390213276985, 256094948229120000, 134806936807066227, 250052446509465612, 128047748582487720, 243292903823692804, 128047474114560000, 250050964957517431, 4184557977600, 128047748584337280, 1320607411200, 378095736066048000, 6759381741270504, 256094948229120104, 128047474118551680, 371337674932270233], 'label': '1216451004088320000.a.507911040._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942136
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [12804747411457306, 256094948229120000, 365290988654592147, 378095736066048015, 378095736066052992, 378095736069366064, 122000787836928514, 378095736066048073, 12804747411473715, 134805535248384004, 378095736066048000, 2802159360000, 134451168431328000, 128404482150067201, 243290200817664000, 128047474118551680, 371337674932270233], 'label': '1216451004088320000.a.507911040._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942137
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [12804747411457306, 256094948229120000, 365290988654592147, 134449847823916800, 128403161542656001, 378095736066048015, 378095736066052992, 378095736069366064, 122000787836928514, 378095736066048073, 12804747411473715, 134805535248384004, 378095736066048000, 2802159360000, 243290200817664000, 128047474118551680, 371337674932270233], 'label': '1216451004088320000.a.507911040._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942138
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [2802192598164, 262017102805, 116, 4010201428800, 262014998923, 93405314694, 267761907266, 23, 95720, 5330809484914, 12454041600, 15, 359610958541521, 267761894511, 3, 267761894603, 174356583606], 'label': '1216451004088320000.a.507911040._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942139
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 126977760, 'diagramx': None, 'generators': [5764, 11314378, 36697124, 644, 6467844646373913, 2586395, 43545600, 29521, 446751513, 44635670064757, 40325913, 33074040, 631, 19, 66691392768000, 6467844602419201, 67, 4, 513, 2204], 'label': '1216451004088320000.a.507911040._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942140
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 253955520, 'diagramx': None, 'generators': [461, 64250417999065, 87658792488, 64250400616754, 1482515847924, 87657296272, 87657292800, 43166190786621, 257259, 2956888, 20, 87657293306, 6427493990680627, 87657295055, 4, 87657292848, 627], 'label': '1216451004088320000.a.507911040._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942141
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 775200, 'diagramx': None, 'generators': [128047474140370710, 128048850809113113, 243291508493852334, 128069704578819758, 128069704579063853, 243312431301930926, 128068478378674713, 20923820876313, 128069704578816513, 243312431281920321, 128047536907724313, 128090627370887190, 128068396904448001, 128048781811109880, 243290200817664000, 243291508492032054, 20929016908800, 20922790176033, 128068396922499199, 243291508492032005, 243332046397772225, 22230464256000, 18720979200, 20966901989913, 20922789914126, 128047474114648004, 1364240511513, 128047474114560015, 128068403654425113, 128047549361765913, 128089319694338318], 'label': '1216451004088320000.a.1550400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1550400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1550400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942142
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 253955520, 'diagramx': None, 'generators': [461, 64250417999065, 87658792488, 64250400616754, 1482515847924, 87657296272, 87657292800, 43166190786621, 257259, 2956888, 20, 87657293306, 87657295055, 4, 6491569552082227, 87657292848, 627], 'label': '1216451004088320000.a.507911040._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942143
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 507911040, 'diagramx': None, 'generators': [6758061134595993, 4985, 355687431724800, 6758061133870233, 12808683367603200, 6758061133824019, 4, 6758061133824392, 12990, 6758061133826910, 12804747411456103, 12804747411461164, 12808851018163200, 12809978591558400, 6758061137815680, 39783, 6758061133824000, 6758061133858142], 'label': '1216451004088320000.a.507911040._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '507911040.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '507911040._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942144
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '517316800.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': 517316800, 'diagramx': None, 'generators': [71432, 354579, 27096321577657113, 31088, 26739325476864000, 16, 368793, 1394852659200, 403200, 702, 1685546, 6758061133824000, 82, 4, 8, 20341155010176000, 240], 'label': '1216451004088320000.a.517316800.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '517316800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '517316800.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942145
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '532097280.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': 66512160, 'diagramx': None, 'generators': [371380915412600956, 403200, 4, 19207208463129058, 13581593172322650, 7983372, 1485605260339204, 12826977887364496, 122359180234962219, 33144401717280015, 711374860586895, 7660820, 756233317882466981, 33456935891232286, 23625324898583, 1394860320012, 15, 32391181281313266, 249693882241710850], 'label': '1216451004088320000.a.532097280.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '532097280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '532097280.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942147
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 279351072, 'diagramx': None, 'generators': [193516646400, 19678982400, 19562995356079822, 121645194294346991, 711561666816000, 19562995356193823, 19562995355906166, 6758247944448003, 493338462769362926, 134805722059136746, 493338462769183195, 2439751, 19562995355904004, 13181544440064439, 391, 20, 493338462769565498, 4, 522], 'label': '1216451004088320000.a.558702144._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '558702144.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '558702144._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942148
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 279351072, 'diagramx': None, 'generators': [193516646400, 19678982400, 19562995356079822, 711561666816000, 19562995356193823, 19562995355906166, 6758247944448003, 493338462769362926, 134805722059136746, 93886050916, 493338462769183195, 2439751, 19562995355904004, 13181544440064439, 391, 20, 493338462769565498, 4, 522], 'label': '1216451004088320000.a.558702144._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '558702144.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '558702144._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942149
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 279351072, 'diagramx': None, 'generators': [193516646400, 121645100410033390, 19678982400, 19562995356079822, 711561666816000, 19562995356193823, 19562995355906166, 6758247944448003, 493338462769362926, 134805722059136746, 493338462769183195, 2439751, 19562995355904004, 13181544440064439, 391, 20, 493338462769565498, 4, 522], 'label': '1216451004088320000.a.558702144._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '558702144.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '558702144._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942150
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 35271600, 'diagramx': None, 'generators': [1137751, 93405312000, 403206975, 93405312011, 93448857600, 711468261504003, 3327399, 376610218010075, 711468301829913, 376784574567031, 711468261540447, 711374863132953, 376784574566400, 711468261504107, 711374859511126, 711549582641583, 93405313639], 'label': '1216451004088320000.a.564345600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942151
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 47028800, 'diagramx': None, 'generators': [128047480820582400, 121686958925642880, 121645106635852800, 22230464256000, 128089326400404633, 1313901388800, 128047474114560000], 'label': '1216451004088320000.a.564345600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942152
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 775200, 'diagramx': None, 'generators': [44994308528, 4833930486, 128802002224896001, 126840, 19585039009536000, 6706022400, 6270975513, 631, 128802008451916800, 4834, 5312972288, 64, 263210004465408000, 443122712, 288128, 27844, 4, 8, 370826, 775188], 'label': '1216451004088320000.a.1550400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1550400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1550400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942153
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [243311217491877033, 128073640535735193, 106009281100800, 128071012732206645, 128051496770001153, 243379129380710481, 128136663733479006, 243290200821655680, 87614661657840, 64250400614415, 128047474114606233, 128047474114560000, 26166420403200, 4022655436800, 128071012732185604, 1488257971200, 128048794721971225], 'label': '1216451004088320000.a.564345600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942154
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [128047480820582400, 128048782268702319, 1313901388800, 6402373709356800, 249714804987648006, 20935722931203, 249713503540301520, 6424610876006505, 128090640301783329, 121666023677722233, 22230464256000, 1313905426713, 249713503540311600, 128069717033634657, 128047474114560000, 12454814337, 6424616624025601, 6445527475201920, 249735734004556920], 'label': '1216451004088320000.a.564345600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942155
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [6428527193088004, 249780195412070481, 106009281100800, 128051496770001153, 243290200821655680, 249713771781208233, 6428527193109045, 64250400614415, 128047474114606233, 128047474114560000, 121734022744857840, 6425918551146393, 4022655436800, 121671253896192000, 1488257971200, 128048794721971225, 6490255650279006], 'label': '1216451004088320000.a.564345600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942156
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [128047474115331993, 106009281100800, 243290200821655680, 17684, 83959400448001, 3832, 128047474114606233, 83959404076800, 243290200817664003, 4022655436800, 243290200817664008, 243290200817664296, 3929250124800, 243290200817664000, 104], 'label': '1216451004088320000.a.564345600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942157
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [121729053585888000, 128047474115331993, 106009281100800, 243290200821655680, 17684, 3832, 128047474114606233, 243290200817664003, 4022655436800, 243290200817664008, 121729053582259201, 243290200817664296, 3929250124800, 243290200817664000, 104], 'label': '1216451004088320000.a.564345600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942158
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 141086400, 'diagramx': None, 'generators': [128069705057817705, 128047480820582400, 128069717511859201, 128048782268702319, 1313901388800, 20935722931203, 128047480345209600, 128090640301783329, 22230464256000, 1313905426713, 128069717033634657, 128047474114560000, 128090634111054720, 12454814337, 20929495911033, 243311123607552720, 243333354071808120, 243311123607562800, 243312437508940806], 'label': '1216451004088320000.a.564345600._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942159
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 282172800, 'diagramx': None, 'generators': [16, 21030, 898534703972505600, 243290213271705600, 7, 1584, 3991680, 6403694313139201, 108, 12454041600, 7355, 46233, 565, 22242918297600, 6403694316768000, 3, 144, 2247000], 'label': '1216451004088320000.a.564345600._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942160
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 282172800, 'diagramx': None, 'generators': [128047474115331993, 107490833049600, 121752591241881601, 121692189619123200, 243290200821655680, 17684, 3832, 128047474114606233, 121752591245510400, 243290200817664003, 243290200817664008, 243290200817664296, 3929250124800, 243290200817664000, 104], 'label': '1216451004088320000.a.564345600._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942161
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 564345600, 'diagramx': None, 'generators': [513279195912806401, 16, 776889604042675200, 21030, 762281486499456000, 7, 1584, 770418969255936000, 3991680, 513279195916435200, 108, 7355, 46233, 565, 1013751028107417600, 3, 144, 2247000], 'label': '1216451004088320000.a.564345600._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '564345600.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '564345600._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942162
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 290990700, 'diagramx': None, 'generators': [43153254553113, 1110215538432000, 121646408083200000, 377924119372800, 732297646442880, 356995102464000, 121686952734547200, 376610217984000], 'label': '1216451004088320000.a.581981400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581981400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581981400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942163
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1627920.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': 1627920, 'diagramx': None, 'generators': [355687907097600, 122401025376473825, 378005070643200, 712769708851200, 522956313], 'label': '1216451004088320000.a.1627920.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942164
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 290990700, 'diagramx': None, 'generators': [4103606707200, 10806, 93405312000, 775713433017600, 76473, 180623520000, 368793, 31113, 319264, 403200, 514, 2262464425267200, 265, 15, 484026846111513, 635, 2156448957062400, 4, 2618151893280000, 104, 2789705318400, 157984], 'label': '1216451004088320000.a.581981400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581981400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581981400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942165
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 290990700, 'diagramx': None, 'generators': [403200, 843468648422400, 2512136864160000, 2156449396147200, 62855547955200, 65470896691200, 958003200, 121667331871008000, 21009968179200, 2703524947200, 368793], 'label': '1216451004088320000.a.581981400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581981400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581981400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942166
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 290990700, 'diagramx': None, 'generators': [403200, 142779, 368793, 62855547955200, 36129, 609, 4, 7, 21045, 309220, 122131904985221913, 2512136864160000, 2703524947200, 21009968179200, 958003200, 86, 122802411387382451, 76473, 122131904984812801, 121667331871008000, 99, 65470896691200, 15, 2156449396147200, 274144], 'label': '1216451004088320000.a.581981400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581981400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581981400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942167
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 290990700, 'diagramx': None, 'generators': [403200, 142779, 368793, 36129, 62855547955200, 609, 4, 124220092302437913, 7, 21045, 309220, 123864404397737651, 124220092302028801, 2512136864160000, 2703524947200, 21009968179200, 958003200, 86, 76473, 99, 65470896691200, 15, 122801103710208000, 2156449396147200, 274144], 'label': '1216451004088320000.a.581981400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581981400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581981400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942168
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 290990700, 'diagramx': None, 'generators': [403200, 142779, 368793, 36129, 62855547955200, 609, 4, 7, 21045, 309220, 122131904985221913, 2512136864160000, 2703524947200, 21009968179200, 958003200, 86, 122802411387382451, 76473, 122131904984812801, 99, 65470896691200, 15, 122801103710208000, 2156449396147200, 274144], 'label': '1216451004088320000.a.581981400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581981400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581981400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942169
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 290990700, 'diagramx': None, 'generators': [403200, 142779, 843468648422400, 368793, 36129, 62855547955200, 609, 4, 7, 21045, 309220, 122131904985221913, 123864404397737651, 2512136864160000, 2703524947200, 21009968179200, 958003200, 86, 76473, 122131904984812801, 99, 65470896691200, 15, 2156449396147200, 274144], 'label': '1216451004088320000.a.581981400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581981400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581981400._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942170
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581981400, 'diagramx': None, 'generators': [378102381295161600, 243297013697337600, 371338983604512000, 256094948229120000, 368793, 6758061133824023, 371693362360729113, 6758061134102823, 134811120925958400, 403200, 362319724166400, 371337674934881823, 128047474114560000, 378095736066079113, 122000787836928000, 128047474114560631, 243290200817740473, 4, 371337674932224081, 12804747411456008], 'label': '1216451004088320000.a.581981400._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '581981400.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '581981400._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942171
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '598609440.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': 598609440, 'diagramx': None, 'generators': [16703, 493715072987136000, 17520, 365667598872576000, 3105, 350749284480, 21000, 7707571200, 486601511279394729, 11189, 24771, 87178297113, 15240], 'label': '1216451004088320000.a.598609440.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '598609440.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '598609440.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942172
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '620780160.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': 155195040, 'diagramx': None, 'generators': [12806404277990404, 6758236451631169, 12804747411456055, 12804766571520000, 5317915680103, 12811554543110403, 6762340055118352, 107, 6758062091836512, 12807550528819680, 6758062091827200, 6758148791116811, 6758061133824000, 4, 1675587513629, 262014673103], 'label': '1216451004088320000.a.620780160.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '620780160.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '620780160.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942173
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3779100, 'diagramx': None, 'generators': [499803779226937080, 122440347008181776, 43545600, 122440347037634430, 262539173741665838, 262539173741644800, 122440347008179274, 404776309601664020, 40325913, 2223518, 499803779201126404, 122440347008179827, 262539173774708072, 122440347011486326, 763748609889893912, 499803779201126400, 763748609483059200], 'label': '1216451004088320000.a.634888800._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942174
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1744200.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': 1744200, 'diagramx': None, 'generators': [122002095511296018, 121688253666584772, 1110215821887625, 26075, 122755315947303903, 356995102464000, 122023018301184000, 732297646080633, 397572, 43153254144145, 25350, 377924642329113, 732298089202713, 122398320844800002, 1110215538432000, 753220436130057, 122712162693151114, 122002095511296001, 377924119372800, 377917892355030, 121645113784997912, 122398320844806583, 122002095511300551], 'label': '1216451004088320000.a.1744200.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1744200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1744200.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942175
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 13226850, 'diagramx': None, 'generators': [121646408083200000, 356995102464000, 355693655116800, 40325913, 122002101781862400], 'label': '1216451004088320000.a.634888800._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942176
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [1313923842994, 4103606707200, 2702527154552, 3923067058713, 3923052502321, 1313901388800, 1401119596800, 180583689601, 3923045376600, 2789705657673, 15215912, 4103607035672, 3923056177376, 4103606833921, 3923023104001, 2789738391752], 'label': '1216451004088320000.a.634888800._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942177
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [4103606707200, 1313901390361, 122000788073267017, 1313901393275, 122002101740177424, 43545600, 1313901388803, 122003577570643490, 122003577548824472, 2789705318678, 40325913, 122000787836928000, 8, 36129, 2789705318400, 122003577542246478, 4103606707304], 'label': '1216451004088320000.a.634888800._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942178
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 26453700, 'diagramx': None, 'generators': [499427168983142400, 122440347008179200, 499427168983142404, 122440347008181776, 43545600, 122440347037634430, 642060356226917912, 122440347008179274, 40325913, 404797319569843220, 2223518, 122440347008179827, 262915783959649838, 122440347011486326, 763016224658688000, 262915783992692072, 499427169008953080], 'label': '1216451004088320000.a.634888800._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942179
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [4103606707200, 256094948229130393, 128405783118412820, 364937923092286353, 256094948229120000, 364936783264387353, 128404643573606403, 364937922805564929, 256094948272665600, 4103606708640, 256094948229120609, 364936783257479811, 128405783118412890, 128405783520938320, 256094948229123761, 364936783283257154, 256099051876153113, 256099051835829510, 128405783118412800], 'label': '1216451004088320000.a.634888800._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942180
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 39680550, 'diagramx': None, 'generators': [499824708218035274, 406834712, 122440347008181776, 43545600, 122440347037634430, 262539173741665838, 262539173741644800, 43159514228072, 40325913, 499803779201126420, 262518244724736000, 2223518, 499803779201126404, 122440347008179827, 122440347011486326, 122419418017081080, 499803779201126400], 'label': '1216451004088320000.a.634888800._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942181
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [121646414354175513, 121646414310220821, 356995110084481, 15215041, 403205913, 356995102464000, 121646408083285681, 122000787836928004, 356995462078080, 7671753, 121646408083200000, 122000794063948920, 6227020801, 19, 121646414753343513, 1592, 122000794063948872, 6227025840, 121646414350137600], 'label': '1216451004088320000.a.634888800._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942182
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [355687428096002, 2789705318774, 355687428096390, 2789705318400, 359791074720000, 1313901388800, 355687428365592, 1313901388808, 359791034909814, 2789705349864, 4103606735534, 4103759209260, 305668958, 357001362507392, 357001329486264, 2789705318486, 357001373439513, 357001329525120], 'label': '1216451004088320000.a.634888800._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942183
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 52907400, 'diagramx': None, 'generators': [355687468012800, 356995102464000, 1307718322713, 1313901388800], 'label': '1216451004088320000.a.634888800._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942184
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [121645100408832072, 357001329489840, 355693655116800, 121645100851954713, 15215041, 121646408083200004, 403205913, 121646408083285681, 121645100452786713, 7671753, 121645100408832120, 121646408083200000, 355693655118392, 121645100448748800, 121645100408832021, 355693655116819, 1307674368001, 359614080, 355693662737281], 'label': '1216451004088320000.a.634888800._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942185
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1847560.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': 1847560, 'diagramx': None, 'generators': [6402373706090880, 12827071799942400, 6780385522310400, 6402373706137113], 'label': '1216451004088320000.a.1847560.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1847560.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1847560.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942186
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [358309003853078, 4103606707200, 121647722012985890, 121647721991166872, 122000788073267017, 43545600, 357169459050875, 40325913, 122000787836928000, 357169459047961, 121647721984588878, 357169459046403, 121647721984588800, 8, 36129, 121646582441643024, 4103606707304], 'label': '1216451004088320000.a.634888800._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942187
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [4103606707200, 4103606713137, 122000875015219305, 1313901388800, 122000875015219206, 122003409452601600, 122004804265347229, 122003409412686755, 122002269867878480, 439447806, 122004804302035206, 122003409412684801, 2789705318404, 4103606707278, 1313901388812, 4103606710310, 122004804309298713, 40440], 'label': '1216451004088320000.a.634888800._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942188
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [4103606707200, 122003409456639513, 122004891443641137, 2621575756801, 122003409412686755, 1482030950480, 12, 122000788276375806, 2621575760029, 4103606707204, 122004891443635200, 2621615673600, 122004891443635278, 4103606710310, 2621612448006, 122002269867878505, 122002269867878406, 40440], 'label': '1216451004088320000.a.634888800._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942189
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [121646414354175513, 4103606707200, 122004891443641137, 121647890114150406, 121647890114150505, 12, 122000788276375806, 357001369401600, 4103606707204, 122004891443635200, 358477133417629, 358477170105606, 121647890114152355, 358477133414480, 122004891443635278, 4103606710310, 357001329484801, 40440], 'label': '1216451004088320000.a.634888800._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942190
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [4103606707200, 2621575756801, 122000875015219305, 122000875015219206, 1482030950480, 122003577542252337, 2621575760029, 4103606707212, 122002101738316800, 122004804265345955, 4103606710310, 122004804309298713, 4, 2621612448006, 1482070867200, 122002102177764606, 122003577542246478, 40440], 'label': '1216451004088320000.a.634888800._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942191
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [499803779226937080, 122440347008181776, 404818061776128020, 872568039690547200, 43545600, 122440347037634430, 262539173741665838, 262539173741644800, 122440347008179274, 40325913, 2223518, 499803779201126404, 122440347008179827, 262539173774708072, 122440347011486326, 499803779201126400, 763684627251173912], 'label': '1216451004088320000.a.634888800._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942192
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [122440340821075200, 1643, 2949248, 4, 29439390, 82, 40325913, 55, 174, 43159481164800, 406834712, 43545600, 2586444, 122440347008179200, 33068288, 26046, 122440340781158401, 25950, 11], 'label': '1216451004088320000.a.634888800._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942193
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [648505801828684800, 750525406273843200, 378097049967436800, 43545600, 40325913], 'label': '1216451004088320000.a.634888800._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942194
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 79361100, 'diagramx': None, 'generators': [4103606707200, 378098357641890480, 378097218096998424, 4103632517913, 256097569804879833, 256097569804876801, 378098357671244313, 256097569841573913, 323400, 122000787836928004, 33068313, 256096430260075440, 122000787836928000, 256097569805199480, 256097569844793600, 4103606707482, 122004891443635713, 256096430260070421, 256097569848831513], 'label': '1216451004088320000.a.634888800._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942195
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [32766496750310906, 38482416137088004, 736488431078408, 26345727946137600, 736488431078400, 33164191181721600, 359703856512000, 771993, 15022563139584073, 40653155587968000, 45278237446048669, 7830441293878235, 3991680, 7537709046069509, 20692726856528550, 46233, 795159421056000, 7472058044805506], 'label': '1216451004088320000.a.634888800._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942196
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '1860480.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': 15504, 'diagramx': None, 'generators': [174879538713, 93928268313], 'label': '1216451004088320000.a.1860480.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942197
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 105814800, 'diagramx': None, 'generators': [19207395585100802, 6402648173649840, 6423384185608320, 186810624000, 20922793516800, 13537319525452920, 6402648176951160, 12825944669260814, 274467916800, 376610217984000, 711374856192104, 19939418763264000, 19207121117188448, 13516122267648000, 6402373705728010, 355687428096001, 19939418767301913, 732385340069913], 'label': '1216451004088320000.a.634888800._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942198
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [378099839698565913, 377742838372709913, 121646414310220821, 378099839672755200, 121646414310220824, 357001329489840, 323400, 378099839672755482, 377742838343593080, 33068313, 122000787836928000, 377742838343270401, 256453425362537433, 122000787836928004, 256099051835827713, 377742838383187200, 377742838387225113, 377742838343356080, 377742838379967513], 'label': '1216451004088320000.a.634888800._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942199
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [506, 6487372539648000, 2949273, 4, 107, 6402373789236633, 64250400614400, 3312204, 40325913, 1137034, 27308304, 4471, 43545600, 6487372667111344, 6402373705728001, 1143873, 35433, 15, 5126400, 796551], 'label': '1216451004088320000.a.634888800._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942200
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [4103606707200, 121646582879230206, 122000875015219305, 122000875015219206, 12, 357001369401600, 121647721984594737, 4103606707204, 358477133417629, 358477170105606, 358477133414480, 122004804265345955, 121647721984588878, 4103606710310, 122004804309298713, 121647721984588800, 357001329484801, 40440], 'label': '1216451004088320000.a.634888800._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942201
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [3312252, 122003577942105753, 329, 21156073, 43545600, 6215190, 1465990144819200, 249392892, 40325913, 15, 2949270, 122419417991270400, 289307790, 121645100805062553, 3, 63, 3750, 1881621, 774317582438401, 1614], 'label': '1216451004088320000.a.634888800._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942202
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [121688253662980054, 753220435969635, 122377398054912000, 121688253662976096, 121688253685158352, 327001104, 122377398080739445, 43545600, 753220435968004, 121688253699673111, 1067068511308812, 122755322174284823, 40325913, 753220435968000, 122377398066207447, 377924520090569, 1497864, 1067068511308800], 'label': '1216451004088320000.a.634888800._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942203
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [4103606707200, 3312252, 329, 21156073, 121645187587123200, 43545600, 6215190, 122003409808915353, 121645187986982553, 249392892, 40325913, 122003409412684801, 15, 2949270, 289307790, 3, 63, 3750, 1881621, 1614], 'label': '1216451004088320000.a.634888800._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942204
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [4103606707200, 3312252, 4104006566553, 329, 21156073, 43545600, 6215190, 358309003852800, 249392892, 40325913, 122003409412684801, 15, 2949270, 289307790, 121645100805062553, 3, 63, 3750, 1881621, 1614], 'label': '1216451004088320000.a.634888800._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942205
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [122002101738316803, 378098525771399811, 378098525771370161, 256099051835827200, 122002101738327193, 128404643573607009, 249696590951808000, 13160522061388800, 290033553, 364937922805564929, 13160522017845510, 13160522058169113, 13160522017844640, 256099051861637954, 6940953, 378098525771366400, 128404643573606420, 249696590951808090, 13160522420368720], 'label': '1216451004088320000.a.634888800._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942206
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [4475, 123090254942054401, 5489400, 3314757, 148030226715571200, 285, 648505801828684800, 43545600, 3312190, 40325913, 3836, 787185, 17502104, 20, 123090254981971200, 3, 36129], 'label': '1216451004088320000.a.634888800._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942207
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '2015520.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': 1007760, 'diagramx': None, 'generators': [1486825758670593, 13181531986022400, 23544365664537, 64169449344099, 119, 31180, 3929250160233, 21009277306350576, 207505, 26743335692913090, 1584, 12847907335518594, 93405327984, 15, 395, 43240435764849, 16065, 3, 636, 288166], 'label': '1216451004088320000.a.2015520.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2015520.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2015520.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942208
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [355868011730313, 355868011699211, 358389955123307, 1313901388800, 1313901390418, 359610458140953, 358389955123595, 357088551321600, 355868052025113, 3312033, 2310, 359610451200003, 359610451204471, 357088507776012, 2417, 2789705318400, 355868011699200], 'label': '1216451004088320000.a.634888800._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942209
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [2789705318774, 355868164201260, 358389955123208, 3923067058713, 1401119596800, 3923023105464, 357001362507392, 357001329485190, 358389955123286, 2789705349864, 1401079786614, 2789705346734, 305668958, 1401079949592, 1401079680002, 2789705318400, 3923023144320, 355868011699200], 'label': '1216451004088320000.a.634888800._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942210
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [13939902168193950, 27494127576115321, 14630529070080003, 38815879327971888, 39150730665446792, 2220524482176000, 3991680, 27138428172979212, 12851923800038459, 34235089789824000, 1089298975564800, 26740633630233600, 20378810283955200, 46233, 19981532107883670, 45278399348597414, 1174298288486400, 32036801522146706], 'label': '1216451004088320000.a.634888800._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942211
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [4475, 257876175074918401, 5489400, 3314757, 148030226715571200, 285, 648505801828684800, 43545600, 3312190, 40325913, 3836, 257876175114835200, 787185, 17502104, 20, 3, 36129], 'label': '1216451004088320000.a.634888800._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942212
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 158722200, 'diagramx': None, 'generators': [36334233, 16, 81, 357001373439513, 1509230577254400, 4480, 1781139667507200, 43545600, 16428457, 40325913, 26046, 3312147, 3, 357001329484801, 240, 31080, 216051902, 627], 'label': '1216451004088320000.a.634888800._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942213
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [268277593113, 6423384185608320, 186810624000, 6423471331200002, 19228143539409840, 13181457261772920, 274467916800, 12804922247040014, 376610217984000, 711374856192104, 19939418763264000, 6423471331204448, 19228143542711160, 13516122267648000, 376785053568001, 19939418767301913, 19228143539404810, 711474492153600], 'label': '1216451004088320000.a.634888800._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942214
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [6423296499653913, 21016674201600, 20922793516800, 6423296495616000, 21009968179200], 'label': '1216451004088320000.a.634888800._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942215
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [376610217984000, 19228043907094625, 732559180953600, 7134759009131906, 87657292800, 13181357629440015, 7114010096797346, 19562896202572803, 6779077808025878, 19939418767255680, 13537057991351193, 19939418763264000, 21016674201638, 6423296495616000, 274467916800, 19918589857735833, 12804747411456078], 'label': '1216451004088320000.a.634888800._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942216
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [32766496750310906, 8540683311286235, 736488431078408, 26345727946137600, 736488431078400, 33164191181721600, 359703856512000, 771993, 14332124006323273, 45278237446048669, 7578159773186309, 3991680, 7474666687519106, 40658485438771200, 19251756881280004, 46233, 795159421056000, 40632145619792550], 'label': '1216451004088320000.a.634888800._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942217
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [711468261504000, 19228137312406625, 732565886976000, 21016674201638, 6779158759296278, 87657292800, 274467916800, 19939418767255680, 13537057991351193, 6423296495616000, 7114022550838946, 19939418763264000, 19918589857735833, 13181451034752015, 12804921768038478, 7134678057861506, 19562815251302403], 'label': '1216451004088320000.a.634888800._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942218
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '4845.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': 4845, 'diagramx': None, 'generators': [122000787836928000, 1394852659200, 121646408083200000, 1314424345113, 128047474114560000], 'label': '1216451004088320000.a.4845.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4845.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4845.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942219
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [22237170278400, 1110215538432000, 1087985074176000, 356995102464000, 1087991345151513], 'label': '1216451004088320000.a.2325600._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2325600.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2325600._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942220
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [6402560516352010, 376616445004801, 6423570996232320, 21097625472104, 12825757858636814, 19228312151274360, 19207208774476802, 732397278412800, 274467916800, 376610217984000, 21109604140800, 6423302722641248, 19939418763264000, 19228312147973040, 13516122267648000, 19939418767301913, 732385340069913, 13181625870336120], 'label': '1216451004088320000.a.634888800._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942221
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [6402560516352010, 20929016908904, 6423570996232320, 12825757858636814, 19207208774476802, 19228143539409840, 13181457261772920, 274467916800, 376610217984000, 21109604140800, 732303873100800, 19939418763264000, 6423471331204448, 19228143542711160, 13516122267648000, 376785053568001, 19939418767301913, 732385340069913], 'label': '1216451004088320000.a.634888800._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942222
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 317444400, 'diagramx': None, 'generators': [250048261951488003, 134449847820288001, 365290988658583680, 122000787836928269, 1313901388800, 256094948229120000, 243290200817710233, 121645100412460800, 134805535248413472, 250048261951491031, 121649197788518400, 128047474114560016, 122000787836928000, 122000787836928059, 128047474114560631, 12804747413703000, 243290200817664000], 'label': '1216451004088320000.a.634888800._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942223
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 634888800, 'diagramx': None, 'generators': [506, 2978553, 388, 6508301580375720, 1640, 41852285798400, 2864, 77, 85272822835200, 28403, 43153733145600, 46233, 68273538681600, 2877362611200, 19689, 3, 3991680, 23, 2615040, 12], 'label': '1216451004088320000.a.634888800._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942224
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 634888800, 'diagramx': None, 'generators': [711374856192000, 732391530429026, 121666110859319906, 122001049371801864, 711468740509347, 121666284735123746, 87657292800, 732297646080001, 121645100412460800, 274467916800, 21103409819666, 732478229719347, 711387789271353, 121645113341875200, 711374860229913, 376884685901306, 20935722931200, 732297646080002, 121645287219456021, 122377659589785624], 'label': '1216451004088320000.a.634888800._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '634888800.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '634888800._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942229
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [122000787836928012, 122000787880491054, 461797476599, 122002271348727487, 122001149523082195, 122000787836928033, 443076513294, 443638974430, 122000787836928003, 602, 442637399571, 122000981397120439, 122004979663399534, 122000787836928000, 122000807040538247, 122000789313850235, 1307674408320], 'label': '1216451004088320000.a.665121600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942230
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [622097311739907750, 256095002445639863, 249693882197791126, 141605441962781192, 256094948229120000, 622097311739940147, 390942334849257662, 622097311903634312, 500453519005728150, 13161742513920514, 384541264985923135, 609314794792911506, 6270975513, 384541263025920000, 622097316574164375, 390942404783487512, 13161742513920000, 384541263026047110, 141605446795953990, 6706022400, 384541263025920012, 390942329057280056, 13161742517232152, 13161742513920004], 'label': '1216451004088320000.a.2325600._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2325600.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2325600._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942231
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [122002271348727487, 602, 443638974430, 461797476599, 122000981397120439, 122000787880491054, 122000787836928003, 355687428136320, 443076513294, 122000787836928033, 122000787836928012, 122000787836928000, 442637399571, 122004979663399534, 122001149523082195, 122000807040538247, 122000789313850235], 'label': '1216451004088320000.a.665121600._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942232
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [122000787836928012, 122000787880491054, 461797476599, 122002271348727487, 122001149523082195, 122000787836928033, 443076513294, 443638974430, 356995102464000, 122000787836928003, 602, 442637399571, 122000981397120439, 122004979663399534, 122000787836928000, 122000807040538247, 122000789313850235], 'label': '1216451004088320000.a.665121600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942233
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [873, 122000787836928000, 78, 16144, 15, 122000787836928299, 4016907417600, 256451943331584000, 4, 122000787836973360, 104, 122008984036934400], 'label': '1216451004088320000.a.665121600._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942234
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 166280400, 'diagramx': None, 'generators': [513, 3, 873, 122003403185664000, 122000787836928000, 15, 122000787836944144, 90, 122007787527225600, 378097043740456320, 122000787836973360], 'label': '1216451004088320000.a.665121600._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942235
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 332560800, 'diagramx': None, 'generators': [562464000, 5511396038400, 580, 122002095511336320, 16144, 873, 15, 355687428136320, 4, 632, 94, 45360], 'label': '1216451004088320000.a.665121600._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942236
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 332560800, 'diagramx': None, 'generators': [1307674408320, 362487813842568, 2622098304000, 1401602227200, 46233], 'label': '1216451004088320000.a.665121600._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942237
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 665121600, 'diagramx': None, 'generators': [122755377207935998, 122002103346604153, 512189896458240000, 13516122267648000, 505830676006656000, 19682651520, 1687, 47537280, 38, 621784777565952000], 'label': '1216451004088320000.a.665121600._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942238
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 665121600, 'diagramx': None, 'generators': [243312624359481600, 167251, 243290200817664007, 106021735142400, 128047474114560004, 12, 6402373706137113, 243290200817852614, 128047474114560000, 128047474114888475, 11064, 128047474114560574, 243290200817664627, 207513, 128047474116823824, 128047474114963200, 99, 243290200818032793], 'label': '1216451004088320000.a.665121600._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '665121600.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '665121600._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942239
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174594420, 'diagramx': None, 'generators': [267761894400, 23351, 981386424277499089, 1195320271622400, 859384253523369617, 7, 12972983351, 362881, 85186123545600, 126950752091089, 2512142093300689, 661664942406748223, 616494101429630023, 2199777047176326, 859007643305385617, 100111374289, 5041, 252207507320265617, 2156455144166704, 958003200, 348713164800, 737821269798682183, 6266960951, 121], 'label': '1216451004088320000.a.698377680._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '698377680.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '698377680._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942240
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 698377680, 'diagramx': None, 'generators': [14014788480, 634589524977408000, 37835, 36159, 244043421253632000, 36063, 26577, 11167, 11190, 31346, 121645133547427905, 1963543680, 6829770393, 36151], 'label': '1216451004088320000.a.698377680._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '698377680.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '698377680._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942241
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2325600, 'diagramx': None, 'generators': [518918400, 329193, 779464, 48, 12, 505, 749833646533171200, 83871513, 15, 494091683205120000, 25920, 39657, 4037913, 4, 627, 2580], 'label': '1216451004088320000.a.2325600._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2325600.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2325600._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942242
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 698377680, 'diagramx': None, 'generators': [13516122267674083, 13516122268016793, 13516122267648003, 247897, 19939418763264514, 6779071102003200, 6423296497879824, 19939599386784000, 6423296495616019, 19939680777139200, 19939418763264000, 6423296495889921, 6423383674316313, 6423296495616000, 19939418763511835, 103, 19939418763667200, 13516122267648391, 19939418763285045], 'label': '1216451004088320000.a.698377680._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '698377680.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '698377680._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942243
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 698377680, 'diagramx': None, 'generators': [256094948229196473, 378095736066048007, 81, 378095736066048023, 256094948229120000, 256094948229120513, 378095736066416793, 368392147200, 174, 122000787838860033, 122000787836954064, 4110831648000, 122000787836928000, 378095736066451200, 256094948229156152, 378097137665055513, 371694763958918400, 256094948229120004], 'label': '1216451004088320000.a.698377680._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '698377680.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '698377680._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942244
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 698377680, 'diagramx': None, 'generators': [6402399652011032, 356995102464000, 6749935920, 12976951680, 6749936793, 13499136000, 31135109913, 7491666454272000], 'label': '1216451004088320000.a.698377680._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '698377680.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '698377680._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942245
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 120931200, 'diagramx': None, 'generators': [33790305669120003, 13560757552748070, 6780385003392000, 13560757559683353, 13560757552746832, 43545600, 27115935696375045, 13560757556053833, 20340874828818542, 36230, 40325913, 709, 6780385003395024, 20340875164107183, 20340875071602025, 33790305669120107, 27115936096665357, 38414242234368019], 'label': '1216451004088320000.a.725587200._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '725587200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '725587200._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942246
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 725587200, 'diagramx': None, 'generators': [3246, 2179893650457600, 2510, 510, 1140784, 355961899641600, 270, 48, 3991680, 15, 46233, 122361706464950152, 796548525696000, 4, 3032, 3636, 11823], 'label': '1216451004088320000.a.725587200._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '725587200.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '725587200._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942247
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '727476750.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': 727476750, 'diagramx': None, 'generators': [494805766815360000, 295569225, 295551480, 439465765939200, 83825280, 281771227850112000, 175818816, 175795200, 494093078057779200, 614650106214144000, 493360693233408000, 87091200, 121645100847877327], 'label': '1216451004088320000.a.727476750.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '727476750.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '727476750.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942248
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2546168625, 'diagramx': None, 'generators': [256094948229120000, 513701943740721216, 878633039636352000, 878637244967217225, 513696337330176000, 250048261951488000], 'label': '1216451004088320000.a.2546168625._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2546168625._.A', 'old_label': '2546168625.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2546168625._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942249
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '9280784638125.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': 9280784638125, 'diagramx': None, 'generators': [2789705318400, 121646408083200000, 256094948229120000, 5606234726400, 11212821043200], 'label': '1216451004088320000.a.9280784638125.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9280784638125.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9280784638125.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942250
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '185406341120000.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': 5793948160000, 'diagramx': None, 'generators': [385276437555609600, 3991680, 128047474114560000, 12113640], 'label': '1216451004088320000.a.185406341120000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '185406341120000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '185406341120000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942260
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2325600, 'diagramx': None, 'generators': [3522388403, 112, 57368517390, 285, 3322844, 122002101738316800, 842290710, 1614, 615738091288320000, 36653, 6270975513, 5516067927, 3519422, 83874498443, 247832, 122002095511296001, 3, 6706022400, 622097311739904000, 2949536, 15, 164931674], 'label': '1216451004088320000.a.2325600._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2325600.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2325600._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942261
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '2713200.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': 2713200, 'diagramx': None, 'generators': [128047474637516313, 6424691348275200, 121666023198720000, 128047474114560000, 121645100887833600], 'label': '1216451004088320000.a.2713200.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2713200.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2713200.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942262
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '2790720.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': 1395360, 'diagramx': None, 'generators': [6706022400, 1110215538432000, 19919803647744000, 6270975513], 'label': '1216451004088320000.a.2790720.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2790720.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2790720.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942263
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '3023280.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': 1511640, 'diagramx': None, 'generators': [45194801594342460, 44923851981130182, 48, 3923502115083, 25987418942287843, 1781146399703184, 19583818513691341, 45194808300531330, 32475046821494769, 16, 94, 26427479224486, 262013875216, 32389874078309539, 12454041711, 5330808998434, 25988720391400770, 3, 186811668310, 2708754365934, 45194621489745341], 'label': '1216451004088320000.a.3023280.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3023280.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3023280.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942264
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '3100800.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': 387600, 'diagramx': None, 'generators': [128069704579009234, 128069704578816008, 128069704581765248, 128089319694336003, 128047474480887342, 243290269209457445, 243312431281920037, 22230464257665, 128047474117871433, 128089325965311513, 22230464272343, 41845863231585, 41845579776000, 128047474114560000, 243332052149497113, 243312431281951114, 128089319695118553, 22230464327444, 243312437987942400, 128047474114560023], 'label': '1216451004088320000.a.3100800.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3100800.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3100800.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942265
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1627920, 'diagramx': None, 'generators': [355687907097600, 378005070643200, 712769708851200, 522956313], 'label': '1216451004088320000.a.3255840._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3255840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3255840._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942266
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': '6840.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': 1140, 'diagramx': None, 'generators': [22324392524313, 41939508044313], 'label': '1216451004088320000.a.6840.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6840.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942267
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1627920, 'diagramx': None, 'generators': [1394852659722, 41845579778750, 1486825757551282, 2615348736019, 775450900228353, 733605322311419, 1089379945679002, 12, 1394852659748, 122021711665828713, 379230520791943, 418459594223395, 43241220173950, 23625316915876, 1488220635250480, 713990496212970, 20, 4, 379225587498925], 'label': '1216451004088320000.a.3255840._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3255840.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3255840._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942268
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1627920, 'diagramx': None, 'generators': [1394852659722, 41845579778750, 1486825757551282, 2615348736019, 775450900228353, 733605322311419, 1089379945679002, 12, 121666024241361513, 1394852659748, 379230520791943, 418459594223395, 43241220173950, 23625316915876, 1488220635250480, 713990496212970, 20, 4, 379225587498925], 'label': '1216451004088320000.a.3255840._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3255840.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3255840._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942269
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3255840, 'diagramx': None, 'generators': [404, 364515934, 1497776, 518918400, 11, 358389955123200, 38, 3338320, 7533599691340800, 26679259634227200, 16055, 71, 4037913, 4, 2950388, 3888898710, 66918, 167584], 'label': '1216451004088320000.a.3255840._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3255840.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3255840._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942270
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [122000787836928000, 356995102464000, 121645106635852800, 121645107158809113], 'label': '1216451004088320000.a.3488400._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3488400.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3488400._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942271
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 581400, 'diagramx': None, 'generators': [122002095511296005, 2918010545, 356995102464343, 122002095511296450, 122398327594777113, 122755326398167680, 121645100408832002, 122755315947264001, 356995102464000, 122398320870613647, 356995102670199, 122755315947264035, 122398327071820800, 122398320844800070, 121645100408832018, 753220435968000, 753220436094895, 570, 1110215549343829, 122755315950213272, 122398320874234671, 35407, 121645106197177112, 122002096516876800, 1110297012658567, 121645100408836447, 1110215560821142], 'label': '1216451004088320000.a.3488400._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3488400.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3488400._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942272
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [1110217023786445, 81, 377924119372800, 43154289775000, 3312129, 43153265877939, 356995138968728, 377924642329113, 43153257376384, 1110215561617793, 753220435968000, 1067062285085272, 80991591147, 753220437828601, 43153257744256, 43155689154584, 1110215538432000, 377917892352001], 'label': '1216451004088320000.a.3488400._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3488400.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3488400._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942273
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [363289111, 122377398054948033, 356995102464000, 122377398498034712, 122023025007206400, 356995102755048, 753220435968008, 121688253663839646, 5752057113, 122377404325887513, 122712162693150992, 2910, 753220435968004, 356995102464391, 356995102464104, 356995102611752, 122377398054912635, 1110215538432000, 122377398054912000, 356995103557680, 122377398054938071], 'label': '1216451004088320000.a.3488400._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3488400.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3488400._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942274
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [122023018301310895, 2918010545, 122398320844800035, 121645100408832002, 122398320870613647, 122023018301184000, 121645100408832018, 753220435968000, 122712162704031829, 570, 377924642329113, 121645101414412800, 122398320874234671, 122023018301184343, 122712162693155407, 121645106197177112, 122712244167346567, 377924119372800, 753220458357142, 377917892352070, 122398331295703680, 206199, 121645100408832005, 121645100408836447, 122398320844800001, 1067062287237272, 121645100408832450], 'label': '1216451004088320000.a.3488400._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3488400.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3488400._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942275
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [122002101299641112, 122002095511296005, 2918010545, 122755315976698671, 122002095511296018, 122002095511296450, 122377398065823829, 122755326398167680, 122755315947264001, 121688253662976343, 122755315947264035, 122377398054947407, 753220435968000, 570, 377924642329113, 122377479529138567, 122002095511296002, 122377398054912000, 377924119372800, 753220458357142, 377917892352070, 122002096516876800, 206199, 1067062287237272, 121688253663102895, 122755315973077647, 122002095511300447], 'label': '1216451004088320000.a.3488400._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3488400.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3488400._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 11942276
    {'ambient': '1216451004088320000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1744200, 'diagramx': None, 'generators': [122755315947264001, 243538824, 506519820398592000, 1138473, 122755322174284800, 495, 63272165904, 126800, 403205888, 1174, 24162, 2438994185, 6156046621, 6706022400, 6270975513, 83758014836, 4354966604, 64, 20, 1497864, 1960208173, 3, 141920591484672000], 'label': '1216451004088320000.a.3488400._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3488400.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3488400._.G', 'subgroup_fusion': None, 'weyl_group': None}