Abstract group data - 15944266600786427904000.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': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[141357536014807467574364044450835179483392143, 127093935859561689292981577007575032435953863], [169629162614509692495916903428762360688224127, 155386792670171863539178092610177610931850030], [183509353902313855706610955938324267054412943, 98642189716930291186039281923615179163909063], [339374620452668886648077538742469013616024751, 254528516470053295745707588498004058794378449], [141601711177849149027137946582995797517789230, 127030406815063482274932223881541052044068055], [141601711194825557930653781342831461111192734, 127030165575197518752994595463109368749527264], [141357535963878918490423252095459995493483001, 127094177184491546162548395170703081373733041], [141601711194660692316710579926002194847744142, 509088568966869381987044812782540510534844662], [141357535802825004188758867140075471761664126, 494644599506619202398862514261080763801865457], [141601711194825524457462615003897167820184343, 127030165609141043046961311266602304346506862], [141357535980855101518403639914684765344000408, 127093935884760710975139727578024357675019854], [522916145808920091113469121482441976513855150, 127030165575014529656397094319777226815285334], [480615467745133640725592841050194789111192728, 127093935859561610618829388394414337182896871], [141601711194825512762010027980862068110738265, 127030165575179225452317892765929120102812742], [141357535955656079836245331205604928262423448, 127093935859561689292981577263670000304157735], [141601916700027315625543633731802010551615151, 127030165575032856494846354973839395428746455], [141357732641712642144217448871090245428543128, 127093935859561689260718902659674497795709665], [141601711194825490177688204891344008414173231, 127030165575160932151641189543755715846767863], [141357535938679896808265103453634405980799128, 127093935859561689292981577007577841782768849], [141601711194916945792202375934528073665035950, 127030165575133864841936216536011326647689463], [141357535929972590574499274358507092879762334, 127093935859561746157077596115067407702640848], [169809371053578259555138300294998191630553727, 155344189869382022649481477321007457481728006], [141357535845036795532567757047887700111987776, 127115192655044918574827226713890776721901094], [141357536014807467574363723307016939694046776, 127147372945259308558534312596104154163055303], [141357536014807467574364043427223863291749817, 127093935859561689293035529042513937018830929], [141357535845036795532567757045612769191913456, 127115192655044918542564016865782078119542054], [141357536014807467574363400882723839047029897, 127093935757704568508461117586319682889788102], [141357536014807467574364044450835179483392143, 113319849620377788974860220057903302256220743], [141357536014807467574364044450836493424697742, 113319849620377788974860220058258995871057863], [141357544698116244624256800145431244452844942, 127093944542879297215998621985416491298492742], [141367877846091483420049656917075472036844936, 127083611394921763721932145576030766704220737], [141357544698125086401761750012361880648780936, 113319849620377788990371378889002703509765056], [141357544689902247732072617151305325598044856, 127093935867784527947159499703299813706404503], [155121297789342600574953440310339086299397183, 127093935859561689308492735959963852897975696], [141357544689893405985590087371035366109502783, 127083602711595292274693618768629062293760022], [141357544698125086386250590938326652103921977, 127093935859561689308492787050906018419948942], [141357544689902247747583827194279316479212942, 127093935859561689292981525916277179525433623], [141357536006575787158192381809509978845497737, 127083602711595292259182459937885348428037062], [141357544689893405985590087492681767966044742, 127093935859561678404086223481186127514223936], [141357536006575787158192381809509972618481982, 127093935859561678404112126467577777446220822], [141357536006575787158192432900097770801577663, 127083602719818130913334530617226925922923022], [141357536006584628920186172602406687904005062, 127093935867784527947159499703655501134137742], [141357536006584628920186121511464516194560136, 127093935859561689292981577007575038662974662], [141357536014807467574364044329190079074565183, 127093935859561689292981576885929938254137617], [141357536006584628920186121632753929175659022, 127093935859561689292981577007573724761948736], [169777951380732405916742079927285068306239009, 240084636406373399786589592450909575845452369]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 31888533201572855808000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': [[1, 1, 1, 1], [2, 19, 1, 1], [2, 171, 1, 1], [2, 969, 1, 1], [2, 3876, 1, 1], [2, 11628, 1, 1], [2, 27132, 1, 1], [2, 46512, 1, 1], [2, 50388, 1, 1], [2, 75582, 1, 1], [2, 92378, 1, 1], [2, 697680, 1, 1], [2, 4883760, 1, 1], [2, 21162960, 1, 1], [2, 63488880, 1, 1], [2, 126977760, 1, 1], [2, 139675536, 1, 1], [2, 232792560, 1, 1], [2, 299304720, 1, 1], [2, 1396755360, 1, 1], [2, 6983776800, 1, 1], [2, 20951330400, 1, 1], [2, 33522128640, 1, 1], [2, 41902660800, 1, 1], [2, 58663725120, 1, 1], [2, 234654900480, 1, 1], [2, 502831929600, 1, 1], [2, 703964701440, 1, 1], [2, 1173274502400, 1, 1], [2, 1508495788800, 1, 1], [3, 7752, 1, 1], [3, 17364480, 1, 1], [3, 13243310080, 1, 1], [3, 3178394419200, 1, 1], [3, 177990087475200, 1, 1], [3, 949280466534400, 1, 1], [4, 46512, 1, 1], [4, 93024, 1, 1], [4, 697680, 1, 1], [4, 1395360, 1, 1], [4, 4883760, 1, 1], [4, 9767520, 1, 1], [4, 21162960, 1, 1], [4, 39070080, 1, 2], [4, 42325920, 1, 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'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 4391, 'number_characteristic_subgroups': 3, 'number_conjugacy_classes': 4428, 'number_divisions': 4393, 'number_normal_subgroups': 3, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 15944266600786427904000, 'order_factorization_type': 321, 'order_stats': [[1, 1], [2, 4287531492351], [3, 1130462209111112], [4, 443596338630319104], [5, 27682734741594624], [6, 12553509355087352760], [7, 42368908042506240], [8, 55854082750292951040], [9, 50706732451046031360], [10, 43978597372324929024], [11, 280854488678400], [12, 587135040044314245120], [13, 53232727700275200], [14, 60326931784132915200], [15, 183946911686210469888], [16, 571887643323373977600], [17, 234474508835094528000], [18, 226097410098272993280], [19, 1678343852714360832000], [20, 285956731918410448896], [21, 3610580232801484800], [22, 4318137763430400000], [24, 931335438956974571520], [26, 41681225789315481600], [28, 470414236717685145600], [30, 846628660980104970240], [32, 498258331274575872000], [33, 5158735248044851200], [34, 703423526505283584000], [35, 19117556409575669760], [36, 332345227214743142400], [39, 42586182160220160000], [40, 437923597231545384960], [42, 209906997073389158400], [44, 131642115933339648000], [45, 25189726747770224640], [48, 240055942938152140800], [52, 268292947609387008000], [55, 6039494924540313600], [56, 451200599987532595200], [60, 949798353273492602880], [63, 47453174407102464000], [65, 122648204621434060800], [66, 174012947513317785600], [70, 153386030935100620800], [72, 318331711647645696000], [77, 103534198706405376000], [78, 229965383665188864000], [80, 265737776679773798400], [84, 561479800094038425600], [88, 158536741769183232000], [90, 191829457540711710720], [104, 153310255776792576000], [105, 3361266520503091200], [110, 90592423868104704000], [112, 142359523221307392000], [120, 446218016674786836480], [126, 205630422430777344000], [130, 367944613864302182400], [132, 271777271604314112000], [140, 242011189476222566400], [144, 110724073616572416000], [154, 310602596119216128000], [165, 48315959396322508800], [168, 114678504817164288000], [180, 66434444169943449600], [210, 69400267570387353600], [240, 132868888339886899200], [280, 56943809288522956800], [330, 144947878188967526400], [420, 28471904644261478400]], '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': 38, 'pgroup': 0, 'primary_abelian_invariants': [], 'quasisimple': False, 'rank': 2, 'rational': False, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 38, 'gens': [127093935859561689292981577007575032435953863, 141357536014807467574364044450835179483392143]}}, 'schur_multiplier': None, 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 2717000, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'C_2^{18}.A_{19}', 'transitive_degree': 38, 'wreath_data': None, 'wreath_product': False}
• ['group_order', 'group_counter'] [15944266600786427904000, 1] does not appear in gps_conj_classes
• group 15944266600786427904000.a does not appear in gps_qchar
• group 15944266600786427904000.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: 12035497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 15944266600786427904000, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 9699690, 'label': '15944266600786427904000.a.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': 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': False, 'solvable': False, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '15944266600786427904000.a', 'subgroup_hash': None, 'subgroup_order': 15944266600786427904000, 'subgroup_tex': 'C_2^{18}.A_{19}', 'supersolvable': False, 'sylow': 0}
  • id: 12035608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 510510, 'label': '15944266600786427904000.a.19.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '19.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': 19, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '839171926357180416000.a', 'subgroup_hash': None, 'subgroup_order': 839171926357180416000, 'subgroup_tex': 'C_2^{18}.A_{18}', 'supersolvable': False, 'sylow': 0}
  • id: 12035719
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.38.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '38.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': 38, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '419585963178590208000.a', 'subgroup_hash': None, 'subgroup_order': 419585963178590208000, 'subgroup_tex': 'C_2^{17}.A_{18}', 'supersolvable': False, 'sylow': 0}
  • id: 12035830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.171.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '171.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': 171, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 93241325150797824000, 'subgroup_tex': 'C_2^{18}.A_{17}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035941
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.342._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '342.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': 342, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 46620662575398912000, 'subgroup_tex': 'C_2^{18}.A_{17}', 'supersolvable': False, 'sylow': 0}
  • id: 12036052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.342._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '342.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': 342, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '46620662575398912000.a', 'subgroup_hash': None, 'subgroup_order': 46620662575398912000, 'subgroup_tex': 'C_2^{17}.A_{17}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.342._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '342.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': 342, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 46620662575398912000, 'subgroup_tex': 'C_2^{17}.A_{17}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.684._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '684.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': 684, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23310331287699456000.a', 'subgroup_hash': None, 'subgroup_order': 23310331287699456000, 'subgroup_tex': 'C_2^{17}.A_{17}', 'supersolvable': False, 'sylow': 0}
  • id: 12036385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.684._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '684.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': 684, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23310331287699456000.a', 'subgroup_hash': None, 'subgroup_order': 23310331287699456000, 'subgroup_tex': 'C_2^{17}.A_{17}', 'supersolvable': False, 'sylow': 0}
  • id: 12035498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.684._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '684.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': 684, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '23310331287699456000.b', 'subgroup_hash': None, 'subgroup_order': 23310331287699456000, 'subgroup_tex': 'C_2^{16}.A_{17}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035509
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.969.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '969.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': 969, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 16454351497199616000, 'subgroup_tex': '(C_2\\times A_4).C_2^{14}.C_2.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035520
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1368.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1368.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': 1368, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '11655165643849728000.a', 'subgroup_hash': None, 'subgroup_order': 11655165643849728000, 'subgroup_tex': 'C_2^{16}.A_{17}', 'supersolvable': False, 'sylow': 0}
  • id: 12035531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1938._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1938.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': 1938, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8227175748599808000, 'subgroup_tex': '(C_2\\times A_4).C_2^{14}.C_2.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1938._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1938.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': 1938, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8227175748599808000, 'subgroup_tex': '(C_2\\times A_4).C_2^{14}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035553
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1938._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1938.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': 1938, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8227175748599808000, 'subgroup_tex': '(C_2\\times A_4).C_2^{14}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035564
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2907.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2907.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': 2907, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 5484783832399872000, 'subgroup_tex': 'C_2^{18}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.3876._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3876.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': 3876, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4113587874299904000, 'subgroup_tex': '(C_2\\times A_4).C_2^{14}.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.3876._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3876.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': 3876, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4113587874299904000, 'subgroup_tex': '(C_2^{15}\\times C_6).A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035597
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.3876._.C', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3876.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': 3876, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 4113587874299904000, 'subgroup_tex': 'C_2^3:A_4.C_2^{14}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.5814._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5814.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': 5814, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2742391916199936000, 'subgroup_tex': 'C_2\\times C_2^{17}.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.5814._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5814.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': 5814, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2742391916199936000, 'subgroup_tex': 'C_2^{17}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035631
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.5814._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5814.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': 5814, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2742391916199936000, 'subgroup_tex': 'C_2^{17}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035642
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.5814._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5814.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': 5814, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2742391916199936000, 'subgroup_tex': 'C_2^{17}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035653
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.5814._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5814.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': 5814, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2742391916199936000, 'subgroup_tex': 'C_2^{17}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035664
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.5814._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5814.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': 5814, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2742391916199936000, 'subgroup_tex': 'C_2^{17}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035675
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.5814._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '5814.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': 5814, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2742391916199936000, 'subgroup_tex': 'C_2^{17}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.7752._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7752.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': 7752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2056793937149952000, 'subgroup_tex': 'C_2\\wr A_4.C_2^{14}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.7752._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7752.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': 7752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2056793937149952000, 'subgroup_tex': 'C_2^3:A_4.C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035708
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.7752._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7752.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': 7752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2056793937149952000, 'subgroup_tex': 'C_2^3:A_4.C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.7752._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7752.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': 7752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2056793937149952000, 'subgroup_tex': '(C_2^{15}\\times C_6).A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035731
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.7752._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7752.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': 7752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2056793937149952000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035742
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.7752._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '7752.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': 7752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2056793937149952000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035753
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{17}.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035764
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{16}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035775
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{17}.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{17}.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{16}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{16}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{16}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1371195958099968000.a', 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{16}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035842
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1371195958099968000.a', 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{16}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035853
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{17}.C_2^3.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035864
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.11628._.K', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '11628.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': 11628, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1371195958099968000, 'subgroup_tex': 'C_2^{18}.A_{14}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035875
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.15504._.A', 'maximal': False, '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': 1028396968574976000, 'subgroup_tex': 'C_2^3:A_4.C_2^{14}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035886
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.15504._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15504.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': 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': 1028396968574976000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035897
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.15504._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '15504.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': 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': 1028396968574976000, 'subgroup_tex': 'A_4.C_2^{14}.C_2^2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035908
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '685597979049984000.c', 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{16}.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035919
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{16}.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035930
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '685597979049984000.c', 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{16}.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12035942
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{17}.C_2^3.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035953
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '685597979049984000.b', 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{15}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035964
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '685597979049984000.a', 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{15}.A_{16}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035975
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{17}.C_2^2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035986
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': '(C_2\\times D_4).C_2^{14}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035997
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{17}.C_2^2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036008
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{17}.C_2^2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{17}.A_{14}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12036030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{17}.A_{14}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12036041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{18}.A_{14}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12036053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': 'C_2^{17}.C_2^2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.23256._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '23256.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': 23256, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 685597979049984000, 'subgroup_tex': '(C_2\\times D_4).C_2^{14}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.27132.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '27132.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': 27132, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 587655410614272000, 'subgroup_tex': 'C_2^{18}.A_{13}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.31008._.A', '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': False, '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': 514198484287488000, 'subgroup_tex': 'A_4.C_2^{14}.C_2^2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12036097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.31008._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31008.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': 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': 514198484287488000, 'subgroup_tex': 'A_4.C_2^{14}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.31008._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31008.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': 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': 514198484287488000, 'subgroup_tex': 'A_4.C_2^{14}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.31008._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31008.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': 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': 514198484287488000, 'subgroup_tex': '(C_2\\times A_4).C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.31008._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31008.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': 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': 514198484287488000, 'subgroup_tex': 'A_4.C_2^{14}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.31008._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31008.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': 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': 514198484287488000, 'subgroup_tex': 'A_4.C_2^{14}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.31008._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31008.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': 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': 514198484287488000, 'subgroup_tex': 'A_4.C_2^{14}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.31008._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31008.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': 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': 514198484287488000, 'subgroup_tex': '\\SL(2,3).C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.31008._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '31008.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': 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': 514198484287488000, 'subgroup_tex': '(C_2\\times A_4).C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '342798989524992000.a', 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{15}.A_{16}', 'supersolvable': False, 'sylow': 0}
  • id: 12036197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{17}.C_2^2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12036208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{17}.A_{14}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12036219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': '(C_2\\times D_4).C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{17}.C_2^2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12036241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{17}.C_2^2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12036252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': '(C_2\\times D_4).C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{17}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': '(C_2\\times D_4).C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{18}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{17}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{17}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{17}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': '(C_2^{15}\\times C_4).C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{17}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': '(C_2\\times D_4).C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': 'D_4:C_2.C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.46512._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '46512.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': 46512, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 342798989524992000, 'subgroup_tex': '(C_2^{15}\\times C_4).C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.50388.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '50388.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': 50388, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 316429836484608000, 'subgroup_tex': 'C_2^{18}.A_{12}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.54264._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54264.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': 54264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 293827705307136000, 'subgroup_tex': 'C_2^{18}.A_{13}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 12036419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.54264._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54264.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': 54264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 293827705307136000, 'subgroup_tex': 'C_2^{17}.A_{13}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.54264._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '54264.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': 54264, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 293827705307136000, 'subgroup_tex': 'C_2^{17}.A_{13}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.58140.a1.a1', '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': None, 'subgroup_hash': None, 'subgroup_order': 274239191619993600, 'subgroup_tex': 'C_2\\wr A_4.C_2.C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': 'A_4.C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': 'A_4.C_2^{14}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12036474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': 'A_4.C_2^{14}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12036477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': '(C_2\\times A_4).C_2^{14}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': 'A_4.C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': 'A_4.C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035501
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': 'A_4.C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': 'A_4.C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': '\\SL(2,3).C_2^{14}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': 'A_4.C_2^{14}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': 'A_4.C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035506
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.62016._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '62016.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': 62016, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257099242143744000, 'subgroup_tex': '(C_2^{15}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035507
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.69768.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '69768.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': 69768, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 228532659683328000, 'subgroup_tex': '(C_2\\times C_2^4:C_5).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035508
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.75582.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '75582.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': 75582, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 210953224323072000, 'subgroup_tex': 'C_2^{18}.A_{11}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': None, 'subgroup_hash': None, 'subgroup_order': 172598092627968000, 'subgroup_tex': 'C_2^{18}.A_{10}.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.A', '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': 171399494762496000, 'subgroup_tex': 'C_2^{18}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035514
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035515
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035517
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035518
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035521
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035522
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035523
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035525
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035527
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035528
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035529
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035530
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035532
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035533
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035534
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2\\times D_4).C_2^{14}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035538
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035539
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{16}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035544
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035545
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{17}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{16}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{16}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035550
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.93024._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '93024.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': 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': 171399494762496000, 'subgroup_tex': 'C_2^{16}.C_2.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.100776._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100776.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': 100776, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 158214918242304000, 'subgroup_tex': 'C_2^{18}.A_{12}.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 12035552
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.100776._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100776.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': 100776, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 158214918242304000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035554
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.100776._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100776.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': 100776, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 158214918242304000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035555
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.108528.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '108528.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': 108528, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 146913852653568000, 'subgroup_tex': 'C_2^{17}.A_{13}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 12035556
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.116280._.A', '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': False, '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': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137119595809996800, 'subgroup_tex': 'C_2\\wr A_4.C_2.C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.116280._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116280.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': 116280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137119595809996800, 'subgroup_tex': 'C_2\\wr A_4.C_2.C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035558
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.116280._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116280.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': 116280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137119595809996800, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035559
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.116280._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116280.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': 116280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137119595809996800, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035560
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.116280._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116280.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': 116280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137119595809996800, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035561
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.116280._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116280.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': 116280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137119595809996800, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035562
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.116280._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116280.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': 116280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137119595809996800, 'subgroup_tex': 'C_2\\wr A_4.C_2.C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035563
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.116280._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '116280.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': 116280, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 137119595809996800, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035565
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.124032._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124032.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': 124032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 128549621071872000, 'subgroup_tex': 'A_4.C_2^{14}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035566
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.124032._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124032.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': 124032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 128549621071872000, 'subgroup_tex': 'A_4.C_2^{14}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035567
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.124032._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124032.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': 124032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 128549621071872000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.124032._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124032.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': 124032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 128549621071872000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035569
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.124032._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124032.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': 124032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 128549621071872000, 'subgroup_tex': '(C_2^{15}\\times C_6).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035570
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.124032._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124032.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': 124032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 128549621071872000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035571
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.124032._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124032.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': 124032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 128549621071872000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035572
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.124032._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124032.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': 124032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 128549621071872000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035573
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.124032._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '124032.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': 124032, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 128549621071872000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.139536._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '139536.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': 139536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 114266329841664000, 'subgroup_tex': '(C_2\\times C_2^4:C_5).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.139536._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '139536.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': 139536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 114266329841664000, 'subgroup_tex': '(C_2\\times C_2^4:D_5).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.139536._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '139536.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': 139536, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 114266329841664000, 'subgroup_tex': '(C_2\\times C_2^4:D_5).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.151164._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '151164.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': 151164, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 105476612161536000, 'subgroup_tex': 'C_2^{18}.A_{11}.A_8', 'supersolvable': False, 'sylow': 0}
  • id: 12035579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.151164._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '151164.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': 151164, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 105476612161536000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.151164._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '151164.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': 151164, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 105476612161536000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.162792._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162792.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': 162792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 97942568435712000, 'subgroup_tex': 'C_2^{18}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.162792._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '162792.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': 162792, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 97942568435712000, 'subgroup_tex': 'C_2^{18}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.174420.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '174420.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': 174420, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 91413063873331200, 'subgroup_tex': 'C_2^{17}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': None, 'subgroup_hash': None, 'subgroup_order': 86299046313984000, 'subgroup_tex': 'C_2^{18}.A_{10}.A_9', 'supersolvable': False, 'sylow': 0}
  • id: 12035585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': 86299046313984000, 'subgroup_tex': 'C_2^{17}.A_{10}.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': None, 'subgroup_hash': None, 'subgroup_order': 86299046313984000, 'subgroup_tex': 'C_2^{17}.A_{10}.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.A', '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': 85699747381248000, 'subgroup_tex': 'C_2^{17}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{17}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{17}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035593
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{17}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{17}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035596
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{17}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035611
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.C_2.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{14}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{14}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{14}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{14}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035629
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035630
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035632
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{14}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035633
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035634
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': '(C_2^{14}\\times C_4).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035636
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035637
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035638
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.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': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035639
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035640
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035641
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 85699747381248000, 'subgroup_tex': 'C_2^{16}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035643
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.186048._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '186048.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 85699747381248000, 'subgroup_tex': 'C_2^{14}.A_{14}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035644
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.201552.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '201552.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': 201552, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 79107459121152000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 12035645
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': 68559797904998400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': 68559797904998400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035647
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': 68559797904998400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035648
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': 'C_2\\wr A_4.C_2.C_2^{12}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035649
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035650
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035651
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035652
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035654
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035655
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035656
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035658
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^3\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035659
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035660
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035661
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035662
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035663
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035665
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035666
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035667
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2\\times A_4:C_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.232560._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '232560.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': 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': 68559797904998400, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035669
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.248064._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '248064.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': 248064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 64274810535936000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035670
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.248064._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '248064.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': 248064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 64274810535936000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035671
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.248064._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '248064.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': 248064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 64274810535936000, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035672
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.248064._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '248064.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': 248064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 64274810535936000, 'subgroup_tex': '(C_2^{13}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035673
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.248064._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '248064.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': 248064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 64274810535936000, 'subgroup_tex': '(C_2^{13}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.248064._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '248064.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': 248064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 64274810535936000, 'subgroup_tex': '(C_2^{13}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035676
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.248064._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '248064.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': 248064, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 64274810535936000, 'subgroup_tex': '(C_2^{13}\\times C_6).A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035677
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.262144.a1.a1', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '262144.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': 262144, '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: 12035678
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.271320.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '271320.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': 271320, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 58765541061427200, 'subgroup_tex': 'A_4^2.C_2^2.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035679
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.279072._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '279072.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': 279072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 57133164920832000, 'subgroup_tex': '(C_2\\times C_2^4:C_5).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.279072._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '279072.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': 279072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 57133164920832000, 'subgroup_tex': '(C_2\\times C_2^4:C_5).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035681
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.279072._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '279072.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': 279072, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 57133164920832000, 'subgroup_tex': '(C_2\\times C_2^4:D_5).C_2^{12}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035682
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.302328.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '302328.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': 302328, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 52738306080768000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_8', 'supersolvable': False, 'sylow': 0}
  • id: 12035683
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{18}.A_{13}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035684
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{17}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035685
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{17}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{17}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035688
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{17}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035689
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{17}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{17}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{18}.A_{13}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{17}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.325584._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '325584.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': 325584, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 48971284217856000, 'subgroup_tex': 'C_2^{17}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035694
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^{16}.C_2^4.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035695
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^{16}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035696
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': '(C_2\\times C_2^2\\wr C_2).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^{17}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035700
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': '(C_2\\times Q_8:C_2^2).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^{16}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035703
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^{16}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^{16}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^{16}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^{16}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035709
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^{16}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035710
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.348840._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '348840.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': 348840, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45706531936665600, 'subgroup_tex': 'C_2^3.C_2^4.C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035711
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.352716.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '352716.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': 352716, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 45204262354944000, 'subgroup_tex': 'C_2^{18}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': 43149523156992000, 'subgroup_tex': 'C_2^{17}.A_{10}.A_9', 'supersolvable': False, 'sylow': 0}
  • id: 12035713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.A', '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': 42849873690624000, 'subgroup_tex': 'C_2^{16}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{16}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{16}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035716
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': '(C_2^{14}\\times C_4).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035717
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{16}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035718
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{16}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035724
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035725
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{16}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035726
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{16}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035727
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035728
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{16}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035729
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035730
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035732
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035733
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': '(C_2^{14}\\times C_4).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035734
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{16}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035736
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035737
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035738
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035739
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035740
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035741
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035743
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035744
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035745
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': '42849873690624000.a', 'subgroup_hash': None, 'subgroup_order': 42849873690624000, 'subgroup_tex': 'C_2^{15}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{13}.A_{14}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035747
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{13}.A_{14}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035748
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.372096._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '372096.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': 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': 42849873690624000, 'subgroup_tex': 'C_2^{14}.A_{14}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035749
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.406980._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '406980.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': 406980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 39177027374284800, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035750
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.406980._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '406980.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': 406980, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 39177027374284800, 'subgroup_tex': 'C_2.C_4^2:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035751
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.461890.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '461890.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': 461890, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '34519618525593600.a', 'subgroup_hash': None, 'subgroup_order': 34519618525593600, 'subgroup_tex': 'C_2^{18}.A_9^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 12035752
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': 34279898952499200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035754
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': False, '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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035755
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035756
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': False, '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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': None, 'subgroup_hash': None, 'subgroup_order': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035758
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035759
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035760
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035761
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035762
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035763
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times S_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035765
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^3\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035766
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4:C_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035767
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035769
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035770
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035771
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035772
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035773
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035774
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4:C_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4:C_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times S_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times S_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times S_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.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': 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': 34279898952499200, 'subgroup_tex': '(C_2^2\\times S_3).C_2^{12}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.465120._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '465120.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 34279898952499200, 'subgroup_tex': '(C_2\\times \\SL(2,3)).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.496128.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '496128.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': 496128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 32137405267968000, 'subgroup_tex': '(C_2^{13}\\times C_6).A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035805
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.542640._.A', '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': 29382770530713600, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.542640._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '542640.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': 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': 29382770530713600, 'subgroup_tex': 'A_4^2.C_2^2:C_4.C_2^{12}.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12035807
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.542640._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '542640.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': 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': 29382770530713600, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.542640._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '542640.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': 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': 29382770530713600, 'subgroup_tex': 'A_4^2.C_2^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.542640._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '542640.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': 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': 29382770530713600, 'subgroup_tex': 'A_4^2.C_2^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.542640._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '542640.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': 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': 29382770530713600, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.542640._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '542640.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': 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': 29382770530713600, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.558144.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '558144.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': 558144, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 28566582460416000, 'subgroup_tex': '(C_2\\times C_2^4:C_5).C_2^{12}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.604656.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '604656.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': 604656, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 26369153040384000, 'subgroup_tex': 'C_2^{18}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.651168._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '651168.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': 651168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24485642108928000, 'subgroup_tex': 'C_2^{17}.A_{13}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.651168._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '651168.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': 651168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24485642108928000, 'subgroup_tex': 'C_2^{17}.A_{13}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.651168._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '651168.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': 651168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24485642108928000, 'subgroup_tex': 'C_2^{17}.A_{13}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.651168._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '651168.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': 651168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24485642108928000, 'subgroup_tex': 'C_2^{16}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.651168._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '651168.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': 651168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24485642108928000, 'subgroup_tex': 'C_2^{16}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.651168._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '651168.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': 651168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24485642108928000, 'subgroup_tex': 'C_2^{16}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.651168._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '651168.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': 651168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24485642108928000, 'subgroup_tex': 'C_2^{16}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.651168._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '651168.H', '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': 651168, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 24485642108928000, 'subgroup_tex': 'C_2^{17}.A_{13}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{17}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{18}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2:C_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035829
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2\\wr C_2).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035834
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035835
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035836
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035837
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{17}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035838
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{17}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035839
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{17}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035840
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2\\wr C_2).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035841
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2.D_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035843
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035844
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035845
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035846
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035847
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035848
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035849
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035850
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035851
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035852
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2.D_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035854
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 420, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2.D_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035855
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 421, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035856
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 422, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035857
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 423, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2.D_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035858
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035859
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035860
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035861
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035862
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035863
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035865
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035866
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035867
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{17}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035868
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035869
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2:C_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035870
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035871
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 436, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2:C_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035872
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 437, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{17}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035873
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 438, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times C_2^2:C_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035874
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.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': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035876
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035877
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035878
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035879
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035880
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035881
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': '(C_2\\times D_4:C_2).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035882
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{15}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035883
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{15}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035884
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.697680._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '697680.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 697680, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22853265968332800, 'subgroup_tex': 'C_2^{15}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035885
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 449, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.705432._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '705432.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': 705432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22602131177472000, 'subgroup_tex': 'C_2^{18}.A_{12}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 12035887
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.705432._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '705432.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': 705432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22602131177472000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035888
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.705432._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '705432.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': 705432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22602131177472000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035889
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.705432._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '705432.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': 705432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22602131177472000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035890
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.705432._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '705432.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': 705432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22602131177472000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035891
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.705432._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '705432.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': 705432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22602131177472000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035892
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.705432._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '705432.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': 705432, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 22602131177472000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035893
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.744192._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '744192.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': 744192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21424936845312000.b', 'subgroup_hash': None, 'subgroup_order': 21424936845312000, 'subgroup_tex': 'C_2^{15}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035894
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 457, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.744192._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '744192.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': 744192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21424936845312000.b', 'subgroup_hash': None, 'subgroup_order': 21424936845312000, 'subgroup_tex': 'C_2^{15}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035895
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 458, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.744192._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '744192.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': 744192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21424936845312000.b', 'subgroup_hash': None, 'subgroup_order': 21424936845312000, 'subgroup_tex': 'C_2^{15}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035896
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.744192._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '744192.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': 744192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21424936845312000.b', 'subgroup_hash': None, 'subgroup_order': 21424936845312000, 'subgroup_tex': 'C_2^{15}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035898
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.744192._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '744192.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': 744192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21424936845312000.a', 'subgroup_hash': None, 'subgroup_order': 21424936845312000, 'subgroup_tex': 'C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035899
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.744192._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '744192.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': 744192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21424936845312000.a', 'subgroup_hash': None, 'subgroup_order': 21424936845312000, 'subgroup_tex': 'C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035900
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.744192._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '744192.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': 744192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21424936845312000.b', 'subgroup_hash': None, 'subgroup_order': 21424936845312000, 'subgroup_tex': 'C_2^{15}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12035901
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.744192._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '744192.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': 744192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '21424936845312000.a', 'subgroup_hash': None, 'subgroup_order': 21424936845312000, 'subgroup_tex': 'C_2^{14}.A_{15}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035902
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.744192._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '744192.I', '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': 744192, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 21424936845312000, 'subgroup_tex': 'C_2^{13}.A_{14}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12035903
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 465, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2\\wr A_4.C_2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035904
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 466, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'Q_8:C_2^2.D_6.C_2^{12}.C_2^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12035905
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 467, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'Q_8:C_2^2.D_6.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035906
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 468, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'Q_8:C_2^2.D_6.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035907
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 469, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035909
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 470, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035910
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 471, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035911
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 472, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035912
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 473, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035913
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 474, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035914
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 475, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035915
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 476, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035916
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 477, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035917
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 478, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035918
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 479, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2^3:A_4.C_2^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035920
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 480, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2^5.A_4.C_2^{12}.C_2^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12035921
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 481, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2^5.A_4.C_2.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035922
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 482, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2^5.A_4.C_2.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035923
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 483, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2^5.A_4.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035924
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 484, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2^5.S_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035925
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 485, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2^5.A_4.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035926
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 486, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.813960._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '813960.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': 813960, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19588513687142400, 'subgroup_tex': 'C_2^5.S_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035927
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 487, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.831402.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '831402.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': 831402, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 19177565847552000, 'subgroup_tex': 'C_2^{18}.A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035928
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 488, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.868224.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '868224.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': 868224, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 18364231581696000, 'subgroup_tex': 'C_2^{13}.A_{13}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035929
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 489, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.923780._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '923780.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': 923780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 17259809262796800, 'subgroup_tex': 'C_2^{18}.A_9.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035931
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 490, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.923780._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '923780.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': 923780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17259809262796800.b', 'subgroup_hash': None, 'subgroup_order': 17259809262796800, 'subgroup_tex': 'C_2^{17}.A_9^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 12035932
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 491, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.923780._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '923780.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': 923780, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '17259809262796800.b', 'subgroup_hash': None, 'subgroup_order': 17259809262796800, 'subgroup_tex': 'C_2^{17}.A_9^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 12035933
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 492, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035934
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 493, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035935
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 494, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035936
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 495, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035937
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 496, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035938
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 497, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035939
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 498, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035940
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 499, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035943
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 500, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035944
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 501, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035945
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 502, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035946
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 503, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035947
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 504, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035948
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 505, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035949
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 506, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035950
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 507, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4:C_4).C_2^{12}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035951
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 508, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035952
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 509, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035954
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 510, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035955
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 511, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035956
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 512, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035957
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 513, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035958
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 514, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035959
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 515, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035960
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 516, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times S_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035961
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 517, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035962
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 518, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035963
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 519, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035965
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 520, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035966
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 521, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035967
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 522, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035968
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 523, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035969
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 524, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times S_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035970
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 525, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times S_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035971
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 526, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035972
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 527, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035973
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 528, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035974
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 529, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times S_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035976
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 530, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035977
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 531, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035978
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 532, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035979
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 533, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035980
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 534, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035981
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 535, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035982
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 536, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035983
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 537, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.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': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035984
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 538, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035985
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 539, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times \\SL(2,3)).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035987
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 540, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times S_3).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035988
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 541, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{14}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035989
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 542, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{14}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035990
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 543, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035991
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 544, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{14}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035992
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 545, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times C_3:D_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035993
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 546, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times S_3).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035994
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 547, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{15}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035995
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 548, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{14}\\times C_6).C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12035996
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 549, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035998
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 550, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12035999
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 551, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{14}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036000
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 552, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times C_3:C_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036001
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 553, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{15}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036002
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 554, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036003
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 555, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036004
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 556, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times \\SL(2,3)).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036005
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 557, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036006
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 558, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times \\SL(2,3)).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036007
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 559, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.930240._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '930240.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': None, 'subgroup_hash': None, 'subgroup_order': 17139949476249600, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036009
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 560, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.976752.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '976752.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': 976752, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 16323761405952000, 'subgroup_tex': 'C_2^4:C_5.C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036010
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 561, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1058148.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1058148.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': 1058148, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 15068087451648000, 'subgroup_tex': 'C_2^{18}.A_{12}.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 12036011
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 562, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.A', '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': False, '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': 14691385265356800, 'subgroup_tex': 'A_4^2.C_2^3.C_2^{12}.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036012
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 563, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '(C_2\\times A_4^2).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036013
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 564, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036014
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 565, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036015
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 566, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': 'A_4^2.C_4.C_2^{12}.C_2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036016
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 567, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '(C_2\\times A_4^2).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036017
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 568, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036018
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 569, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 570, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 571, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 572, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '(C_2\\times A_4^2).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 573, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 574, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '(C_2\\times A_4^2).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 575, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 576, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 577, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 578, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 579, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 580, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1085280._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1085280.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': 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': 14691385265356800, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 581, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1116288.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1116288.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': 1116288, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 14283291230208000, 'subgroup_tex': 'D_{10}.C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 582, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1209312._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1209312.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': 1209312, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13184576520192000, 'subgroup_tex': 'C_2^{18}.A_{11}.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 12036034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 583, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1209312._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1209312.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': 1209312, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13184576520192000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 584, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1209312._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1209312.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': 1209312, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13184576520192000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 585, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1209312._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1209312.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': 1209312, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13184576520192000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 586, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1209312._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1209312.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': 1209312, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13184576520192000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 587, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1209312._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1209312.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': 1209312, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13184576520192000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 588, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1209312._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1209312.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': 1209312, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13184576520192000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 589, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1220940.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1220940.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': 1220940, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 13059009124761600, 'subgroup_tex': '(C_2\\times Q_8:C_2^2).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 590, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1302336.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1302336.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': 1302336, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 12242821054464000, 'subgroup_tex': 'C_2^{16}.A_{13}.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 12036043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 591, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.A', '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': 11426632984166400, 'subgroup_tex': 'C_2^{18}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 592, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 593, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 594, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 595, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 596, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 597, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 598, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 599, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 600, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 601, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 602, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 603, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 604, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 605, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 606, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 607, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 608, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 609, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 610, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 611, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 612, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 613, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 614, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 615, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 616, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 617, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 618, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 619, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 620, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 621, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 622, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 623, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 624, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 625, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 626, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 627, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 628, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 629, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 630, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 631, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 632, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 633, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 634, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 635, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 636, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.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': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 637, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 638, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 639, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 640, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 641, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 642, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 643, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 644, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 645, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 646, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2\\times C_2^2:C_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 647, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 648, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 649, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 650, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 651, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 652, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2\\times C_2^2:C_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 653, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 654, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 655, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 656, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 657, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 658, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 659, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2\\times C_2^2:C_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 660, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 661, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 662, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 663, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 664, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 665, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 666, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 667, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 668, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 669, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2\\times C_2^2:C_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 670, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 671, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 672, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 673, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 674, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 675, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 676, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 677, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 678, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 679, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 680, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 681, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 682, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 683, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 684, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 685, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 686, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 687, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2\\times C_2^2:C_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 688, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 689, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 690, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 691, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 692, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 693, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2\\times D_4).C_2^{12}.C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 694, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 695, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 696, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 697, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 698, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 699, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 700, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{14}.C_2^3.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 701, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 702, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 703, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 704, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 705, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 706, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 707, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 708, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 709, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 710, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 711, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 712, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.ER', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.ER', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 713, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.ES', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.ES', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 714, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.ET', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.ET', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{17}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 715, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 716, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 717, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 718, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 719, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 720, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.EZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.EZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 721, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.FA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.FA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2\\times D_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 722, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.FB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.FB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2\\times D_4).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 723, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.FC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.FC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2\\times Q_8).C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 724, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.FD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.FD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': '(C_2^{15}\\times C_4).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 725, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.FE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.FE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{16}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 726, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1395360._.FF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1395360.FF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 11426632984166400, 'subgroup_tex': 'C_2^{15}.C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 727, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1410864._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1410864.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': 1410864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11301065588736000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 12036195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 728, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1410864._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1410864.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': 1410864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11301065588736000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 12036196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 729, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1410864._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1410864.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': 1410864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11301065588736000, 'subgroup_tex': 'C_2^{17}.A_{12}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 12036198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 730, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1410864._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1410864.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': 1410864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11301065588736000, 'subgroup_tex': 'C_2^{16}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 731, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1410864._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1410864.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': 1410864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11301065588736000, 'subgroup_tex': 'C_2^{16}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 732, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1410864._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1410864.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': 1410864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11301065588736000, 'subgroup_tex': 'C_2^{16}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 733, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1410864._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1410864.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': 1410864, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 11301065588736000, 'subgroup_tex': 'C_2^{16}.A_{12}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 734, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1488384.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1488384.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': 1488384, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '10712468422656000.a', 'subgroup_hash': None, 'subgroup_order': 10712468422656000, 'subgroup_tex': 'C_2^{14}.A_{15}', 'supersolvable': False, 'sylow': 0}
  • id: 12036203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 735, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': 10547661216153600, 'subgroup_tex': 'C_2^{18}.A_{12}.\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 12036204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 736, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.A', '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': 9794256843571200, 'subgroup_tex': 'C_2.C_4^2:A_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 737, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^3.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 738, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 739, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 740, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 741, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 742, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2\\wr A_4.C_2.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 743, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2\\wr A_4.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 744, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^2.C_2^{12}.C_2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 745, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 746, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 747, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^3.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 748, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^2.C_2^{12}.C_2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 749, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^2.C_2^{12}.C_2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 750, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'Q_8:C_2^2.D_6.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 751, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 752, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 753, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 754, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 755, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 756, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 757, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 758, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 759, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 760, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 761, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 762, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 763, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 764, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 765, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 766, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 767, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'Q_8:C_2^2.D_6.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 768, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 769, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 770, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 771, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^3:A_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 772, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^5.A_4.C_2.C_2^{12}.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 773, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3.C_2^4.C_3.C_2^{12}.C_2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 774, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^5.S_4.C_2^{12}.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 775, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^5.A_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 776, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^5.A_4.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 777, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3.C_2^4.C_3.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 778, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:S_4.C_2.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 779, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 780, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2\\wr A_4.C_2.C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 781, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.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': 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': 9794256843571200, 'subgroup_tex': 'C_2\\wr A_4.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 782, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 783, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:S_4.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 784, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:A_4.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 785, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9794256843571200, 'subgroup_tex': 'C_2^3:S_4.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 786, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9794256843571200, 'subgroup_tex': 'C_2^4:C_3.C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 787, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9794256843571200, 'subgroup_tex': 'C_4^2:C_3.C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 788, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9794256843571200, 'subgroup_tex': '(C_2\\times C_2^2:S_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 789, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1627920._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1627920.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 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': 9794256843571200, 'subgroup_tex': '(C_2^3\\times A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 790, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1662804._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1662804.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': 1662804, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9588782923776000, 'subgroup_tex': 'C_2^{18}.A_{10}.A_8', 'supersolvable': False, 'sylow': 0}
  • id: 12036265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 791, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1662804._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1662804.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': 1662804, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9588782923776000, 'subgroup_tex': 'C_2^{17}.A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 792, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1662804._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1662804.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': 1662804, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9588782923776000, 'subgroup_tex': 'C_2^{17}.A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 793, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1662804._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1662804.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': 1662804, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9588782923776000, 'subgroup_tex': 'C_2^{17}.A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 794, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1662804._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1662804.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': 1662804, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9588782923776000, 'subgroup_tex': 'C_2^{17}.A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 795, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1662804._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1662804.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': 1662804, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9588782923776000, 'subgroup_tex': 'C_2^{17}.A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 796, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1662804._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1662804.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': 1662804, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9588782923776000, 'subgroup_tex': 'C_2^{17}.A_{10}.A_8.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 797, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1736448._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1736448.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': 1736448, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9182115790848000, 'subgroup_tex': 'C_2^{13}.A_{13}.A_6', 'supersolvable': False, 'sylow': 0}
  • id: 12036272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 798, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1736448._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1736448.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': 1736448, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9182115790848000, 'subgroup_tex': 'C_2^{12}.A_{13}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 799, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1736448._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1736448.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': 1736448, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9182115790848000, 'subgroup_tex': 'C_2^{12}.A_{13}.A_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 800, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1763580.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1763580.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': 1763580, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 9040852470988800, 'subgroup_tex': 'C_2^3.A_4^2.C_2.C_2^{10}.C_2^3.A_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 801, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1847560._.A', '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': 8629904631398400, 'subgroup_tex': 'C_2^{18}.A_9.A_9', 'supersolvable': False, 'sylow': 0}
  • id: 12036278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 802, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1847560._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1847560.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': 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': 8629904631398400, 'subgroup_tex': 'C_2^{17}.A_9.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 803, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1847560._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1847560.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': 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': 8629904631398400, 'subgroup_tex': 'C_2^{17}.A_9.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 804, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1847560._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1847560.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': 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': 8629904631398400, 'subgroup_tex': 'C_2^{17}.A_9.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 805, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1847560._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1847560.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': 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': 8629904631398400, 'subgroup_tex': 'C_2^{17}.A_9.A_9.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 806, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1847560._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1847560.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': 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': '8629904631398400.c', 'subgroup_hash': None, 'subgroup_order': 8629904631398400, 'subgroup_tex': 'C_2^{16}.A_9^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 12036283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 807, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1847560._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1847560.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': 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': '8629904631398400.c', 'subgroup_hash': None, 'subgroup_order': 8629904631398400, 'subgroup_tex': 'C_2^{16}.A_9^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 12036284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 808, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.A', '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': False, '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': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 809, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 810, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 811, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 812, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 813, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 814, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 815, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 816, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 817, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 818, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 819, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 820, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 821, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times S_4).C_2^{12}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 822, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 823, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 824, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 825, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 826, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 827, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 828, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 829, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 830, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 831, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 832, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 833, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times C_3:C_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 834, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 835, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 836, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times C_3:C_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 837, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 838, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times C_3:C_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 839, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 840, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 841, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 842, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^2\\times S_3).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 843, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 844, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{12}\\times C_6).C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 845, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{12}\\times C_6).C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 846, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 847, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 848, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 849, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{15}\\times C_6).A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 850, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 851, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 852, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 853, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.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': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 854, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 855, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 856, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{12}\\times C_6).C_2^3.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 857, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^2\\times A_4).C_2^{12}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 858, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times \\SL(2,3)).C_2^{12}.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 859, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 860, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 861, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2\\times A_4).C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 862, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 863, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 864, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 865, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{13}\\times C_6).C_2^2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 866, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{12}\\times C_6).C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 867, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': 'D_6.C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 868, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 869, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 870, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': 'D_6.C_2^{12}.C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 871, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036355
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 872, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{14}\\times C_6).A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 873, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1860480._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1860480.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1860480, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8569974738124800, 'subgroup_tex': '(C_2^{12}\\times C_6).C_2^2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 874, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1953504._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1953504.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': 1953504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8161880702976000, 'subgroup_tex': 'C_2^4:C_5.C_2^{12}.C_2^3.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 875, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1953504._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1953504.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': 1953504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8161880702976000, 'subgroup_tex': 'C_2^4:D_5.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 876, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1953504._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1953504.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': 1953504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8161880702976000, 'subgroup_tex': 'C_2^4:D_5.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036360
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 877, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1953504._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1953504.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': 1953504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8161880702976000, 'subgroup_tex': 'C_2^4:C_5.C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 878, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1953504._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1953504.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': 1953504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8161880702976000, 'subgroup_tex': 'C_2^4:D_5.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036362
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 879, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1953504._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1953504.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': 1953504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8161880702976000, 'subgroup_tex': '(C_2\\times C_2^4:D_5).C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 880, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.1953504._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1953504.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': 1953504, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8161880702976000, 'subgroup_tex': '(C_2\\times C_2^4:D_5).C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 881, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 882, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{18}.A_{12}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12036367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 883, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{18}.A_{12}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12036368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 884, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{18}.A_{12}.A_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 885, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 886, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 887, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 888, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 889, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 890, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 891, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 892, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 893, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 894, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 895, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{17}.A_{12}.S_5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 896, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{18}.A_{12}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12036382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 897, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2116296._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2116296.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': 2116296, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7534043725824000, 'subgroup_tex': 'C_2^{18}.A_{11}.A_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 12036383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 898, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 899, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 900, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^2.C_2^{12}.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 901, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': '(C_2\\times A_4^2).C_2^{12}.C_2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 902, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 903, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 904, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 905, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 906, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 907, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 908, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 909, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': '(C_2\\times A_4^2).C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 910, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2^2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 911, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 912, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 913, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 914, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 915, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^2.C_2^{12}.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 916, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 917, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 918, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 919, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 920, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': '\\PSOPlusPlus(4,3).C_2^{12}.C_2.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 921, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_4.C_2^{12}.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 922, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 923, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': '(C_2\\times A_4^2).C_2^{12}.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 924, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': 'A_4^2.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 925, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2170560._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2170560.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': 2170560, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7345692632678400, 'subgroup_tex': '(C_6\\times A_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 926, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2232576._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2232576.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': 2232576, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7141645615104000, 'subgroup_tex': '(C_2^{13}\\times C_{10}).C_2.A_{14}', 'supersolvable': False, 'sylow': 0}
  • id: 12036416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 927, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2232576._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2232576.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': 2232576, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7141645615104000, 'subgroup_tex': '(C_2^{12}\\times C_{10}).C_2.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 928, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2232576._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2232576.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': 2232576, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7141645615104000, 'subgroup_tex': 'D_{10}.C_2^{12}.A_{14}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 929, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2267460.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2267460.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': 2267460, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 7031774144102400, 'subgroup_tex': 'C_2^7.C_2^4.C_2^{10}.A_{11}.\\PSL(2,7)', 'supersolvable': False, 'sylow': 0}
  • id: 12036420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 930, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2418624._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2418624.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': 2418624, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6592288260096000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 12036421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 931, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2418624._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2418624.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': 2418624, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6592288260096000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 12036422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 932, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2418624._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2418624.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': 2418624, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6592288260096000, 'subgroup_tex': 'C_2^{17}.A_{11}.A_7', 'supersolvable': False, 'sylow': 0}
  • id: 12036423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 933, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2418624._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2418624.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': 2418624, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6592288260096000, 'subgroup_tex': 'C_2^{16}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 934, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2418624._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2418624.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': 2418624, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6592288260096000, 'subgroup_tex': 'C_2^{16}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 935, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2418624._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2418624.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': 2418624, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6592288260096000, 'subgroup_tex': 'C_2^{16}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 936, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2418624._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2418624.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': 2418624, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6592288260096000, 'subgroup_tex': 'C_2^{16}.A_{11}.A_7.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 937, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': 'C_2^{16}.C_2^4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 938, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times D_4).C_2^{12}.C_2^4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 939, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times D_4).D_4.C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 940, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^4.A_{13}', 'supersolvable': False, 'sylow': 0}
  • id: 12036432
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 941, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': 'C_2^{17}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036433
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 942, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times C_2^2\\wr C_2).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036434
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 943, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': 'C_2^3.C_4.C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 944, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times D_4).C_2^{12}.C_2^4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 945, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': 'Q_8:C_2^2.C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 946, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': 'C_2^4.(C_2\\times C_4).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 947, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036439
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 948, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036440
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 949, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036442
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 950, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times C_2^2.D_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036443
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 951, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036444
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 952, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times C_2^2\\wr C_2).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036445
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 953, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 954, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': 'C_2^{16}.C_2^4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 955, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': 'C_2^{17}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036448
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 956, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times C_2^2.D_4).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036449
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 957, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times C_2^2\\wr C_2).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036450
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 958, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times Q_8:C_2^2).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 959, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036453
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 960, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 961, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 962, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^{14}\\times C_4).C_2^4.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036456
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 963, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': 'C_2.(C_2^5.C_2).C_2^{12}.C_2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 964, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 965, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2^2\\times D_4).C_2^{12}.C_2^3.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 966, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': '(C_2\\times C_2^2\\wr C_2).C_2^{12}.C_2^2.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 967, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2441880._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2441880.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': 2441880, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6529504562380800, 'subgroup_tex': 'C_2^{15}.C_2^5.A_{13}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 968, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2490368.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2490368.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': 2490368, 'quotient_simple': 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.b', 'subgroup_hash': None, 'subgroup_order': 6402373705728000, 'subgroup_tex': 'C_2.A_{18}', 'supersolvable': False, 'sylow': 0}
  • id: 12036462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 969, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2604672.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2604672.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': 2604672, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6121410527232000, 'subgroup_tex': 'C_2^{14}.A_{13}.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 12036464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 970, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.2645370.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '2645370.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': 2645370, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6027234980659200, 'subgroup_tex': 'C_2^6.A_4^2.C_2.C_2^{10}.C_2^3.A_{11}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 12036465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 971, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '15944266600786427904000.a.1856156927625.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1856156927625.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': 1856156927625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 8589934592, 'subgroup_tex': 'C_2^9.C_2^6.C_2^5.C_2^6.C_2^6.C_2', 'supersolvable': True, 'sylow': 2}
  • id: 12036466
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 262144, 'counter': 972, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.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': False, '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': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '44826624.a', 'subgroup_hash': None, 'subgroup_order': 44826624, 'subgroup_tex': '(C_2^{18}.C_{19}):C_9', 'supersolvable': False, 'sylow': 0}
  • id: 12036467
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 262144, 'counter': 973, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '15944266600786427904000.a.60822550204416000._.A', 'maximal': False, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '60822550204416000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '60822550204416000.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 60822550204416000, 'quotient_simple': True, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'A_{19}', 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 262144, 'subgroup_tex': 'C_2^{18}', 'supersolvable': True, 'sylow': 0}
  • id: 12036468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 974, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '15944266600786427904000.a.2430157994328064000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '2430157994328064000.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': 2430157994328064000, 'quotient_simple': 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: 12036469
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 975, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '15944266600786427904000.a.127554132806291423232.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '127554132806291423232.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': 127554132806291423232, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '125.5', 'subgroup_hash': None, 'subgroup_order': 125, 'subgroup_tex': 'C_5^3', 'supersolvable': True, 'sylow': 5}
  • id: 12036470
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 976, 'cyclic': False, 'direct': None, 'hall': 7, 'label': '15944266600786427904000.a.325393195934416896000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '325393195934416896000.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': 325393195934416896000, 'quotient_simple': 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: 12036471
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 977, 'cyclic': True, 'direct': None, 'hall': 19, 'label': '15944266600786427904000.a.839171926357180416000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '839171926357180416000.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': 839171926357180416000, '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: 12036472
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 978, 'cyclic': True, 'direct': None, 'hall': 17, 'label': '15944266600786427904000.a.937898035340378112000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '937898035340378112000.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': 937898035340378112000, '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: 12036473
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 979, 'cyclic': True, 'direct': None, 'hall': 13, 'label': '15944266600786427904000.a.1226482046214340608000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1226482046214340608000.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': 1226482046214340608000, '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: 12036475
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 980, 'cyclic': True, 'direct': None, 'hall': 11, 'label': '15944266600786427904000.a.1449478781889675264000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '1449478781889675264000.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': 1449478781889675264000, '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: 12036476
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '15944266600786427904000.a', 'ambient_counter': 1, 'ambient_order': 15944266600786427904000, 'ambient_tex': 'C_2^{18}.A_{19}', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 981, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '15944266600786427904000.a.15944266600786427904000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '15944266600786427904000.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '15944266600786427904000.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 15944266600786427904000, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^{18}.A_{19}', '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: 12035497
    {'ambient': '15944266600786427904000.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': [127093935859561689292981577007575032435953863, 141357536014807467574364044450835179483392143], 'label': '15944266600786427904000.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: 12035521
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [6227388847, 27168551372926206829787662505640, 1313941673647, 26576223382969420998143956091607204496, 10888895782100161903217841216, 10333156226082815127906723164839156419696, 355693695401647, 7, 15537062060069870960640000, 13774086239201583842108836475245451988794758, 5167, 40284847, 17901146885208034268739230903735388846, 10351040863297636089771284618129435529904, 8691540457466064418335919964160000000, 13763779675672759072285514629248730631146030, 17901119750160875038676231673409384903, 8852666400252302021708931958342, 10341831284004972327373616100029040799129, 121, 13774086239192731191245646232918425600000000, 13763761774543974747072889209051487517321815, 8841777530802653066144072124103, 8852650889093349989862848681647, 10351041109974939057605626059789280721574, 8691540468402788358256886063092893791, 10333156198190403897164857718050350013432, 51091299173079209647, 13774104140321333987472663706055429123054928, 10888869501631296434256041647, 13774094930733199546205420266035113069731494, 363007, 13763753099458025462487693192203247793495271, 122002101778601647, 13774086239192731206757978105449592869961559, 25903107681056686080000, 10333156198077449996682819052948928681647], 'label': '15944266600786427904000.a.93024._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035498
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 342, 'diagramx': None, 'generators': [121, 42045587911346805715375113795906311909739007, 42045605668626027735917100316470067884521646, 39916801, 8841761993739701954543616000001, 8691540457627460964977618186723385721, 8222838669689132861056548864005160, 42045587953522010425513543210421854780183686, 6227020801, 42045579075234076546720399220942471124910057, 1307674368001, 8691549310132464721729240812992681646, 42045605651448595799391004156014123369564841, 42045587766765681185065782218878633261565225, 18315932852964333217455666391270, 228931534208934443812528258722275761, 8683326460589418312179207978040220799, 42045579075234065496344457145348554276929153, 51090942171709440001, 355687428096001, 7, 42045587758551684292694910367512988955863375, 42045587758551684308230901694602812168303942, 42045587936545827704709282566444603668356168, 42045587809489718388617307680830833972725166, 10889408971030167404596615657, 10888869450418352160768000001, 8683317629700756639693625509150211510, 26601413562874074147878176388223396486, 186765170954828881077790953648888366, 10921429450610607593604026752, 169780146520101178630299978433150057, 42045587766765681184903925857628089203045409, 42045579126172099834729763977607590402560592, 25852016738884976640001, 42045579083448073261941853593947723244501816, 42045587758551695181725839927560624784132423, 42045587758542842611115608257564481935690833, 362881, 15511210043330985984000120, 42045820366229849610601670619029237085624246, 8852651402818798577159586357823, 121645100408832001, 5041], 'label': '15944266600786427904000.a.684._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '684.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '684._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035499
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13816617663374365039757582493047999127234888, 13774104140321333987446863296969444257896816, 5041, 13763770984123392091261407903223739914257054, 7, 31607810616998677278119798134407168000001, 42522214602171366727135999053629972613545, 8691549310149244984807474184285085784, 52855354345707953124071266059476336640001, 15511318118428799146642144, 52855354418892286163038481581368397557833, 10341831284004956816162169531924480000000, 8691540457466064418335919964160000000, 13763779675663724907921109871655248275205177, 21283345977062217359237948593668096000001, 51090942171709440001, 21274654427762989301079910719160320000000, 13816626338514697548199628234333202550269768, 13774104140312492225453073011338681113496614, 13774104140321323114115493172926522424221665, 121, 13816617663374195221735822192245761865225463, 121645100408832001, 6227020801, 13774112815407272383188617380950738688310377, 1307674368001, 362881, 27157647018168731181289473463681, 13774104140321514709850090754753235943648935, 52855354345707968609429292651577344000001, 355687428096001, 13774104140312695516667550050265645149278223, 13774112815407261494292353571811084344718072, 39916801, 13795351684068336579454873958864958136740607, 42513523061951456165660458265285440199759, 42513523070544773813873618801463026160425], 'label': '15944266600786427904000.a.62016._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035500
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13774104132098484459937621446143131253661665, 5041, 7, 13774104132089856862489627232540082309195023, 31607810616998677278119798134407168000001, 42522214602171366727135999053629972613545, 13816626346691814033622317710440163105308663, 8691549310149244984807474184285085784, 52855354345707953124071266059476336640001, 15511318118428799146642144, 13763770992346230745439330720949302794257055, 52855354418892286163038481581368397557833, 10341831284004956816162169531924480000000, 8691540457466064418335919964160000000, 21283345977062217359237948593668096000001, 13816617655197067847443682297786640502269768, 51090942171709440001, 21274654427762989301079910719160320000000, 13774104132098495333268940479599568805992816, 121, 6227020801, 121645100408832001, 13774104132089653571275150193613118233496615, 362881, 1307674368001, 27157647018168731181289473463681, 13774112823630100148470276511181747633550072, 13785018536101950434525207307527434936740606, 13774112823630111037366489107734129858870377, 355687428096001, 52855354345707968609429292651577344000001, 13774104132098676055672167815382572654816935, 39916801, 13763779667440886253743187053929685395205183, 42513523061951456165660458265285440199759, 42513523070544773813873618801463026160425, 13816626346691983851644078011242400407234889], 'label': '15944266600786427904000.a.62016._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035501
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [21265444875605388209227725946532536740607, 5041, 10351040872331009356188355446770663648935, 7, 42522214602171366727135999053629972613545, 52855354345707953098219249320591360000000, 8691549310149244984807474184285085784, 15511318118428799146642144, 52864563970733689997153134557898870269768, 10351040872150286952960897662978977896816, 52855354418892286163038481581368397557833, 10341831284004956816162169531924480000000, 31616485711778834986692498603245568000001, 10359732403755102154296807955744824718072, 8691540457466064418335919964160000000, 10351040863308524959170612032215833496614, 52873255465638805328098429661498007234888, 51090942171709440001, 10359732403765991050560617095399168310377, 121, 26576214541207427207472348782995205177, 121645100408832001, 6227020801, 362881, 1307674368001, 10351040872139413621590773620057144221665, 27157647018168731181289473463681, 15511210043330985984000001, 31607810616987788434521396521131376640001, 10351040863511816173647650959179869278223, 355687428096001, 31607810625829550402409081736790016000001, 39916801, 17901119885699123351139368400394257054, 42513523061951456165660458265285440199759, 42513523070544773813873618801463026160425, 52873255465468987306338128859260745225463], 'label': '15944266600786427904000.a.62016._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035502
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31008, 'diagramx': None, 'generators': [42077777351705487291527319082153039643121846, 70328013425950987702519134495179428511107192, 5046, 21274654427763004838193322365001948423656, 70349260969917611130100084616583126878492454, 7, 1307674368120, 70328004208140094040006399265138458345450590, 70349260969670651909620448298490920960000000, 98620763023505286675046399421046332409085745, 355693655116800, 42077768133638418730805222893146792922572113, 42513523061702996282057079788666880000000, 17892897057933814929830541011806319568, 17892905753253154112222245455705379198, 51090942171709440006, 98620763023505275770639885028310384640000000, 98620753805703155341594920757087191481631422, 70317089804301222650641197031063777834039080, 98599497044172292954559709432982920490248839, 70349260969670651909620501560595110226845790, 98620763023505286659510085158228073302287926, 98588582640187120265109571782133678120279680, 126, 25852016738884976640001, 70328013425941931744930898428952576000363000, 70317089804154638641922274305998450081111702, 6227020806, 121645100408832006, 42045579075243527923871018798638097338368120, 8841809848178113626316298469550, 18315885024429029226745857100806, 42513523061713885177412776982600484412806, 8841761993739701954543616000001, 42077777351440290731015178952714420224000001, 98599497044181134701067183890091391032741046, 42513523070544758301648798839150578493398, 98599497044337181137338254718547185502731641, 42077768133884859608754934290983128225286814, 42513523061713885151507498496515076096000], 'label': '15944266600786427904000.a.62016._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035503
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31008, 'diagramx': None, 'generators': [13774094930733188657310115781425661878272000, 42035263828378587719247814937275824046080000, 28314024251999948792541454983751619148868416, 13774094930733188657310064690839183826742521, 52855354354640100316007475403492848846007, 28281852560213419879950684201010295997868207, 7, 6227383680, 42088119182724295672508212327015187262266857, 84814496401003230835857665251169796096000001, 355687428458880, 84867343080245316884764782141397991424000001, 6266937600, 1307714284800, 28303082753761410602321525813707731994373623, 42035263828378587719221911829594767360000000, 13774094930733188657310064568838389760000000, 52855354354549730629021133345800044110929, 52855354345707953394419176365726204451919, 98599488369086365447714276784000120934607432, 121, 70359585434319419242663619431634042880000000, 10888869501509654130737546887, 8841809848178113626316298469550, 18315885024429029226745857100806, 362886, 84814496400994389089375186683489724115125759, 31607810616987788408669379782246400000000, 28303082753752579729223246810496864220092096, 31607810616987788434572609109711558742976, 13785036428980568625008555847077872380201904, 28303082753752568824816576068420894720005046, 13806266622510897601182471960888549939561622, 28303082753752579713686077577715227197440000, 13774094930733188657310064690483490168832001], 'label': '15944266600786427904000.a.62016._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035504
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31008, 'diagramx': None, 'generators': [13774094930733188657310115781425661878272000, 98578258175547194694060140350945099776000001, 42088110491192679983787101216670044748868416, 84835735269637181747220374384693655654607432, 13774094930733188657310064690839183826742521, 52855354354640100316007475403492848846007, 84867351755340097026962144798535843840000000, 7, 6227383680, 70349260969670651909620448298490920960000000, 28314032943531564481262566094096761662266857, 98620763023505275786151095071641370624000001, 98578258175538352947577661783265027795125759, 355687428458880, 6266937600, 42066835836756075216954632832276234240005046, 1307714284800, 13774094930733188657310064568838389760000000, 52855354354549730629021133345800044110929, 52855354345707953394419176365726204451919, 42045596968122146114380168264396797117868207, 121, 10888869501509654130737546887, 42066835836764916994459582577563071514373623, 42066835836756086121361303574352203740092096, 18315885024429029226745857100806, 8841809848178113626316298469550, 28271519420469861484818330873889322926080000, 362886, 31607810616987788408669379782246400000000, 42066835836756086105824134341570566717440000, 31607810616987788434572609109711558742976, 13785036428980568625008555847077872380201904, 13806266622510897601182471960888549939561622, 13774094930733188657310064690483490168832001], 'label': '15944266600786427904000.a.62016._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035661
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280448384521077569617920000000, 121646408123121961, 28271537330342989524898558544426991956025606, 7, 42035272511696229131021403049834561234440550, 10377625309508355307927430861684736000000, 51212587278385214760, 5160, 6266937607, 13774112832392286284266160576615940096000000, 126, 1313901388921, 356995102826886, 15511210043330985984000001, 10904406563691366305216681647, 367920, 8841777504949745285529600000000, 25903229683158464681647, 8683326460573880235220148944896000000, 40279680, 28271510737161084434899671949968408576000000, 8231680416171662519680106496000000], 'label': '15944266600786427904000.a.232560._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035505
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31008, 'diagramx': None, 'generators': [42077777351705487291527319082153039643121846, 13774112823630246591124994399379401566319568, 56543012256502364916741046408999988641111702, 70328013425950987702519134495179428511107192, 21274654427763004838193322365001948423656, 5046, 70349260969917611130100084616583126878492454, 7, 1307674368120, 70349260969670651909620448298490920960000000, 98620763023505286675046399421046332409085745, 355693655116800, 56574575589785354980911513634426240745450590, 42513523061702996282057079788666880000000, 84867325187348416282500035126374973881631422, 51090942171709440006, 98620763023505275770639885028310384640000000, 98599497044172292954559709432982920490248839, 70349260969670651909620501560595110226845790, 98620763023505286659510085158228073302287926, 98588582640187120265109571782133678120279680, 56543012256648948925459969134065316394039080, 126, 25852016738884976640001, 70328013425941931744930898428952576000363000, 121645100408832006, 6227020806, 28324339515530120549660048660270910625286814, 8841809848178113626316298469550, 18315885024429029226745857100806, 42513523061713885177412776982600484412806, 13774112823638941910464176791083845465379198, 8841761993739701954543616000001, 42077777351440290731015178952714420224000001, 98599497044181134701067183890091391032741046, 42513523070544758301648798839150578493398, 98599497044337181137338254718547185502731641, 28271501527591254198689790901639635898368120, 28324339515283679671710337262434575322572113, 42513523061713885151507498496515076096000], 'label': '15944266600786427904000.a.62016._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035506
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [10904406563569364203477996920, 13774104132098484459937621446143131253661665, 42531415958795194334013442404010647234889, 5041, 8852666400303392963853689937840, 10341839506843610994084987257487360000001, 10351040872331009356188355446770663648935, 7, 51212587278345292801, 42522214602171366727135999053629972613545, 42522214602408922230078794185249600199759, 363000, 13816626346691814033622317710440163105308663, 42522214602160462346475415708631040000000, 13816626346737525313508100633706604662269768, 6227025847, 15511210164976092659774760, 10351040863308524959170612032215833496614, 52846671101273474276542963386967117557713, 10341839534001258012253718438776833463680, 25852017094572445015806, 26584437379861605130290074345875205183, 13763779675663724892436873547338778368310377, 10351040863297636089878472035780664718072, 13774094930733188657310064568838389760000000, 10341839506843626505403105686286506642150, 13774104132098495333268940479599568805992816, 13763753091235197729496546053135122525085790, 121, 13774104132089778236191074554561263114257055, 1313941310761, 121645100449111807, 13763779675663928183624378917122523229278223, 355693695038761, 39916801, 13795351684068336579454873958864958136740607, 13806275305837347286194271536302329586160431], 'label': '15944266600786427904000.a.62016._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035507
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '69768.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': 69768, 'diagramx': None, 'generators': [5041, 13774094930742030741962983839640872041324016, 7, 10333147975238795818708788384420236205953, 10904406563691364997542308486, 13774086239201572968750647191146921102839471, 113096313192399022441383836042921876029802886, 8691540457481575679470194496629135049, 8231691320578226089044316161469144, 13774086239192957115095459039949652167305929, 8691540468354959772886341370471779430, 13763761782775644386755210713771472198588783, 15511210164976086392837160, 13763753091226345061853041763297181443840001, 13763761774543963858202526195990018482313889, 13774094922519191765719461141874592934866328, 28271492853017528206411427023436100240460800, 8691549310422862729850186375101983055, 9090189587853292224708353520712, 10333147966386144955518789721508585472127, 10904406512600067138404772486, 8222872159658365233216345830476801, 13774094922510360892027495279409823138545143, 6266937726, 121, 10904406563691366305216681647, 13763753099458036366868353781915688330485454, 13774094922519202669506541914750517288319569, 25852016738884976640001, 10888895302435091052011582760, 8231703016084607009495222074269670, 42109393828929230911849800650330994115660927, 355687428101040, 8683317618811912398747521866049280001, 121645100408837161, 8222849558558583279764403327038760, 39916801, 13774094930733199546179567996215482608431873, 13774086247424422496286759292597107216954937, 8691540457821014963592576581221762553, 8841762019642931282008385280001], 'label': '15944266600786427904000.a.69768.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '69768.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '69768.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035508
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '75582.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': 75582, 'diagramx': None, 'generators': [13763753099458025462513545210055090592722351, 8231680416197565749363264920764841, 368046, 8691549299243595271310888652224681647, 51212587278385209607, 121, 122000794103865600, 7, 8222838654177922939370663328753840, 10333156189224814644702742077224261744041, 8691540457481575786774332123549753606, 25852017094578671673600, 6266937607, 10904380660583328247200753846, 5167, 28292758289112643253767195849820896209003007, 42035272528690716380756990390966071982186886, 42035245935490528894436418883040257881180846, 8222838669715035969094600692828847, 13774094930733199561716628260204688709744047, 10888869450539997267403852801, 25852016738891203660921, 39921847], 'label': '15944266600786427904000.a.75582.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '75582.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '75582.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035509
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '969.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': 969, 'diagramx': None, 'generators': [8231680416197565749363264920764841, 368046, 8691549299243595271310888652224681647, 51212587278385209607, 121, 122000794103865600, 7, 28303082753752568840353638128490765681003007, 8222838654177922939370663328753840, 10333156189224814644702742077224261744041, 25852017094578671673600, 6266937607, 28271501544557985672475845481356852237393967, 10904380660583328247200753846, 5167, 8222838669715035969094600692828847, 13774094930733199561716628260204688709744047, 10888869450539997267403852801, 25852016738891203660921, 39921847, 10333164942602678418544263930914926725425, 17003318106161931420581534269807926], 'label': '15944266600786427904000.a.969.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '969.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '969.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035510
    {'ambient': '15944266600786427904000.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': [10888869450539997267403852801, 368046, 13763771001126597244765793375693576314044841, 10341831284004972327423681549241691400544, 8222838669715035969094600692828847, 122000794103865600, 6266937607, 8222838654177922939370663328753840, 39921847, 121, 25852017094578671673600, 10904380660583328247200753846, 42035254618808147706348659626023137491953967, 13774094930733199561716628260204688709744047, 7, 13774086247415569860960682458861201184569600, 25852016738891203660921, 5167, 8691549299243595271310888652224681647, 8231680416197565749363264920764841, 51212587278385209607, 42056511380338988315620237369826569200732847, 10333156189224814644702742077224261744041], 'label': '15944266600786427904000.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: 12035511
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [6267305641, 5041, 355687428096001, 10333156198077497799365862658879208344630, 8841761993790792896715325440000, 121, 10341831284004956816162169531924480000000, 8231691305041164028974438973440007, 10333147966386144929666651337523200000001, 51090942171709440001, 368041, 25852016738884976640001, 1313941673640, 8231691320578226211046411712681647, 10888869450418352160768000001, 8231691305041164028974438973440000, 13774086239192731191245646232918425600000000, 13763753091253513582203547762172962541568126, 39916801, 122002101778601640], 'label': '15944266600786427904000.a.93024._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035512
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [28281825984026024624037568875326379083940486, 121, 39916801, 42035263828378587734733121872925753344000001, 17901119750145363826206399490275072126, 28281834675539336138562201185352807943351800, 6227020801, 42035245927267679351414739525069580276022406, 17901119750160875037139306222185502080, 28281825983998889576878285172485452866653439, 13774086239192731191757225081183847122493392, 1307674368001, 42035254618808430430415123016074780047178167, 42035254618808147706348608157342224820912121, 28281852560222250737537911301774770176000001, 26576479478306777494214866971633465721, 8691540457481601531487289061896021639, 51090942171709440001, 355687428096001, 7, 26576223372065659718418517931019287345, 13774086239192731191245646232918425600000000, 26576223372065066138729357757201400447, 27168568179092393454282823176544, 13774094930733199546179514987190550528000001, 8691540457466090270352658849136640001, 17901128591922842923933835925714033961, 26576214530303450221667774994410184383, 13774112815407272383187495557031489209963447, 28281834675539336154099156711031809592663681, 13774112815416103272390773768972057671234265, 362881, 42035263828378598623898342878521916113699718, 13774094930742030434948928661362141670209967, 42035263828387429481215702744507533037814993, 8691540457466064418335919964160000000, 28281834675548188789533509849397640800859849, 28281843885118628817835598899351388160000000, 121645100408832001, 13774094930861410967416682183958976996363561, 42035263828387429481323714374995990698248649, 42035254618799295055459617111237499453807942, 5041, 42035263828378598608199425091046289316751049], 'label': '15944266600786427904000.a.93024._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035513
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [28271519420469861500329489948280232753493686, 10341831284151399661425849143847881412185, 5041, 13774086239192742095652209924284730776397111, 7, 28271519420478703246812019606566342945603967, 28281852560222261626434335683187684494072745, 8852666400303393320848832681646, 10341831292846718810223271765093710019200, 28271510728929404018728009430288302080000000, 8691540457466064418335919964160000000, 28281843885127470579855190746085349871918726, 13763753099458036351520070313885389784300921, 13763761774543963873713685265108465648745905, 51090942171709440001, 18315900535588103617649456215686, 10333156198077449996633402542238195222521, 121, 6227020801, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 28271519420478714151166879142790230098933777, 13774086239192742095626357907545845799768913, 42035263828378587719247817112201167579574257, 362881, 1307674368001, 15511210043330985984000001, 10333156189224799107589469063086080000000, 28271510728929414907597459848658528481253240, 355687428096001, 13763753099458036383700320765954476240189224, 13763753099458025477999225269286549489731495, 39916801, 13774086239201572953239437031098869797573041, 28271510728938256669618173518534860301443176, 10333156198066576638391352733915097469225, 8691686826520676705913065001023422200, 10888869450418352160768000001], 'label': '15944266600786427904000.a.93024._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035514
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [121, 39916801, 26584437368972761532657500623465502081, 28271501527582096272968593852846038415178167, 28271519420469872389468858815135414993699718, 6227020801, 17893153017732897258994718026737465721, 28271501527572950009143637529656597053807936, 13774086239192731191757225081183847122493392, 1307674368001, 13774104132098484460530130267516541367874265, 26584437368957250321724593891555072127, 17892905753253179643211163355921400446, 8691540457481601531487289061896021639, 51090942171709440001, 355687428096001, 7, 13774086239192731191245646232918425600000000, 27168568179092393454282823176544, 28271519420478703246786218681121031917814993, 42045587766774533835849489430978543200859848, 42045579075252369670353548456907281483940487, 42045587766765681184878180766933710343351801, 28271519420478703246894230311609489578248649, 28271519420469872373769941027659788196751049, 28271510728929404018728009430288302080000000, 28271519420469872373661878184560427008000001, 13774094930733188672821274612169375744000001, 26584446210734729419452030326994033960, 25852016738884976640001, 13774104132089653571301000038837087929963446, 28271501527581802660032628575761322420912120, 28271492836041334305098759943488677876022407, 362881, 17892905753253747370883584644762647345, 13774094930742030434948928661362141670209967, 8691540457466064418335919964160000000, 42045579075225234623194264754066355266653319, 8691549299228058158037874507776000001, 42045587766765681200415136292612711992663680, 121645100408832001, 13774094930861410967416682183958976996363561, 17892896911491563726149580593129821503, 5041], 'label': '15944266600786427904000.a.93024._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035515
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [121, 10359724189758225507015302736853364741633, 39916801, 28281834667316497499921233893306246712663680, 10359724437022689713421164249951217465721, 28271519420469872389468858815135414993699718, 6227020801, 28271519420478703246786167468162809856000001, 13774086239192731191757225081183847122493392, 1307674368001, 8691540457481601531487289061896021639, 51090942171709440001, 10351049086136290293492857737013475072127, 355687428096001, 7, 13774086239192731191245646232918425600000000, 13763779667449717127486959134373419447874265, 10359724189758209995805380695280401400446, 27168568179092393454282823176544, 28271519420478703246786218681121031917814993, 28271519420478703246894230311609489578248649, 28271519420469872373769941027659788196751049, 28281834667325350135355587031672077920859848, 10351049094978067772590585173448914033960, 28271510728929404018728009430288302080000000, 42035245935490518005592662342795143156022407, 42035254610585602665106650616701377935178167, 42035254610585309052170685339616661940912120, 28281825992248863278215491693051941963940487, 25852016738884976640001, 10359724189758210563533053116569242647345, 362881, 42045605659662603564907524417478852608000001, 28281834667316497484384278367627245063351801, 13774094930742030434948928661362141670209967, 8691540457466064418335919964160000000, 13763779667440886238257828905693966009963446, 10359724180916448379888319112517609821503, 13774086239192731206756856276249411584000001, 10351049086136305804703790643745385502081, 121645100408832001, 13774094930861410967416682183958976996363561, 42035254610576456401281694293511936573807936, 5041], 'label': '15944266600786427904000.a.93024._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035516
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [121, 28271501519358964005854705758035759540912121, 42045587758551695181671566613252980320859849, 39916801, 10359732403755117691199308838146665502080, 42045579083475208324531471274632844363940486, 42045587758542842530700257949208147463351800, 28271492844264172959276682761214240756022406, 10351041128245639820665348010093553465721, 6227020801, 10351040872139398702889551661052939287345, 13774086239192731191757225081183847122493392, 42045587758542842546237213474887149112663681, 1307674368001, 10359732403755102179988375931414755072126, 28271501519359246729921220616768314767178167, 8691540457481601531487289061896021639, 51090942171709440001, 8691540468354933868754272124928000001, 355687428096001, 7, 13774086239192731191245646232918425600000000, 27168568179092393454282823176544, 10359732412596879659086103367850194033961, 10351040863297636493392800918116330184383, 10351040872139398109309862500879121400447, 42035272503482209638924224232018149376000001, 13763770984123267426371333387499564729963447, 362881, 42035263828378598623898342878521916113699718, 13774094930742030434948928661362141670209967, 13763770984132098315574611599440133191234265, 42035263828387429481215702744507533037814993, 8691540457466064418335919964160000000, 28281852560213408975570023616559111536640001, 13774086239192731206756856276249411584000001, 28271501519350111354965714711931034173807942, 28281843885118628817835598899351388160000000, 121645100408832001, 10351040872139413620519784542452084741753, 13774094930861410967416682183958976996363561, 42035263828387429481323714374995990698248649, 5041, 42035263828378598608199425091046289316751049], 'label': '15944266600786427904000.a.93024._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035517
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [10341831284151399661425849143847881412185, 28271510737152242672931784264752749940268222, 5041, 13774086239192742095652209924284730776397111, 7, 28281843876895790179169956859048409009096550, 8852666400303393320848832681646, 10341831292846718810223271765093710019200, 28281852568436258534102805976212154590863401, 8691540457466064418335919964160000000, 28271510737161095323769173459262747282459641, 13763753099458036351520070313885389784300921, 28271519412255875497014808341803552192681647, 13763761774543963873713685265108465648745905, 51090942171709440001, 18315900535588103617649456215686, 28271519412247022846126785730070384797320903, 10333156198077449996633402542238195222521, 28271510737152253577286643801015719961466160, 121, 6227020801, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 28271519412255864608145357923466829255157047, 13774086239192742095626357907545845799768913, 362881, 1307674368001, 42035272511705059197482809565061488153685822, 15511210043330985984000001, 10333156189224799107589469063086080000000, 355687428096001, 13763753099458036383700320765954476240189224, 13763753099458025477999225269286549489731495, 39916801, 13774086239201572953239437031098869797573041, 10333156198066576638391352733915097469225, 8691686826520676705913065001023422200, 10888869450418352160768000001], 'label': '15944266600786427904000.a.93024._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035518
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [47828586272933407543274590, 8691549310116927608461502028602193238, 13774094930733199561716577049529846326453454, 7, 56595858919499514838720696972732647786441888, 70349270187499929210148933072152748103486766, 1307674730880, 13774094930733188672847126628908260720640000, 109782420725319418841740641393846, 28271510728929404018728009430288302080000000, 8691540457466064418335919964160000000, 84867325187348676422272667112405291282117528, 28271510729194442392143380355641121764332489, 6266937600, 98620753805703144452699616522931790267116937, 10904406942839589920550689273, 13774094930733188657310064568838389760000000, 13774086239201572968750647193410700260846951, 70349278862576405178285449417972669455493176, 121, 42045596968122135210000522462209313746210638, 6227025840, 121645100408832006, 42045596968122135225484916803864146110673238, 70349270187472783243098208457179419469762144, 1307674368001, 355687428096001, 42045596968122439727370513523159559387299505, 28271519420478703246786167468162809856000001, 15537113272658457369405785, 98620753805739844315181435047322625658301088, 28271510728929414907597459848640462848000001, 13774086239192731206756856276249411584000001, 39916801, 98620753805703325159618072031933348651719248, 13774086239211047076244223245406280293356807, 98620745130608465553491122918128351068942038, 51212587272118272000], 'label': '15944266600786427904000.a.93024._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035519
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [8250007190039689950520128144465961, 42035263828387440385596363206176731218933777, 8231691320578226211046411712681647, 5041, 13774086239192742095652209924284730776397111, 7, 42035272511696217435489118900791023641466160, 28281843876895790179169956859048409009096550, 8852666400303393320848832681646, 8222838669689185870434372572022966, 28281852568436258534102805976212154590863401, 8691540457466064418335919964160000000, 51090942171709440001, 42035272503482220527820648618310163981443176, 13774086239201572968750969102898509809731495, 121, 28281843885118628817835598899351388160000000, 6227020801, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 42035263820164590842574841986853330375157047, 8222849543047424327375582875869670, 13774094930733188672821274734171551728745905, 362881, 1307674368001, 42035272511705059197482809565061488153685822, 15511210043330985984000001, 13774086239201583842271814147497350104300921, 42035272511705059181971648559038050962459641, 355687428096001, 8683326596112370639485873908788425910, 13774086239201583874452064599566436560189224, 8691549299228058479438153133390019200, 39916801, 13774086239201572953239437031098869797573041, 13774086247424411607443160769337417112936958, 8691686826520676705913065001023422200, 10888869450418352160768000001], 'label': '15944266600786427904000.a.93024._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035520
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1368.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': 171, 'diagramx': None, 'generators': [5041, 8691549310132464721729240812992681646, 8841778124381451186083877455998, 7, 8691549299228058209250818781572496289, 8222849543073225252834701081181769, 8222838654177922817725562880000001, 8683326460606143603323991708546359623, 8222839009128468070256352828960583, 8691549299389429173928297245524030640, 8222849558558634492371210615919054, 8231680463972092561193112587820096, 8683317629700755945936903557150832224, 51090942171709440001, 8683317618811886495518194401280000001, 8841809794118652509866753207816, 8231680416197565749361957246415145, 33970681973276357778595063878813791, 121, 8691549310117197476057434775229475615, 8231691320578226601990222760990080, 6227020801, 25852016738884976640001, 121645100408832001, 8231691320552374072662493387888974, 17918104785839692602226912616911948927, 1307674368001, 15511210043330985984000001, 18326821696562613186932496624430, 8231691320578226089045704435926809, 8841761993739701954543616000001, 355687428096001, 8222838815574311577245191026432007, 45330229991318087286026034888, 8841777505429405831404614380927, 8691549310132464721729240812992318767, 8683326471478286747820573072572215254, 39916801, 8683326471478286747698570976667794329, 8231713937353378531844352140808545], 'label': '15944266600786427904000.a.1368.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1368.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1368.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035522
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [6227388847, 27168551372926206829787662505640, 1313941673647, 10888895782100161903217841216, 355693695401647, 10333156226082815127906723164839156419696, 7, 10359724180916448002065678740736745477183, 15537062060069870960640000, 13774086239201583842108836475245451988794758, 5167, 40284847, 8691540457466064418335919964160000000, 10351049104440495325055345788428297292801, 17893134757905466638599990082282763849, 8852666400252302021708931958342, 13774112823630314328553778967971302288164065, 10341831284004972327373616100029040799129, 121, 13774086239192731191245646232918425600000000, 13763761774543974747072889209051487517321815, 8841777530802653066144072124103, 8852650889093349989862848681647, 8691540468402788358256886063092893791, 10333156198190403897164857718050350013432, 51091299173079209647, 13763770992346095207165215930654759867320735, 10888869501631296434256041647, 13774094930733199546205420266035113069731494, 363007, 13763753099458025462487693192203247793495271, 122002101778601647, 10351049094988941130884356748727846204776, 17892905764157560305600715535894916191, 13774086239192731206757978105449592869961559, 25903107681056686080000, 10333156198077449996682819052948928681647], 'label': '15944266600786427904000.a.93024._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035523
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [121, 28271501519615059343185400903505619953465721, 8691540468355041931597371486116751049, 39916801, 42045579083475208324531471274632844363940486, 28271492844264172959276682761214240756022406, 28271510737152253577582363296941013713699838, 28271492844255331197282943827944870505502080, 28271501519358953101474045417996405521400447, 6227020801, 28271510737152242672905932248013864960000001, 13774086239192731191757225081183847122493392, 42045587758542842546237213474887149112663681, 1307674368001, 13774112823630100148470274078295062023351801, 13774104132098484460530130267516541367874265, 26584437368957250321724593891555072127, 8691549299228058209250832729837814993, 26584446515236560687164207390095178167, 8691540457481601531487289061896021639, 51090942171709440001, 8691540468354933868754272124928000001, 26584437368972735730841017948733807936, 355687428096001, 7, 13774086239192731191245646232918425600000000, 28271510737161084435007734793415088298248648, 42045605651567976331966768796520408521995561, 27168568179092393454282823176544, 42045587758542853419595402245670137529963447, 26584446221623624721887122674100912120, 13774112823638952799441582742339894880859848, 25852016738884976640001, 26584446210734729419452030326994033960, 13774094930733188672821274612169375744000001, 42045579083448073277372187571791918146653439, 362881, 8691540457466064418335919964160000000, 28271501519358953102067625107156579339287345, 42045605651448595799499015273924880870209966, 8691549299228058158037874507776000001, 121645100408832001, 17892896911491563726149580593129821503, 5041], 'label': '15944266600786427904000.a.93024._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035524
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [121, 8691540468355041931597371486116751049, 39916801, 28271501527582096272968593852846038415178167, 28271510737152253577582363296941013713699838, 6227020801, 17901119750160875037139306222185502080, 28271510737152242672905932248013864960000001, 28271501527572950009143637529656597053807936, 13774086239192731191757225081183847122493392, 1307674368001, 8691549299228058209250832729837814993, 28271492836032492527971632838219241449821503, 26576479478306777494214866971633465721, 8691540457481601531487289061896021639, 51090942171709440001, 8691540468354933868754272124928000001, 355687428096001, 7, 26576223372065659718418517931019287345, 13774086239192731191245646232918425600000000, 26576223372065066138729357757201400447, 28271510737161084435007734793415088298248648, 42045605651567976331966768796520408521995561, 27168568179092393454282823176544, 42045587766774533835849489430978543200859848, 42045587766765681184878180766933710343351801, 42045579075234065496938036956155189687874265, 13774112815407272383187495557031489209963447, 13774094930733188672821274612169375744000001, 25852016738884976640001, 13774104140312492240964280883153269826653439, 28271501527581802660032628575761322420912120, 362881, 17901128591922868776072575592436022406, 8691540457466064418335919964160000000, 42045605651448595799499015273924880870209966, 8691549299228058158037874507776000001, 121645100408832001, 28271501527572949993658228413232539875072127, 28271501527581791771137326140668975314033960, 13774112815407261509829306786248500792663681, 13774104140339627288123564585994196043940486, 5041], 'label': '15944266600786427904000.a.93024._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035525
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [6227388847, 27168551372926206829787662505640, 1313941673647, 26576223382969420998143956091607204496, 10888895782100161903217841216, 8268549305524317162412692058138303, 355693695401647, 7, 15537062060069870960640000, 13774086239201583842108836475245451988794758, 5167, 40284847, 17901146885208034268739230903735388846, 8691540457466064418335919964160000000, 13774094922519191780663958416294163157075608, 17901119750160875038676231673409384903, 17893134757905466638599990082282763849, 8852666400252302021708931958342, 8222838669689132861056548864000000, 8222951623641421115795138593517399, 13774112823630314328553778967971302288164065, 121, 13774086239192731191245646232918425600000000, 8841777530802653066144072124103, 8852650889093349989862848681647, 8691540468402788358256886063092893791, 51091299173079209647, 13774104140321333987472663706055429123054928, 10888869501631296434256041647, 13774094930733199546205420266035113069731494, 8683326471462775590027419806951790934, 363007, 122002101778601647, 17892905764157560305600715535894916191, 13774086247415580749830081651068189095453224, 13774086239192731206757978105449592869961559, 25903107681056686080000], 'label': '15944266600786427904000.a.93024._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035526
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [121, 28271501519358964005854705758035759540912121, 42045587758551695181671566613252980320859849, 39916801, 42045579083475208324531471274632844363940486, 17901119750145363826206399490275072126, 42045587758542842530700257949208147463351800, 28271492844264172959276682761214240756022406, 28271519420469872389468858815135414993699718, 6227020801, 17901119750160875037139306222185502080, 13774086239192731191757225081183847122493392, 42045587758542842546237213474887149112663681, 1307674368001, 28271501519359246729921220616768314767178167, 26576479478306777494214866971633465721, 8691540457481601531487289061896021639, 51090942171709440001, 355687428096001, 7, 26576223372065659718418517931019287345, 13774086239192731191245646232918425600000000, 26576223372065066138729357757201400447, 27168568179092393454282823176544, 28271519420478703246786218681121031917814993, 28271519420478703246894230311609489578248649, 28271519420469872373769941027659788196751049, 17901128591922842923933835925714033961, 28271510728929404018728009430288302080000000, 26576214530303450221667774994410184383, 28271519420469872373661878184560427008000001, 13774112815407272383187495557031489209963447, 13774094930733188672821274612169375744000001, 25852016738884976640001, 42045579083448073277372187571791918146653439, 13774112815416103272390773768972057671234265, 362881, 13774094930742030434948928661362141670209967, 8691540457466064418335919964160000000, 8691549299228058158037874507776000001, 28271501519350111354965714711931034173807942, 121645100408832001, 13774094930861410967416682183958976996363561, 5041], 'label': '15944266600786427904000.a.93024._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035527
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [121, 8691540468355041931597371486116751049, 39916801, 28281825992221717326701399546375661795072127, 10359732403755117691199308838146665502080, 10351041128245639820665348010093553465721, 28271510737152253577582363296941013713699838, 6227020801, 28271510737152242672905932248013864960000001, 28281834667316497484787795007751165929821503, 10351040872139398702889551661052939287345, 13774086239192731191757225081183847122493392, 1307674368001, 8691549299228058209250832729837814993, 8691540457481601531487289061896021639, 51090942171709440001, 355687428096001, 7, 13774086239192731191245646232918425600000000, 28271510737161084435007734793415088298248648, 42045605651567976331966768796520408521995561, 27168568179092393454282823176544, 13774094930733199546179514987190550528000001, 10359732403755117691250022393161272663681, 28281834667325350135355587031672077920859848, 10351040872139398109309862500879121400447, 42035254610585602665106650616701377935178167, 42035254610585309052170685339616661940912120, 42035254610585298163894865823012067767874265, 25852016738884976640001, 13763770984123267426371333387499564729963447, 362881, 28281834667316497484384278367627245063351801, 28281825992230559104180497273812097234033960, 8691540457466064418335919964160000000, 42045605651448595799499015273924880870209966, 13763770984132098315006832836430931956022406, 8691549299228058158037874507776000001, 13774086239192731206756856276249411584000001, 10351040890443587629662186687730763940486, 121645100408832001, 42035254610576456401281694293511936573807936, 28281834667325339261914921991375501684741633, 5041], 'label': '15944266600786427904000.a.93024._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035528
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [28281825984026024624037568875326379083940486, 121, 10359724189758225507015302736853364741633, 28281834675539336154099105997476794985502080, 8691540468355041931597371486116751049, 39916801, 13763779667440875364873787604873288253807936, 28271510737152253577582363296941013713699838, 6227020801, 42035245927267679351414739525069580276022406, 28271510737152242672905932248013864960000001, 13774086239192731191757225081183847122493392, 1307674368001, 8691549299228058209250832729837814993, 28281825984007720434517216551139527441400447, 8691540457481601531487289061896021639, 51090942171709440001, 10351049086136290293492857737013475072127, 355687428096001, 7, 13774086239192731191245646232918425600000000, 13763779667449717127486959134373419447874265, 28271510737161084435007734793415088298248648, 42045605651567976331966768796520408521995561, 27168568179092393454282823176544, 13774094930733199546179514987190550528000001, 10351049094978067772590585173448914033960, 10359724180916447976371678988596743351801, 13763779667449728015762778650978013620912120, 42035245927258848462779240076138213049963447, 28281825984007720435110796240299701259287345, 25852016738884976640001, 28281834675539336154099156711031809592663681, 10359724189769098947680343033429600859848, 13763779667450021628698743928062729615178167, 362881, 8691540457466064418335919964160000000, 42045605651448595799499015273924880870209966, 8691549299228058158037874507776000001, 28281825984263826676228572036648741873465721, 10359724180916448379888319112517609821503, 13774086239192731206756856276249411584000001, 121645100408832001, 5041], 'label': '15944266600786427904000.a.93024._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035529
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [6227388847, 27168551372926206829787662505640, 1313941673647, 10888895782100161903217841216, 8268549305524317162412692058138303, 355693695401647, 7, 10359724180916448002065678740736745477183, 15537062060069870960640000, 13774086239201583842108836475245451988794758, 5167, 40284847, 8691540457466064418335919964160000000, 10351040863297636089771284618129435529904, 13774094922519191780663958416294163157075608, 13763779675672759072285514629248730631146030, 10351049104440495325055345788428297292801, 8852666400252302021708931958342, 8222838669689132861056548864000000, 8222951623641421115795138593517399, 121, 13774086239192731191245646232918425600000000, 8841777530802653066144072124103, 8852650889093349989862848681647, 10351041109974939057605626059789280721574, 8691540468402788358256886063092893791, 51091299173079209647, 13763770992346095207165215930654759867320735, 10888869501631296434256041647, 13774094930733199546205420266035113069731494, 8683326471462775590027419806951790934, 363007, 122002101778601647, 10351049094988941130884356748727846204776, 13774086247415580749830081651068189095453224, 13774086239192731206757978105449592869961559, 25903107681056686080000], 'label': '15944266600786427904000.a.93024._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035530
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [6227388847, 1313941673647, 355693695401647, 7, 13763753091235197697206092578883975312985592, 15537062060069870960640000, 8691549310132464722888476355815790934, 13774094930742030419330671190688740053075608, 5167, 40284847, 13763779675663714003540501405518175163320735, 8691540457466064418335919964160000000, 10333148012085922943723607393819892419696, 17892905764142023292582430704343204496, 13763779675672759072285514629248730631146030, 10333147975238811329970044658372032681647, 17893134757905466638599990082282763849, 8852666400252302021708931958342, 121, 10333147966397033799168929674098743068776, 13774086239192731191245646232918425600000000, 8852650889093349989862848681647, 8691540468402788358256886063092893791, 10333147984702029954095680919950258176007, 13763753091226345061853092732613780724842953, 51091299173079209647, 10333147975351765230452083323473454013432, 10888869501631296434256041647, 13774094930733199546205420266035113069731494, 10333147975227922435044848749649319770863, 363007, 122002101778601647, 17892905764157560305600715535894916191, 10359732412607768528589918274115110204776, 25903107681056686080000, 26584464504035431974300756290999388846, 13774086239192742080140948790011640231453224], 'label': '15944266600786427904000.a.93024._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035531
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 969, 'diagramx': None, 'generators': [10888869501509294332477803007, 5041, 6227020927, 13763761774543963858202475099775303680000000, 13763761799743019045895178637420935179160631, 15511261255918258102640040, 7, 355687428464047, 126, 13774086239192731191245646232918425600000000, 25852138739672813573166, 8231691320578226211046411712681647, 1307674368001, 51091297859137536126, 363000, 13774094947727664985966995275193016824228486, 39921961, 25852016738884977007926, 8683317618811886495518194401280000001, 8222838654177973908667734589803007, 70306747446608948913338391218702254080000000], 'label': '15944266600786427904000.a.1938._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1938.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1938._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035532
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [121, 10359724189758225507015302736853364741633, 39916801, 10359724437022689713421164249951217465721, 28271501527582096272968593852846038415178167, 6227020801, 28271501527572950009143637529656597053807936, 13774086239192731191757225081183847122493392, 1307674368001, 8691540457481601531487289061896021639, 51090942171709440001, 8691540468354933868754272124928000001, 10351049086136290293492857737013475072127, 355687428096001, 7, 13774086239192731191245646232918425600000000, 13763779667449717127486959134373419447874265, 10359724189758209995805380695280401400446, 27168568179092393454282823176544, 42045587766774533835849489430978543200859848, 42045579075252369670353548456907281483940487, 42045587766765681184878180766933710343351801, 10351049094978067772590585173448914033960, 42035272503482209638924224232018149376000001, 28271501527581802660032628575761322420912120, 10359724189758210563533053116569242647345, 28271492836041334305098759943488677876022407, 362881, 42035263828378598623898342878521916113699718, 13774094930742030434948928661362141670209967, 42035263828387429481215702744507533037814993, 8691540457466064418335919964160000000, 42045587766765681200415136292612711992663680, 13763779667440886238257828905693966009963446, 28281852560213408975570023616559111536640001, 10359724180916448379888319112517609821503, 13774086239192731206756856276249411584000001, 10351049086136305804703790643745385502081, 28281843885118628817835598899351388160000000, 121645100408832001, 13774094930861410967416682183958976996363561, 42035263828387429481323714374995990698248649, 5041, 42035263828378598608199425091046289316751049], 'label': '15944266600786427904000.a.93024._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035533
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [6227388847, 1313941673647, 26576223382969420998143956091607204496, 355693695401647, 7, 13763753091235197697206092578883975312985592, 15537062060069870960640000, 8691549310132464722888476355815790934, 13774094930742030419330671190688740053075608, 5167, 40284847, 17901146885208034268739230903735388846, 10333148012085922943723607393819892419696, 8691540457466064418335919964160000000, 10333147975238811329970044658372032681647, 8852666400252302021708931958342, 26576452376732864344161515469546763849, 121, 10333147966397033799168929674098743068776, 13774086239192731191245646232918425600000000, 8852650889093349989862848681647, 13763770992355140244887809067723343367146030, 8691540468402788358256886063092893791, 26576223382953935591075578951190916191, 10333147984702029954095680919950258176007, 13763753091226345061853092732613780724842953, 51091299173079209647, 13763770992346095207165215930654759867320735, 10333147975351765230452083323473454013432, 10888869501631296434256041647, 13774094930733199546205420266035113069731494, 10333147975227922435044848749649319770863, 363007, 122002101778601647, 10351049094988941130884356748727846204776, 25903107681056686080000, 13774086239192742080140948790011640231453224], 'label': '15944266600786427904000.a.93024._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035534
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [47828586272933407543274590, 28271510728929414907597567152425165310840247, 42045605659662592676039089548924812985946806, 13774094930733188672821274612169375744000001, 84867343080245327773634283651049325231304953, 56585499195135540717792426112266299049170225, 28281843885118684923203184999792985073155511, 5046, 7, 98631104854789280727456098544896187057725214, 121646408083200000, 13774094930733188657310064568838389799916806, 13774094930733188657335916585577274737002880, 28271510728929404018728009430288302080000000, 98620771698600066832729276457136210645060175, 98631104854789291631998886959181024306528641, 56595832351324765517062192062422943778688929, 13774094930733199546179514987190550528000001, 18315884998577012487854693356807, 70359594125859876708728037767554007040000000, 13774094930733188657310064568838389760000000, 70359594125859887613134601458563317113938145, 6227025840, 126, 121645100408832001, 42045605659662592691549335137921981621458057, 362886, 10333156189224799107589469063086080000000, 8841761993739701954543656279681, 355687428096006, 42035272503482209638950127339700520005373393, 28281843885127481484211069922890874390157487, 42045605659671434454028592180812942110009007, 98631104854789280727456847748773034896754225, 56585499195135540717818225501092980898209856, 458057057362942396677816, 51090942177936460800, 84867343080254169535653875497415107064309454], 'label': '15944266600786427904000.a.93024._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035535
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [47828586272933407543274590, 13774086239201572969236164414604675870009007, 8691540468354933976058056827390840247, 98620763023514128437040188427658486264309454, 13774094930733188672821274612169375744000001, 5046, 56585499195135540717792426112266299049170225, 8691540457466522475393282906556677816, 28281843885118684923203184999792985073155511, 7, 70359594125859876708728838318484732816754225, 13774094930733188657311080118636510905946806, 121646408083200000, 70359594125859876708728089114607884977725214, 13774094930733188657310064568838389799916806, 84867343080254169535790201492711245858688929, 13774094930733188657335916585577274737002880, 8691540457466064418335919964160000000, 28281852560222261641919642623359712790157487, 56585507886667156421888955225644891513938145, 13774094930733199546179514987190550528000001, 18315884998577012487854693356807, 70359594125859876708728037767554007040000000, 84867351755340107931342963526892831445060175, 13774094930733188657310064568838389760000000, 42035263828387429481241554639231681605373393, 28281843885118628817835598899351388160000000, 6227025840, 126, 121645100408832001, 70359594125859887613270877528892722226528641, 362886, 8841761993739701954543656279681, 355687428096006, 13774086239192731206756907371713715381458057, 98620763023505286675020596581292704431304953, 56585499195135540717818225501092980898209856, 51090942177936460800], 'label': '15944266600786427904000.a.93024._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035536
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [47828586272933407543274590, 13774094930733199561716577049529846326453454, 98620753813926084365377618436322752348947078, 13774094930733188672821274612169375744000001, 7, 28281852560213408975544171599820226560000000, 98620745122385706347731576513738947371719249, 8691540457466064418335919964160000000, 28281843885118628817835598899352695834368001, 6266937600, 28281852560213713492941029459773058267299505, 98620745122412671592378916943065833543486767, 42035263828378598608091362247946928128000001, 56585517096438348536082457620926286186441889, 10904406942839589920550689273, 42035263828378587719221911829596075034730880, 13774094930733188657310064568838389760000000, 70359612010533949545736447808985787296782944, 13774086239201572968750647193410700260846951, 28281843885228411238560918318193128801393846, 121, 42035272503738406250345855455416425444332489, 6227025840, 121645100408832006, 28281852560213408975544222812407498678272000, 13774086239192731206756907373575844030673238, 56585517096246438212267157552243401147116943, 8841761993739701954543616000001, 84867333870666295234159162630599692562117529, 28281852560222261626407361725402291002193238, 355687428096001, 42035263828396903604220488842082622053356807, 98620745122422225503294939529128224378301089, 39916801, 70359603335448011165506543368841354255493182, 28281852560213408991081233659890097520640000, 13774086239192731191272513031921011666210638, 28281843885118628833372712172009845529405785], 'label': '15944266600786427904000.a.93024._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035537
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [8250007190039689950520128144465961, 8231691320578226211046411712681647, 5041, 13774086239192742095652209924284730776397111, 7, 42045605651439754037372431958823712689096550, 8852666400303393320848832681646, 8222838669689185870434372572022966, 28271510728929404018728009430288302080000000, 8691540457466064418335919964160000000, 28271510737161095323769173459262747282459641, 51090942171709440001, 28271510737152253577286643801015719961466160, 13774086239201572968750969102898509809731495, 121, 6227020801, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 8222849543047424327375582875869670, 28271519420478714151166879142790230098933777, 28271519412255864608145357923466829255157047, 13774094930733188672821274734171551728745905, 362881, 1307674368001, 15511210043330985984000001, 28271510737161095339280334465286184473685822, 13774086239201583842271814147497350104300921, 355687428096001, 8683326596112370639485873908788425910, 13774086239201583874452064599566436560189224, 8691549299228058479438153133390019200, 39916801, 42045596976344984768532290039598655710863401, 28271510728938256669618173518534860301443176, 13774086239201572953239437031098869797573041, 13774086247424411607443160769337417112936958, 8691686826520676705913065001023422200, 10888869450418352160768000001], 'label': '15944266600786427904000.a.93024._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035538
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [47828586272933407543274590, 13774094930742041308173254694420454202193238, 56585517088050745509655030672846282823486766, 7, 13774094930742030419303804270792933376000001, 13774094930842971078035383987680130401393846, 70359612018756788199914370626711343949762144, 1307674730880, 28271510728929404018728009430288302080000000, 13774094930733188672847126628908260720640000, 56585507886667145517482391534635581440000000, 56585507886667145517509258333638167506210638, 6266937600, 56585507886667450034879249394588413147299505, 18315884998577012487854693356807, 84856992031195880456978959947547321978301088, 13774094930733188657310064568838389760000000, 84856992031159361301415596932158044971719248, 10888869501630939432886272001, 121, 56585507886667145532993652675292999870673238, 6227025840, 13774104132089743956416986864386045788942038, 84857018615596549551747514237582340889405785, 121645100408832006, 42045605659927631049453444924479511524332489, 28271501527581791771137326144040360975493176, 1307674368001, 13774094930742030434815065529330664420846951, 15511210043330985984000001, 98631096163248834165798141342613801526453454, 355687428096001, 56585517088023599558089234734517838267116937, 39916801, 84857018615596560440617343804513804070689273, 51212587272118272000, 26584437640001403616091907903762117528, 42045579075417134058140114526042179946441888], 'label': '15944266600786427904000.a.93024._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035539
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [121, 39916801, 42045579083475208324531471274632844363940486, 511578848265421522493392, 13774112823638941925975065684948752594033960, 13774112823630100148495967957512317155072127, 28271510737152253577582363296941013713699838, 6227020801, 42045587758542842546237213474887149112663681, 1307674368001, 13774104132098484460530130267516541367874265, 42045587766774533851278274808679748020912120, 8683445841121993113133313680841995561, 13774104140312481352120683372224647785502080, 8691540457481601531487289061896021639, 42045587766765681200389283762575022653807936, 51090942171709440001, 355687428096001, 7, 28271510737161084435007734793415088298248648, 13774104132089642682809372382499018729821503, 27168568179092393454282823176544, 28271519420478703246786218681121031917814993, 42045587766774533835849489430978543200859848, 42045587766765681184878180766933710343351801, 28271519420469872373769941027659788196751049, 28271510728929404018728009430288302080000000, 8691540457481575628379250950144000001, 13774112815407272383187495557031489209963447, 28271519420469872373661878184560427008000001, 25852016738884976640001, 42045587766774827464214240085764464015178167, 42045579083448073277372187571791918146653439, 13774112815416103256905364651436356619287345, 362881, 42045579083456904150522328994132666356022406, 8683326460589525359610718153190209966, 13774112815416103256311784962276182801400447, 8691540457466064418335919964160000000, 8691549299228058158037874507776000001, 13774112815672209498023140447785397233465721, 8222838654177922817725562880000001, 121645100408832001, 5041], 'label': '15944266600786427904000.a.93024._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035540
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [6227388847, 27168551372926206829787662505640, 1313941673647, 10888895782100161903217841216, 8268549305524317162412692058138303, 355693695401647, 7, 13763753091235197697206092578883975312985592, 10359724180916448002065678740736745477183, 15537062060069870960640000, 5167, 40284847, 8691540457466064418335919964160000000, 10351040863297636089771284618129435529904, 10351049104440495325055345788428297292801, 13763753091235197712716282974901751232681647, 8852666400252302021708931958342, 8222838669689132861056548864000000, 8222951623641421115795138593517399, 13774112823630314328553778967971302288164065, 121, 8841777530802653066144072124103, 13763761774543974747072889209051487517321815, 8852650889093349989862848681647, 10351041109974939057605626059789280721574, 8691540468402788358256886063092893791, 13763753091226345061853092732613780724842953, 51091299173079209647, 13774104140321333987472663706055429123054928, 10888869501631296434256041647, 8683326471462775590027419806951790934, 363007, 13763753099458025462487693192203247793495271, 122002101778601647, 10351049094988941130884356748727846204776, 25903107681056686080000, 13763761782775644289885349712661790441988169], 'label': '15944266600786427904000.a.93024._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035541
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [6227388847, 27168551372926206829787662505640, 1313941673647, 26576223382969420998143956091607204496, 10888895782100161903217841216, 8268549305524317162412692058138303, 355693695401647, 7, 13763753091235197697206092578883975312985592, 15537062060069870960640000, 5167, 40284847, 17901146885208034268739230903735388846, 8691540457466064418335919964160000000, 13763779675672759072285514629248730631146030, 17901119750160875038676231673409384903, 17893134757905466638599990082282763849, 13763753091235197712716282974901751232681647, 8852666400252302021708931958342, 8222838669689132861056548864000000, 8222951623641421115795138593517399, 121, 8841777530802653066144072124103, 13763761774543974747072889209051487517321815, 8852650889093349989862848681647, 8691540468402788358256886063092893791, 13763753091226345061853092732613780724842953, 51091299173079209647, 13763770992346095207165215930654759867320735, 10888869501631296434256041647, 8683326471462775590027419806951790934, 363007, 13763753099458025462487693192203247793495271, 122002101778601647, 17892905764157560305600715535894916191, 25903107681056686080000, 13763761782775644289885349712661790441988169], 'label': '15944266600786427904000.a.93024._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035542
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 969, 'diagramx': None, 'generators': [8222838654177973908667734589803007, 8231691320578226211046411712681647, 5041, 13774086239201583857620097609499082177663135, 7, 363000, 355687428464047, 28281834913242778792457141088807047520312256, 13763761774543963858202475099775303680000000, 51091297859137536126, 56564242441818675222966398919055986629765632, 28303091437070187652214332842890563006266953, 28292749605923111052395873856685891871420856, 13763761799743019045895178637420935179160631, 70306747446608948913338391218702254080000000, 28281834667316508373279473877030718912676616, 56574584273102680179782239811812195483849672, 56574584265026221421149615477853734795267078, 42056511372116160550420688688743235494542079, 70317071919489407551448578519566388499326201, 25852138739672813573166, 126, 13774086239192731191245646232918425600000000, 1307674368001, 13785018544361398291670151508866349908084337, 13774086239192742095626357785545051951076617, 56574584273203011062122940696690641948838993, 6227020927, 10888869501509294332477803007, 42035254635775488972309295282670404270929847, 25852016738884977007926, 13774086264410046174080499756998615544228487, 70328004216371491716520583787571113320549455, 28303091437079040287592114748806398300926206, 15511261255918258102640040, 13774086434153605785328383546435359004892216, 39921961], 'label': '15944266600786427904000.a.1938._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1938.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1938._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035543
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [47828586272933407543274590, 13774094930742041308173254694420454202193238, 13774094930733188672821274612169375744000001, 7, 28271510728929404034239270570945720510673238, 70359594125868718470721777469508550656000001, 70359612018756788199914370626711343949762144, 15537062060069870960640000, 84857009924056092070145982629005227034730880, 70359594125859876708754904566556593106210638, 98631104854789280727456047197842309120000000, 17892933611369153080060193056378301088, 6266937600, 10904406512480691456566453454, 18315884998577012487854693356807, 56585499195391726424833344124068436964332489, 70359594125859876708728037767554007040000000, 13774094930733188657310064568838389760000000, 121, 121645100408832006, 70359612018948698539214599372039113066441888, 13774094930733188657310064568838395987025840, 42045587766765681200389232793279259067116937, 13774094930742030434815065529330664420846951, 362881, 17892897092213589717044803779371719248, 355687428096001, 84857009924056092070146033841591191478272000, 84856992031159281852997220518821885788942038, 98631104854789291631862990037432229670689273, 15537113272658457369405785, 42045587766792827151955028731607703623486766, 28271510728929414907597459848640462848000001, 39916801, 42045605659662897193434931859079523547299505, 84857009924165874490871302047845660001393846, 70359612018765629977393038887035755535493176, 84856992031159451623165077643342205202117528], 'label': '15944266600786427904000.a.93024._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035677
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '262144.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': 262144, 'diagramx': None, 'generators': [123842796798735133091792023817, 141612581138415967988747749502863743642179886, 428452879730306037528, 201429630974835464149499814927222, 296776311992082062245242306520313279690442665, 182989112108925404809112204101991, 113330191459875790823834662114234468658668817, 82218610919419844506039801457142, 67236031296, 141357536014798625812344452732141750890757182, 1070733734616443760577, 389127726, 16696, 353393401037573017248294149337303775192688776, 170072002284568810299878717766605612647086, 46553033656, 28385, 576, 169011440551962655447148813224, 182955623406979141552887955209721, 46765998598, 254549755346672070063437242915631922496773126, 264970588107472297065029368541104], 'label': '15944266600786427904000.a.262144.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '262144.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '262144.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035544
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [47828586272933407543274590, 13774094930733188657310115781425661878272000, 42035272503473367876930484530063605760000000, 13774094930742041308173254694420454202193238, 84867325179125667997926887170159408988947078, 7, 84857018615596549536210400964923883520000000, 28281843885118933335232456759304219867299505, 84867325179125837768094744294679728402117529, 1307674730880, 70359603335439169388027875108516948896782944, 6266937600, 70349252294575871767423085641353068544000001, 10904406512480691456566453454, 98631096163358605682116948280764085601393846, 18315884998577012487854693356807, 56595841026410693023771197428317412720640000, 13774094930733188657310064568838389760000000, 70349252294840910125327246523374902244332489, 121, 84857018615596560425079851383276044288000001, 42035272503473367892441745670721024190673238, 121645100408832006, 70359603335631079727328103853844711786441889, 84857018615596549536210400964923889747025840, 10359732440454980147165047450543738301089, 362881, 13774094930742030434815065529330664420846951, 355687428096001, 56595841026410693008261002167250127826210638, 28271492844255331197257091042166432187116943, 15537113272658457369405785, 84857018615605391298204140666878427136000001, 39916801, 70359603335448011165506543368841354255493182, 84857018615596560440617343804513804070689273, 42045587758569988497777105913882140743486767, 10359732403935824583802032061266731719249], 'label': '15944266600786427904000.a.93024._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035545
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [6227388847, 27168551372926206829787662505640, 1313941673647, 10888895782100161903217841216, 10333156226082815127906723164839156419696, 355693695401647, 7, 13763753091235197697206092578883975312985592, 10359724180916448002065678740736745477183, 15537062060069870960640000, 5167, 40284847, 8691540457466064418335919964160000000, 13774094922519191780663958416294163157075608, 13763779675672759072285514629248730631146030, 10351049104440495325055345788428297292801, 17893134757905466638599990082282763849, 13763753091235197712716282974901751232681647, 8852666400252302021708931958342, 10341831284004972327373616100029040799129, 121, 8841777530802653066144072124103, 8852650889093349989862848681647, 8691540468402788358256886063092893791, 10333156198190403897164857718050350013432, 13763753091226345061853092732613780724842953, 51091299173079209647, 13774104140321333987472663706055429123054928, 10888869501631296434256041647, 363007, 122002101778601647, 10351049094988941130884356748727846204776, 17892905764157560305600715535894916191, 13774086247415580749830081651068189095453224, 25903107681056686080000, 13763761782775644289885349712661790441988169, 10333156198077449996682819052948928681647], 'label': '15944266600786427904000.a.93024._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035546
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [6227388847, 27168551372926206829787662505640, 1313941673647, 26576223382969420998143956091607204496, 10888895782100161903217841216, 10333156226082815127906723164839156419696, 355693695401647, 7, 13763753091235197697206092578883975312985592, 15537062060069870960640000, 5167, 40284847, 17901146885208034268739230903735388846, 10351040863297636089771284618129435529904, 8691540457466064418335919964160000000, 13774094922519191780663958416294163157075608, 17901119750160875038676231673409384903, 13763753091235197712716282974901751232681647, 8852666400252302021708931958342, 13774112823630314328553778967971302288164065, 10341831284004972327373616100029040799129, 121, 8841777530802653066144072124103, 8852650889093349989862848681647, 10351041109974939057605626059789280721574, 8691540468402788358256886063092893791, 10333156198190403897164857718050350013432, 13763753091226345061853092732613780724842953, 51091299173079209647, 13763770992346095207165215930654759867320735, 10888869501631296434256041647, 363007, 122002101778601647, 13774086247415580749830081651068189095453224, 25903107681056686080000, 13763761782775644289885349712661790441988169, 10333156198077449996682819052948928681647], 'label': '15944266600786427904000.a.93024._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035547
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13774086247415569845423569050643988480000001, 121, 39916801, 42045579083475208324531471274632844363940486, 511578848265421522493392, 28271501527581802644603843198060117600859848, 28271501527582096272968593852846038415178167, 28271501527572949993632534534015284743351801, 6227020801, 13774094922638572313238759366232106441995561, 28271501527572950009143637529656597053807936, 42045587758542842546237213474887149112663681, 1307674368001, 26584437368957250321724593891555072127, 13774104140312481352120683372224647785502080, 8691540457481601531487289061896021639, 51090942171709440001, 355687428096001, 7, 27168568179092393454282823176544, 28271519420478703246786218681121031917814993, 13774094922519191780771005843636578790209966, 28271519420469872373769941027659788196751049, 28271510728929404018728009430288302080000000, 8691540457481575628379250950144000001, 42045596976344984768828009529859439313699838, 13774112815407272383187495557031489209963447, 28271519420469872373661878184560427008000001, 26584446210734729419452030326994033960, 25852016738884976640001, 28271501527581802660032628575761322420912120, 42045579083448073277372187571791918146653439, 13774112815416103256905364651436356619287345, 42045596976353815626253381026333513898248648, 362881, 42045579083456904150522328994132666356022406, 13774112815416103256311784962276182801400447, 8691540457466064418335919964160000000, 8691549299228058158037874507776000001, 13774112815672209498023140447785397233465721, 17892905753269284484034598115767874265, 121645100408832001, 17892896911491563726149580593129821503, 5041], 'label': '15944266600786427904000.a.93024._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035548
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13774086247415569845423569050643988480000001, 121, 39916801, 511578848265421522493392, 28271501519350111354991567241968723512663681, 28271492844264172959276682761214240756022406, 13774112823638941925975065684948752594033960, 13774112823630100148495967957512317155072127, 6227020801, 13774094922638572313238759366232106441995561, 17901119750160875037139306222185502080, 26576214541191941849324113063609963447, 1307674368001, 13774104132098484460530130267516541367874265, 42045587766774533851278274808679748020912120, 26576479478306777494214866971633465721, 8691540457481601531487289061896021639, 51090942171709440001, 42045587766765681200389283762575022653807936, 355687428096001, 7, 26576223372065659718418517931019287345, 26576223372065066138729357757201400447, 13774104132089642682809372382499018729821503, 27168568179092393454282823176544, 28271492844282477133285825041714418763940486, 28271519420478703246786218681121031917814993, 42045587766774533835849489430978543200859848, 13774094922519191780771005843636578790209966, 42045587766765681184878180766933710343351801, 28271519420469872373769941027659788196751049, 28271510728929404018728009430288302080000000, 8691540457481575628379250950144000001, 42045596976344984768828009529859439313699838, 28271519420469872373661878184560427008000001, 25852016738884976640001, 42045587766774827464214240085764464015178167, 42045596976353815626253381026333513898248648, 362881, 8691540457466064418335919964160000000, 28271492844255342086126541338873492546653439, 8691549299228058158037874507776000001, 121645100408832001, 5041], 'label': '15944266600786427904000.a.93024._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035549
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [47828586272933407543274590, 13774094930742041308173254694420454202193238, 13774094930733188657310064568839697434368001, 13774094930733188672821274612169375744000001, 28271492844255511904175546551167990571719249, 7, 28281852560213408975544171599820226560000000, 70349278870790402054984703975373826976782944, 28281852560213419879950684080511683126453454, 15537062060069870960640000, 15511261140657418430673238, 13774094930733188672847177841496847129405785, 1307674730880, 84856992039382019248675064240882049467116943, 56595850235990256731686837606041080082117529, 6266937600, 28281852560213713492941029459773058267299505, 84867351755340097026989011597538429906210638, 84856992039382120507175143336547448668947078, 13774094930733199546179514987190550528000001, 42035263828387429496726912790087042020846951, 18315884998577012487854693356807, 70359594125859876708728037767554007040000000, 28271492844292031059738909566557267578301089, 13774094930733188657310064568838389760000000, 121, 6227025840, 56585499195236470472143292617557357921393846, 70359594125859887613134980607143927590689273, 121645100408832006, 70359594126124915082143408692906826724332489, 8841761993739701954543616000001, 355687428096001, 56595850235998827465012640969534888975493182, 39916801, 84856992039573929572490364309564934506441889, 51212587272118272000, 28271492844282477148822886980494876743486767], 'label': '15944266600786427904000.a.93024._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035550
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [121, 39916801, 511578848265421522493392, 28271501519350111354991567241968723512663681, 28271501527581802644603843198060117600859848, 28271501527582096272968593852846038415178167, 28271492844264172959276682761214240756022406, 28271501527572949993632534534015284743351801, 28271510737152253577582363296941013713699838, 6227020801, 17901119750160875037139306222185502080, 26576214541191941849324113063609963447, 28271501527572950009143637529656597053807936, 1307674368001, 26584437368957250321724593891555072127, 26576479478306777494214866971633465721, 8683445841121993113133313680841995561, 8691540457481601531487289061896021639, 51090942171709440001, 355687428096001, 7, 26576223372065659718418517931019287345, 26576223372065066138729357757201400447, 28271510737161084435007734793415088298248648, 27168568179092393454282823176544, 28271492844282477133285825041714418763940486, 28271519420478703246786218681121031917814993, 28271519420469872373769941027659788196751049, 28271510728929404018728009430288302080000000, 8691540457481575628379250950144000001, 28271519420469872373661878184560427008000001, 26584446210734729419452030326994033960, 25852016738884976640001, 28271501527581802660032628575761322420912120, 362881, 8683326460589525359610718153190209966, 8691540457466064418335919964160000000, 28271492844255342086126541338873492546653439, 8691549299228058158037874507776000001, 8222838654177922817725562880000001, 17892905753269284484034598115767874265, 121645100408832001, 17892896911491563726149580593129821503, 5041], 'label': '15944266600786427904000.a.93024._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '93024.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '93024._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035551
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 50388, 'diagramx': None, 'generators': [10333156216393350506418662283203506544041, 53703916924707011230889752266451931944, 21319148765372432742834965969106724570942, 5041, 21328358335835045449120680520490152430152, 116616972623984326144415878405027832269735, 8683326460573880235220148944896000000, 7, 121645100409194880, 25852016738885016561967, 355693655116800, 13795414589305738471764117159358328982758977, 8841777504949745285529600000000, 13774139934877964593241616201734304603324720, 25903229683158464681647, 8683326460589391496476424204368036905, 50955695051017638391824301828207920, 13785090124656960249661488271184923465791337, 10333147975227906923406353292066816000000, 25903229681850789950767, 8231680416171662519680106496000000, 121, 98578231624550001974113205498934604241354591, 6227020801, 10904380660461683146752000000, 10386851874458185566497377807786490671318, 13763753099449183700493902399306465280000000, 362881, 13763753091226355950696691134563276142748455, 31661506311073825730818382652895782273222, 35785839251345693100123604576734392111, 10888895302435446733212652926, 10333147966386160466729479710371628142072, 39916801, 13763753091226355935185752937178924964591688, 10904406512600068446078789535], 'label': '15944266600786427904000.a.100776._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100776.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100776._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035552
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 50388, 'diagramx': None, 'generators': [5041, 8683326460573880235220148944896000000, 7, 121645100409194880, 10333147975227906923406475294168596681593, 25852016738885016561967, 13774148618195583405102259702834133518505646, 355693655116800, 10333156189224799107590359754687966145232, 8841777504949745285529600000000, 25903229683158464681647, 42056502747986538646707843147058172339292721, 13763753099449194604900414878095362985359312, 8683326460573880286311091116645759694, 13774086247415580734372823777875024918757425, 10333147975227906923406353292066816000000, 8231680416172036669864843568491751, 13763753091235186808310256693899604403865190, 25903229681850789950767, 8231680416171662519680106496000000, 10333156198077449971582186061222720688719, 121, 6227020801, 10904380660461683146752000000, 10341839506843626505295152590569291586905, 13763753099449183700493902399306465280000000, 13774086239192731191271498250024224061228022, 8683326460574366071149235138115951591, 362881, 13763761774543974762583188311739662991319672, 8683326471478286798911159562644664377, 10333147975227906923406475294242929355457, 10341831284004956870221252509303115838766, 39916801, 28271501527581802644549518550624782814391807], 'label': '15944266600786427904000.a.100776._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100776.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100776._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035553
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 969, 'diagramx': None, 'generators': [70338337356252566467465595059434643422287878, 8222838654177973908667734589803007, 8231691320578226211046411712681647, 5041, 13774086239201583857620097609499082177663135, 7, 363000, 355687428464047, 13763761774543963858202475099775303680000000, 51091297859137536126, 28303091437070187652214332842890563006266953, 28292749605923111052395873856685891871420856, 13763761799743019045895178637420935179160631, 70306747446608948913338391218702254080000000, 56564251125145146670204604205990204693528655, 13795351692327784436599818038558772699252337, 70327995533045020269282378500636895256786432, 42056511372116160550420688688743235494542079, 70317071919489407551448578519566388499326201, 25852138739672813573166, 126, 13774086239192731191245646232918425600000000, 70338337364429356108438920278271544388755793, 28281825983998889561392978358836317632676622, 70338337364329025226098219393393097923766472, 1307674368001, 28281826229925170869440095988964807008312256, 13774086239192742095626357785545051951076617, 6227020927, 10888869501509294332477803007, 42035245952457870160422799764476002990929846, 13774086264410046174080499756998615544228487, 25852016738884977007926, 28303091437079040287592114748806398300926206, 15511261255918258102640040, 13774086434153605785328383546435359004892216, 39921961], 'label': '15944266600786427904000.a.1938._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1938.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1938._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035554
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 50388, 'diagramx': None, 'generators': [5041, 8683326460573880235220148944896000000, 7, 121645100409194880, 10333147975227906923406475294168596681593, 25852016738885016561967, 13774148618195583405102259702834133518505646, 355693655116800, 10333156189224799107590359754687966145232, 8841777504949745285529600000000, 25903229683158464681647, 42056502747986538646707843147058172339292721, 13763753099449194604900414878095362985359312, 8683326460573880286311091116645759694, 13774086247415580734372823777875024918757425, 10333147975227906923406353292066816000000, 8231680416172036669864843568491751, 25903229681850789950767, 13763753091235186808310256693899604403865190, 8231680416171662519680106496000000, 10333156198077449971582186061222720688719, 121, 6227020801, 10904380660461683146752000000, 10341839506843626505295152590569291586905, 13763753099449183700493902399306465280000000, 13774086239192731191271498250024224061228022, 8683326460574366071149235138115951591, 362881, 13763761774543974762583188311739662991319672, 8683326471478286798911159562644664377, 28271501527581791755680119223570481223844481, 10333147975227906923406475294242929355457, 10341831284004956870221252509303115838766, 39916801], 'label': '15944266600786427904000.a.100776._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '100776.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100776._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035555
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '108528.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': 27132, 'diagramx': None, 'generators': [10333147975227906949309587154291160225143, 13763753099449183700681769294822901433635176, 8683317629716267263284416885901541545, 10333147966397049310327235021457918746167, 40279687, 13763761782766813416786911166832809002184976, 13774094930733188657310064690840485271659191, 126, 13774086247424411622954422025257063411888662, 126849733152635152690835066114752432116460926, 10333156198077449970830801958376524775096, 13763761782775644322228468726589152663296006, 8852650863190120306704384000000, 13763753091235186823846781343965148375403536, 5046, 362881, 10333147966397033799117069689683968000000, 121645100408832001, 13763761774543963858202526191073209410941503, 8222849543047373236077723648000000, 8691540457466064418335919964160000000, 10333156198077449970830801958376526008440, 15511210043330985984000001, 7, 25852138739672813568001, 13848833858233983523201232238117706110391687, 51091297859137536000, 13763753099449183716031015550318514177117377, 1307674368001, 13774094930742041308173254689145094144000000, 6227020801, 13763753099449183716031015550318514177140694, 355687428096001], 'label': '15944266600786427904000.a.108528.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '108528.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '108528.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035556
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [39921966, 63788194474501664452458093221433207381703, 121646414310225847, 15537062060069877188028840, 5046, 7, 51090943485650745721, 13795343000732457940082898026367349826284927, 74139243551785303831005583119482880000000, 13763761774543986474813518187857405246647801, 10341839515707972874968374875533696264664, 1307714289967, 6227388840, 8691540457466064418335919964160000000, 13763770984123267570989921291829998184762296, 10341839515685372987824689212030976000000, 10351066062319333759078636303928271605465, 13806302425289745373476544324609594847479270, 17909873094519140279123548569600000000, 42549317087387101691686263276799145431681, 8231680416171662519680106496000000, 13837901018095782683618763921110249673559265, 10904406563691366305216681647, 121, 13795360893620494180546726143637585920000000, 10333173174260590306278608627138133052776, 10351040863308540496230622586477319941056, 52891140139530935418321990970245120000000, 31598609791050371806868882767469314954008, 368041, 13837901001128407896047046029035312010698009, 13837856532008124548991877509227472008611510, 26601413563067708160539690694190704127, 25852016740192691292721, 355693695396487, 42522214602171366727136902883287959275928, 63778984895198096283599805142966670397670, 13837883125207679448378430150915819070186887], 'label': '15944266600786427904000.a.116280._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035557
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [39921966, 8841761993739701954543616000001, 17909873094519140279123548569600000000, 13763761774552828236807257889811948862647800, 15537062060069877188028840, 355693695396487, 121, 52891140139530935418321990970245120000000, 7, 74139243551785303831005583119482880000000, 5046, 6227388840, 25852016740192691292721, 121646414310225847, 1307714289967, 10904406563691366305216681647, 10341839515707972874968374875533696264664, 8691540457466064418335919964160000000, 368041, 13795360893620494180546726143637585920000000, 10341839515685372987824689212030976000000, 51090943485650745721, 8231680416171662519680106496000000], 'label': '15944266600786427904000.a.116280._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116280.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116280._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035558
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [39921966, 121646414310225847, 15537062060069877188028840, 5046, 7, 51090943485650745721, 13795343000732457940082898026367349826284927, 74139243551785303831005583119482880000000, 13827523384041738404062210857889942581590710, 10341839515707972874968374875533696264664, 1307714289967, 6227388840, 8691540457466064418335919964160000000, 13837892309579119556884188242286399311464903, 13763770984132109332983660993784541801125176, 10341839515685372987824689212030976000000, 10351066062319333759078636303928271605465, 17909873094519140279123548569600000000, 31616485720632324722024870287729982647800, 42549317087387101691686263276799145431681, 13785009852757207448863520721899363079941056, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 31598618013889025984791700493032194954009, 74112141084456416976421299834237129559265, 13806311108607364185363039842803996127479264, 8841761993739701954543616000001, 52891140139530935418321990970245120000000, 368041, 13837901001128407896047046029035312010698009, 26601413563067708160539690694190704127, 13785027762639143826815748631864114773052656, 25852016740192691292721, 74112132861584241213266456480489870397664, 355693695396487, 42522214602171366727136902883287959275928, 13837883125207679448378430150915819070186887], 'label': '15944266600786427904000.a.116280._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116280.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116280._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035749
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [8841761993739701954543616000001, 10333147966386144929666651337523200000001, 122000787836928000, 8691549299243595271310888652224681647, 6266937600, 7, 42045579083456904167274486809872822543452841, 5160, 1313901388800, 13774086239192731191245646232918425600000000, 126, 42035272511696206546619617391477149726469160, 15537062060069870960640000, 28281843893899108254334249475616566256732727, 367920, 51212587272118272000, 10333156189235720294416239018456284482151, 25903107681056686080000, 356995102464000, 10904380660461683146752000000, 40279680, 8222838654177922817725562880000001], 'label': '15944266600786427904000.a.406980._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '406980.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '406980._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035559
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [39921966, 121646414310225847, 74121342440887809382124744558956367464903, 15537062060069877188028840, 10333164951421936128355790901575253052656, 5046, 7, 51090943485650745721, 74147909893221103248534485481457214186887, 74112115885401213233040888079192970698009, 74139243551785303831005583119482880000000, 10341839515707972874968374875533696264664, 1307714289967, 6227388840, 8691540457466064418335919964160000000, 52873247251494694954493873700009026284927, 10341839515685372987824689212030976000000, 10351066062319333759078636303928271605465, 17909873094519140279123548569600000000, 31616485720632324722024870287729982647800, 42549317087387101691686263276799145431681, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 31598618013889025984791700493032194954009, 74112141084456416976421299834237129559265, 8841761993739701954543616000001, 10351040863308540496230622586477319941056, 52891140139530935418321990970245120000000, 44494310474380771263479479883231479264, 368041, 26601413563067708160539690694190704127, 25852016740192691292721, 74112132861584241213266456480489870397664, 31589909506090438578325232610669161125176, 355693695396487, 63796886006106688773005918052011061590710, 42522214602171366727136902883287959275928], 'label': '15944266600786427904000.a.116280._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116280.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116280._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035560
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [39921966, 74121342440887809382124744558956367464903, 121646414310225847, 10333164951421936128355790901575253052656, 15537062060069877188028840, 5046, 7, 51090943485650745721, 13795343000732457940082898026367349826284927, 74139243551785303831005583119482880000000, 13816617680350378249715355674598693634954009, 10341839515707972874968374875533696264664, 1307714289967, 6227388840, 8691540457466064418335919964160000000, 13795360893629335942540465845592129536000001, 10341839515685372987824689212030976000000, 10351066062319333759078636303928271605465, 17909873094519140279123548569600000000, 42549317087387101691686263276799145431681, 13785009852757207448863520721899363079941056, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 74112141084456416976421299834237129559265, 52891140139530935418321990970245120000000, 44494310474380771263479479883231479264, 13837874416691038938822574137968075150397664, 368041, 13837901001128407896047046029035312010698009, 26601413563067708160539690694190704127, 25852016740192691292721, 13763761774552828236807257889811948862647800, 31589909506090438578325232610669161125176, 42522214602171366727136902883287959275928, 63796886006106688773005918052011061590710, 355693695396487, 13837883125207679448378430150915819070186887], 'label': '15944266600786427904000.a.116280._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116280.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116280._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035561
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [39921966, 121646414310225847, 15537062060069877188028840, 5046, 7, 51090943485650745721, 74147909893221103248534485481457214186887, 74112115885401213233040888079192970698009, 74139243551785303831005583119482880000000, 13816617680350378249715355674598693634954009, 13827523384041738404062210857889942581590710, 10341839515707972874968374875533696264664, 1307714289967, 6227388840, 8691540457466064418335919964160000000, 13837892309579119556884188242286399311464903, 13795360893629335942540465845592129536000001, 52873247251494694954493873700009026284927, 13763770984132109332983660993784541801125176, 10341839515685372987824689212030976000000, 10351066062319333759078636303928271605465, 17909873094519140279123548569600000000, 42549317087387101691686263276799145431681, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 74112141084456416976421299834237129559265, 13806311108607364185363039842803996127479264, 10351040863308540496230622586477319941056, 52891140139530935418321990970245120000000, 368041, 13837874416691038938822574137968075150397664, 26601413563067708160539690694190704127, 25852016740192691292721, 13785027762639143826815748631864114773052656, 13763761774552828236807257889811948862647800, 355693695396487, 42522214602171366727136902883287959275928], 'label': '15944266600786427904000.a.116280._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116280.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116280._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035562
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [39921966, 17909873094519140279123548569600000000, 15537062060069877188028840, 13827549977241293303448763499578295870186886, 355693695396487, 13837901018095782683618763921110249673559265, 121, 52891140139530935418321990970245120000000, 10351066062319333759078636303928271605465, 7, 74139243551785303831005583119482880000000, 10351040872150302489970324541020935941062, 10333164951421936128355790901575253052656, 13795343000723616178089158324412806210284926, 42522214602171366727136902883287959275928, 5046, 63778984895198096283599805142966670397670, 6227388840, 25852016740192691292721, 121646414310225847, 13763770984132109332983660993784541801125176, 1307714289967, 13827523384041738404062210857889942581590710, 10904406563691366305216681647, 42549317087387101691686263276799145431681, 26601413563067708160539690694190704127, 10341839515707972874968374875533696264664, 8691540457466064418335919964160000000, 31598609791050371806868882767469314954008, 368041, 13795360893620494180546726143637585920000000, 10341839515685372987824689212030976000000, 51090943485650745721, 8231680416171662519680106496000000, 13806311108607364185363039842803996127479264, 13827567853162021751117379499342889219530009, 74121342440887809382124744558956367464903, 13763761774543986474813518187857405246647801], 'label': '15944266600786427904000.a.116280._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116280.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116280._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035563
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [8841761993739701954543616000001, 10333147966386144929666651337523200000001, 122000787836928000, 8691549299243595271310888652224681647, 6266937600, 7, 42035263828378598608091413339244793492924727, 1313901388800, 5160, 13774086239192731191245646232918425600000000, 126, 42035254610585320764403423271653508468714465, 15537062060069870960640000, 367920, 51212587272118272000, 42035254618808159401800980950905136877930881, 25903107681056686080000, 356995102464000, 10351066071161095752869550484463665209600, 10904380660461683146752000000, 40279680, 8222838654177922817725562880000001], 'label': '15944266600786427904000.a.116280._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '116280.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '116280._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035564
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '2907.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': 2907, 'diagramx': None, 'generators': [13774094947718236063949083359773575336277351, 31589934705111976092035881987866663916920, 25852016738891243945647, 122000787836928000, 121, 10888895302435091045744640000, 7, 10341839515696277394388380578336192681647, 13763753091226345046315979581580902400000001, 355693695401647, 40284847, 8683317618827397705561525387264000000, 15537062060069870960640000, 5167, 6227388847, 10341856510161701644806486153142321209726, 1313941673647, 51212587272118272000, 8841761993790914898817104041647, 363007, 8222838654177974030668522426368000], 'label': '15944266600786427904000.a.2907.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2907.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2907.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035565
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31607810625840454970938231197890706576305, 31607810616987788408721874353490241131446, 5041, 8691549355333425744017028005649730264, 31607810616987788408720470724418109440001, 7, 10341831292846734347015022855512135481911, 21283345968220470876866684695590214636920, 8691549310132438818505941914916418135, 21283345977062232870499086632947736539855, 21274654436604751294819612673703936000001, 42522214611013128720875704361298703452840, 42522214611002239877328268675223728113352, 8852650863241332906462851896735, 42522214602160477857738087660405739478814, 18326773867976340254838854385960, 42513523070544773920923477922916530053431, 8691549310149270887915509626952277350, 8691540457466064418335919964160000000, 31616485711767961628452123582070784000001, 10341831292857607705255521427256959600062, 52846679259780461764097803788610141879985, 8841762019594146303292101938230, 121, 52846679259780461764046834135857638255774, 6227020801, 121645100408832001, 25852016738884976640001, 52846679250927795389646548851752960000000, 362881, 1307674368001, 10333156189224799107589469063086080000000, 355687428096001, 31616485720620612517545351926826956560848, 21274654427763004866615887231356282046767, 31607810625829565913619125423490292470327, 39916801, 42513523070555662656508594244862567636175, 10333156198077450132635950264720465977600, 10888869450418352160768000001], 'label': '15944266600786427904000.a.124032._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124032.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124032._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035566
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31008, 'diagramx': None, 'generators': [42513523061713885177361429942690800254720, 70328013425950784411331202084039944739440294, 42077777351440290731015178952714420224000006, 7, 8841794311167022497829210709350, 98620763023514117548144885986540181503440328, 42077777351440290731015178952714420263916800, 70349260969670651909620448298490920960000000, 21274654436604751294819612673703936000006, 42045596968122146098869009310901803501802281, 70349260969679504576020700600868290368952256, 42513523061702996282057079788666880000000, 98620763023505275770665737045049269616640001, 42045596968130976987478656503956554810888534, 18326773868027552485115830277166, 70349260969679493687125398044133451889864529, 8852666400252306542325770985721, 8841762020448222601430860277166, 98620763023505275770639885028310384640000000, 98588582640195972931509825756287909814537022, 121, 70349260969670651925131658341821906944005040, 121645100408832001, 70317071911266568897244803684739359118386255, 362881, 1307674368001, 98599497044172303843428038280100211149866455, 42077777351449132477713782194595333592151687, 98588582640187120265109571782133684307020801, 355687428096006, 15537220833645621115044481, 98620763023514128437040188421647978937591974, 98620763023505275770639936119252556349440001, 42513523070555647307210476846959155087590, 42077777351440290715529872139066659812897966, 42045596968122135209973706875794006067640327, 21274654427819094642762903835394242114144, 70349260969670662798489898716843081728000006], 'label': '15944266600786427904000.a.124032._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124032.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124032._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035567
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [52846679250927795415498565590637936640001, 5041, 10341839506843610994084987257487360000001, 10341839525170384862061327512326214385961, 7, 52846679250927795389698152756569541616984, 10351040863297636089718143807477400380841, 42522206388174459057645826326523234379951, 26584437368972735730962664356856561982, 10341839506843611019937773045670006385352, 52864572147850190956476222377105954993417, 21283345968220455365498246639124480000000, 31598601037695124646376837855434625797758, 10341839506854499863586496914461498679271, 100398667325309090040516146063878, 21256761576584620293040474053122847478456, 51090942171709440001, 52864572148132930561984483513480372560304, 121, 6227020801, 121645100408832001, 31598601055999298707118915519371134777606, 31607802394149134230746562077538898851615, 362881, 1307674368001, 21283345968231344234948664991285248000001, 42522206379321823679815903016626610320864, 52846679259769557383386250806296576000001, 10341839506854499889387546611771994707200, 355687428096001, 21283345968220470876708289970110464000001, 8852683206469579589662792277350, 31607802394453651601273379268344565443136, 52846679251232328297235547779699276754062, 39916801, 21283345968446346438167434712815971131512, 52864572147917976213418098482645478453409], 'label': '15944266600786427904000.a.124032._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124032.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124032._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035568
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [52846679250927795415498565590637936640001, 13785036437194565501681477828220026880000001, 5041, 13785036437194576390550979337877001018679271, 7, 52846679250927795389698152756569541616984, 10351040863297636089718143807477400380841, 21283345968220455365498246639124480000000, 13774104132135375804557709537902041887478456, 13816599770477272841705626130453510738851615, 13785036437194565517192741133253585330320864, 31598601037695124646376837855434625797758, 100398667325309090040516146063878, 51090942171709440001, 13795351692264051059857871411433249314993417, 13816599770477283730600928689786939994707200, 121, 6227020801, 121645100408832001, 31598601055999298707118915519371134777606, 362881, 13785036437212892275549454168474865734385961, 1307674368001, 21283345968231344234948664991285248000001, 52846679259769557383386250806296576000001, 13763753091226649563686506398792563445443136, 355687428096001, 21283345968220470876708289970110464000001, 8852683206469579589662792277350, 13795351692264040170962354364652289016561982, 13795351692264333799463379672569623732560304, 13774104132089721372069417782549318118453409, 52846679251232328297235547779699276754062, 39916801, 21283345968446346438167434712815971131512, 13785036437203418152570571056563481954379951, 13816599770477272841731478916220838006385352], 'label': '15944266600786427904000.a.124032._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124032.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124032._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035569
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [10341839515696261883178339152819839605102, 13774094930733188672821433006894855494636920, 13785027745662960701991459777584167398260814, 5041, 52855362577388384915008343535303481221431, 10341839506843610994084987257487360000001, 7, 10341839525170384862061327512326214385961, 13774094930742030434815014314479633652470327, 13816608453803744319966521818649007396418135, 13785027745662960701991459780952730383452841, 13795369585169804312985595734494407261879985, 13763753091235197712878248311351446297744305, 51090942171709440001, 21274654427762989301079910719160320000000, 13795369585160951646611144479557550080000000, 8897867361325681108041489730264, 13816608453803744304617168129828691025977600, 8841762019594146303292101938230, 121, 6227020801, 121645100408832001, 25852016738884976640001, 31616493943459266695468169652389836560849, 362881, 13763753091235186823820980421574725656539854, 1307674368001, 10341839515685388524937840581075015481905, 15511210043330985984000001, 8841761993739701954543616000001, 13774094930733188657310117063409633601131446, 355687428096001, 8852683206469579589662792277350, 52855362568546622787404738997928939478815, 31616493934606615860700874844531070142767, 39916801, 13795369585169793424141997332524142768113352, 42513523070555662656508594244862567636175, 13816608453803744304455362981533519491896735, 10888869450418352160768000001], 'label': '15944266600786427904000.a.124032._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124032.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124032._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035570
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [52846679250927795415498565590637936640001, 10888869501509656974138679265, 5041, 7, 52846679250927795389698152756569541616984, 10351040863297636089718143807477400380841, 13795360893620494196057989448671144370320870, 10351040863297651600979278081915896561976, 42540099276311988992324147613960678453408, 21283345968220455365498246658672184483615, 13785009852757501077338745103664297140560304, 13774094930733414548382733756912081251131512, 13795360893620798713454315142565532236754062, 18326773867976340254838854385960, 13763779675709436236823010804132322079478456, 21283345968220455365498246639124480000000, 13795360893629335942540465845592129536000001, 31598601037695124646376837855434625797758, 100398667325309090040516146063878, 13785009852757207448863786424175761954993423, 51090942171709440001, 13806275297605677743379834738918255194707201, 121, 6227020801, 121645100408832001, 31598601055999298707118915519371134777606, 13795360893620494180546726143637585920000000, 13774094930733482285811140967697890037443136, 362881, 1307674368001, 21283345968231344234948664991285248000001, 355687428096001, 21283345968220470876708289970110464000001, 8852683206469579589662792277350, 13795360893629346831435819371981040994379945, 13806275297605666854510384965352153246302152, 39916801], 'label': '15944266600786427904000.a.124032._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124032.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124032._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035571
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [52846679250927795415498565590637936640001, 5041, 21256761530851513652291850953634693893758, 10888869501509656974138679265, 7, 52846679250927795389698152756569541616984, 13795360893620494196057989448671144370320870, 26584437368972735730962664356856561982, 26584437368957224469828389918360380840, 21283345968220455365498246658672184483615, 13774094930733414548382733756912081251131512, 13795360893620798713454315142565532236754062, 18326773867976340254838854385960, 21256761549155687713033928261883774777607, 21283345968220455365498246639124480000000, 13774104132135375804557709537902041887478456, 13795360893629335942540465845592129536000001, 100398667325309090040516146063878, 51090942171709440001, 13806275297605677743379834738918255194707201, 13795351692264051059857871411433249314993417, 121, 6227020801, 121645100408832001, 13795360893620494180546726143637585920000000, 13774094930733482285811140967697890037443136, 362881, 1307674368001, 21283345968231344234948664991285248000001, 355687428096001, 21283345968220470876708289970110464000001, 8852683206469579589662792277350, 13795360893629346831435819371981040994379945, 13795351692264333799463379672569623732560304, 13806275297605666854510384965352153246302152, 39916801, 52864572147917976213418098482645478453409], 'label': '15944266600786427904000.a.124032._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124032.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124032._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035572
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [52846679250927795415498565590637936640001, 5041, 10341839506843610994084987257487360000001, 10341839525170384862061327512326214385961, 7, 52846679250927795389698152756569541616984, 42522206388174459057645826326523234379951, 10341839506843611019937773045670006385352, 13816617663392488522437682889625032574777606, 21283345968220455365498246639124480000000, 13774104132135375804557709537902041887478456, 10341839506854499863586496914461498679271, 100398667325309090040516146063878, 51090942171709440001, 13795351692264051059857871411433249314993417, 121, 13816617663374184348376940811961096065797758, 6227020801, 121645100408832001, 31607802394149134230746562077538898851615, 362881, 1307674368001, 21283345968231344234948664991285248000001, 42522206379321823679815903016626610320864, 52846679259769557383386250806296576000001, 10341839506854499889387546611771994707200, 355687428096001, 21283345968220470876708289970110464000001, 13785009852757196544457008243120363160380841, 8852683206469579589662792277350, 13795351692264040170962354364652289016561982, 13795351692264333799463379672569623732560304, 31607802394453651601273379268344565443136, 13774104132089721372069417782549318118453409, 52846679251232328297235547779699276754062, 39916801, 21283345968446346438167434712815971131512], 'label': '15944266600786427904000.a.124032._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124032.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124032._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035573
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [52846679250927795415498565590637936640001, 13785036437194565501681477828220026880000001, 5041, 13785036437194576390550979337877001018679271, 7, 52846679250927795389698152756569541616984, 26584437368972735730962664356856561982, 52864572147850190956476222377105954993417, 13816617663392488522437682889625032574777606, 21283345968220455365498246639124480000000, 13816599770477272841705626130453510738851615, 13785036437194565517192741133253585330320864, 100398667325309090040516146063878, 21256761576584620293040474053122847478456, 51090942171709440001, 52864572148132930561984483513480372560304, 13816599770477283730600928689786939994707200, 121, 13816617663374184348376940811961096065797758, 6227020801, 121645100408832001, 362881, 1307674368001, 13785036437212892275549454168474865734385961, 21283345968231344234948664991285248000001, 52846679259769557383386250806296576000001, 13763753091226649563686506398792563445443136, 355687428096001, 21283345968220470876708289970110464000001, 13785009852757196544457008243120363160380841, 8852683206469579589662792277350, 52846679251232328297235547779699276754062, 39916801, 21283345968446346438167434712815971131512, 13785036437203418152570571056563481954379951, 52864572147917976213418098482645478453409, 13816599770477272841731478916220838006385352], 'label': '15944266600786427904000.a.124032._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '124032.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '124032._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035574
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 69768, 'diagramx': None, 'generators': [25852016738884977002880, 40284721, 10888869450418352160768362880, 355687468380720, 13763753091235220281555052253277951850736430, 10333147975227906923406353292066816000000, 121, 10341831284004956816162169531924480000000, 15537062060069877187665966, 362881, 122000794063953961, 6227383680, 13774094930733188657310064568838389760000000, 7, 5046, 10904406563691366305216681647, 56606800450968003025923750568903311360000000, 42557992181986552482395041587265536000000, 8841761993739701954543616000001, 51090942171709802880, 13774086239192764712211497765944788981924480, 8231680416171662519680106496000000], 'label': '15944266600786427904000.a.139536._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '139536.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '139536._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035575
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 969, 'diagramx': None, 'generators': [13774086256187207519928480046954103083008007, 13763761969523380212901397134106306175741791, 8231691320578226211046411712681647, 10341831292846718836126122985824534895921, 42056511380338988300109991134185652919130281, 7, 8222838654203827072197213323311926, 40279687, 13763761774543963858202475099775303680000000, 10888895353647678317903191801, 56542985672073826817155558928562550745239096, 13774086247415569845747602918518711221903222, 5167, 28292749597563344025708986599357808640000000, 10341831284004956816162169531924480000000, 13763761782775655178754849294082824625294783, 13763762020469985026502703916833484924810449, 13763761774552805620222066818824466165060607, 8231951475862125993601408137098464, 56542985680287834613990432991921048050216297, 8231680416197565627718158324460806, 6266937721, 121, 28292749597563344041246101921531861635287264, 367920, 25852138739679080868487, 1307674368001, 51090942177976740487, 42066835844987755648663357412026217924029030, 169798676262199991148421362470289847, 56553327511571839554999451650703817572888446, 13763761774552805620196214923380533342852480, 13763761782775655163243588038164572313441342, 13774086256168947740245784857784187143683504, 8222849543047373236077723648000000, 25852017094572444657966, 13774086247415569860934830306917987786741632, 8241425598892815320517922950466270, 13774086239201832301992118710283050485637833, 356995102469046], 'label': '15944266600786427904000.a.3876._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3876.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3876._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035576
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 69768, 'diagramx': None, 'generators': [51090942171709802880, 42557992181986552482395041587265536000000, 10333156189416443075301932914434730667641, 40284721, 5046, 7, 10333147975509872800957732270225980060232, 56606800450968003025923750568903311360000000, 10333156189235703866072315023065504267001, 6227383680, 25852016738884977002880, 13774094930733188672847177720207427794197350, 10341831284004956816162169531924480000000, 13774086239192764712211497765944788981924480, 10341831284004956816213382120504312920262, 56553363314341857260752154690830422086380926, 8691540457514458428065866372441303385, 10888895353526034531794179072, 8683326471592422492076156961805142919, 10341839515685388524886749283263388626215, 13774094930733188657310064568838389760000000, 10333147975227906923406353292066816000000, 15537062060069877187665966, 122000794063953961, 10888869450540354262546245838, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 10888869450418352160768362880, 13763753091235220281555052253277951850736430, 13763761774543963858202475226697064162954239, 362881, 13763761782775892782571625533141120688930910, 10333156189235688002943117098399088909366, 355687468380720, 13774094922519202653995383084027652493384665, 13774086239192731206782708292988302830025295, 13774086239192742095626308488023574451554215], 'label': '15944266600786427904000.a.139536._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '139536.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '139536._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035577
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 69768, 'diagramx': None, 'generators': [51090942171709802880, 42557992181986552482395041587265536000000, 10333156189416443075301932914434730667641, 40284721, 5046, 7, 10333147975509872800957732270225980060232, 56606800450968003025923750568903311360000000, 10333156189235703866072315023065504267001, 6227383680, 25852016738884977002880, 13774094930733188672847177720207427794197350, 10341831284004956816162169531924480000000, 13774086239192764712211497765944788981924480, 10341831284004956816213382120504312920262, 8691540457514458428065866372441303385, 10888895353526034531794179072, 8683326471592422492076156961805142919, 10341839515685388524886749283263388626215, 13774094930733188657310064568838389760000000, 10333147975227906923406353292066816000000, 15537062060069877187665966, 122000794063953961, 10888869450540354262546245838, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 10888869450418352160768362880, 13763753091235220281555052253277951850736430, 13763761774543963858202475226697064162954239, 362881, 13763761782775892782571625533141120688930910, 10333156189235688002943117098399088909366, 355687468380720, 56553354631024238448865659172636020806380927, 13774094922519202653995383084027652493384665, 13774086239192731206782708292988302830025295, 13774086239192742095626308488023574451554215], 'label': '15944266600786427904000.a.139536._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '139536.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '139536._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035578
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75582, 'diagramx': None, 'generators': [10333148030141297681901507819128820465840, 28292749597572196676572179026397967394402513, 70359594142863217431500910215622712788727974, 5041, 8683317618827397705561525387264000000, 42066835836756086105849988017638748868781566, 7, 84835743978163285492177294726284970341710929, 13774094922510350018669254902126183453916216, 13774094922510360892001643382052300439514943, 15537062060069870960640000, 56542994363614284283194981756543380649425999, 51212942959546368001, 8683317618811886546609137894427846111, 6267305527, 70306747454840640233916568644057280437187799, 10333147975261412377996873333377770940726, 211685468405305603756555020443912798305680136, 10341831292846718809901993490105600554454, 355687428101047, 10333147966386160440876694668509184000000, 13774094930742041323710316749214965104640000, 13774086239192731191271498250013004232125423, 10888895302435091045744640000, 8222838669689132861056548864000000, 13774094930733199546205367003929435504640000, 121645100408832001, 126, 25852016738884976640006, 13774086247424422496312611188046579170522535, 1307674368001, 13763761825490828859430904399302510193644920, 8231691305041112938033574938396776, 56564340606624192182403333222900173156904937, 71588582144925419338107768362665728127, 368046, 10341831329433320189210764429807000764840, 13774086307106327681771340155139454643388720, 39921961], 'label': '15944266600786427904000.a.151164._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '151164.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '151164._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035579
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75582, 'diagramx': None, 'generators': [28271492836032492543079326241426300379884800, 13774094922519202654021342283240897281207807, 5041, 56574593533637657005666972546383316958551687, 8683326460589417298561814985362078086, 8683317618827397705561525387264000000, 7, 10333147966397049336230220722581977014992, 15537062060069870960640000, 13774086239192731191245646233274119255502847, 183424326601383075363417722029558524973481646, 51212942959546368001, 13795351734988066470238231609109364483840007, 13774086247424411622954370934669197595973424, 6267305527, 70423391521709148283248751587898520663479681, 355687428101047, 211791797225336927360541390437057674939740720, 8691540457466064418458678083352453424, 10333147966386160440876694668509184000000, 13774094930742041323710316749214965104640000, 10888895302435091045744640000, 8222838669689132861056548864000000, 13774094930733199546205367003929435504640000, 126, 121645100408832001, 98694884348988296437040256850747801408951680, 8222838669689132983065719318817856, 1307674368001, 13774094922510360892001643382052333181342846, 13806293215710441805333535882862517617008046, 116643557043070856050423128538073036544127, 368046, 10341839506854515400648678623792578306254, 8683326471462775537777258844373276239, 10333156189224799107640560005277779675640, 13774086239192731191245646233274119255485422, 39921961], 'label': '15944266600786427904000.a.151164._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '151164.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '151164._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035580
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 75582, 'diagramx': None, 'generators': [13774094922519202654021342283240897281207807, 5041, 56574593533637657005666972546383316958551687, 8683326460589417298561814985362078086, 8683317618827397705561525387264000000, 7, 10333147966397049336230220722581977014992, 15537062060069870960640000, 13774086239192731191245646233274119255502847, 183424326601383075363417722029558524973481646, 28271492836032492543105178258165185356524806, 51212942959546368001, 13795351734988066470238231609109364483840007, 13774086247424411622954370934669197595973424, 6267305527, 70423391521709148283248751587898520663479681, 355687428101047, 211791797225336927360541390437057674939740720, 8691540457466064418458678083352453424, 10333147966386160440876694668509184000000, 13774094930742041323710316749214965104640000, 10888895302435091045744640000, 8222838669689132861056548864000000, 13774094930733199546205367003929435504640000, 126, 121645100408832001, 98694884348988296437040256850747801408951680, 8222838669689132983065719318817856, 1307674368001, 13774094922510360892001643382052333181342846, 13806293215710441805333535882862517617008046, 116643557043070856050423128538073036544127, 368046, 10341839506854515400648678623792578306254, 8683326471462775537777258844373276239, 10333156189224799107640560005277779675640, 13774086239192731191245646233274119255485422, 39921961], 'label': '15944266600786427904000.a.151164._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '151164.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '151164._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035581
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [25852016738891243945647, 122000787836928000, 121, 10888895302435091045744640000, 7, 10341839515696277394388380578336192681647, 13763753091226345046315979581580902400000001, 355693695401647, 40284847, 8683317618827397705561525387264000000, 13774094930733199594008045168171892320367926, 15537062060069870960640000, 5167, 10341848287323047466832577485401505116726, 6227388847, 10333147966386144929825046820334226691511, 1313941673647, 51212587272118272000, 8841761993790914898817104041647, 363007, 8222838654177974030668522426368000, 21274662659443405472742430756268185764607, 13795343000732424483643782577484339522380806], 'label': '15944266600786427904000.a.162792._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '162792.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162792._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035582
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [8231680416171713610622324709686326, 121645100448753846, 10341831284015845711464607238338862188672, 7, 8683326460573906138449482042987005728, 10333156198066561127232400345100692318079, 13774086239201572953265345256152493509891504, 5167, 13774094922510360907512853564709417556576425, 6266937600, 8222838669715035972505035171536040, 8683317629700755945936546562048000000, 56617124890436041977511377071265269708544006, 13774086239192742095652209806407221851316825, 13763761782775655178916812959917415779721016, 8222838669714986540885239896291257, 10341831284004972353275442189073788352294, 8231680416171662519680106496000000, 10904406563691366305216681647, 10904406563691009303847274887, 126, 84835771063653843383743231670979510571376046, 8852650863190120306704384000000, 10341839506843643337257020000320061802887, 13774094930742041308173254689145094144000000, 13763761782766813401249899548440299486194423, 10888869501509294338704828721, 10333147966397033799117069689683968000000, 28281879696669125185767296187882782355456127, 368046, 25852016738884977007921, 51212587278345655801, 355693695038766, 13774094930742041323684464854133666799382089, 13774094930733199546179515109191338801558744, 39921961], 'label': '15944266600786427904000.a.162792._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '162792.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '162792._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035583
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '174420.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': 174420, 'diagramx': None, 'generators': [13806302408304720583476773779001138019410328, 74147901679235084448393180871330809398694, 5046, 7, 52891157115724949137914309601680444526056, 363000, 63814770689021078603651334205341696000000, 13785009869742221334430975576153522176000000, 13795343025931457392895623290632929912258687, 15537113273012830547287807, 74147901679235245793186101379856795325297, 8691540457466064418335919964160000000, 6227383806, 13795343008946443943423533831821650989118640, 10341839515685372987824689212030976000000, 51212942959586647807, 13785018544297664914927991310252619150238656, 39921847, 8231680416171662519680106496000000, 121, 1313901756841, 10904406563691366305216681647, 10333147975261412377996752045266277463807, 13785018536083668007232545777084875975561721, 42557992173201250888787532389504920657942, 52882465053603444110001471253217546407558, 8683326686723113551622752095386953623, 25852138739672853847807, 13774094930733199546179566078153571388907929, 8841761993739701954543616000001, 13763761782775666858775923156524716377240750, 122000787876844806, 13774086239192731206782760531463130170224288, 21265444848481198897025567738754625898897, 13837900992905569241894973049001520696130134, 355687468375807, 42549317087206394773822341118427136000000], 'label': '15944266600786427904000.a.174420.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '174420.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '174420.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035584
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [211759598923392332994306009218311063464379440, 5041, 10333148048401109630268771110286915551998, 15511210043330986023951774, 7, 8725511195480047757495369636413808623, 15537062060069870960640000, 10341839506922252882956831936159492203457, 25852016738891203660921, 13774139934914562083464472283363397757026680, 107357381469026998152048893850288106024, 8841777504949745285529600000000, 10333147975227986961250177236949595909623, 10333147966386144955518668076408176640000, 8683317629700755945936546562048000000, 13763842572687130698740161459557891343101665, 85107343240472969477952801209700973117313, 13859166997995869531021999878267701327100783, 10888895302435091045744640000, 121, 141410328761090781376399298637097008480737143, 6227020806, 355693695033601, 362886, 13763761782775655178754798081139870869311070, 13763753091226355935185429999933063168000000, 122000787876849961, 15511210043330986023933496, 8222849543047373236077723648000000, 39916801, 122002101778601647, 10333156198100098899040511571490149941881, 25903107681056686080000, 10333156225856584641703494226418788313032], 'label': '15944266600786427904000.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: 12035585
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5041, 7, 13774086247415580749830081655986467049900792, 13774094930742030419329656287901474074588159, 15537062060069870960640000, 8691549310116953513992272297473234231, 10333147975238811329969926782170654916904, 13763761782775655178754798081139870869311223, 13774094922510360892027495399146838660148809, 8841777504949745285529600000000, 13816626355463463435896124817797714970373040, 10333147966386144955518668076408176640000, 10888869501765747771379850591, 8683317629700755945936546562048000000, 10341839506843626531198395474700024657961, 28281834675548188789451136652804459736049841, 10888895302435091045744640000, 13763761782775644289911199679526588814234031, 121, 13774094930733199610706199858745311398892921, 28292758289103801491799308164959617363287806, 6227020806, 10333156271239811636619587931540492288000, 355693695033601, 362886, 13763753091226355935185429999933063168000000, 13774094964722186498804634099092218724777526, 15537062060069877227605990, 122000787876849961, 8222849543047373236077723648000000, 13774094922510350018643351916100091821103790, 39916801, 122002101778601647, 13774112840633451760166390841373095402316926, 25903107681056686080000, 8691549367028824057349117473099833720, 10341839515718861770163505425946350673966, 10341831292846718835754010233047634041310], 'label': '15944266600786427904000.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: 12035586
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [13795351692264040155451144204951616203877737, 13774094939504826331814975565148504363008006, 21256761530851498167146769952917433981134, 8231691320578226211046411712681647, 5041, 13795351692272881932981945962055010762495009, 7, 25852016738891243940480, 28292749605895965100558704734892959997060480, 8841761993739825859324972169521, 25903108036744154097960, 8841777505000836583395354013129, 13774094930742041308173254811147189655659006, 56564242441818686096350170039311559781417672, 28271492836041345193942409438702646871392126, 15511261134273163960745520, 42045587766774522962382972373944389662850214, 8222838654203774956109554532777640, 42066844554282414786450229947013119331318327, 56542985672064985055135969261250950118256864, 10888895302556736152420777640, 21256761539704149030121769391405822869465, 355693655116926, 21256761539693260700834241093872178206158, 25852138383985385840046, 39921847, 56542985672064985055135916118926950400000000, 126, 6267300481, 70338337364329036114967720901930098697655703, 1307674368001, 42066844528296543587426149976759531926579327, 362886, 16976216549000138624865761543683504, 28271492836297463131752012889837723298138878, 13795351692529010759095199141428762341467831, 28271492861240366860589298750219491411383800], 'label': '15944266600786427904000.a.3876._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3876.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3876._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035587
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5041, 7, 13774086247415580749830081655986467049900792, 13774094930742030419329656287901474074588159, 15537062060069870960640000, 8691549310116953513992272297473234231, 10333147975238811329969926782170654916904, 13763761782775655178754798081139870869311223, 13774094922510360892027495399146838660148809, 8841777504949745285529600000000, 13816626355463463435896124817797714970373040, 10333147966386144955518668076408176640000, 10888869501765747771379850591, 8683317629700755945936546562048000000, 10341839506843626531198395474700024657961, 10888895302435091045744640000, 13763761782775644289911199679526588814234031, 121, 13774094930733199610706199858745311398892921, 28292758289103801491799308164959617363287806, 6227020806, 10333156271239811636619587931540492288000, 355693695033601, 362886, 13763753091226355935185429999933063168000000, 13774094964722186498804634099092218724777526, 28281834675548188789425284636065580986430760, 15537062060069877227605990, 122000787876849961, 8222849543047373236077723648000000, 13774094922510350018643351916100091821103790, 39916801, 122002101778601647, 13774112840633451760166390841373095402316926, 25903107681056686080000, 8691549367028824057349117473099833720, 10341839515718861770163505425946350673966, 10341831292846718835754010233047634041310], 'label': '15944266600786427904000.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: 12035588
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [13774094930742041323684944392282743285976105, 5041, 8852650889042258692003672053414, 7, 13774086239192742112432523972169553203338591, 13774086239201572968751666712305377395750262, 13774086239201572953265289042565251958578209, 10341831284004956816162169531924480000000, 13774094930733244747166389535008136693642471, 13763753099449183700493902399306471634840241, 13774086239201572953617585931551288398980601, 13774094930742041323710367840157177138509744, 51090942171709440001, 10333156198077465507892862382627198034264, 13774094930733188657310064568838389760000000, 10333156198066576612539214352799848872342, 121, 8691540457481601531613472966481809423, 13774086239192731191245646232918425600000000, 25852016738884976640001, 121645100408832001, 6227020801, 13774086239201572968750596099865813566916054, 1307674368001, 362881, 1014776996750771760408, 13763753099458025478053283718071889257411246, 13774086239192731191245646232918425640314654, 10333156198077449970779589745065881949937, 15511210043330985984000001, 8841761993739701954543616000001, 10904784926692477871657376007, 355687428096001, 13763753099458036351815575457619258690195183, 39916801, 13774086239201572953265239355593877910194265, 13763753099467510489898940799274179992924841, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035589
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7752, 'diagramx': None, 'generators': [98631104854789291616351400724246483703458129, 98631104854789280742994073065975935734563176, 5041, 51091297859137536000, 13774094930733188672821274612169375744000001, 7, 70359594125868718470721777469508550656000001, 8841809822377187829603031269424, 56585499195135540702307066548705507302392735, 56585499195126698956418707912289005173329862, 356995102464000, 42045605659671445327412842846423366750410361, 42045605659662592676038073999126691840000000, 56585499195126688051417973198715617280000000, 13774094930742041308199106710760310378776648, 56585499195135540717818225500738607284032289, 8852650942994299270324591476064, 56585499195126698940287423617067778048000001, 13774094930733188657310064568838389760000000, 10888895302435091045744640000, 56585499195135540702605570447157428902899847, 98631104854798122489449787021443267046589150, 126, 6227020801, 8852666400303271318747054454695, 362881, 1307674368001, 70359594125859944494064993819318823108719976, 42045605659671434453568875761151112647265977, 84857009924056102959581927620378318062582463, 27157662503475667186900012012800, 39916801, 70359594125859887597597488185907475524272288, 56585499195126688051418024411302889398272000], 'label': '15944266600786427904000.a.186048._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035590
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7752, 'diagramx': None, 'generators': [5041, 51091297859137536000, 7, 28281852560213419864439474034911272304640000, 8841809822377187829603031269424, 356995102464000, 70359585434328271893552712781623932902392735, 70359585434319430147664354145207430773329862, 28281852560213408991055381643151212544000001, 42035263828378598608091362247946928128000001, 13774094930742041308199106710760310378776648, 28281852560222261626918940447116901470410361, 8852650942994299270324591476064, 42035263828378587719221911829594767360000000, 13774094930733188657310064568838389760000000, 56585507886667213302819347586400397508719976, 70359585434328271893851216680075854502899847, 84867343080245316869253572098067005440000000, 84867343080245316884791597966200632054563176, 126, 6227020801, 8852666400303271318747054454695, 70359585434328271909063871733657032884032289, 28281852560213408975544222812407498678272000, 362881, 1307674368001, 84867343080245327758148925624471180023458129, 98620771698600066817784402720153621742582463, 27157662503475667186900012012800, 39916801, 84867343080254158631247311921667963366589150, 28281852560222250753074973361844647367265977, 70359585434328261004657359133588586496000001, 56585507886667156406351841952989049924272288], 'label': '15944266600786427904000.a.186048._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035591
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [42045605659680908561036651011970240188836481, 5041, 7, 13774086239201572969316075649171097561891614, 42045605659662603564908488225525843080067608, 349616086323203341146648, 8691540468370445130010547378172687768, 42045596968122191299829980507731380431831390, 42045605659662603580876310183201064596299560, 8691540457466064418335919964160000000, 8691549310116927608578228764055664351, 42045596968130987861456328701266077528011647, 42045605659662592676038073999126691840000000, 8691549310116927608456582436532279374, 15511210169100679553955544, 13774086239201583858185577161891141101178857, 42045605659662603564933427525171088230984912, 51090942171709440001, 15511210043330986023916800, 42045596968122135257802293149081787135554265, 28271510728938245780721801504417096095645215, 13774094930742030434840866330864152335431248, 13774086239192731191271498249657310616556800, 121, 13774086239192731206756856276606413391288728, 6227020801, 28271519420469861500303637933448131436041904, 13774086239192731191245646232918425600000000, 13774094930742041323684464732833089031608615, 13774086239192742080115148511610614238007255, 362881, 28271519420469861484792427887853366648832001, 8841761993739701954543616000001, 355687428096001, 42045596968130987876373907849215637199491614, 13774086239192731191245646232919733274368001, 39916801, 8841761993790793252408982532911, 42045596968130987860836845905515533929360063, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035592
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [42035272503482209638924276604192399775645215, 42035263828378587734733121996834632556041904, 13774086239192731206756856276606413391288728, 13774094930742041323684464732833089031608615, 28281852560222261626407361842129032809360063, 28281843885118639706706013125750539400067608, 7, 10888869450418352160768000001, 13774094930742030434840866330864152335431248, 121, 8691549310116927608578228764055664351, 1307674368001, 39916801, 8691540457466064418457565064568832001, 13774086239201572969316075649171097561891614, 6227020801, 5041, 8841761993739701954543616000001, 8691540457466064418335919964160000000, 51090942171709440001, 28281843885118639706730952425395784550984912, 28281843885118628817835598899351388160000000, 15511210169100679553955544, 28281852560213409023372809085695286015554265, 8691549310116927608456582436532279374, 355687428096001, 349616086323203341146648, 28281852560222261627026844637879576408011647, 28281852560213465065400496444344879311831390, 13774086239201583858185577161891141101178857, 13774086239192742080115148511610614238007255, 28281843885118639722673835083425760916299560, 42035263828378587719247763846333652336640001, 8691540468370445130010547378172687768, 28281843885136944702834175912194936508836481, 362881, 28281852560222261641944423785829136079491614, 8841761993790793252408982532911, 28281852560213408991055381643151212544000001, 13774086239192731191245646232918425600000000], 'label': '15944266600786427904000.a.186048._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035593
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5041, 7, 13774086239192742112432523972169553203338591, 8683326471462775537776886404952053415, 10341839515696277394388380577028478034270, 13774094922519191765151734873788279190194271, 13763753099449183700493902399306471634840241, 13774094922519191780638213321441950385190262, 51090942171709440001, 8683317618811886495518194401280000001, 10333156189224814644702746616088401809423, 10333156198066576612539214352799848872342, 121, 13774086239192731191245646232918425600000000, 25852016738884976640001, 121645100408832001, 6227020801, 13774094922519191780637091618060214846916055, 13763753099449183700493902399306465280000000, 1307674368001, 362881, 1014776996750771760408, 13763753099458025478053283718071889257411246, 13774086239192731191245646232918425640314654, 10333156198077449970779589745065881949937, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 8683317629716671422210672272937376006, 13774094922519191765504081449745689678980600, 13763753099458036351815575457619258690195183, 13763753099449239790350227365476212213642471, 39916801, 13774094922519191765151784560759653238578208, 13763761782775655178755277740945220085613225, 13763761782785129301785436317468581272924840, 10888869450418352160768000001, 13763761782775655178780701188819653938514784], 'label': '15944266600786427904000.a.186048._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035594
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10333147984712934334705051305237912924840, 8231680431682872684672950846916055, 8231680416549862516358425678980600, 5041, 8231680431683994388054686385190262, 7, 8683326471478286798789513188658514784, 8683326471462775537776886404952053415, 10341839515696277394388380577028478034270, 10341831292857608137835227844717890195183, 8691540457466064418335919964200314654, 8231680416197565627372389238578208, 10341831284004956816162169531930834840241, 10341831284004956816162169531924480000000, 8691540457466064418335919964160000000, 51090942171709440001, 8683317618811886495518194401280000001, 10333156198066576612539214352799848872342, 121, 8691540457481601531613472966481809423, 121645100408832001, 25852016738884976640001, 6227020801, 56089856324966169746933642471, 1307674368001, 362881, 1014776996750771760408, 10333156198077449970779589745065881949937, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 8691540468387251296075171091763338591, 8683326471478261375341638754805613225, 8683317629716671422210672272937376006, 10341831292846734375543488297348457411246, 39916801, 8231680416197515940401015190194271, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035595
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [56595841026410703897103585786601010244272288, 13774094930733188657310115781425661878272000, 70349252294584724418312127900045072564032289, 5041, 51091297859137536000, 7, 8841809822377187829603031269424, 356995102464000, 42045605659671445327412842846423366750410361, 13774094930742030434815014314123919360000000, 13774094930742041308199106710760310378776648, 56595841026410760793571091420012357828719976, 98620763023505275770639885028310384640000000, 8852650942994299270324591476064, 13774094930733188657310064568838389760000000, 98620763023505275786177910896444011254563176, 13774094930733199546205367003929435504640000, 126, 6227020801, 8852666400303271318747054454695, 98620763023505286659535238554714559223458129, 70349252294575871751911875598022082560000000, 13774094930742030419303855483380205494272001, 362881, 1307674368001, 70349252294575882656912610311595470453329862, 42045605659671434453568875761151112647265977, 84867351755340107916398089789910242542582463, 70349252294584724402800968948011972582392735, 70349252294584724403099472846463894182899847, 27157662503475667186900012012800, 39916801, 98620763023514117532633624851911342566589150, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035596
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774112823794740177301779959905427473949480, 13774112815416114145156398786775515561711953, 10936698087904227220183269424, 5041, 7, 8691540751094565494859441557428685231, 8841762019591718710186551530590, 13774112823638952799359209289672620885579945, 8222838654177922817725562880000001, 8691540457466064418335919964160000000, 51090942171709440001, 121, 13774112815425554810505958135638409024593846, 25852016738884976640001, 6227020801, 13774112823630111037339617570959644628741063, 8691549299243569420197284782428963121, 121645100408832001, 8683344776474415823323766600579236480, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 8683326471462775588867827343319090215, 13774104140312785853954412803135467187803751, 355687428096001, 13774112815407261509829257231125601186968631, 8841762019643322934410891326776, 146650970612679909991506763159703, 39916801, 13774112815407272398672961521992399231391031, 8231680431683887719243166668703014, 13774104132089902031132629453356620482805046, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035597
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [13763761782785129286248425470342983720119806, 8231680416197565749363264920764841, 368046, 28281825992240010642863460525488425340928120, 8691549299243595271310888652224681647, 51212587278385209607, 121, 122000794103865600, 7, 8222838654177922939370663328753840, 28281852568436247629722094539190889849199920, 10333156189224814644702742077224261744041, 25852017094578671673600, 6266937607, 10904380660583328247200753846, 5167, 13763753099449183732811329841496158997458230, 8222838669715035969094600692828847, 13774094930733199561716628260204688709744047, 10888869450539997267403852801, 25852016738891203660921, 39921847, 42066844528305385333882292501445868557751681], 'label': '15944266600786427904000.a.3876._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3876.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3876._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035598
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774112815416114145156398786775515561711953, 10936698087904227220183269424, 5041, 7, 13774086247424411622929533952161592268703014, 26584437379846093971338041219028741063, 8691540751094565494859441557428685231, 8841762019591718710186551530590, 8691540457466064418335919964160000000, 51090942171709440001, 13774086247415569845423569050643988480000001, 17892897170839886983220438194882805046, 121, 13774112815425554810505958135638409024593846, 25852016738884976640001, 6227020801, 8691549299243569420197284782428963121, 121645100408832001, 26584446221608113563056754195285579945, 362881, 1307674368001, 13774094922519202654021235100745768919090215, 15511210043330985984000001, 8841761993739701954543616000001, 13774104140312785853954412803135467187803751, 355687428096001, 13774112815407261509829257231125601186968631, 13774094922537507665661469556685026179236480, 8841762019643322934410891326776, 146650970612679909991506763159703, 39916801, 13774112815407272398672961521992399231391031, 26584602008986056133726987001873949480, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035599
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774112823794740177301779959905427473949480, 10936698087904227220183269424, 5041, 13774086247424411622929533952161592268703014, 7, 26576232823619260311902719983424593846, 8691540751094565494859441557428685231, 8841762019591718710186551530590, 13774112823638952799359209289672620885579945, 8691540457466064418335919964160000000, 51090942171709440001, 26576214541207427315289073973631391031, 13774086247415569845423569050643988480000001, 121, 26576223382953910752553857089961711953, 6227020801, 13774112823630111037339617570959644628741063, 8691549299243569420197284782428963121, 25852016738884976640001, 121645100408832001, 362881, 1307674368001, 13774094922519202654021235100745768919090215, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 13774094922537507665661469556685026179236480, 8841762019643322934410891326776, 146650970612679909991506763159703, 39916801, 17901120054662708766570217041587803751, 26576214530318583610998207175586968631, 13774104132089902031132629453356620482805046, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035600
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774112815407520843019124971551021762805047, 13774112815416114145156398786775515561711953, 10936698087904227220183269424, 13774104140321333987472713771476911931211945, 5041, 7, 8841762019591718710186551530590, 13774104140312492225453122052765243348741057, 8691540457466064418335919964160000000, 13774086239201572953265289555852836491326776, 13774086239339382161858326142909932363159703, 51090942171709440001, 13774104140477121365415284441711026193949481, 8691567615128593746141492163459236481, 26576214541207427315289073973631391031, 121, 13774112815425554810505958135638409024593846, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 121645100408832001, 13774094930733482285811141092359983028685231, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 13774094930742030434815066430203208028963121, 13774094930742041308199157918471338026111015, 8841777505964901517603788703015, 39916801, 17901120054662708766570217041587803751, 26576214530318583610998207175586968631, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035601
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774112823794740177301779959905427473949480, 10936698087904227220183269424, 5041, 7, 8841762019591718710186551530590, 13774112823638952799359209289672620885579945, 13774104132107935998619462617444007744593847, 8691540457466064418335919964160000000, 26584437662585725811670059282099803751, 13774086239201572953265289555852836491326776, 13774086239339382161858326142909932363159703, 51090942171709440001, 8691567615128593746141492163459236481, 121, 13774086239192731191245646232918425600000000, 6227020801, 13774112823630111037339617570959644628741063, 25852016738884976640001, 121645100408832001, 13774094930733482285811141092359983028685231, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 13774094930742030434815066430203208028963121, 13774094930742041308199157918471338026111015, 17892896922395540819770879572351391025, 8841777505964901517603788703015, 39916801, 17892896911506697115480012774306968625, 13774104132098495333269903268581114281716993, 13774104132089902031132629453356620482805046, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035602
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774094930742030419303856642967183775645215, 28281852568436247645233304461233777191371928, 5041, 13774086239192731206756856400158290796041904, 7, 13774086239201572969316075649171097561891614, 8691540468370445130010547378172687768, 8691549310132464670521928873679491614, 28281852568436258534560330601620162196299561, 8691549310116927608578228770409360063, 8691540457466064418335919964160000000, 28281852568436258518617447943590185791068112, 8691549310116927608456582436532279374, 15511210169100679553955544, 51090942171709440001, 15511210043330986023916800, 28281852568445100296662025346518504941178737, 42035272511696206531458023434112371981151688, 28281852568436258518591596696237978078007254, 8691540457513893055821795023615554265, 8691540513555920743180444616911831390, 13774094930742030434840866330864152335431248, 13774086239192731191271498249657310616556800, 121, 28281843876904642815114497102946290151371647, 6227020801, 13774086239192731191245646232918425600000000, 13774094930742041323684464732833089031608615, 362881, 8841761993739701954543616000001, 355687428096001, 18315884998577012843548348836481, 13774086239192731191245646354563526008832001, 13774086239192731191245646232919733274368001, 39916801, 42035272511696206531108407347789168640000001, 42035263820164601715907179254178004375664345, 8841761993790793252408982532911, 10888870414226399151240067608, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035603
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774086247424422511823872321962775858514784, 5041, 7, 13774086239192742112432523972169553203338591, 8683326471462775537776886404952053415, 8691549310116927608456601943961949937, 13774094922519191765151734873788279190194271, 13774094930733244747166389535008136693642471, 8691549299243569368081209677928872342, 13774086247424422511798448874088342005613225, 13774094922519191780638213321441950385190262, 51090942171709440001, 8683317618811886495518194401280000001, 13774094930733188657310064568838389760000000, 13774086247433896634828607450611703192924840, 8231691320578226211045103998034270, 121, 8691540457481601531613472966481809423, 13774086239192731191245646232918425600000000, 25852016738884976640001, 121645100408832001, 6227020801, 13774094922519191780637091618060214846916055, 13774094930742041308631737627151183170195183, 13774094930742030434869445887603813737411246, 1307674368001, 362881, 1014776996750771760408, 13774086239192731191245646232918425640314654, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 13774094930733188657310064568838396114840241, 8683317629716671422210672272937376006, 13774094922519191765504081449745689678980600, 39916801, 13774094922519191765151784560759653238578208, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035604
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13763779675682007319754214302026448704593846, 10936698087904227220183269424, 5041, 7, 8841762019591718710186551530590, 8691540457466064418335919964160000000, 13774086239201572953265289555852836491326776, 13774086239339382161858326142909932363159703, 10359732403755117691200467270261666968631, 51090942171709440001, 8691567615128593746141492163459236481, 121, 13774086239192731191245646232918425600000000, 6227020801, 121645100408832001, 25852016738884976640001, 13763770984123267426345532583702157268741057, 13774094930733482285811141092359983028685231, 13763770984132109188365124302413825851211945, 362881, 1307674368001, 10359732403766006534904758137059711391031, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 13774094930742030434815066430203208028963121, 13774094930742041308199157918471338026111015, 13763770984287896566307694972647940113949481, 13763779675672566654404654953163555241711953, 8841777505964901517603788703015, 13763779675663973352267381137939061442805047, 39916801, 10351040863602153460510403829001907803751, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035605
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [10936698087904227220183269424, 5041, 7, 8841762019591718710186551530590, 8691540457466064418335919964160000000, 13763779667440886238232028101896558548741063, 13774086239201572953265289555852836491326776, 13774086239339382161858326142909932363159703, 10359724181210076477555503671242419803751, 10351049086147194648409239942658431391025, 13763770992346354540380885619744660162805046, 51090942171709440001, 8691567615128593746141492163459236481, 121, 13774086239192731191245646232918425600000000, 121645100408832001, 25852016738884976640001, 6227020801, 13774094930733482285811141092359983028685231, 13763770992354947842518159434969153961716993, 1307674368001, 362881, 15511210043330985984000001, 10351049086136305804704949075860386968625, 8841761993739701954543616000001, 355687428096001, 13763779667449728000251619820609534805579945, 13763779667605515378194190490842341393949480, 13774094930742030434815066430203208028963121, 13774094930742041308199157918471338026111015, 8841777505964901517603788703015, 39916801, 13763770992364388507867718783832047424593847, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035606
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [10936698087904227220183269424, 5041, 7, 26576232823619260311902719983424593846, 26584437379846093971338041219028741063, 8691540751094565494859441557428685231, 8841762019591718710186551530590, 8222838654177922817725562880000001, 8691540457466064418335919964160000000, 51090942171709440001, 26576214541207427315289073973631391031, 17892897170839886983220438194882805046, 121, 25852016738884976640001, 6227020801, 8691549299243569420197284782428963121, 26576223382953910752553857089961711953, 121645100408832001, 8683344776474415823323766600579236480, 26584446221608113563056754195285579945, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 8683326471462775588867827343319090215, 355687428096001, 8841762019643322934410891326776, 146650970612679909991506763159703, 39916801, 17901120054662708766570217041587803751, 8231680431683887719243166668703014, 26576214530318583610998207175586968631, 26584602008986056133726987001873949480, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035607
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774094930733188657310115781425661878272000, 5041, 51091297859137536000, 7, 28271510728929404018728009430288302080000000, 8841809822377187829603031269424, 356995102464000, 98631096163248834150827573853296743662582463, 42045605659671445327412842846423366750410361, 70359585434328271893552712781623932902392735, 70359585434319430147664354145207430773329862, 13774094930742030434815014314123919360000000, 98631096163248823261391628861922344960000000, 13774094930742041308199106710760310378776648, 8852650942994299270324591476064, 13774094930733188657310064568838389760000000, 56585507886667213302819347586400397508719976, 70359585434328271893851216680075854502899847, 84857018615596549551748426833057510134563176, 13774094930733199546205367003929435504640000, 126, 6227020801, 8852666400303271318747054454695, 70359585434328271909063871733657032884032289, 13774094930742030419303855483380205494272001, 362881, 1307674368001, 42045605659671434453568875761151112647265977, 84857018615605391298204140788524841446589150, 84857018615596560425105754491328058103458129, 27157662503475667186900012012800, 39916801, 56585507886667156406351841952989049924272288, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035608
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '19.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': 19, 'diagramx': None, 'generators': [8231680416197565749363264920764841, 368046, 8691549299243595271310888652224681647, 51212587278385209607, 121, 122000794103865600, 7, 8222838654177922939370663328753840, 10333156189224814644702742077224261744041, 25852017094578671673600, 6266937607, 13795343025940920304371988628683320649973464, 10904380660583328247200753846, 5167, 8222838669715035969094600692828847, 13774094930733199561716628260204688709744047, 10888869450539997267403852801, 25852016738891203660921, 39921847, 31607802402990911735696307699208262385960], 'label': '15944266600786427904000.a.19.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '19.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '19.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035609
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 969, 'diagramx': None, 'generators': [8841761993739701954543616000001, 10333147966386144929666651337523200000001, 5041, 121, 16976205660130637115928430395365550, 355687428096001, 10888869450418352160768000001, 7, 39916801, 13774086239192731191245646232918425600000000, 362881, 1307674368001, 15511210043330985984000001, 10341856510161717155965438897643984316841, 6227020801, 8683317618811886495518194401280000001, 121645100408832001, 25852016738884976640001, 51090942171709440001, 8222838654177922817725562880000001], 'label': '15944266600786427904000.a.5814._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5814.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5814._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035610
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [10333147993543807458994456909722499236480, 10936698087904227220183269424, 5041, 13763753091235186823820981442945720668963120, 7, 8841762019591718710186551530590, 13774104132107935998619462617444007744593847, 13774104132098495333294790953752656725579945, 13774086239201572953265289555852836491326776, 13774104132089653571275199235039680468741063, 13763753091372985128059209073220248395159703, 13763753091226649563686506523454656436685231, 51090942171709440001, 121, 13774104132254282711237361623985463313949480, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 6227020801, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 17892897205119661393334139317939803751, 17892896922395540819770879572351391025, 8841777505964901517603788703015, 39916801, 10333147966386144929666651337523200000001, 17892896911506697115480012774306968625, 13774104132098495333269903268581114281716993, 13774086239201583842134739582551373866111015, 13774104132089902031132629453356620482805046, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035611
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13763761782766802512380397917500866560000001, 13774112823794740177301779959905427473949480, 10936698087904227220183269424, 5041, 13763753091235186823820981442945720668963120, 7, 8841762019591718710186551530590, 13774112823630393776971457902977707699803751, 13774112823638952799359209289672620885579945, 13774104132107935998619462617444007744593847, 13763761782913442594123627409140212555159703, 8691540457466064418335919964160000000, 13763753091226649563686506523454656436685231, 51090942171709440001, 13774104132089642697942761712931199906968625, 121, 121645100408832001, 13774112823630111037339617570959644628741063, 25852016738884976640001, 6227020801, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 8841762019643322934410891326776, 8691549310116953511685552912426111015, 8841777505964901517603788703015, 39916801, 13774104132098495333269903268581114281716993, 13763753091253502708845307387153101699236480, 13774104132089653586786466003797997951391025, 13774104132089902031132629453356620482805046, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035612
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13774112815407520843019124971551021762805047, 13774112815416114145156398786775515561711953, 10936698087904227220183269424, 13774104140321333987472713771476911931211945, 5041, 7, 8841762019591718710186551530590, 13763753099449477328994978922828058548685231, 13763761774543963858202475099775303680000000, 13774104140312492225453122052765243348741057, 8691540457466064418335919964160000000, 13774104140477121365415284441711026193949481, 51090942171709440001, 121, 13774112815425554810505958135638409024593846, 25852016738884976640001, 121645100408832001, 6227020801, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 13774104140312785853954412803135467187803751, 355687428096001, 13774112815407261509829257231125601186968631, 8841762019643322934410891326776, 13763753099476341363023230204878664579236481, 8841777505964901517603788703015, 8691549310116953511685552912426111015, 13763761774690614828815155009766810443159703, 39916801, 13774112815407272398672961521992399231391031, 13763753099458025477998904260671283548963121, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035613
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13774112823794740177301779959905427473949480, 10936698087904227220183269424, 5041, 7, 8841762019591718710186551530590, 13774112823630393776971457902977707699803751, 13774112823638952799359209289672620885579945, 13763753099449477328994978922828058548685231, 13774104132107935998619462617444007744593847, 13763761774543963858202475099775303680000000, 8691540457466064418335919964160000000, 51090942171709440001, 13774104132089642697942761712931199906968625, 121, 25852016738884976640001, 13774112823630111037339617570959644628741063, 121645100408832001, 6227020801, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 8841762019643322934410891326776, 13763753099476341363023230204878664579236481, 8841777505964901517603788703015, 8691549310116953511685552912426111015, 13763761774690614828815155009766810443159703, 39916801, 13774104132098495333269903268581114281716993, 13763753099458025477998904260671283548963121, 13774104132089653586786466003797997951391025, 13774104132089902031132629453356620482805046, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035614
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [10936698087904227220183269424, 5041, 10341839506843610994084987257487360000001, 7, 8841762019591718710186551530590, 13774104132107935998619462617444007744593847, 13774104132098495333294790953752656725579945, 13763761782913442594123627409140212555159703, 13774086239201572953265289555852836491326776, 13774104132089653571275199235039680468741063, 51090942171709440001, 121, 13774104132254282711237361623985463313949480, 121645100408832001, 13774086239192731191245646232918425600000000, 25852016738884976640001, 6227020801, 13763761782767107029750924859374620596685231, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 17892897205119661393334139317939803751, 17892896922395540819770879572351391025, 8841777505964901517603788703015, 39916801, 17892896911506697115480012774306968625, 10341839534001273523412792829686659236480, 13774104132098495333269903268581114281716993, 13774086239201583842134739582551373866111015, 13763761782775644289885399778865684828963120, 13774104132089902031132629453356620482805046, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035615
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [10359732422048418367901371783069504593846, 10936698087904227220183269424, 5041, 7, 8691540751094565494859441557428685231, 8841762019591718710186551530590, 8222838654177922817725562880000001, 8691540457466064418335919964160000000, 10359724180927336845715171653179348741063, 10359732403755117691200467270261666968631, 51090942171709440001, 10351049086395638994572689501280962805046, 121, 8691549299243569420197284782428963121, 121645100408832001, 25852016738884976640001, 6227020801, 8683344776474415823323766600579236480, 10359732403766006534904758137059711391031, 1307674368001, 362881, 15511210043330985984000001, 10359724189769098865306890366155605579945, 8683326471462775588867827343319090215, 8841761993739701954543616000001, 355687428096001, 8841762019643322934410891326776, 10359732412607753018342022920176041711953, 146650970612679909991506763159703, 39916801, 10359724345556476807877560598962193949480, 8231680431683887719243166668703014, 10351040863602153460510403829001907803751, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035616
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [28281852568436247645233304461233777191371928, 5041, 13774086239192731206756856400158290796041904, 7, 13774086239201572969316075649171097561891614, 42045596968122191299829980507731380431831390, 13763761782775655163837218938821331431371647, 10341839515696261857275229566287255664345, 28281852568436258534560330601620162196299561, 28281852568436258518617447943590185791068112, 15511210169100679553955544, 42045596968122146114354367337834141692687768, 51090942171709440001, 42045596968122135209973655663206727680000000, 15511210043330986023916800, 28281852568445100296662025346518504941178737, 42035272511696206531458023434112371981151688, 42045596968122135257802293149081787135554265, 28281852568436258518591596696237978078007254, 28271510728938245780721801504417096095645215, 13774086239192731191271498249657310616556800, 121, 6227020801, 13774086239192731191245646232918425600000000, 362881, 28271510728938245796258811192314064655431248, 8841761993739701954543616000001, 355687428096001, 18315884998577012843548348836481, 13774086239192731191245646354563526008832001, 42045596968130987876373907849215637199491614, 13774086239192731191245646232919733274368001, 39916801, 42035272511696206531108407347789168640000001, 8841761993790793252408982532911, 42045596968130987860836845783869200052279374, 28271510728938256685102409594283001351608615, 42045596968130987860836845905515533929360063, 10888870414226399151240067608, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035617
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13763753091235197713255910510553617901178737, 13763753091226355935185481860273091038007254, 5041, 13774086239192731206756856400158290796041904, 13763753091226355951154215765655275156299561, 13774086239201572969316075649171097561891614, 7, 13763753091226355935211333107625298751068112, 42045596968122191299829980507731380431831390, 15511210169100679553955544, 42045596968122146114354367337834141692687768, 51090942171709440001, 42045596968122135209973655663206727680000000, 15511210043330986023916800, 42045596968122135257802293149081787135554265, 10333147966386145279282737660726541151688, 28271510728938245780721801504417096095645215, 13774086239192731191271498249657310616556800, 28281843876904642815114497102946290151371647, 121, 6227020801, 13774086239192731191245646232918425600000000, 362881, 28271510728938245796258811192314064655431248, 8841761993739701954543616000001, 355687428096001, 18315884998577012843548348836481, 13774086239192731191245646354563526008832001, 13763753091226345061827189625268890151371928, 42045596968130987876373907849215637199491614, 13774086239192731191245646232919733274368001, 39916801, 42035263820164601715907179254178004375664345, 10333147966386144929666651337523200000001, 8841761993790793252408982532911, 42045596968130987860836845783869200052279374, 28271510728938256685102409594283001351608615, 42045596968130987860836845905515533929360063, 10888870414226399151240067608, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035618
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13763779675682007319754214302026448704593846, 10936698087904227220183269424, 5041, 7, 13774086247424411607443212373578399371326782, 8841762019591718710186551530590, 8691540457466064418335919964160000000, 10359724181210076477555503671242419803751, 10351049086147194648409239942658431391025, 51090942171709440001, 8691567615128593746141492163459236481, 13774086247415569845423569050643988480000001, 121, 121645100408832001, 25852016738884976640001, 6227020801, 13763770984123267426345532583702157268741057, 13763770984132109188365124302413825851211945, 1307674368001, 362881, 13774094922519202654021235100745768919090215, 10351049086136305804704949075860386968625, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 13763779675672566654404654953163555241711953, 13763770984287896566307694972647940113949481, 8841777505964901517603788703015, 13763779675663973352267381137939061442805047, 13774086247562209927166798542283334475159703, 13774094922510654520502668692986580916685231, 39916801, 13774094922519191780637143612477645148963120, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035619
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13763761782766802512380397917500866560000001, 10936698087904227220183269424, 5041, 17901119761034207475819846817748741057, 13763753091235186823820981442945720668963120, 7, 26576232823619260311902719983424593846, 8841762019591718710186551530590, 13763761782913442594123627409140212555159703, 8691540457466064418335919964160000000, 17901284390174169638208792600593949481, 13763753091226649563686506523454656436685231, 51090942171709440001, 26576214541207427315289073973631391031, 17901128602796227067538558486331211945, 26576214789651773478738632596162805047, 121, 25852016738884976640001, 121645100408832001, 26576223382953910752553857089961711953, 6227020801, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 8841762019643322934410891326776, 8691549310116953511685552912426111015, 8841777505964901517603788703015, 39916801, 17901120054662708766570217041587803751, 13763753091253502708845307387153101699236480, 26576214530318583610998207175586968631, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035620
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 21256769991525693266548624110177839834161, 31598694690270555665669163751206423537966, 13785018544306506676895828926999141987278737, 7, 122002101778601640, 51212944273488041641, 13763761774543963858202475099775303680000000, 10341831284004956816162169531924480000000, 21256761539704164839248852260824643031102, 1313941673640, 21256769826896860884404587889824593546535, 13785018536083668007206693764498473854114895, 13774086239457712668707710473749127296231617, 13774086239192731206756856398250219449093414, 8231691305067016167715425728681646, 13785018544306495788052228219419614579071008, 16976216549000138746510861992432425, 13774086247424422512121841357059803569262712, 8231680416279726782968243912226328, 31598601037706013515774110481375725528728, 5160, 121, 40284840, 25852016738884976640001, 357001369769641, 13785018544306506661384616699348399601968944, 13774086239311355389881950605252123815436776, 6267305641, 21256769753690152830532000428835478689495, 13795343017708618383767205797210942509476607, 368041, 21256761539693260160620380232862481756743, 31598719871009826096529633269265229573182, 13795343009037910479530245463839730375907983, 8241436487762214526634381921265862, 13785018544297654026598115915242739411951694, 21256769753690168315837400651473317165566, 8841762019642931637702080681641, 17003328979545972843400216424510640, 10888869450418352160768000001], 'label': '15944266600786427904000.a.5814._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5814.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5814._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035621
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13763753099449183716005112442994453071288728, 42045605659680908561036651011970240188836481, 5041, 13774094930733188672821274612169375744000001, 7, 42045605659662603564908488225525843080067608, 13763753099458025478564331815559137241891614, 349616086323203341146648, 15537062060069870960640000, 13763753099449194589363404677998653918007255, 28281852560213409023372809085695286015554265, 1307674730880, 10341831284004956816162169531924480000000, 10341831284015861196873844159338492687768, 42045605659662603580876310183201064596299560, 28281852560222261626407361842129032809360063, 10341831292857607679352290194396852279374, 42045605659662592676038073999126691840000000, 15511210169100679553955544, 13763753099458036367433833328279180781178857, 42045605659662603564933427525171088230984912, 51090942171709440006, 13774094930733188657310064568838389760000000, 28271510728938245780721801504417096095645215, 355687468012800, 28281852560222261641944423785829136079491614, 13774094930742030434840866330864152335431248, 121, 6227020801, 28281852560222261627026844637879576408011647, 121645100408832001, 13774094930742041323684464732833089031608615, 362881, 10341831292857607679352411840724375664351, 8841761993739701954543616000001, 355687428096006, 42035263828378587734733121996834632556041904, 8841761993790793252408982532911, 28281852560213465065400496444344879311831390, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035622
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [5041, 13763779675892098005805032333044693749898471, 7, 13774086239201572968912610482252843912089022, 13763779675663724892410970446044771426415983, 10359732412596864147876060392551551050286, 13763779675919842845190550311090523224989785, 13763779675672566669994704716222872338494766, 28271510729167250433033795979348342596818351, 10359732412607753043178495484898703104414, 10359732403765991023586776790162476012823, 28281834675548188804937565035392389371781550, 51090942171709440001, 13763779675672566654403639414662278458327384, 42045596968122135209973655663206727680000000, 121, 13763779675672860298361917723584621357290281, 13774086239192731191245646232918425600000000, 10359732403765991049490262211267800412721, 25852016738884976640001, 6227020801, 121645100408832001, 13763779675663714003540714730740840597611006, 28281834675548188789451085183767859897379201, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 10359732403765991023637867378008167813126, 27168583690302315141476112624310, 39916801, 10359732403755102180039587409785237925127, 10359732412596879767041264532359581753889, 28281834675566482090101935999013444652375680, 13763779675663714019077562560998106220188927, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035898
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [18326773867976461898631588844921, 21256761557986576322681238812055018321846, 5041, 8841777530802145799910155159753, 21256761539997777531255782100105516278831, 7, 21256761539704149030121889884196248759823, 21256761530862402547592109258543494205768, 21256761530862387036917682865422335625904, 8841777504949867287625547938129, 21256761539986888635896878075784593893431, 8852666400411209697246620071663, 21256761539693260135249573817482245257016, 8852698717679500919860939344424, 10888895302435091045744640000, 121, 121645100408832001, 6227020801, 21256761530851498166881193854863456597713, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 21256761539704149030121767883482657535128, 355687428096001, 9033373267055382185328621116017, 8932147136434927261245150317231, 39916801, 45722136466758316090856965654625, 8841777531765193840667588104897, 25903107681056686080000, 51212587272118272000], 'label': '15944266600786427904000.a.744192._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '744192.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '744192._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035623
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [5041, 28281825984026024624037517663093480492375680, 7, 10351040872139398083457724472587391050286, 10351040863308524959168440870198316012823, 10351040872139413702622928612395421753889, 13774086239201572968912610482252843912089022, 10351040863308524959219531458044007813126, 13763770984351640539740613997124729589898471, 28271510729167250433033795979348342596818351, 13763770984379385379126131975170559064989785, 51090942171709440001, 28281825984007731323386666847847895737379201, 13763770984123256553013144225078142060188927, 42045596968122135209973655663206727680000000, 10351040872150286978760159564934543104414, 13763770984132109203930286380302908178494766, 28281825984007731338873146699472425211781550, 121, 13774086239192731191245646232918425600000000, 25852016738884976640001, 6227020801, 121645100408832001, 13763770984132109188339221078742314298327384, 10351040863297636115621251489821077925127, 362881, 1307674368001, 15511210043330985984000001, 13763770984123267426346552110124807266415983, 10351040863308524985071926291303640412721, 8841761993739701954543616000001, 13763770984123256537476296394820876437611006, 355687428096001, 13763770984132402832297499387664657197290281, 27168583690302315141476112624310, 39916801, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035624
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [5041, 8691540457466064418457565064569194880, 7, 26584437379846119823610873744600412720, 28271510737152242672905932248013864960000001, 28271501519350111339454719020073023637611006, 28271492844264172959358785783639083421753889, 26584702339560868310431464164440989785, 28271501519350111339480356806985347477925127, 26584446221608113511843791688377379200, 28271510737179411256596234563155341072624304, 8691540457466064418335919964160000000, 26584464514908764362659037273132375681, 26584437368972761582979417203820188926, 26584446221608087659833437063486423384, 28271519412255864608281469197817121672088902, 51090942171709440001, 28271501519350122228324974735376954466415983, 28271492844264183848121402865860464891781550, 28271501519350122228323903996365724716012823, 121, 6227020801, 25852016738884976640001, 28271501519350122228349756013105917327104415, 362881, 15511210043330985984000001, 28271492844264477476567349312447965997290281, 8841761993739701954543616000001, 26584446210719218209409055028351050287, 355687428096001, 28271492844255342070615382386484732007813126, 26584665752959489052751463791349898465, 39916801, 26584446221623678725134641969938494767, 8691540457466064418335921271834368001, 237846414305786549060040516818351, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035625
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [5041, 8691540457466064418457565064569194880, 7, 28271510737152242672905932248013864960000001, 26576223676597868015324278156077290281, 17901119761034208495346269467746415983, 26576214541191916048398314922087813126, 28271510737179411256596234563155341072624304, 28271492836260876529832541104182475509898465, 28271492836059638479107851011755957292375681, 8691540457466064418335919964160000000, 28271492836032503416463311963592428760412720, 28271492836041345178431148186155747646423384, 28271519412255864608281469197817121672088902, 28271492836032492543105071332135887980188926, 51090942171709440001, 28271492836297463131211798784182848600989785, 17901119761034233276623998430607104415, 121, 26576223382969422068877690654971781550, 6227020801, 25852016738884976640001, 28271492836041345178457000196510372537379200, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 26576223372080659451795469273501753889, 28271492836041345194022213487360654098494767, 28271492836041334289561697761773712511050287, 39916801, 8691540457466064418335921271834368001, 17901119750145363877417877860757925127, 17901119750145338239630965536917611006, 237846414305786549060040516818351, 17901119761034207424607258237996012823, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035626
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [5041, 8691540457466064418457565064569194880, 7, 26584437379846119823610873744600412720, 28271519420469861484792427766208266240000000, 28271519420707707899098214315268306756818351, 17892905764157535522268554081982341550, 17892896922380029552880120520807813127, 26584446221608113511843791688377379200, 26584437379846093920125452639276012817, 28271492836260876529832541104182475509898465, 8691540457466064418335919964160000000, 26584464514908764362659037273132375681, 28271492836041345178431148186155747646423384, 8691567626049754720651061440272624310, 28271492836032492543105071332135887980188926, 51090942171709440001, 28271492836297463131211798784182848600989785, 26584437379846119772142192831887104414, 121, 6227020801, 25852016738884976640001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 26584446210719218209409055028351050287, 355687428096001, 28271501527572960882502948644044689055855983, 17892905753268772956277274872221753888, 28271492836041345194022213487360654098494767, 39916801, 8691540457466064418335921271834368001, 28271510728938245796394973679622720392089022, 28271492836041627933519976076370242349290281, 26584437368957250372936072262037925126, 28271501527572949993632641837798586517611007, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035627
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [5041, 7, 28271510737152242672905932248013864960000001, 13774112815416114160667715110609080571781550, 121645100409194880, 13774112815416103271905098028387699101753889, 42045579075225223734350717565054313580188926, 28271510737179411256596234563155341072624304, 8691540457466064418335919964160000000, 13774104140312492225478922856916856207104415, 13774104140312492225453070840176663596012823, 28271519412255864608281469197817121672088902, 42045579075252369670353497244674382892375681, 42045579075225234607708958196510854360412720, 121, 6227020801, 25852016738884976640001, 8691540457466064469426862135869440001, 42045579075490194322457445017101274200989785, 362881, 15511210043330985984000001, 13774112815407272383161694631233347687813126, 8841761993739701954543616000001, 355687428096001, 42045579075234065480807343994692138111050287, 13774104140312481336583885863883962517611006, 13774104140312492225454141579187893346415983, 42045579075234076369702646429428798137379200, 42045579075453607721078187337100901109898465, 39916801, 8691540457466064418335921271834368001, 13774104140312481336609523650796286357925127, 42045579075234076369676794419074173246423384, 237846414305786549060040516818351, 13774112815416407789113661557196581677290281, 42045579075234076385267859720279079698494767, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035628
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13774112823638952814924371367560395538494767, 5041, 7, 28271510737152242672905932248013864960000001, 13774112823630100164007229212335629420188926, 42045587758542842530726003039903773077925127, 121645100409194880, 42045579083448073261861028619403157607813126, 28271510737179411256596234563155341072624304, 13774112823630111037365469843792170200412720, 8691540457466064418335919964160000000, 13774112823895070752113956664382590040989785, 13774112823858484150734698984382216949898465, 28271519412255864608281469197817121672088902, 42045587758542853419595402246024342927104415, 13774112823638952799359158076710113977379200, 13774112823657246100010008891955698732375681, 42045579083457208667812995545366391597290281, 121, 6227020801, 25852016738884976640001, 42045579083456904150604432016557509021753889, 13774112823638941910463855641973453951050287, 8691540457466064469426862135869440001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 39916801, 8691540457466064418335921271834368001, 42045587758542853419569550229284150316012823, 237846414305786549060040516818351, 13774112823638952799333306066355489086423384, 42045587758542842530700365252991449237611006, 42045587758542853419570620968295380066415983, 10888869450418352160768000001, 42045579083456915039367049098778890491781550], 'label': '15944266600786427904000.a.186048._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035629
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [42045587766765681184903925857629335957925126, 42045579075225234607683105801677594727813127, 13774112823638952814924371367560395538494767, 5041, 7, 42045579075234076385189075190111155902341550, 13774112823630100148470381382078363797611007, 28271519420469861484792427766208266240000000, 28271519420707707899098214315268306756818351, 13774112823630100164007229212335629420188926, 121645100409194880, 42045587766765692073773325063749905807104414, 8691540457466064418335919964160000000, 13774112823895070752113956664382590040989785, 13774112823858484150734698984382216949898465, 13774104132098778088357715620650019629290281, 8691567626049754720651061440272624310, 42045579075234065496426509198831946141753888, 42045579075252369670353497244674382892375681, 42045579075225234607708958196510854360412720, 121, 6227020801, 25852016738884976640001, 8691540457466064469426862135869440001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 42045579075234065480807343994692138111050287, 42045579075234076369702646429428798137379200, 42045587766765692073747473047009713196012817, 39916801, 8691540457466064418335921271834368001, 28271510728938245796394973679622720392089022, 13774112823638952799333306066355489086423384, 13774112823630111037340688188324466335855983, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035818
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [5041, 8852666374400163637770968095134, 7, 15511210164976086392832000, 8222849543073276465760882112681825, 8222849543073276465760882162286935, 8691549310132438818621204063047474214, 8691549310132438818499928611698533350, 8683317629700755945936546562048000000, 10341839515685388499086969867097174980175, 51090942171709440001, 10341831292857607679352289838628864000000, 8683326460574014149824238079113098465, 122000787837290881, 121, 8683326460589417348492815778305094711, 85053630579068265976496862928301433200046, 25852016738884976640001, 21265453071308996494666873979492560896001, 6227020806, 8852650863190120306704384000000, 8691549310132438818621204062613619489, 362881, 1307674368001, 10341831284004956816213386659381826368120, 355687428096001, 8691540457481575735684147283156290145, 10333147975227954751885443329929224560046, 8231680416171662641325213132227798, 8222849543047373236077723648000000, 39916801, 10386868850618629224902040615930237296041], 'label': '15944266600786427904000.a.651168._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '651168.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '651168._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035630
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [42045587766774533851253493526031120062341550, 17892896922380029501789532675116012817, 17892896911491185954600152297877925126, 13774112823638952814924371367560395538494767, 5041, 7, 13774112823630100148470381382078363797611007, 13774112823639235554422133956569983789290281, 13774112823630100164007229212335629420188926, 17892896922380029552880120520807813127, 42045605659662592676038073999126691840000000, 28271510729167250433033795979348342596818351, 13774112823895070752113956664382590040989785, 42045587766774533835767064765348762297379200, 13774112823858484150734698984382216949898465, 13774094930742030434977028818172808072089022, 51090942171709440001, 13774094930733188657310064568838389760000000, 121, 25852016738884976640001, 6227020801, 121645100408832001, 17892896922380055353806272867727104409, 362881, 1307674368001, 15511210043330985984000001, 42045587766792827136417915580594347052375681, 8841761993739701954543616000001, 355687428096001, 17892905753268772956277274872221753888, 27168583690302315141476112624310, 39916801, 17892896922380055405274953780440412720, 13774112823638952799333306066355489086423384, 17892905753253153791073135064191050287, 13774112823630111037340688188324466335855983, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035631
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [13774094922510350018643351916444620729093415, 8231691320578226211046411712681647, 10341831548986434278226410362626176231617, 13795351692272892821825495699981765596110737, 31598694690270555665669163751206423537966, 10341831402629155452466541865622695436776, 31598601046547759998303769105020401968944, 7, 13795351811097354872412509214850167629573176, 122002101778601640, 51212944273488041641, 10341831284004956816162169531924480000000, 31598592823709105820380834255094654114895, 13785009861053241907200384169470726993546534, 1313941673640, 13785009852766049211155228433841727003114302, 8231691305067016167715425728681646, 13763753099458025462595706364904833740322328, 10341839515696277692357293673302449262712, 31598601037706013515774110481375725528728, 5160, 121, 40284840, 13785009860980035214631816982232375716802686, 25852016738884976640001, 357001369769641, 13785009860980035199146511582011045553057495, 13795351692272881932981894870757137779071009, 21256778515887192521559564292516909476607, 13763753108229674025861952424981118824510641, 6267305641, 13763753091226345046315979581580902400000001, 368041, 13785009861071524334600578812502207175907977, 13763753108202561595316118328091764392432431, 13785009861217870739582528205691080239834160, 21256761539693260160620380232862481756743, 13795351692264040171527782566580262611951695, 13763753099467770645208743689863123553265862, 8841762019642931637702080681641, 10888869450418352160768000001], 'label': '15944266600786427904000.a.5814._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5814.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5814._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035632
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13774094930733188657310064568839697434368006, 13763779675672566669915971276997120251781550, 42045587758551695181589141947978886543104414, 5046, 13763779675892098005805032333044693749898471, 7, 13774094930733188657310115660136248897536000, 42045587758542842530726003039903773077925127, 10351040872139413702622928612395421753889, 13763779675663724892410970446044771426415983, 13763779675919842845190550311090523224989785, 10351040863308524959219531458044007813126, 13763779675672566669994704716222872338494766, 8841777504949745285529600000000, 28281852560222250753211135849154644872089022, 42045587758551684292693839512886539391050286, 13763779675672566654403639414662278458327384, 42035263828378587719221911829594767360000000, 13774094930733188657310064568838389760000000, 13774094930733188657310064690483490168832120, 42035263828616434133527698378654807876818351, 126, 13763779675663714003540714730740840597611006, 13763779675672566654429491425372590777379201, 6227020806, 25852016738884976640006, 28271492844264477476567349312447965997290281, 362886, 13763779675690859955080342240618175532375680, 8841761993739701954543616000001, 355687428096006, 39916806, 42045587758542853419595453714705255640412721, 42045587758542853419569550229284150316012823, 42035263828405756302912214144736243472624310, 13763779675663714019077562560998106220188927, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035633
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13763761782766802512380397917500866560000001, 10936698087904227220183269424, 5041, 13763753091235186823820981442945720668963120, 7, 26584437379846093971338041219028741063, 8841762019591718710186551530590, 13763761782913442594123627409140212555159703, 8691540457466064418335919964160000000, 26584437662585725811670059282099803751, 13763753091226649563686506523454656436685231, 51090942171709440001, 17892905764142024257035662688681716993, 17892897170839886983220438194882805046, 121, 121645100408832001, 25852016738884976640001, 6227020801, 26584446221608113563056754195285579945, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 17892915204807373816384525582144593847, 8841762019643322934410891326776, 17892896922395540819770879572351391025, 8691549310116953511685552912426111015, 8841777505964901517603788703015, 39916801, 17892896911506697115480012774306968625, 13763753091253502708845307387153101699236480, 26584602008986056133726987001873949480, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035634
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [10936698087904227220183269424, 5041, 17901119761034207475819846817748741057, 7, 26576232823619260311902719983424593846, 8841762019591718710186551530590, 13763753099449477328994978922828058548685231, 13763761774543963858202475099775303680000000, 8691540457466064418335919964160000000, 17901284390174169638208792600593949481, 51090942171709440001, 26576214541207427315289073973631391031, 17901128602796227067538558486331211945, 121, 26576214789651773478738632596162805047, 25852016738884976640001, 121645100408832001, 26576223382953910752553857089961711953, 6227020801, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 8841762019643322934410891326776, 13763753099476341363023230204878664579236481, 8841777505964901517603788703015, 8691549310116953511685552912426111015, 13763761774690614828815155009766810443159703, 39916801, 17901120054662708766570217041587803751, 26576214530318583610998207175586968631, 13763753099458025477998904260671283548963121, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035635
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [42035272503473367876930484530063605760000000, 84867333870666317833992517553552415844452071, 84867333870684317506167980333340621837751686, 121645100408832120, 13774094930733188672821274612169375744000001, 7, 13774094930733188657335916585577348111799384, 6227383680, 8841809822377187829603031269424, 13774094930733188672847126628908260720640000, 42035272503482209638950076251778318390585726, 1509311264445774, 355687428458880, 10888869501509294332477440000, 84867333870674876856354416409431271537847817, 84867333870666035094361212324057670934945279, 70359612010542791307729809130290246116968528, 13774094930733188657310064568838389760000000, 355687468012800, 5160, 84867333870674876856354416409431271540278688, 70359612010533960450117109294688855507796343, 126, 28281843885127729928556434104270038070183656, 362881, 13774094930733199561690725030521536512000000, 1307674368006, 8841761993739701954543616000001, 56585517096246709240935095699946730889802833, 84867333870702882206000333620829053482451321, 42035272503482514156294750914777186307518766, 27157662503475667186900012012800, 13774094930733188657335916585577301650619734, 98620745122385536529709117976838039139185400], 'label': '15944266600786427904000.a.186048._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035636
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [84867325187366698694281484815146220557751687, 98620753805703448970070358084422392932452071, 7, 98620753805703155341569602436575481027924479, 56595858919316446261413829548709343716968529, 13774094930733188657335916585577348111799384, 6227383680, 42045596968131236320694490868125377590183656, 8841809822377187829603031269424, 28271519420479007764156694150921846787518766, 98620753805740002437697513690015883818451321, 1509311264445774, 355687428458880, 84867325187348416282500727864320222819185401, 28271519420478703246812019487922978870585726, 56595858919307615403801129834753053516628343, 51090942171709440001, 42045596968122135209973655663206727680000000, 13774094930733188657310064568838389760000000, 5160, 121, 25852016738884976640001, 121645100408832001, 98620753805711997103562806521949087860278689, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 56595858919307875543573335173398192898634833, 27157662503475667186900012012800, 39916801, 13774094930733188657335916585577301650619734, 98620753805711997103562806521949087857847823, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035637
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [10936698087904227220183269424, 5041, 7, 26584437379846093971338041219028741063, 8841762019591718710186551530590, 13763753099449477328994978922828058548685231, 13763761774543963858202475099775303680000000, 8691540457466064418335919964160000000, 26584437662585725811670059282099803751, 51090942171709440001, 17892905764142024257035662688681716993, 17892897170839886983220438194882805046, 121, 121645100408832001, 25852016738884976640001, 6227020801, 26584446221608113563056754195285579945, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 17892915204807373816384525582144593847, 8841762019643322934410891326776, 17892896922395540819770879572351391025, 13763753099476341363023230204878664579236481, 8841777505964901517603788703015, 8691549310116953511685552912426111015, 13763761774690614828815155009766810443159703, 39916801, 17892896911506697115480012774306968625, 13763753099458025477998904260671283548963121, 26584602008986056133726987001873949480, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035638
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13774112815407520843019124971551021762805047, 13763761782766802512380397917500866560000001, 13774112815416114145156398786775515561711953, 10936698087904227220183269424, 13774104140321333987472713771476911931211945, 5041, 13763753091235186823820981442945720668963120, 7, 8841762019591718710186551530590, 13774104140312492225453122052765243348741057, 13763761782913442594123627409140212555159703, 8691540457466064418335919964160000000, 13763753091226649563686506523454656436685231, 13774104140477121365415284441711026193949481, 51090942171709440001, 121, 13774112815425554810505958135638409024593846, 25852016738884976640001, 121645100408832001, 6227020801, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 13774104140312785853954412803135467187803751, 355687428096001, 13774112815407261509829257231125601186968631, 8841762019643322934410891326776, 8691549310116953511685552912426111015, 8841777505964901517603788703015, 39916801, 13774112815407272398672961521992399231391031, 13763753091253502708845307387153101699236480, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035639
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [98620753805703155341595613495032440419185401, 70349270187472794147478870064527594316628343, 98620753805703448970070358084422392932452071, 25852016738958351799384, 42045579075243517035001568380285942797751687, 7, 98620753805703155341569602436575481027924479, 70349260969670651909620448298490920960000000, 6227383680, 42045596968131236320694490868125377590183656, 70349270187481625005091569778483884516968529, 8841809822377187829603031269424, 98620753805740002437697513690015883818451321, 1509311264445774, 355687428458880, 25852016738911890619734, 51090942171709440001, 42045596968130976971993247384921440310585726, 42045596968122135209973655663206727680000000, 5160, 121, 25852016738884976640001, 121645100408832001, 98620753805711997103562806521949087860278689, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 42045596968131281489337922047920308227518766, 27157662503475667186900012012800, 39916801, 17892897182535339199805150651138634833, 98620753805711997103562806521949087857847823, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035640
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763753091226345046316031050629982536988840, 5041, 10341839506843610994084987257487360000001, 7, 13774094930733188657336931741061741999015536, 15537062060069870960640000, 8841762019591718693428592640000, 13795351684041212390143102300046512193330639, 13785009860980181625753125345160643631308201, 13774094930742041308174270233665099964105889, 13785009860998339388181135280480908865898880, 51090942171709440001, 13774094930733188689627440798795184885893431, 13774094930733188657310064568838389760000000, 27168535887619149890439156460806, 10888895302435091045744640000, 121, 33763615235949839947287799680, 10341839515831815616801067133373451414808, 6227020801, 121645100408832001, 25852016738884976640001, 21256769762542818693351777709530019589167, 13795351684041201501273172462523563858154449, 362881, 1307674368001, 13795351684050043263266961852547270881648289, 355687428096001, 13785009860988887849498123486763161256437351, 39916801, 13785009860980035214172044603157265998935687, 31598592823698232488043689670292241367369, 25959320877886673321646, 13795351684050043263292762009700595179945656], 'label': '15944266600786427904000.a.186048._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035641
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [84867325187385263378602628059303666218451321, 84867325187348709910975472453710175332452071, 25852016738958351799384, 13774112823630371192649264373989040898634833, 7, 56595858919316446261413829548709343716968529, 70349260969670651909620448298490920960000000, 6227383680, 42045596968131236320694490868125377590183656, 8841809822377187829603031269424, 1509311264445774, 355687428458880, 25852016738911890619734, 84867325187348416282500727864320222819185401, 56595858919307615403801129834753053516628343, 51090942171709440001, 42045596968130976971993247384921440310585726, 42045596968122135209973655663206727680000000, 5160, 121, 25852016738884976640001, 121645100408832001, 84867325187357258044467920891236870260278689, 84867325187348416282474716805863263427924479, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 84867325187357258044467920891236870257847823, 42045596968131281489337922047920308227518766, 27157662503475667186900012012800, 39916801, 28271501527591243309820340483287481357751687, 10888869450418352160768000001], 'label': '15944266600786427904000.a.186048._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035642
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [10333147966386160440876816669317049093415, 8231691320578226211046411712681647, 13785018637950229457051982093994585623537966, 10341831548986434278226410362626176231617, 13795351692272892821825495699981765596110737, 10341831402629155452466541865622695436776, 7, 13795351811097354872412509214850167629573176, 122002101778601640, 51212944273488041641, 8691549299228166222301518332620322328, 10341831284004956816162169531924480000000, 13795343000732424451406266613151288081756743, 13785009861053241907200384169470726993546534, 1313941673640, 13785018536083668007206693764498473854114895, 8700320947791432468361594617704510641, 13785009852766049211155228433841727003114302, 8231691305067016167715425728681646, 8683317618811886495518194401280000001, 10341839515696277692357293673302449262712, 13785018544297664914902087040724754925528728, 5160, 121, 40284840, 13785009860980035214631816982232375716802686, 25852016738884976640001, 13785009860980035199146511582011045553057495, 357001369769641, 13785018544306506661384616699348399601968944, 13795351692272881932981894870757137779071009, 6267305641, 13795343017708618383767205797210942509476607, 368041, 13785009861071524334600578812502207175907977, 13785009861217870739582528205691080239834160, 8700293835360886634264705263272432431, 8691559044410779259626476622433265862, 13795351692264040171527782566580262611951695, 8841762019642931637702080681641, 10888869450418352160768000001], 'label': '15944266600786427904000.a.5814._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5814.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5814._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035643
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 186048, 'diagramx': None, 'generators': [13774094930742041323710316749214971506649743, 13816644239597567302312476692655387522873727, 11227013936789152087270920246, 13774094930742030419329656413301525025829449, 5046, 7, 363000, 13774094930742041323710367840512830559087048, 13774094930742030434815014436131607996348806, 13774094930742041323684515823773945492954959, 13774094930742143550569777879496833833337023, 28271492836032526000759282780675495932657841, 13774094930742030419303855483381553622497070, 6266937600, 13774094930742041308173305780444260998608215, 10888869501630939439113660846, 355687468012800, 10888895302435448040887389423, 51091297859177452801, 10904406563691364997502396847, 121, 10904406563691366305216681647, 25852016738884976640001, 13774094930742063908086250269901073797621345, 122000794064316726, 15511210043332299927741937, 13774094930742030419303804271148620804096007, 13774094930742324370869931672062423483964510, 13774094930742041308576929346255759894656001, 22616585191192988310811372801, 98609830200370359500174559127817371456593961, 15537115066077810680452144, 39916801], 'label': '15944266600786427904000.a.186048._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '186048.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '186048._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035644
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '201552.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': 50388, 'diagramx': None, 'generators': [5041, 7, 13763753099449194604954367291159208358229465, 183499065528875017562882683319126650233199926, 51212944267260652801, 13763761782775644274589999278143878302252798, 13763761782775644274374137619831946978101816, 13774086239192731191245646233283849783948118, 25903229683158464681647, 8683317629700755945936546562048000000, 98588582648418811585687746901880922940492920, 8841777559008827907220768188726, 13774086247424422511823823024798220214536897, 13774086239201583842109906830866065288146351, 121, 10341839506843626531147047327364548024111, 121645100408837040, 6227025840, 10904380660461683146752000000, 8852650863190120306704384000000, 8852650863241333259354394389166, 1307674368001, 362881, 355687428101040, 13763753091226355935185429999933063168000000, 13763753099458036351382995749295020417633862, 10341839506854499889438634937119563368457, 10333147966397033799117069689683968000000, 13763753091235186808309770374477624254474455, 13774086239201572968750647069154509653168854, 13763753099458036351382995749295047325573072, 13774086239192731191245697445861391413345609, 8222849543047373236077723648000000, 39921840, 13774086247415580734318871607381448577213360], 'label': '15944266600786427904000.a.201552.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '201552.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '201552.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035645
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [63770301568906533868804879095337167324841, 17918104785856822480501137589228298881, 5041, 8683326460573880235220148944896000000, 7, 31589934696270214098296180033323008000001, 52864580910036326752306247995608512681647, 10351049086169778970124513131759092137640, 63778967919015083814530885044601286766062, 31625720490082597998712506051018545923504, 74121325464693908017753387130880000000001, 74112115876559466776309849305718247708102, 63788194465863193646599322427268232275327, 31634386840370757829616432796160030831936, 11147055948108179881936358526, 52882456830753885551418191469272432640001, 10341839515685372987824689212030976000000, 31598618022719899109080981830107136000000, 10359732412596864173728200285815109487416, 52846671036953535327716685781926592937527, 42540116261258089302622641352889986262711, 8231680416171662519680106496000000, 121, 63788185721157306161312110612067203241646, 6227020801, 362881, 1307674368001, 63788177489477068112400105842281339197366, 355687428096001, 35794025503398491765261329760256000000, 74130025749664859274880560797586478230457, 63806087362571393592917627472572971470121, 52855362577410953671667306425691525621344, 39916801, 31589926482273321939965081002556398402552, 52882456830753885525566174730387456000000, 42549325831719910963099127143156077014705], 'label': '15944266600786427904000.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: 12035646
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [10377617077827939136316124125845460775889, 5041, 63788185721157306135511184814039997162025, 13816635548057109821060718918128896599838081, 8683326460573880235220148944896000000, 7, 13837856540770310523712945858684772152992120, 13785018561273847942908166810195771763875073, 13816617680350378265226565716021399905859240, 13795369576938123881328575314399296726422977, 42558000395994349047289831985699161859263, 63796869030172249675374646198408416443095, 13763779692639897031520729669673014629215071, 10341839515685372987824689212030976000000, 13816608453803733431097122484856065838718663, 51090942171709440001, 31589926482262659211858908076485632081281, 13774094930742053051426057523494126272937526, 13785054347067660020821756957400943979810439, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 10333156189224799107590616199696701219121, 25852016738884976640001, 121645100408832001, 6227020801, 35785793822982320102741649653760000000, 10377617077838843542779439119219482319054, 13827549960256279387182656601144147216324175, 362881, 1307674368001, 52882465044750777709749290501406720000000, 21256778507034526121256292618076160000000, 355687428096001, 13827541268715821936305629172172620045914959, 31598618022719899134984211513265600319070, 13806284532393014589478319332798484642883127, 52855362577410953671667306425691525621344, 39916801, 52846679250939039479560668238980172946208, 13806275305828505508662454997289533440000001, 15537113273014144448681646], 'label': '15944266600786427904000.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: 12035647
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [10377617077827939136316124125845460775889, 5041, 63788185721157306135511184814039997162025, 42531432943639277416128533915358565215071, 8683326460573880235220148944896000000, 7, 10368933760209127249769398619524459810439, 42558000395994349047289831985699161859263, 63796869030172249675374646198408416443095, 10359741165952142330841457075212641859240, 8852650889093354521853142422977, 10341839515685372987824689212030976000000, 51090942171709440001, 21283337745381816698836563188027182718663, 31589926482262659211858908076485632081281, 26593190904942595115669943210146883127, 8231680416171662519680106496000000, 121, 63796860807084845539879060107288376992120, 10904406563691366305216681647, 10333156189224799107590616199696701219121, 6227020801, 121645100408832001, 25852016738884976640001, 35785793822982320102741649653760000000, 10377617077838843542779439119219482319054, 362881, 1307674368001, 52882465044750777709749290501406720000000, 10359741165952142356693595111866739875073, 21256778507034526121256292618076160000000, 8841761993739701954543616000001, 31598618022719899134984211513265600319070, 355687428096001, 10377625300677482533360890724747863838081, 52846671028111773333976983827382976937526, 74103457766814972723764236559826192324175, 74147926869415020124013701397774605914959, 52855362577410953671667306425691525621344, 39916801, 52846679250939039479560668238980172946208, 15537113273014144448681646], 'label': '15944266600786427904000.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: 12035648
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [74130008773470990469545711444811576992121, 10333156189224799107590616199696701219121, 10359749388790796508764274800775521859241, 13774094922519203009215795572454597708946208, 13763788877029020695010533699812514137859263, 10368941983058670646865372530346583838080, 35785793822982320102741649653760000000, 13785045663750041208935261439206542699810559, 7, 31598618022719899134984211513265600319070, 13785045663750041208935312646518462420775889, 26601413743596773038487668773026883126, 121, 13785018553051009288730243992470208843958273, 13763779684417058377342806851947451749215065, 63796869030172249675374646198408416443095, 1307674368001, 39916801, 13774086239192753775647431770343419269621344, 121645100408832001, 6227020801, 8231680416171662519680106496000000, 5041, 51090942171709440001, 8683326460573880235220148944896000000, 25852016738884976640001, 13806275305837347270656194699244077056000000, 13816608453794891669103382782901522222718657, 10341839515685372987824689212030976000000, 13837901009881763174230009241749873597162025, 355687428096001, 21256778507034526121256292618076160000000, 10904406563691366305216681647, 13806293215710442015963670084958989312081281, 10377617077838843542779439119219482319054, 13795369576946965643322315016353840342423097, 63814778903028875194347050060251445831759, 15537113273014144448681646, 13837883108222665532112323252481664189303375, 362881, 13774094930733211289432317821539582656937527, 52882465044750777709749290501406720000000], 'label': '15944266600786427904000.a.232560._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035649
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [13816617655151345678713606823780876613487416, 63770301568906533868804879095337167324841, 5041, 63796869029934340517056839843967531470121, 8231680416197514536418991472640001, 8683326460573880235220148944896000000, 7, 13837874441890060636491883541042758086766062, 35785793823272769866744369856305923504, 74147918646565461539578283588321280000000, 17909873105408035581558640983022402552, 42549308855525978602159821438320640000000, 10341839515685372987824689212030976000000, 42522214602171609402423523888512976358526, 13763797585545661189055179666809899373014705, 52846671036953535327716685781926592937527, 21292564300868412847922725634035136681647, 42540116261258089302622641352889986262711, 13806302417066906719272767319737651230831936, 8231680416171662519680106496000000, 121, 6227020801, 35785793822982320102741649653760000000, 362881, 1307674368001, 63788177489477068112400105842281339197366, 13837865215325957331816384767717088392275327, 355687428096001, 42549317087217283669175989153746368681646, 52855362577410953671667306425691525621344, 39916801, 52864589124022314529976885344596048041646, 13827541293914832729594329202628828647708102, 13785009852766071795153231496673625588137640, 13827559161621575173948261292902192174230457, 74112132852742479219475663940769298601647, 42540124475265902997293397166113772298881], 'label': '15944266600786427904000.a.232560._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035650
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [63770301568906533868804879095337167324841, 5041, 63796869029934340517056839843967531470121, 8231680416197514536418991472640001, 8683326460573880235220148944896000000, 7, 13816617655160187440707346525735420229487296, 13806311100384525531159262837932052510831942, 35785793823272769866744369856305923504, 13837892309587961318877927944239709147209657, 74147918646565461539578283588321280000000, 17909873105408035581558640983022402552, 13837874441881218874523995853965044173340102, 13763788902228042377168684148615491865993905, 42549308855525978602159821438320640000000, 10341839515685372987824689212030976000000, 42522214602171609402423523888512976358526, 13827532067359571186886718116379565192275326, 52846671036953535327716685781926592937527, 21292564300868412847922725634035136681647, 42540116261258089302622641352889986262711, 8231680416171662519680106496000000, 121, 6227020801, 35785793822982320102741649653760000000, 362881, 1307674368001, 63788177489477068112400105842281339197366, 355687428096001, 42549317087217283669175989153746368681646, 13785009852757230033159491794719081972137641, 13827541293923674491562216889706542561134062, 52855362577410953671667306425691525621344, 39916801, 52864589124022314529976885344596048041646, 74112132852742479219475663940769298601647, 42540124475265902997293397166113772298881], 'label': '15944266600786427904000.a.232560._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035651
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [31634386831528995835927821782561049993905, 63770301568906533868804879095337167324841, 63778967910173321846643197966887373340102, 17918104785856822480501137589228298881, 5041, 21265444848470310053376198337691973487296, 42513531293394316860283290835078592681647, 74147901679438375636324812014820488275326, 10368941983047781453544227451624816640001, 31625720490082597998712506051018545923504, 8691540457466064418335919964160000000, 11147055948108179881936358526, 63796877783278714345213909460057051209657, 10341839515685372987824689212030976000000, 35794025503398491765261329760256000007, 74112115885401228744197536383432161134062, 52846671036953535327716685781926592937527, 42540116261258089302622641352889986262711, 8231680416171662519680106496000000, 121, 6227020801, 121645100408832001, 362881, 1307674368001, 42549317087206410285032384449413120000001, 31625703522751945943120914601758750831942, 63788177489477068112400105842281339197366, 355687428096001, 31589934696259325228845761681162240000000, 52891140139530935418321990970245120000000, 63806087362571393592917627472572971470121, 52855362577410953671667306425691525621344, 44469120283556200337961798598656000000, 39916801, 10351049095011540963864215086302708137641, 31589926482273321939965081002556398402552, 31598618022719899109132194774380624041646], 'label': '15944266600786427904000.a.232560._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035652
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28281843902103653607835418492428935809774641, 42045623544336665528531412595913943153490432, 51212587278385214760, 13763788902219189726305442937012155418368016, 44477334280448384521077569617920000000, 6266937607, 28271537322120117365266047121725885962832719, 8683326460573880235220148944896000000, 7, 10377625309508355307927430861684736000000, 10351057848333314933138200800618958007056, 28281843885127470579855298300688293941475913, 8691540457853304076160077070164646423, 42035254610585320747597205994439901224279687, 1313901388921, 42035263837131942981893667304590208377211567, 28271510737152242688417142291344850944000000, 28271510745914428824213186928298968861930031, 13774104132089665299070800031296696996336310, 25903229683158464681647, 40279680, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 13774112832392286284266160576615940096000000, 367920, 15511210043330985984000001, 42045587758542853419595453336966520904288121, 42045596985107170904354135597060272447550760, 121646408123121961, 26593199565981915975552378272421596039, 28281843902103653623346628414100853306001967, 8683326460573907208805069306459107262, 28281825983999172316509911152991490849365470], 'label': '15944266600786427904000.a.232560._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035653
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [10333147966386160440876816669317049093415, 8231691320578226211046411712681647, 10341831548986434278226410362626176231617, 31598694690270555665669163751206423537966, 10341831402629155452466541865622695436776, 31598601046547759998303769105020401968944, 7, 31589917720076313245504051988996516802686, 122002101778601640, 51212944273488041641, 8691549299228166222301518332620322328, 10341831284004956816162169531924480000000, 31598592823709105820380834255094654114895, 31589917793283005814071239227347793546534, 1313941673640, 8700320947791432468361594617704510641, 8231691305067016167715425728681646, 8683317618811886495518194401280000001, 31589909506090309768915503598347803114302, 10341839515696277692357293673302449262712, 31598601037706013515774110481375725528728, 5160, 121, 40284840, 25852016738884976640001, 21265571904623681166862981931742029573176, 357001369769641, 21256778515887192521559564292516909476607, 21265453080150741736248637838712179071009, 6267305641, 368041, 21256761539693260160620380232862481756743, 31589917811565433214265882258827975907977, 31589917720076297760198651767666353057495, 8700293835360886634264705263272432431, 31589917957911838196215275447701039834160, 8691559044410779259626476622433265862, 21265453080161630579849467063339996110737, 21265453071308980282136333661837011951695, 8841762019642931637702080681641, 10888869450418352160768000001], 'label': '15944266600786427904000.a.5814._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5814.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5814._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035654
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [51212587278385214760, 42045623544336665528531412595913943153490432, 8691540468354933871059879946702007056, 44477334280448384521077569617920000000, 13763761799742996429255979196614828104288121, 6266937607, 8683326460573880235220148944896000000, 28271501527581802644495566637335244153211567, 7, 10359749379938145645627160500669962832719, 42045587758542842530725951948975563393774641, 10359724190051853982239684501787425365470, 8691540457853304076160077070164646423, 1313901388921, 28271510745914428824213186928298968861930031, 25903229683158464681647, 42035290404601959799773408463900832794368016, 40279680, 10377625300666608825397772238127104000000, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 28271528630049176763899016752085270568279687, 13774112832392286284266160576615940096000000, 28281861794991723336975878022899957760000000, 367920, 15511210043330985984000001, 42045596985107170904354135597060272447550760, 42035281730037696235073469046053075621596039, 121646408123121961, 10333147966386144955626350719885365475913, 42045587758542842546237161870647480890001967, 8683326460573907208805069306459107262, 28281870453110343083369325398198497956336310], 'label': '15944266600786427904000.a.232560._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035655
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [51212587278385214760, 42045623544336665528531412595913943153490432, 8691540468354933871059879946702007056, 42045579083456926751650369239615451812336310, 44477334280448384521077569617920000000, 13763761799742996429255979196614828104288121, 6266937607, 8683326460573880235220148944896000000, 28271501527581802644495566637335244153211567, 7, 42045587758542842530725951948975563393774641, 10359724190051853982239684501787425365470, 8691540457853304076160077070164646423, 8841777504949745285529600000000, 1313901388921, 28271510745914428824213186928298968861930031, 25903229683158464681647, 40279680, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 44477343122210404220478906523701475913, 35785802664759825105493298810378832719, 28271528630049176763899016752085270568279687, 13774112832392286284266160576615940096000000, 28281861794991723336975878022899957760000000, 367920, 15511210043330985984000001, 42045596985107170904354135597060272447550760, 42035281730037696235073469046053075621596039, 121646408123121961, 28271510745905587062219447226344338458368016, 42045587758542842546237161870647480890001967, 8683326460573907208805069306459107262], 'label': '15944266600786427904000.a.232560._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035656
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [51212587278385214760, 13774094947718224351690544502691934527550760, 42045579083456926751650369239615451812336310, 44477334280448384521077569617920000000, 6266937607, 28271537322120117365266047121725885962832719, 8683326460573880235220148944896000000, 7, 10377625309508355307927430861684736000000, 8708525482271549595833930630941930031, 10351057848333314933138200800618958007056, 28281843885127470579855298300688293941475913, 10359724190051853982239684501787425365470, 13763779675663736603373482421572272168279687, 8691540457853304076160077070164646423, 1313901388921, 28271510737152242688417142291344850944000000, 25903229683158464681647, 42035290404601959799773408463900832794368016, 40279680, 10341848269029762327191684281389626001967, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 13774112832392286284266160576615940096000000, 367920, 13763761799742996429230076210221870457211567, 15511210043330985984000001, 121646408123121961, 13774122041971578979050926472934353009490432, 26593199565981915975552378272421596039, 8683326460573907208805069306459107262, 13774104132098495333294790832088014920288121, 10341848269029746815981762609472129774641], 'label': '15944266600786427904000.a.232560._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035657
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [8841761993739701954543616000001, 13763753099449206284895688058377866992899625, 13763761782775655178780701310821715392681647, 5041, 8691549299243595271310888652224681647, 121, 355687428096001, 7, 10341839515696277394388380578336192681647, 8691549310132464721729240812992681646, 39916801, 362881, 26601422393762735550312790807474181047, 1307674368001, 13763753099449217205974344814441560802743687, 15511210043330985984000001, 6227020801, 26576223394649387961697628255684023686, 121645100408832001, 25852016738884976640001, 51090942171709440001, 8222838654177922817725562880000001], 'label': '15944266600786427904000.a.232560._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035658
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28281843902103653607835418492428935809774641, 42045623544336665528531412595913943153490432, 51212587278385214760, 42045579083456926751650369239615451812336310, 44477334280448384521077569617920000000, 6266937607, 8683326460573880235220148944896000000, 7, 10377625309508355307927430861684736000000, 10351057848333314933138200800618958007056, 8691540457853304076160077070164646423, 42035254610585320747597205994439901224279687, 8841777504949745285529600000000, 1313901388921, 42035263837131942981893667304590208377211567, 28271510745914428824213186928298968861930031, 25903229683158464681647, 42035290404601959799773408463900832794368016, 40279680, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 35785802664759825105493298810378832719, 13774112832392286284266160576615940096000000, 367920, 15511210043330985984000001, 42045587758542853419595453336966520904288121, 42045596985107170904354135597060272447550760, 121646408123121961, 10333147966386144955626350719885365475913, 26593199565981915975552378272421596039, 28281843902103653623346628414100853306001967, 8683326460573907208805069306459107262, 28281825983999172316509911152991490849365470], 'label': '15944266600786427904000.a.232560._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035659
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [51212587278385214760, 42045579083456926751650369239615451812336310, 44477334280448384521077569617920000000, 6266937607, 8683326460573880235220148944896000000, 7, 42045596993330009543020848371454849343550760, 10377625309508355307927430861684736000000, 10333147975227922460576096005414965475913, 10351057848333314933138200800618958007056, 28271510754137267462879899702693545757930031, 8691540457853304076160077070164646423, 1313901388921, 25903229683158464681647, 42035290404601959799773408463900832794368016, 28271510737161084434899671949968408576000000, 40279680, 42045614861019046701133707034388555889490432, 10359724181210076477289939216257825365470, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 42035254610576489874472916710837518376279687, 126, 356995102826886, 28281843893880814953657495553044304442001967, 28271501544549143910508065356787940005596039, 44469120283556200390968162225674832719, 13774112832392286284266160576615940096000000, 367920, 15511210043330985984000001, 121646408123121961, 13774104132089653586812261173464457288288121, 42035263845354781651582800165646757241211567, 8683326460573907208805069306459107262, 28281843893880814969168705718034358913774641], 'label': '15944266600786427904000.a.232560._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035660
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28281843902103653607835418492428935809774641, 42045623544336665528531412595913943153490432, 51212587278385214760, 44477334280448384521077569617920000000, 6266937607, 8683326460573880235220148944896000000, 7, 10377625309508355307927430861684736000000, 10333147975227922460576096005414965475913, 10351057848333314933138200800618958007056, 10359724190051853982239684501787425365470, 8691540457853304076160077070164646423, 42035254610585320747597205994439901224279687, 1313901388921, 42035263837131942981893667304590208377211567, 28271510745914428824213186928298968861930031, 25903229683158464681647, 28271510737161084434899671949968408576000000, 40279680, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 28271501544549143910508065356787940005596039, 44469120283556200390968162225674832719, 13774112832392286284266160576615940096000000, 367920, 15511210043330985984000001, 42045596985107170904354135597060272447550760, 121646408123121961, 42045579083448095878526079956013068964336310, 42035281721284340972375702902375445530368016, 28281843902103653623346628414100853306001967, 8683326460573907208805069306459107262, 13774104132098495333294790832088014920288121], 'label': '15944266600786427904000.a.232560._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035662
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28281843902103653607835418492428935809774641, 51212587278385214760, 8691540468354933871059879946702007056, 42045579083456926751650369239615451812336310, 44477334280448384521077569617920000000, 13763761799742996429255979196614828104288121, 6266937607, 8683326460573880235220148944896000000, 7, 10359749379938145645627160500669962832719, 42035254618799295055459566020296722205930031, 28281843902103653623320776397717661809490432, 10359724190051853982239684501787425365470, 8691540457853304076160077070164646423, 42035254610585320747597205994439901224279687, 28281834675539347042968555525896220991550760, 1313901388921, 42035263837131942981893667304590208377211567, 25903229683158464681647, 28271510737161084434899671949968408576000000, 10377625300666608825397772238127104000000, 40279680, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 28271501544549143910508065356787940005596039, 13774112832392286284266160576615940096000000, 367920, 15511210043330985984000001, 121646408123121961, 28271510745905587062219447226344338458368016, 10333147966386144955626350719885365475913, 28281843902103653623346628414100853306001967, 8683326460573907208805069306459107262], 'label': '15944266600786427904000.a.232560._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035663
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28281843902103653607835418492428935809774641, 51212587278385214760, 8691540468354933871059879946702007056, 44477334280448384521077569617920000000, 13763761799742996429255979196614828104288121, 6266937607, 8683326460573880235220148944896000000, 7, 42035254618799295055459566020296722205930031, 28281843902103653623320776397717661809490432, 10359724190051853982239684501787425365470, 8691540457853304076160077070164646423, 42035254610585320747597205994439901224279687, 28281834675539347042968555525896220991550760, 8841777504949745285529600000000, 1313901388921, 42035263837131942981893667304590208377211567, 25903229683158464681647, 42035290404601959799773408463900832794368016, 28271510737161084434899671949968408576000000, 40279680, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 44477343122210404220478906523701475913, 35785802664759825105493298810378832719, 28271501544549143910508065356787940005596039, 13774112832392286284266160576615940096000000, 367920, 15511210043330985984000001, 121646408123121961, 28281843902103653623346628414100853306001967, 8683326460573907208805069306459107262, 28281870453110343083369325398198497956336310], 'label': '15944266600786427904000.a.232560._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035664
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 13795351785916615601981648745332108823537967, 7, 13795351811097354872412509214850167629573176, 13795351692264051059831753692062278125891608, 122002101778601640, 51212944273488041641, 13763761774543963858202475099775303680000000, 10341831284004956816162169531924480000000, 13785009861053241907200384169470726993546534, 1313941673640, 13785009852766049211155228433841727003114302, 13774086239457712668707710473749127296231617, 13774086239192731206756856398250219449093414, 8231691305067016167715425728681646, 16976216549000138746510861992432425, 13785009852766038306476599961813764881756737, 8231680416279726782968243912226328, 13774086247424422512121841357059803569262712, 31589926482273337451226215630040109476606, 5160, 121, 40284840, 13785009860980035214631816982232375716802686, 25852016738884976640001, 13785009860980035199146511582011045553057495, 357001369769641, 13774086239311355389881950605252123815436776, 21265444857322960890714182917571454114894, 21265453080150741736248637838712179071009, 6267305641, 368041, 13785009861217870739582528205691080239834160, 21265453080161615068637117767490974948144, 31589917811565433214265882258827975907977, 21265453080161630579849467063339996110737, 8241436487762214526634381921265862, 21265453071308980282136333661837011951695, 8841762019642931637702080681641, 17003328979545972843400216424510640, 10888869450418352160768000001], 'label': '15944266600786427904000.a.5814._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5814.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5814._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035665
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42045623544336665528531412595913943153490432, 51212587278385214760, 8691540468354933871059879946702007056, 44477334280448384521077569617920000000, 6266937607, 8683326460573880235220148944896000000, 28271501527581802644495566637335244153211567, 7, 10359749379938145645627160500669962832719, 42045587758542842530725951948975563393774641, 8691540457853304076160077070164646423, 1313901388921, 28271510745914428824213186928298968861930031, 25903229683158464681647, 42035290404601959799773408463900832794368016, 28271510737161084434899671949968408576000000, 40279680, 10377625300666608825397772238127104000000, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 28271528630049176763899016752085270568279687, 28271501544549143910508065356787940005596039, 13774112832392286284266160576615940096000000, 367920, 15511210043330985984000001, 42045596985107170904354135597060272447550760, 121646408123121961, 10333147966386144955626350719885365475913, 42045587758542842546237161870647480890001967, 8683326460573907208805069306459107262, 13774104132098495333294790832088014920288121, 28281870453110343083369325398198497956336310, 25199315326170437012639798049365470], 'label': '15944266600786427904000.a.232560._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035666
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42045623544336665528531412595913943153490432, 51212587278385214760, 8691540468354933871059879946702007056, 42045579083456926751650369239615451812336310, 44477334280448384521077569617920000000, 6266937607, 8683326460573880235220148944896000000, 28271501527581802644495566637335244153211567, 7, 42045587758542842530725951948975563393774641, 8691540457853304076160077070164646423, 8841777504949745285529600000000, 1313901388921, 28271510745914428824213186928298968861930031, 25903229683158464681647, 28271510737161084434899671949968408576000000, 40279680, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 44477343122210404220478906523701475913, 35785802664759825105493298810378832719, 28271528630049176763899016752085270568279687, 28271501544549143910508065356787940005596039, 13774112832392286284266160576615940096000000, 367920, 15511210043330985984000001, 42045596985107170904354135597060272447550760, 121646408123121961, 28271510745905587062219447226344338458368016, 42045587758542842546237161870647480890001967, 8683326460573907208805069306459107262, 13774104132098495333294790832088014920288121, 25199315326170437012639798049365470], 'label': '15944266600786427904000.a.232560._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035667
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28281843902103653607835418492428935809774641, 51212587278385214760, 8691540468354933871059879946702007056, 42045579083456926751650369239615451812336310, 44477334280448384521077569617920000000, 6266937607, 8683326460573880235220148944896000000, 7, 10359749379938145645627160500669962832719, 42035254618799295055459566020296722205930031, 28281843902103653623320776397717661809490432, 8691540457853304076160077070164646423, 42035254610585320747597205994439901224279687, 28281834675539347042968555525896220991550760, 1313901388921, 42035263837131942981893667304590208377211567, 25903229683158464681647, 10377625300666608825397772238127104000000, 40279680, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 13774112832392286284266160576615940096000000, 28281861794991723336975878022899957760000000, 367920, 15511210043330985984000001, 42035281730037696235073469046053075621596039, 121646408123121961, 28271510745905587062219447226344338458368016, 10333147966386144955626350719885365475913, 28281843902103653623346628414100853306001967, 8683326460573907208805069306459107262, 13774104132098495333294790832088014920288121, 25199315326170437012639798049365470], 'label': '15944266600786427904000.a.232560._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035668
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28281843902103653607835418492428935809774641, 51212587278385214760, 8691540468354933871059879946702007056, 44477334280448384521077569617920000000, 6266937607, 8683326460573880235220148944896000000, 7, 42035254618799295055459566020296722205930031, 28281843902103653623320776397717661809490432, 8691540457853304076160077070164646423, 42035254610585320747597205994439901224279687, 28281834675539347042968555525896220991550760, 8841777504949745285529600000000, 1313901388921, 42035263837131942981893667304590208377211567, 25903229683158464681647, 42035290404601959799773408463900832794368016, 40279680, 5160, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 356995102826886, 44477343122210404220478906523701475913, 35785802664759825105493298810378832719, 13774112832392286284266160576615940096000000, 28281861794991723336975878022899957760000000, 367920, 15511210043330985984000001, 42035281730037696235073469046053075621596039, 121646408123121961, 28281843902103653623346628414100853306001967, 8683326460573907208805069306459107262, 13774104132098495333294790832088014920288121, 28281870453110343083369325398198497956336310, 25199315326170437012639798049365470], 'label': '15944266600786427904000.a.232560._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '232560.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '232560._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035669
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [5041, 42522214611002224366118225699918812080592, 10341839506843610994084987257487360000001, 7, 42522214602171351241778880060059331029167, 21274662650612532348454299218524862349785, 21274662659454309853403405388124614374406, 42522214602160462346475415708631040000000, 10341839506854499863535527256062478138176, 42522214611002224340215117663174656000001, 21274662650612547859714403072190948302640, 31616485711778834986692498603245568000001, 31616485711767961628452123582070784000001, 10341839506854500187406132337516841120006, 8841762019642931637695856558016, 27157647018117762239905600951806, 10341839506843611505663713877802119632126, 31616485711767946117242201896185208832001, 42522214602171351215977047005065430307241, 31616485711767946143680683224912216785407, 10341839506854547692121800186842218997471, 10341839506854515400650215592504175686406, 42522214602160462346526506650802749440001, 121, 31616485720620612491693334840637297495985, 6227020801, 42522214602160462372327432447516016640001, 362881, 1307674368001, 42522214602160477883588691382766743230721, 355687428096001, 10341839506899700824557937042729031176670, 10341839515696277394390429738258547666144, 52846671036930918716673598412507559275831, 39916801, 52846671036930903205463433080734173815471, 52846671036930903231368078097180278248745, 10341839506843610994085109259589098696838], 'label': '15944266600786427904000.a.248064._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '248064.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '248064._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035670
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [13795369576938123896813933336459454948302640, 13763753091226355935509300726660931881120006, 13763753091226355950722544809915919215686406, 5041, 42522214611002224366118225699918812080592, 7, 42522214602171351241778880060059331029167, 13806275305837347270656194699244077533815471, 13806275305837347270682099344260523638248745, 13795369576946965658807622338775388614374406, 42522214602160462346475415708631040000000, 13763753091226401136146452531366144071176670, 13795369576938123881302673232605788862349785, 42522214611002224340215117663174656000001, 31616485711778834986692498603245568000001, 13763753091226355935185430121579477518138176, 31616485711767961628452123582070784000001, 13763753091226355983014016394510257258997471, 8841762019642931637695856558016, 27157647018117762239905600951806, 31616485711767946117242201896185208832001, 13763753091226345046827558308201217159632126, 42522214602171351215977047005065430307241, 13763753091235197712716285024061673587666144, 31616485711767946143680683224912216785407, 42522214602160462346526506650802749440001, 121, 31616485720620612491693334840637297495985, 6227020801, 42522214602160462372327432447516016640001, 362881, 1307674368001, 13763753091226345046315979703583004138696838, 42522214602160477883588691382766743230721, 355687428096001, 13806275305837347286167404864575850919275831, 13763753091226345046315979581580902400000001, 39916801], 'label': '15944266600786427904000.a.248064._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '248064.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '248064._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035671
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [5041, 10888869450539998575118138296, 7, 13774094930760346304328182331078295360951806, 42522214602171351241778880060059331029167, 42522214602160462346475415708631040000000, 31616485711778850497953754878552548302641, 42522214611002224340215117663174656000001, 31616485711778834986692498603245568000001, 31616485711767961628452123582070784000001, 13774094930733199546503385713918419241120007, 42522214611002224366119762679621237885865, 8841762019642931637695856558016, 13816599762254434203064816588381228183230721, 31616485711767946117242201896185208832001, 10936698036812929354858997465, 42522214602171351215977047005065430307241, 8852666400305442480771227582944, 13774094930733188657310064568838389760000000, 31616485711767946143680683224912216785407, 13816599762263275949547346122698380252080592, 42522214602160462346526506650802749440001, 121, 31616485720620612491693334840637297495985, 6227020801, 122002101738696958, 42522214602160462372327432447516016640001, 10904406565228335016815686407, 362881, 1307674368001, 13785027753876957578664433880443739834253785, 13816599762263275965032653179993409959275825, 355687428096001, 31616485720620612491642757194486214374407, 511578726620314759632127, 39916801, 42522214611002224340215117663175093898671, 56089830472949785241671176664], 'label': '15944266600786427904000.a.248064._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '248064.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '248064._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035672
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [135538274645936092247183965417, 8852666400252180377883106910761, 21274654427762989326931927458045296640001, 5041, 10359732412607768528587734662964194652857, 7, 42513523061703011819228495036368524504839, 31598601129195118027328379264428480261160, 8943197375615137752510687576240, 8852650863620360931513750458743, 42513523061702996282057079788666880000000, 52873255465469002816905112499917400549161, 31598601037705998030630314467828129570249, 31598601046547759998676260331490710743391, 10359732403856376165369155068405872195839, 27157647018117762239905600951806, 31598601055999314218380050148210029297840, 10936698036812929354858997465, 21274654427762989301131001661332029440001, 31598601046547775509886308563901720959008, 21274654436615655701332091116591003579728, 21274654427773878170530329071321088000001, 146549728971115248074868026789041, 21274654427763004812289954050146304000001, 10359732403765991049545968900770845940336, 121, 6227020801, 121645100408832001, 225875535608670600642034786870, 362881, 1307674368001, 8841761993739701954543616000001, 355687428096001, 8852666401215865670872443120408, 82128127852175876120859643099871, 31598601046536886640114485380343124849400, 39916801, 52873255474310764810593601864358917270440, 26224507950072696207065, 8841777505000957876932236160007, 52873255474310764837461676818105059678950], 'label': '15944266600786427904000.a.248064._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '248064.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '248064._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035673
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [135538274645936092247183965417, 8852666400252180377883106910761, 21274654427762989326931927458045296640001, 5041, 42531415967467153816508614606871557270441, 7, 21256761539704164515801321662101789055008, 42513523061703011819228495036368524504839, 21256761539693275646029498122855764849401, 8943197375615137752510687576240, 8852650863620360931513750458743, 42513523061702996282057079788666880000000, 42531415967467153843376689560617699678944, 21256761539704149004591273074003350743385, 27157647018117762239905600951806, 10936698036812929354858997465, 21274654427762989301131001661332029440001, 21274654436615655701332091116591003579728, 21274654427773878170530329071321088000001, 42531415958625391822820125242430040549160, 146549728971115248074868026789041, 21274654427763004812289954050146304000001, 121, 6227020801, 121645100408832001, 225875535608670600642034786870, 362881, 1307674368001, 8841761993739701954543616000001, 355687428096001, 21256761549155703224295062890722669297841, 8852666401215865670872443120408, 82128127852175876120859643099871, 17892896922380055460981287596057844336, 39916801, 26224507950072696207065, 17892897012765171284167810918511832959, 21256761622351507033243392006941120261161, 17892905764157534502747405476834652863, 21256761530862387036545327210340769570248, 8841777505000957876932236160007], 'label': '15944266600786427904000.a.248064._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '248064.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '248064._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035674
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [135538274645936092247183965417, 8852666400252180377883106910761, 13806284507193812200132488196187773957270440, 21274654427762989326931927458045296640001, 42513523070544758275796781743210496000001, 5041, 7, 42513523061703011819228495036368524504839, 8943197375615137752510687576240, 8852650863620360931513750458743, 13785009852848696553349222973587843520261160, 42513523061713885151507498140827648000001, 27157647018117762239905600951806, 21274654427762989301079910719160320000000, 10936698036812929354858997465, 21274654427762989301131001661332029440001, 13785009852775500749540274644471625069297840, 21274654436615655701332091116591003579728, 146549728971115248074868026789041, 13806284507184970438138799706823332440549161, 121, 13785009852757207433352524908791243169570249, 6227020801, 121645100408832001, 225875535608670600642034786870, 13763770984123357811487263749391820912195839, 13806284507193812200159356271141520099678950, 362881, 1307674368001, 15511210043330985984000001, 13785009852766049195320570854654905750743391, 355687428096001, 8852666401215865670872443120408, 82128127852175876120859643099871, 13785009852766038321962009079703758164849400, 39916801, 13763770984132109203850482328986379234652857, 26224507950072696207065, 13785009852766049210831780902887316760959008, 13763770984123267426371440563224185885940336, 8841777505000957876932236160007], 'label': '15944266600786427904000.a.248064._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '248064.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '248064._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035675
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [13774094922510350018643351916444620729093415, 8231691320578226211046411712681647, 13785018637950229457051982093994585623537966, 10341831548986434278226410362626176231617, 10341831402629155452466541865622695436776, 7, 31589917720076313245504051988996516802686, 122002101778601640, 51212944273488041641, 10341831284004956816162169531924480000000, 13795343000732424451406266613151288081756743, 31589917793283005814071239227347793546534, 1313941673640, 13785018536083668007206693764498473854114895, 8231691305067016167715425728681646, 31589909506090309768915503598347803114302, 13763753099458025462595706364904833740322328, 10341839515696277692357293673302449262712, 13785018544297664914902087040724754925528728, 5160, 121, 40284840, 25852016738884976640001, 21265571904623681166862981931742029573176, 357001369769641, 13785018544306506661384616699348399601968944, 21265453080150741736248637838712179071009, 13763753108229674025861952424981118824510641, 6267305641, 13795343017708618383767205797210942509476607, 368041, 13763753091226345046315979581580902400000001, 13763753108202561595316118328091764392432431, 31589917720076297760198651767666353057495, 31589917811565433214265882258827975907977, 31589917957911838196215275447701039834160, 21265453080161630579849467063339996110737, 13763753099467770645208743689863123553265862, 21265453071308980282136333661837011951695, 8841762019642931637702080681641, 10888869450418352160768000001], 'label': '15944266600786427904000.a.5814._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '5814.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '5814._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035676
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 62016, 'diagramx': None, 'generators': [13774112823638952814844567316243866594652863, 135538274645936092247183965417, 8852666400252180377883106910761, 21274654427762989326931927458045296640001, 42513523070544758275796781743210496000001, 5041, 7, 13774112823630201422481348736649308271832959, 13795351692282344360534359631729112429297841, 42513523061703011819228495036368524504839, 8943197375615137752510687576240, 8852650863620360931513750458743, 13816626346700655811153441258399007459678944, 42513523061713885151507498140827648000001, 13816626346691814049132884694080819800549160, 27157647018117762239905600951806, 21274654427762989301079910719160320000000, 10936698036812929354858997465, 13795351692272881932956094066961245524849401, 21274654427762989301131001661332029440001, 21274654436615655701332091116591003579728, 146549728971115248074868026789041, 121, 13774112823630111037365525550125985817844336, 13795351692355540164343307960845330880261161, 6227020801, 121645100408832001, 225875535608670600642034786870, 362881, 1307674368001, 15511210043330985984000001, 13795351692272892806314655841912393110743385, 355687428096001, 13795351692272892821825865890500491549055008, 8852666401215865670872443120408, 82128127852175876120859643099871, 13816626346700655811126573183445261317270441, 39916801, 26224507950072696207065, 13795351692264051044346609896048730529570248, 8841777505000957876932236160007], 'label': '15944266600786427904000.a.248064._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '248064.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '248064._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035678
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '271320.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': 271320, 'diagramx': None, 'generators': [5041, 51091297859137536000, 8683326460573880235220148944896000000, 7, 13763753091226355983013960181270092428380841, 13774086247415580749830081651822837955375423, 10333147975227906949258370386652721501953, 13763753091235197712716231883979120961214374, 10333147975227906923457444589925993816105, 155206262235626440150740692040707305916217721, 15511210043686673412096000, 56628075097181769138577709424278318479109160, 126934751489711401565323639711279515614193967, 13763753099458025462513494239646301955875273, 13806302400090723691318391705396586221573166, 10333147975227906923406353292066816000000, 8683326460589417455675700319248522584, 39921847, 121, 121645100408832001, 6227020801, 25852016738884976640006, 8852650863190120306704384000000, 362881, 1307674368001, 13774086247424411607741129294498697370092920, 13774094930742041308173254689145094144000000, 8683326460573906088265403428422921641, 42045596968140428542913726475908748150895927, 355687428096001, 8222849543047373236077723648000000, 10333147975227922434667609210324961454136, 10888895353526033223721385647, 13774086239201572968776448116589248696113942, 10341839506843610994086268845253477136566], 'label': '15944266600786427904000.a.271320.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '271320.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '271320.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035679
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 69768, 'diagramx': None, 'generators': [8231713889417046458719683591069784, 70370544850653890621712424965931985928802249, 84814487208391279422570597576982242969154135, 5041, 8683326460573880235220148944896000000, 7, 126913503420251524141740810834468552391962545, 126913494745156891250292013169549449079178118, 98578240307849304900569500684842736316448022, 70370544858876740149222738190710617577106215, 84824820364580515110547637336725124559009857, 56606800450976855692324053840223366088448425, 70370553533971509433598920484127695228752991, 51090942171709440001, 13763753091235186808309719283535446016000000, 113160083485205551244234710268485286934019630, 13774094930733188657310064568838389760000000, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 25852016738884976640001, 121645100408832001, 126923836568217899397826931713610130296702137, 362881, 15511210043330985984000001, 70380886690169586883543796965819292695965785, 8841761993739701954543616000001, 355687428096001, 113160083476982712589491307779792568320000000, 28292785391580005662207063249676510930774105, 13763761782775655196126387846425088752594231, 8864378578879803644995249925047, 10341839506843626531147169330955541873840, 126923827884900280601425792679424883756250449, 39916801, 56606791767659236864926348278698052198800848, 126923827893123119255629567513872613070083198, 28292794066674785819941439047102793164699871, 98588564764275233579434750281848055117931577, 10888869450418352160768000001], 'label': '15944266600786427904000.a.279072._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '279072.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '279072._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035680
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 69768, 'diagramx': None, 'generators': [13774094930733188657310064568838389760000000, 98642037677942038677063930099011884919178118, 70370553533971509433598920484127695228752991, 7, 10888869450418352160768000001, 121, 56564242458794858235435095229270589440000001, 42558000404836111066881428678339528448425, 39916801, 121645100408832001, 113138844616571622125557703846802093519009857, 6227020801, 8231680416171662519680106496000000, 5041, 126923827893123119255629567513872613070083198, 51090942171709440001, 8683326460573880235220148944896000000, 126923836568217899397826931713610130296702137, 25852016738884976640001, 56574584290078863207788319580875982101873840, 56564242450580883959836052215190021809925047, 113128511460382386437580664087059211929154135, 98642046353036671568512727763930988231962545, 126902589016266340594444816791925024077931577, 13806302400081871040455252554386959368802249, 355687428096001, 8231713889417046458719683591069784, 10904406563691366305216681647, 13763761782775655196126387846425088752594231, 56606791767659236864926348278698052198800848, 28271510737152242672905983338957350610774105, 113160083476982712589491307779792568320000000, 15511210043330985984000001, 98578240307849304900569500684842736316448022, 70370544858876740149222738190710617577106215, 13816644239597567302286624554274266135965785, 28271519412247022830640359136383632844699871, 13763753091235186808309719283535446016000000, 362881, 84888626417990698671006627197947722774019630, 98652370817685428028197709608887319596250449], 'label': '15944266600786427904000.a.279072._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '279072.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '279072._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035681
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 69768, 'diagramx': None, 'generators': [8231713889417046458719683591069784, 28292785383357167008054943528908391884699865, 10341839515685388524886871285499157873841, 5041, 8683326460573880235220148944896000000, 7, 84814487216614118076748520395063493277250135, 70370544858876740149222738190710617577106215, 13806311083399489852341748072582668668752991, 98652370825908424821993596750349408119178238, 51090942171709440001, 13763753091235186808309719283535446016000000, 113138835925039995548128837210344121677931583, 13774094930733188657310064568838389760000000, 22616585140101690451633925046, 13806311083399489852341748072581360648439369, 42549317087217299180385910483938248448431, 70370553542203200738614130314481775722986585, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 25852016738884976640001, 126923836568217899397826931713610130296702137, 113149750329025179095424831252887649991967585, 362881, 15511210043330985984000001, 84878293270024312526076960546610199574019624, 355687428096001, 56564242450572019581257172411545026560000000, 113160083476982712589491307779792568320000000, 84824820356357676456369714518999561718926657, 13763761782775655196126387846425088752594231, 98642037669719041883268042957549796396250448, 126892264559840411915579567194919705276448022, 28271510737161084434899723040911894226774111, 39916801, 56606791767659236864926348278698052198800848, 126923827893123119255629567513872613070083198, 10888869450418352160768000001], 'label': '15944266600786427904000.a.279072._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '279072.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '279072._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035682
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '302328.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': 75582, 'diagramx': None, 'generators': [13848869644036681788480875123450395276375806, 13763761774552805635707475936360000530591358, 5046, 21301255868450084950797928173936516439807, 7, 13774086239192742080140999880959337655363136, 106283832889876678623262502902358047932846, 10333147975227906923457957181466299288624, 15537062060069870960640000, 8841762019591718693428592640000, 122000787836928000, 13763753099449194604874613951931797240944040, 13763753099458036366894154580051208310774705, 13774094930742030419329707378474071009721623, 42035281780966290519921007691893394707548846, 8222838654203774956466543407892815, 8683326460589417297280582918950937623, 51212587272158188801, 8222838654203774834464447856640000, 1307714284800, 13837874441917828060173423802969589686272126, 13763753099449183700493953491361655733149790, 13774094930742041323710316749214965104640000, 10888895302435091045744640000, 197932066354924296502117125822015500692300921, 6227020801, 126, 13785045663750052097830615081252513062912126, 10333147975238811304066814975213568000000, 13763761782775644289911306983665590507684607, 10333156189235688002891904527878746059815, 13774086247424422511797969214288572249915854, 362886, 355687428096001, 10341839515685372987875902154996791760056, 10333156198066576612590427291581496566479, 13774086247415580734293019468997463149757417, 39916801, 95431807889240318006481833629706843909166, 8683317618811912347534933286256640000], 'label': '15944266600786427904000.a.302328.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '302328.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '302328.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035683
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [121645100409200047, 10904406563691010611521280121, 26601422404636067938792719511594192990, 8691540457466090321565247428929280121, 13774094922519202669532445022431580201420375, 25852138383985385472000, 7, 13763753091235197697205021718983486865540065, 355693695033720, 13774148618177278408999087186030995055545743, 13774130725298660218677651086876998822375559, 5167, 13774139926124608508450304982350244863133577, 26584464514908764413871625852925016377, 8222838669715036090384013633280121, 6267305527, 13774148609451069097867224905906808105359688, 13763753125178722006682947565451733510348488, 13763806812110588434991875432188096204072665, 10341831284004972327423304162083544045750, 15511210164976092619852927, 10341839515696277368485150895177728000000, 126, 8852650863190120306704384000000, 1307674368001, 51212942965813305720, 13774094930742041308173254689145094144000000, 8683317618812344071242108806525189073, 13763771018093926783008542815872210056661823, 44494328756792578513845917678859642262, 13774122041989883169054656865149489512875472, 10333156189224799107589469438348122976935, 10333181927593962884983687556196393947095, 13763815495428207246878743441604763469649256, 363007, 13859166989205904228317567356031199854524161, 10341839515696277368485151252173218774105, 39916806, 21319131770896459010597239321214130890758], 'label': '15944266600786427904000.a.325584._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035684
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [10341831284015845685663679183258461925816, 121645100409200047, 10904406563691010611521280121, 10333156198066561235192683808904775920425, 44511295499155208217916268075005015801, 8691540457466090321565247428929280121, 25852138383985385472000, 7, 8691540468354933868876288188647301817, 8222838686521094850825396950841720, 10333147975238795792907984606742368677465, 355693695033720, 10333156189224799133599881640475778007270, 52873264218813361133852020547485050295801, 5167, 8683326471478260946898941489976440751, 6267305527, 8222838669715036090384013633280121, 8231691305041164799528668524219214, 8222849543073225253173663730486625, 15511210164976092619852927, 10341839515696277368485150895177728000000, 126, 8852650863190120306704384000000, 1307674368001, 51212942965813305720, 8841762019591718693428593008350, 363007, 8222849543073276465403887320733942, 39916806, 13785009852766038338714115926501189889372841, 10333156198077465507892746772987752610271, 8231680431682923653953270456400766], 'label': '15944266600786427904000.a.325584._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035827
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13763753091226367678438232834283396744284721, 10341848269052346623213848400275154750767, 13763761774543963858202475099775303680000000, 121, 7, 10888869450418352160768000001, 5160, 40284847, 13774086239192731191245646232918425600000000, 8231691320578226211046411712681647, 15511210043330985984000001, 6227020801, 8231691320578174998102138224640001, 368041, 1313941673647, 8683317618811886495518194401280000001, 357001369769641, 122002101778601647, 25852016738884976640001, 8841762019591718693428592640000, 13763753091226378519587164568060985497091625], 'label': '15944266600786427904000.a.697680._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035685
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [121645100409200047, 44511295499155208217916268075005015801, 8691540457466090321565247428929280121, 25852138383985385472000, 7, 13774086239201572953239386056889032935301817, 10333156189224799133599881640475778007270, 355693695033720, 13774094922519202669532445144077982017280121, 5167, 6267305527, 13763753091226345061827189624911888384000000, 13763761782766802512380449130463381344677465, 8222849543073225253173663730486625, 13774094930742030434840917543451384129280121, 15511210164976092619852927, 13774094922519202686338503904519365334841720, 126, 8852650863190120306704384000000, 13774094922510350003132193612609228140219214, 13774094930733199546205367003929435505008350, 1307674368001, 51212942965813305720, 13763753099458025462487693192560182109925816, 13806284532392822977935881533924408698295801, 13774086247415569860934830311084372792440751, 363007, 8222849543073276465403887320733942, 13763761774543974747205789030918739527920425, 39916806, 13785009852766038338714115926501189889372841, 10333156198077465507892746772987752610271, 8231680431682923653953270456400766], 'label': '15944266600786427904000.a.325584._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035686
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [10904406512478423339403371000, 355687468017846, 6227025847, 13774094930733188657310064568838389760000000, 10888869450540352954831948921, 7, 25903108036750381113601, 126, 25852016738884976645166, 5167, 39916920, 8691540457466064418335919964160000000, 8841777504949745641217068017846, 8231680464026100809708080257264304, 27157647018117761884211945477040, 368041, 8222838654177922817725562880000001, 121645106675769601, 10904380660462038834220017846, 52846679250927795389646548851752960000000, 10341831284004956816162169531924480000000, 98620771698600055928348457728779223040000000, 70349260969670651909620448298490920960000000], 'label': '15944266600786427904000.a.7752._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7752.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7752._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035687
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [121645100409200047, 44511295499155208217916268075005015801, 8691540457466090321565247428929280121, 25852138383985385472000, 7, 13774086239201572953239386056889032935301817, 10333156189224799133599881640475778007270, 355693695033720, 13774094922519202669532445144077982017280121, 5167, 6267305527, 13763753091226345061827189624911888384000000, 13763761782766802512380449130463381344677465, 8222849543073225253173663730486625, 31598601037706030267932048575392001372841, 13774094930742030434840917543451384129280121, 15511210164976092619852927, 13774094922519202686338503904519365334841720, 126, 8852650863190120306704384000000, 13774094922510350003132193612609228140219214, 13774094930733199546205367003929435505008350, 1307674368001, 51212942965813305720, 13763753099458025462487693192560182109925816, 13806284532392822977935881533924408698295801, 13774086247415569860934830311084372792440751, 363007, 8222849543073276465403887320733942, 13763761774543974747205789030918739527920425, 39916806, 10333156198077465507892746772987752610271, 8231680431682923653953270456400766], 'label': '15944266600786427904000.a.325584._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035688
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [10341831284015845685663679183258461925816, 121645100409200047, 10904406563691010611521280121, 10333156198066561235192683808904775920425, 44511295499155208217916268075005015801, 8691540457466090321565247428929280121, 25852138383985385472000, 7, 8691540468354933868876288188647301817, 8222838686521094850825396950841720, 10333147975238795792907984606742368677465, 355693695033720, 10333156189224799133599881640475778007270, 52873264218813361133852020547485050295801, 5167, 8683326471478260946898941489976440751, 6267305527, 8222838669715036090384013633280121, 8231691305041164799528668524219214, 8222849543073225253173663730486625, 31598601037706030267932048575392001372841, 15511210164976092619852927, 10341839515696277368485150895177728000000, 126, 8852650863190120306704384000000, 1307674368001, 51212942965813305720, 8841762019591718693428593008350, 363007, 8222849543073276465403887320733942, 39916806, 10333156198077465507892746772987752610271, 8231680431682923653953270456400766], 'label': '15944266600786427904000.a.325584._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035689
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [121645100409200047, 10341831292857607705255519166093633280121, 44511295499155208217916268075005015801, 13774094922519191765151733470163310578486625, 8691540457466090321565247428929280121, 25852138383985385472000, 7, 13774094922510360907512853303738151608400766, 10333156189224799133599881640475778007270, 355693695033720, 5167, 13816626355445158422961041645459373434295801, 6267305527, 10341831284004972327424074359311724219214, 10333156189224799107640686172484408440751, 15511210164976092619852927, 13774094922510360907512853304095146845925816, 126, 8852650863190120306704384000000, 10341839506854515400597465679519089008350, 13774094922519191765151784682393534168733942, 1307674368001, 51212942965813305720, 13774094930742041308173254689145094144000000, 13774086247424411623062382308720793159920425, 8222849543047373236077723648000000, 363007, 10341831292857640022473231996291225401720, 39916806, 13774086239201583857620097609518630752677465, 10333147975227922434616518639116519301817, 21256761539693292423988361659172466012841, 10333156198077465507892746772987752610271], 'label': '15944266600786427904000.a.325584._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035690
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [121645100409200047, 10341831292857607705255519166093633280121, 44511295499155208217916268075005015801, 13774094922519191765151733470163310578486625, 8691540457466090321565247428929280121, 25852138383985385472000, 7, 13774094922510360907512853303738151608400766, 10333156189224799133599881640475778007270, 355693695033720, 5167, 13816626355445158422961041645459373434295801, 6267305527, 10341831284004972327424074359311724219214, 10333156189224799107640686172484408440751, 31598601037706030267932048575392001372841, 15511210164976092619852927, 13774094922510360907512853304095146845925816, 126, 8852650863190120306704384000000, 10341839506854515400597465679519089008350, 13774094922519191765151784682393534168733942, 1307674368001, 51212942965813305720, 13774094930742041308173254689145094144000000, 13774086247424411623062382308720793159920425, 8222849543047373236077723648000000, 363007, 10341831292857640022473231996291225401720, 39916806, 13774086239201583857620097609518630752677465, 10333147975227922434616518639116519301817, 10333156198077465507892746772987752610271], 'label': '15944266600786427904000.a.325584._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035691
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [13816662149461820059459015992604347154364449, 8683326460573880235220148944896000000, 5046, 7, 141367806011473602657326395123943952751029118, 121645100409194880, 56606764665183032709979169819339798032354560, 56638408245148166172567318236172618222889543, 42088110533359042931931206648959550372694960, 1307674730880, 13774148643403435153801828273326001852490752, 63796894759461742325441667856604743228823, 13774148635171754722144807726698100693997382, 356995102464000, 15537062181714971369472001, 53712670235592136904290246279018493512, 42035245952457870160448653952382726527390647, 6266942760, 28303100680628981450605268801790499426099783, 13763815487214210354720090942646901118033967, 8231680416171662519680106496000000, 62404201851296207634018922803567863465, 53720884232499806445432609393062053800, 126, 25852016738884976640001, 126913494753928381900377094882989351667021440, 8852650863190120306704384000000, 362881, 56606818335669210925576428830550254104739159, 13774094930742041308173254689145094144000000, 10888869450540352954871870640, 51212588579793002880, 10333147966397033799117069689683968000000, 13774094930733199561716628138203974250021712, 84857045752033972413493506210475695850901766, 39916806], 'label': '15944266600786427904000.a.325584._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035692
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [13763753099449183700519754416045390620612432, 8691549310132464721607238711256451257, 8683326460573880235220148944896000000, 5046, 7, 121645100409194880, 1307674730880, 8222849543073276465759574746779945, 13774086247424411607443211865568903418901816, 356995102464000, 26010412220388328968544, 15537062181714971369472001, 6266942760, 13763753091226355950722543151317551485522558, 8231680416171662519680106496000000, 13795343000741875990089229621183041970924927, 8683326460589391445385480724983871216, 126, 25852016738884976640001, 84857045743802281123937750919433358485673641, 8852650863190120306704384000000, 13763753091235186856164050268667093031916927, 362881, 13774094930742041308173254689145094144000000, 51212588579793002880, 10333147966397033799117069689683968000000, 10333147975227922460468413717631431791774, 10341831284004956842014307915909905400728, 28281852560240544070503834252860782299305647, 13774094930733188657310064690483490605095096, 39916806, 8222849543047374128277047382203095, 8222849558666594654170379039901665], 'label': '15944266600786427904000.a.325584._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035693
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [13763753099449183700519754416045390620612432, 8691549310132464721607238711256451257, 8683326460573880235220148944896000000, 5046, 7, 121645100409194880, 1307674730880, 8222849543073276465759574746779945, 13774086247424411607443211865568903418901816, 356995102464000, 28281852560231702308510094429616819435627007, 26010412220388328968544, 15537062181714971369472001, 6266942760, 13763753091226355950722543151317551485522558, 8231680416171662519680106496000000, 13795343000741875990089229621183041970924927, 8683326460589391445385480724983871216, 126, 25852016738884976640001, 84857045743802281123937750919433358485673641, 8852650863190120306704384000000, 13763753091235186856164050268667093031916927, 362881, 13774094930742041308173254689145094144000000, 51212588579793002880, 10333147966397033799117069689683968000000, 10333147975227922460468413717631431791774, 10341831284004956842014307915909905400728, 13774094930733188657310064690483490605095096, 39916806, 8222849543047374128277047382203095, 8222849558666594654170379039901665], 'label': '15944266600786427904000.a.325584._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325584.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325584._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035694
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [8841761993739701954543616000001, 13837892326555291711480323603264043898588038, 8231680431978593595885455716644342, 13806302408304709679121914237484978571019808, 13763753091235197712690379869880685839806679, 121645100408832006, 15537113273014144448681641, 52891148371211351589984510650351616000000, 25852016738884976640006, 13795343017699776606236353065890758475575103, 51090942171709440006, 7, 52891140139541872681782139624495330456630, 13785018561282689704901906390496825779293297, 31598609791039482937418462150000640000000, 13763753091235197712690379872890784065924190, 52891148371459844276262381362064982427825, 5046, 63814770689031967473101874559671352074262, 126, 13785018561273847927396956645566983609008415, 13763753099449217173765138476374340372725344, 355687428096006, 13785018561273837038717620745350511844078702, 13806302408313562329959305225415630932904881, 10904406563691366305216681647, 13785018553051009273812664606480599297341231, 13806311091631170252976297440893730816000000, 39916806, 362886, 21265461824664227011116710852648335109167, 10341839515685372987824689212030976000000, 1307674368006, 8683326460573880235220148944896000000, 8231680416171662519680106496000000, 13774086239201572968750647070656725166507808, 74147918646836505906647017497241204821424, 8683326483190465426291136474097833646, 6227020806], 'label': '15944266600786427904000.a.348840._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035695
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13785018536083679750513555812154237669349431, 51212944273488041641, 6267305641, 8841762019642931637702080681641, 121, 10341831284004956816162169531924480000000, 40284840, 5160, 15511210043330985984000001, 368041, 357001369769641, 31598618013889041521904849239766958448040, 13795351684050076736458183501585144876012806, 7, 25852016738884976640001, 1313941673640, 8231691320578226211046411712681647, 10888869450418352160768000001, 13774086239192731191245646232918425600000000, 8683317618811886495518194401280000001, 122002101778601640], 'label': '15944266600786427904000.a.348840._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035696
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333156189235961648897396856875999888006, 13774086239201595569824577005859190743097607, 6266942646, 13763761774543964002846917065083537375773655, 10341831284005344030024314461925662702063, 8231691305041164150976540751678640, 13774086247415580749830082045033244816506743, 7, 98578258192523377737551578269000622583870783, 121, 13763761782766802512406250058503023700360534, 13763753091235197713147955345963416876566441, 126923863678916942222412557104508829696000000, 10333147975227922460468414119262209601137, 10333156189235703514102069487213319975622, 13763753091226570969626164856385953721591687, 8222838654177922817725562880000001, 121645106636220846, 8841777530852974611692961872641, 355693655121846, 8231691305067016045713404550180049, 8231680416171662519680106496000000, 13774086247415569860934779352333708554362287, 5041, 13763761774552918606789647057737925388684920, 368046, 25852016738884976645040, 10333147975227906923406353292066816000000, 40279801, 10888895353526033217454443001, 13774086239201572953265289164199153262412081, 10904406563691366305216681647, 84814496426202286006744151390313727458129960, 13763761782766813401275700474239802807095334, 51090942171709803001, 8231691305041112938033634943006862, 13763753099449194604874613952287471209458265, 13763761774552816524576875263432602809474633, 8222838654203826047055884543466382, 13763761782775644274374137619455410176000000, 13774094930742063892549137240534137763026231, 13774086247424411607417308752598532096000000], 'label': '15944266600786427904000.a.348840._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035697
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [56543003573184735215985100350825084143170135, 98620771698600055928348457728779223040000000, 98609830200361528642535844276708446235093817, 10904406512478423339403371000, 8841777504949745641217068017846, 7, 28303100638554705961420051776348826621253041, 70349260969670651909620448298490920960000000, 355687468017846, 25903108036750381113601, 27157647018117761884211945477040, 5167, 10341831284004956816162169531924480000000, 98620745122394367402806913847148392660795745, 6227025847, 42088101281613398193356558201139269901676800, 42077759450320653524092537492815007185300065, 8691540457466064418335919964160000000, 28271510728938245780721907532617424765402862, 39916920, 10333156189235703514153160091937591115929, 10904380660462038834220017846, 56585525771350218254539766466362418967454929, 70338337356115332835799634797825903885544655, 10888869450540352954831948921, 13774094930733188657310064568838389760000000, 98620771698600066832729118312862004578473543, 28271492844273624497959696981477585340580486, 56564251116922297142694241939405483681495800, 121645106675769601, 126, 84835735269637170858350387708414394018110017, 52846679250927795389646548851752960000000, 84835761845851712050266920625566645102242270, 42513523061713900662769779549108053894272, 25852016738884976645166, 368041, 84814505092534959509391948838840446234204726, 70317071911266558008376425928345147557594742, 70306756656188252497018510762343291201642896, 42056502697012527726228792111638736309283062, 98620753813926061781030263844190374671436159, 8841809848177991982517377264310], 'label': '15944266600786427904000.a.7752._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7752.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7752._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035698
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 13816635548048268058743109769940666038195782, 5041, 8683326460573880235220148944896000000, 7, 10341831284015861222725860898229696681647, 8683326460589391445385482032658601646, 13806311091631170252976297440893730816000000, 21265461833505988870993145571458774738345, 13837892334787095971013356164429461137124769, 13816635565024462782149907988293947068841641, 13816635565033450954535159584210556434787263, 13816644231374728648134604971147336345218503, 31589909497248531965997626322902424556816, 13816644256564908826433707186831799947502928, 21265461833495100001491512767021056000000, 13827567861906524378462953273902965944917838, 13827567844930352223840966018203888721622440, 13837901001128408251023441387412678746565697, 10333147975227906923406353292066816000000, 13806311108607353474616338151572528344770606, 31589909506079420601549836872817370472313, 8231680416171662519680106496000000, 121, 6227020801, 121645100408832001, 13827567870138238252368789810579682068725344, 362881, 1307674368001, 8841761993739701954543616000001, 355687428096001, 13827559186820585967211109434290245837136415, 39916801, 10341848260188000333503585832821821476174, 8683326483190465426291136474097833646, 13806302425280892722587551110754587807069225], 'label': '15944266600786427904000.a.348840._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035699
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 13816635548048268058743109769940666038195782, 5041, 8683326460573880235220148944896000000, 7, 10341831284015861222725860898229696681647, 8683326460589391445385482032658601646, 74139226575602291387891493972894781476174, 13806311091631170252976297440893730816000000, 21265461833505988870993145571458774738345, 13795351692273050912158218885862790674787263, 13837892334787095971013356164429461137124769, 52891165347394395107327207060511450472313, 13816644231374728648134604971147336345218503, 13785009852766060890772622004643237564841641, 21265461833495100001491512767021056000000, 13827567861906524378462953273902965944917838, 13795343000723593851927929816644105867502928, 10333147975227906923406353292066816000000, 8231680416171662519680106496000000, 121, 6227020801, 121645100408832001, 13827567870138238252368789810579682068725344, 13785009852766038500110560781384834264770606, 13763753116425377617369432709126138961622440, 1307674368001, 362881, 52891165338563506471774996510596504556816, 8841761993739701954543616000001, 13774086256177756336196062442883803226565697, 355687428096001, 13795343008955263121069598429778924703069225, 13827559186820585967211109434290245837136415, 39916801, 8683326483190465426291136474097833646], 'label': '15944266600786427904000.a.348840._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035700
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 5041, 13816635573256120629536809990337750077476174, 8683326460573880235220148944896000000, 7, 52882456830877744398197472504919697124769, 10341831284015861222725860898229696681647, 63814770689021078603651334205341696000000, 8683326460589391445385482032658601646, 13816635565033450954535159584210556434787263, 13763753108211369851827061979945605850472313, 13816644256564908826433707186831799947502928, 13785009852766060890772622004643237564841641, 42549308855525978602159821438320640000000, 10333147975227906923406353292066816000000, 13806311108607353474616338151572528344770606, 31589934696259340765907821752427704917838, 8231680416171662519680106496000000, 121, 42549308864367740595950742365704397136415, 6227020801, 121645100408832001, 13763753108202538963191509769395690904556816, 13763753116425377617369432709126138961622440, 362881, 1307674368001, 8841761993739701954543616000001, 13774086256177756336196062442883803226565697, 74147918646576365946141980229966489218503, 355687428096001, 42557992182020025753631118655140628725344, 13795343008955263121069598429778924703069225, 42549308855536867471661454242758358738345, 39916801, 8683326483190465426291136474097833646, 8683326471462775538935732864694195782], 'label': '15944266600786427904000.a.348840._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035701
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 5041, 10333164951411128563447063970864344770606, 52891165338552972552921316706642010565697, 8683326460573880235220148944896000000, 7, 52882456830877744398197472504919697124769, 10341831284015861222725860898229696681647, 63814770689021078603651334205341696000000, 8683326460589391445385482032658601646, 63806070386377492254449498618713247069225, 52891165347394395107327207060511450472313, 42558009158180469357925351406939217622440, 16976194190521482796555089547502928, 42549308855525978602159821438320640000000, 10333147975227906923406353292066816000000, 31589934696259340765907821752427704917838, 8231680416171662519680106496000000, 121, 42549308864367740595950742365704397136415, 6227020801, 121645100408832001, 362881, 1307674368001, 52891165338563506471774996510596504556816, 74139226575624860172652011609198268841641, 8708525651250751771865773774354787263, 8841761993739701954543616000001, 74147918646576365946141980229966489218503, 355687428096001, 42557992182020025753631118655140628725344, 42549308855536867471661454242758358738345, 39916801, 10341848260188000333503585832821821476174, 8683326483190465426291136474097833646, 8683326471462775538935732864694195782], 'label': '15944266600786427904000.a.348840._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035702
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 13816635548048268058743109769940666038195782, 5041, 8683326460573880235220148944896000000, 7, 10341831284015861222725860898229696681647, 8683326460589391445385482032658601646, 74139226575602291387891493972894781476174, 13806311091631170252976297440893730816000000, 21265461833505988870993145571458774738345, 13837892334787095971013356164429461137124769, 52891165347394395107327207060511450472313, 13816635565033450954535159584210556434787263, 13816644231374728648134604971147336345218503, 31589909497248531965997626322902424556816, 13785009852766060890772622004643237564841641, 13827567861906524378462953273902965944917838, 13837901001128408251023441387412678746565697, 13795343000723593851927929816644105867502928, 10333147975227906923406353292066816000000, 8231680416171662519680106496000000, 121, 121645100408832001, 6227020801, 13827567870138238252368789810579682068725344, 74147918655407223533317985542864896000001, 13785009852766038500110560781384834264770606, 13763753116425377617369432709126138961622440, 1307674368001, 362881, 355687428096001, 13795343008955263121069598429778924703069225, 39916801, 13763761782766802512380449136473706701136415, 8683326483190465426291136474097833646, 42557992173144790488655339632721920000001], 'label': '15944266600786427904000.a.348840._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035703
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 13816635548048268058743109769940666038195782, 5041, 8683326460573880235220148944896000000, 7, 10341831284015861222725860898229696681647, 8683326460589391445385482032658601646, 13806311091631170252976297440893730816000000, 21265461833505988870993145571458774738345, 13795351692273050912158218885862790674787263, 13837892334787095971013356164429461137124769, 13816635565024462782149907988293947068841641, 13816644231374728648134604971147336345218503, 13816644256564908826433707186831799947502928, 13827567861906524378462953273902965944917838, 13827567844930352223840966018203888721622440, 10333147975227906923406353292066816000000, 13806311108607353474616338151572528344770606, 31589909506079420601549836872817370472313, 8231680416171662519680106496000000, 121, 121645100408832001, 6227020801, 13827567870138238252368789810579682068725344, 74147918655407223533317985542864896000001, 362881, 1307674368001, 52891165338563506471774996510596504556816, 13774086256177756336196062442883803226565697, 355687428096001, 39916801, 13763761782766802512380449136473706701136415, 10341848260188000333503585832821821476174, 8683326483190465426291136474097833646, 13806302425280892722587551110754587807069225, 42557992173144790488655339632721920000001], 'label': '15944266600786427904000.a.348840._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035704
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 52882482020944694585279478316195224556822, 5041, 8683326460573880235220148944896000000, 7, 10341831284015861222725860898229696681647, 8683326460589391445385482032658601646, 63814770689021078603651334205341696000000, 13785018553059851050724034790989568664855623, 13816644231365886870629605288135061091174982, 52891165347394395107327207060511450472313, 13816635565033450954535159584210556434787263, 13837901009872910523392619925240482917897038, 42549308855525978602159821438320640000000, 10333147975227906923406353292066816000000, 13806302425289734662729842633378127064770607, 8231680416171662519680106496000000, 121, 13774094930742154278150583551828580640484769, 13806302408313551441089801922699329536000001, 121645100408832001, 6227020801, 13785009852757219128778882302688693948841640, 362881, 1307674368001, 13774086256177756336196062442883803226565697, 355687428096001, 13763753099458058935758878178328883988725350, 13795343008946421359075858727824381086706345, 13763753108202538963191509891400576081622441, 39916801, 42549308855536867471661454242758358738345, 13763761782766802512380449136473706701136415, 10341848260188000333503585832821821476174, 8683326483190465426291136474097833646, 13816635573247290014547211668637398667502929], 'label': '15944266600786427904000.a.348840._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035705
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10341856483026654511426403559692375844174, 10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 5041, 8683326460573880235220148944896000000, 7, 10341831284015861222725860898229696681647, 63814770689021078603651334205341696000000, 8683326460589391445385482032658601646, 13785018553059851050724034790989568664855623, 13816644231365886870629605288135061091174982, 13837901009872910523392619925240482917897038, 13816644256564908826433707186831799947502928, 13785009852766060890772622004643237564841641, 42549308855525978602159821438320640000000, 10333147975227906923406353292066816000000, 13806311108607353474616338151572528344770606, 8231680416171662519680106496000000, 121, 13774094930742154278150583551828580640484769, 13806302408313551441089801922699329536000001, 6227020801, 121645100408832001, 13816644248351069766421655102404957714792303, 13763753116425377617369432709126138961622440, 362881, 1307674368001, 52891165338563506471774996510596504556816, 355687428096001, 13795343008955263121069598429778924703069225, 13763753099458058935758878178328883988725350, 13774086264400594990373985260609366146482497, 52882482029775583220831688866110170467273, 42549308855536867471661454242758358738345, 39916801, 13763761782766802512380449136473706701136415, 8683326483190465426291136474097833646], 'label': '15944266600786427904000.a.348840._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035706
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 5041, 8683326460573880235220148944896000000, 7, 13774094930733312516182695866612922001124769, 10341831284015861222725860898229696681647, 8683326460589391445385482032658601646, 74139226575602291387891493972894781476174, 21265461833505988870993145571458774738345, 13795351692273050912158218885862790674787263, 13816635565024462782149907988293947068841641, 52891165347394395107327207060511450472313, 31589909497248531965997626322902424556816, 13816644256564908826433707186831799947502928, 13827567844930352223840966018203888721622440, 13774094930733188672847126628909655224917838, 10333147975227906923406353292066816000000, 13806311108607353474616338151572528344770606, 8231680416171662519680106496000000, 121, 13806302408313551441089801922699329536000001, 6227020801, 121645100408832001, 74147918655407223533317985542864896000001, 362881, 1307674368001, 13795351701026237180142441461269366454195782, 13774086256177756336196062442883803226565697, 355687428096001, 13763753099449217173765138476374340372725344, 13827559186820585967211109434290245837136415, 39916801, 8683326483190465426291136474097833646, 13806302425280892722587551110754587807069225, 42557992173144790488655339632721920000001, 13785018561282689704901957608715131545218503], 'label': '15944266600786427904000.a.348840._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035707
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 5041, 8683326460573880235220148944896000000, 7, 13774094930733312516182695866612922001124769, 10341831284015861222725860898229696681647, 8683326460589391445385482032658601646, 21265461833505988870993145571458774738345, 13816635565033450954535159584210556434787263, 13785009852766060890772622004643237564841641, 13837901001128408251023441387412678746565697, 13774094930733188672847126628909655224917838, 13795343000723593851927929816644105867502928, 10333147975227906923406353292066816000000, 31589909506079420601549836872817370472313, 8231680416171662519680106496000000, 121, 13806302408313551441089801922699329536000001, 6227020801, 121645100408832001, 74147918655407223533317985542864896000001, 13785009852766038500110560781384834264770606, 13763753116425377617369432709126138961622440, 362881, 1307674368001, 52891165338563506471774996510596504556816, 13795351701026237180142441461269366454195782, 355687428096001, 13795343008955263121069598429778924703069225, 13763753099449217173765138476374340372725344, 13827559186820585967211109434290245837136415, 39916801, 10341848260188000333503585832821821476174, 8683326483190465426291136474097833646, 42557992173144790488655339632721920000001, 13785018561282689704901957608715131545218503], 'label': '15944266600786427904000.a.348840._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035708
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [98620771698600055928348457728779223040000000, 98609830200361528642535844276708446235093817, 10904406512478423339403371000, 8841777504949745641217068017846, 7, 70338337364338160601108107197199305997544655, 28303109321872324773306547294543227901253040, 70349260969670651909620448298490920960000000, 355687468017846, 25903108036750381113601, 27157647018117761884211945477040, 5167, 10341831284004956816162169531924480000000, 6227025847, 8691540457466064418335919964160000000, 28271510728938245780721907532617424765402862, 39916920, 10333156189235703514153160091937591115929, 10904380660462038834220017846, 56564251125145135796872164757131046561495801, 42077768133647012048426891549801746701676801, 10888869450540352954831948921, 13774094930733188657310064568838389760000000, 98620771698600066832729118312862004578473543, 121645106675769601, 126, 84856992031168022356490934265567490260795751, 84835735269637170858350387708414394018110017, 52846679250927795389646548851752960000000, 42088092598287039669022204144152524158279265, 28271492836050785843781774163752022460580487, 70306765339505871308905006280537692481642902, 98599514937078057096582951298089719211682270, 42513523061713900662769779549108053894272, 25852016738884976645166, 368041, 84814505092534959509391948838840446234204726, 84857000722699716734714284262610779945804159, 70317071911266558008376425928345147557594742, 56595858919316604399469433117699942167454928, 42056502697012527726228792111638736309283062, 8841809848177991982517377264310, 56543012256502354027871595869019485423170134], 'label': '15944266600786427904000.a.7752._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7752.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7752._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035843
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [8841761993739701954543616000001, 5041, 357001369406641, 21256786738714942292918812298182656000000, 1307674373166, 51212942959546373040, 7, 6227383687, 21256786729906685779621647123828744559927, 13774086239192731191245646232918425600000000, 126, 25852016740198918308607, 15511261255918264329292926, 10904406563691366305216681647, 39921847, 31598609799903829332943823175945968536624, 10341839515685372987824689212030976000000, 8683326460573880235220148944896000000, 122002095511296120, 363007, 10341831284004956816162169531924480000000], 'label': '15944266600786427904000.a.697680._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035709
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 52882482020944694585279478316195224556822, 13816635548048268058743109769940666038195782, 5041, 8683326460573880235220148944896000000, 7, 13774094930733312516182695866612922001124769, 10341831284015861222725860898229696681647, 63814770689021078603651334205341696000000, 8683326460589391445385482032658601646, 13763761782775644274374188838072562889040415, 13806311091631170252976297440893730816000000, 52891165347394395107327207060511450472313, 13816644256564908826433707186831799947502928, 13785009852766060890772622004643237564841641, 42549308855525978602159821438320640000000, 13827567861906524378462953273902965944917838, 10333147975227906923406353292066816000000, 13806311108607353474616338151572528344770606, 8231680416171662519680106496000000, 121, 6227020801, 121645100408832001, 13816644248351069766421655102404957714792303, 13763753116425377617369432709126138961622440, 1307674368001, 362881, 355687428096001, 13795343008955263121069598429778924703069225, 13774086264400594990373985260609366146482497, 13763753099449217173765138476374340372725344, 39916801, 42549308855536867471661454242758358738345, 10341848260188000333503585832821821476174, 8683326483190465426291136474097833646, 13785018561282689704901957608715131545218503], 'label': '15944266600786427904000.a.348840._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035710
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10341856483026654511426403559692375844174, 10333147975227906949309460973123502080000, 10333147975227906923457566236340304041646, 13816635548048268058743109769940666038195782, 5041, 8683326460573880235220148944896000000, 7, 13774094930733312516182695866612922001124769, 10341831284015861222725860898229696681647, 63814770689021078603651334205341696000000, 8683326460589391445385482032658601646, 13763761782775644274374188838072562889040415, 13806311091631170252976297440893730816000000, 13816635565033450954535159584210556434787263, 42549308855525978602159821438320640000000, 13827567861906524378462953273902965944917838, 10333147975227906923406353292066816000000, 13806302425289734662729842633378127064770607, 8231680416171662519680106496000000, 121, 6227020801, 121645100408832001, 13785009852757219128778882302688693948841640, 362881, 1307674368001, 52891165338563506471774996510596504556816, 13774086256177756336196062442883803226565697, 355687428096001, 13795343008946421359075858727824381086706345, 13763753108202538963191509891400576081622441, 13763753099449217173765138476374340372725344, 52882482029775583220831688866110170467273, 42549308855536867471661454242758358738345, 39916801, 8683326483190465426291136474097833646, 13816635573247290014547211668637398667502929, 13785018561282689704901957608715131545218503], 'label': '15944266600786427904000.a.348840._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '348840.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '348840._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035711
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '352716.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': 352716, 'diagramx': None, 'generators': [21265453080150726253189704000031789476487, 25852016738891243945647, 122000787836928000, 121, 10888895302435091045744640000, 7, 10341839515696277394388380578336192681647, 13763753091226345046315979581580902400000001, 10341839506843626585206129950350935808126, 13795360901852185501099049246645945844137640, 8691540468354987872259000689227658470, 355693695401647, 40284847, 8683317618827397705561525387264000000, 21256786757041716186747290581319467761961, 15537062060069870960640000, 5167, 6227388847, 1313941673647, 51212587272118272000, 8841761993790914898817104041647, 363007, 8222838654177974030668522426368000], 'label': '15944266600786427904000.a.352716.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '352716.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '352716.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035712
    {'ambient': '15944266600786427904000.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': [10341839515696277368485272915513358570247, 15511261134273157693440000, 13763753099449194604874562982634712440860087, 8841761993790792896715325440000, 13774086247497663452038843819247043411132726, 8700330411041053162189427004946238761, 5046, 7, 1307674368120, 363000, 355687428096120, 10333147966386144929717742279694909440000, 13774094922510360907512853682232722089728000, 8683317618811912347535288973687973528, 8222838654177973908667734589440000, 10333241125098530648283349131760052388487, 28292749597563354914578488109007834772561967, 17909891421325351376405602767999033720, 10888869501509294332477440000, 10341831284004956816164219802068331474209, 10341831292846718835753888232253918865840, 13774086239192731191245646232918426078621734, 13774094922510350003132192845437543241545473, 121, 13774086239192742160178843582896532101284481, 13763753091226390262814007959131006942556720, 6227020806, 13763753099458036366868353909984085018853425, 95386829519499595648251364424564119659006, 8683317618811912347535288973687171886, 13763753091226355935185429999933063168000000, 10333147975238811304066936977309119576257, 8683317618811886546609136572989440000, 39916801, 122002101778601647, 25903107681056686080000], 'label': '15944266600786427904000.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: 12035713
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [5041, 13763753099458036366894154579684388664604736, 7, 10341831284004972327372213218604120326111, 10341831284004956816162169531924480000000, 10341831292857607705632878090783935552974, 13774094930742030434815066690076960512110305, 8841777530852853322314038242991, 51090942171709440001, 10341831284015845711515699693865264721400, 13763753099476352251892680501585718711025840, 13774094930733199561716577169262517040221030, 13774094930733199561690776121465022163148368, 121, 10341831284015861222674647958093912363560, 25852016738884976640001, 6227020801, 121645100408832001, 8852666374400285282797392957487, 13774094930733188657310066618353999234205670, 13763753099449183700493902399306465280000000, 362881, 1307674368001, 10341831292857623216415496690724680022407, 15511210043330985984000001, 25852138739673289764049, 8841761993739701954543616000001, 355687428096001, 39916801, 67785336904838821856482435176, 15537064231600203775404232, 13774094930742030434923184206013500243330559, 8841794336967948650229905637431, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035714
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5041, 13774094930742041308173790306453895501003944, 13774094930733188657310064695006929931586135, 10341839506843610994084987257487360000001, 7, 8841761993739701954549843021225, 13774094930733188657526352502815734787403944, 13763753091235186808309770374478925439759768, 10341839515696261857275107921186849694951, 10341839506854515400648558885463287178009, 8841777504949745285529600000000, 13774094930733188657310115781785520014039384, 15511261255919646336818208, 10341839506854500350225801534484700520615, 51090942171709440001, 13774094930742041323710367962157925086464294, 13774094930733188657310064568838389760000000, 13774094930742041308228277579816579772168654, 13763753091235197712690430836162132417288744, 121, 6227020801, 121645100408832001, 25852016738884976640001, 27157662529327683570097520640120, 8852666375471019017346996669785, 362881, 1307674368001, 10341839506843611019988216939332319645392, 10341839506843643337313355599575546101351, 8841761993739701954543616000001, 355687428096001, 56089856375935466818194691624, 39916801, 13774094930733199546179567737103535661777406, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035715
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13774086239192798976582551071740282082435176, 5046, 7, 8841761993790792896721552461231, 15537062060069870960640000, 51090942177936823686, 13763761774543974762583186652401936083148368, 10341831292857623190613546113888336041647, 10341831284004956816162169531924480000000, 13763761774543974794900563003648137922805470, 10341831292857607705632878090783935552974, 13763761774552805635707477221013874432110305, 8852650889093349634169194043104, 51090942171709440006, 13774086239201572953239437147818765059018886, 10341831284004956816164219047533954205670, 10341831284004956842065277569976618089601, 13774086239192731191245646232918425600000000, 126, 8841777504949870702352049547446, 121645100408832006, 25852016738884976640006, 10341831292857623216415496690724680022407, 1307674368006, 362886, 355687428096006, 10888869450418707848236017847, 10341831292857623190613424113100935382814, 10889003421114036365593970632, 10341831284004956816213382474930579431743, 39916806, 13763761774552816509065718360555038653032839, 10341831302320841814739303664885769655806, 13774086239201572968776499086240739638242991], 'label': '15944266600786427904000.a.372096._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035716
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774094930733199561716628138223442349915849, 13774094930733188673414854422976072253845345, 5041, 7, 13774094930742030419303804270792933376000001, 28281852560213408975544171599820226560000000, 363000, 13774094930742041308738785572700830059759423, 28281852560222261626433215022221179746897278, 10888869501630940740600580264, 28281852560213408975570023616559111536640001, 42035263828378587719222712511207737059233511, 42035263828387440370111382414601795833594590, 13774094930733199546179514987547551900644352, 28281852560213419896756850386514481741117104, 54861048481110561014992, 13774094930733188657310064568838389760000000, 15511261261193604359320625, 8852666914079030453246655338449, 121, 42035263828378587719247763846690647480645712, 6227020806, 121645100408832006, 42035263828387440370085102071547886054226151, 1307674368001, 15511210043330985984000001, 355687428096001, 28281852560213408975544222690762398269440006, 13774094930733199546205367003944705205559248, 10904380711552626626525275745, 39916801, 42035263828387474697713787213994434588810464, 13774094930751515431178092121323505630193967, 13774094930742041308173254693269693224497422, 42035263828387429496752715385041150896005832, 28281852560222261626433213858866690584688848, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035717
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [8683317629700781849048356342064721401, 8231691320578174998103486264609776, 5041, 8250007205576700920004816311025841, 8691549310116953889044478823615552974, 7, 8683317629716293007996620570712363561, 8222838654203774956465236129847249, 8683317618827397705561881080920321071, 8222838654177922817725562880000001, 8691540457466064418335919964160000000, 8222838669714987049325766615487432, 8691549310132464671663078764360022407, 8841777530852853322314038242991, 51090942171709440001, 8691540468370445129888546596563148368, 8683317629716293008118618528560221024, 8683326460589499615155369511763330439, 121, 25852016738884976640001, 6227020801, 121645100408832001, 8691549299243569420457158534912110305, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 8231691320552323103008360272957486, 8691540457466064420385435573634205670, 8231680448514890766375792785637425, 39916801, 67785336904838821856482435176, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035718
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [5046, 13763761782766813401249848457499482002572384, 7, 8841761993790792896721552461231, 15537062060069870960640000, 13763761782775722964117606149640944072328903, 51090942177936823686, 13774086247424411639760536999294218385637425, 10341831292857623190613546113888336041647, 10341831284004956816162169531924480000000, 10341831292857607705632878090783935552974, 13774086247415569860960633282244192215487432, 8852650889093349634169194043104, 51090942171709440006, 10341831284004956816164219047533954205670, 10341831284004956842065277569976618089601, 126, 8841777504949870702352049547446, 121645100408832006, 25852016738884976640006, 10341831292857623216415496690724680022407, 13763761782775655178780701310821715392681647, 1307674368006, 362886, 355687428096006, 10888869450418707848236017847, 13774086247424411607443160891338204909602975, 10341831292857623190613424113100935382814, 10889003421114036365593970632, 10341831284004956816213382474930579431743, 39916806, 13774086247415580734318872892748005366068270, 13763761782766813416786910395927035992363561, 10341831302320841814739303664885769655806], 'label': '15944266600786427904000.a.372096._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035719
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '38.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': '38T66', 'count': 19, 'diagramx': None, 'generators': [8841761993790914898817104041647, 121, 237693730975440036624469464442001694, 10342068968883249129049119694704984802271, 8937987567127695498324515106399062536, 10341831292857607705204433499268133714334, 125318219845562031003798400783724839384, 8937978838271799822805400417137231134, 8691549299630783230102576562061285263, 5167, 31598609818208051142362872344482340837551, 10341831284004956816855802700524526617174, 350485818574792616682642367903268563541328, 10888895302435091045744640000, 10341831284004956842707941438895979906423, 8691549310132626685022207549372016288, 144752399822270994436949335, 8691549310116953511563909032946357328, 51212587272118272000, 122000787836928000, 25852016738891243945647, 7, 8231691305067016167714118014034422, 10341831292846718835753888239315098379646, 15537062060069870960640000, 10341831284015861222728165755547285046695, 8929234188425966699267152265349365345, 8683317787823811759414496117070580054, 10341839515696277394388380578336192681647, 31616485720609723622191825536614440279687, 8683317618827397705567554027332175998, 8683317618956505034515903780881896912, 10333147975227922460468413717631431779840, 40284847, 8231849395347935955280216023273894, 10333156189428219617265684110549694433798, 10341839515696277368487578152143514883608, 8691540457466091126990620480077802280, 10359961865805661421816708414973100373335, 10341839515696261857327089549380981800535, 8691540457466090963986185926015441400, 6227388847, 318896129777419381572321755778183407085654, 1313941673647, 8691540468354933868876274226968688408, 363007, 8683317618827397705561525467864100048, 8683317618827397705561525387264000000, 8912249152747123332485063996141904593, 355693695401647, 8222838654177974030668522426368000], 'label': '15944266600786427904000.a.38.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '38.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '38.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035720
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 40284721, 13774094939513678982652262456129057919033726, 28303091428847348982525148768889733120000000, 7, 13774094922510350018669255023771283860686720, 51090942171749724727, 70306747446617801564228341085047865198088528, 121646408123479680, 13774094922510360907538656279407469451435815, 56553318820031382088935033310618729922455249, 15537062181716279044208041, 8231872012472488848689636741531104, 367927, 8231691321117853743272586918480424, 13774094922510654520528520706708479498832294, 70306747446608959802234443244818490853526463, 1307674731006, 13774094930742030419303855483735933159337304, 70306747446608948929199165866869455958416047, 56553318820031371200065633982851805681381257, 5160, 70306747446617801564795211984307197117655270, 28303091437079198426159189361375108247588423, 28303091428847348998062261920258770892941735, 126, 13774094922510350003132141751112826880000001, 42056502688789699976431529750304228379474270, 10888895302556737460054860927, 70306747454831787567542645713715440031856415, 13774094947718246968329794912397579935882591, 8222849558558634370706568809820720, 13774094922510350018643402885741672351075833, 6267300607, 70306747446608959802233693653811365457450008, 16050839612626379758193273, 28303091428856190744518890642361987948880430, 28303091428874788562566169210629507406064310, 56553318820040223850928772890587929756149351, 70306747446608948928849652480251532495293769, 25903229683152237292921, 357001369764600], 'label': '15944266600786427904000.a.7752._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7752.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7752._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035721
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774112815434396572499748806534330326359807, 13774104140321333987446810541775525973819854, 8841777505592291276765466009726, 5041, 7, 13774112815407555122793536114516805200493958, 8691549299243595594759564289203753889, 27157662503526757774698194745721, 8691549310132464936984605062491991254, 8691540457466064418335919964160000000, 13774112815407261494292193243591143014181409, 13774104140550339784566069942919324012257961, 51090942171709440001, 8691540728525780785308816274517333448, 236764430961038159865810162790, 13774112815407261494318738772617906581840864, 121, 8691540457481575628379266226023942526, 121645100408832001, 25852016738884976640001, 6227020801, 8841777505000958245308024758263, 362881, 1307674368001, 8691540457481601695893489259386512431, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 13774112815416103256312264500836713995982944, 39916801, 8691540457466065113885261912379298623, 13774104140321323114088621379362472456765670, 8841809822325974887951159269424, 13774112815416114145155383364246453695580742, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035722
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [8841777505592291276765466009726, 13774104132098484444425768982642312715982950, 5041, 7, 8691549299243595594759564289203753889, 27157662503526757774698194745721, 13774112823638941925975116897555566062397670, 8691549310132464936984605062491991254, 8691540457466064418335919964160000000, 13774112823867958596452565461113725292257960, 51090942171709440001, 8691540728525780785308816274517333448, 13774104132089642682432243254422197627472864, 236764430961038159865810162790, 121, 8691540457481575628379266226023942526, 121645100408832001, 25852016738884976640001, 6227020801, 13774104132098495333268887846052052415580736, 8841777505000958245308024758263, 13774104132089947199776491014674564688493958, 13774112823638952799333306059969927253819855, 362881, 1307674368001, 8691540457481601695893489259386512431, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 39916801, 8691540457466065113885261912379298623, 8841809822325974887951159269424, 13774104132089642682405697725396741734544289, 13774104132116777760613253288339929046359806, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035723
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [8841777505592291276765466009726, 5041, 7, 8691549299243595594759564289203753889, 26576241665381254102573615904726359807, 27157662503526757774698194745721, 8691549310132464936984605062491991254, 8691540457466064418335919964160000000, 26576214530303073092539699480981840864, 51090942171709440001, 26576214530303046547010672717414181409, 8691540728525780785308816274517333448, 17901128591922842975146444046856765670, 236764430961038159865810162790, 26576223382953909737131328028095580742, 121, 8691540457481575628379266226023942526, 6227020801, 25852016738884976640001, 121645100408832001, 8841777505000958245308024758263, 362881, 1307674368001, 26576214823931547889881598379600493958, 8691540457481601695893489259386512431, 15511210043330985984000001, 8841761993739701954543616000001, 26576223372065066618267918288395982944, 355687428096001, 17901357608593320423710000898412257961, 39916801, 8691540457466065113885261912379298623, 8841809822325974887951159269424, 17901128602796201164308857100373819854, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035724
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [17892896911491160051492478316134544289, 8841777505592291276765466009726, 5041, 7, 17892924046569367607055421503446359806, 8691549299243595594759564289203753889, 17892897216008530844781756139088493958, 27157662503526757774698194745721, 8691549310132464936984605062491991254, 17892896911491186597021503772027472864, 8691540457466064418335919964160000000, 51090942171709440001, 8691540728525780785308816274517333448, 17892905764142023241613133626815580736, 236764430961038159865810162790, 121, 8691540457481575628379266226023942526, 6227020801, 26584446221608087659827051501653819855, 25852016738884976640001, 121645100408832001, 8841777505000958245308024758263, 362881, 1307674368001, 15511210043330985984000001, 8691540457481601695893489259386512431, 8841761993739701954543616000001, 355687428096001, 26584675227405206919228195299692257960, 26584446210734729470664637140462397670, 39916801, 8691540457466065113885261912379298623, 8841809822325974887951159269424, 17892905753253180122749723887115982950, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035725
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774094930733199561716628138223442349915849, 42045605659662592676063926016222571960645712, 13774094930733188673414854422976072253845345, 42045605659671445326901264241079810534226151, 28271510728938256669617052852689255266897278, 5041, 7, 363000, 13774094930742041308738785572700830059759423, 10888869501630940740600580264, 42045605659662592676038874680739661539233511, 42045605659662592676038073999126691840000000, 13774094930733199546179514987547551900644352, 54861048481110561014992, 51090942171709440001, 13774094930733188657310064568838389760000000, 15511261261193604359320625, 8852666914079030453246655338449, 121, 121645100408832001, 6227020801, 25852016738884976640001, 1307674368001, 15511210043330985984000001, 42045605659671479654529949383526359068810464, 8841761993739701954543616000001, 355687428096001, 42045605659671445326927544584133720313594590, 42045605659671434453568877554573075376005832, 13774094930733199546205367003944705205559248, 10904380711552626626525275745, 28271510728938256669617051689334766104688848, 39916801, 13774094930751515431178092121323505630193967, 13774094930742041308173254693269693224497422, 28271510728929414939940688216982557261117104, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035726
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31008, 'diagramx': None, 'generators': [56595832351315923755014341930409265512917696, 32343279458928572427528551, 84867351755340097026962144798535843840000000, 7, 84867351755340097026962144800046388318648257, 84867351755348938804492946688590926848341448, 56595832351315912866063695327490291194776625, 42045596968130976987478656621435223227945736, 56595832351315923754932075268201529630767417, 51090942171709440001, 42045596968130976987505528280963763627594241, 8852650863241332898154655445686, 56595832351315912850551465897104866681956144, 5160, 121, 121645100408832001, 6227020801, 56595832351315923754906274342050429907094463, 8886962980665341069995146557110, 362881, 1307674368001, 15511210043330985984000001, 56595832351315923754932075268202844360743167, 56595832351315912850525562667778703360000000, 42045596968130987876373960984042391922928425, 8841761993739701954543616000001, 27168551398778101923572230313521, 355687428096001, 8841762019591718693434821676374, 56595832351324765516900177052562806494746551, 42045596968122135210053567141420364979464654, 39916801, 8852650863241333263645770162503, 25903107681056686080000, 8852650889470585007022246550326, 56595832351315912850525613880365975518552382, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035727
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [26584437368972735682055687648668989110, 26584437379861605181259727104866363446, 5041, 42045579075225234623194373595529742625213366, 7, 42045579075481340864931472378312627163561646, 27168583716205422465543882986591, 122000787836928000, 42045579075234076369703768375750639585162590, 8852666401373870959156293770470, 42045579075225223718839456431122881328215703, 42045605659662592676038073999126691840000000, 26584437379846119772263482251136407080, 51090942171709440001, 42045579075252369670379400473644858785854761, 26584446210734863226751224502894693262, 42045579075225234607708907496870802743056046, 42045579075225223734324816129490543131544321, 121, 42045579075225234623274119896680743308476841, 42045579075225234623220116771557153004892720, 26584446504363202339741142168111723641, 6227020801, 25852016738884976640001, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 137064072074556269276315847209646, 26584446210719244061547440368880387326, 9135405977818942700677211217840, 39916801, 8852666375471019374355511178302, 42045579075225223734350717443749630898176713, 42045605659662592691575187271797789800718640, 42045579075225223734324865548300165169589041, 42045579075234065480807395085637099525797166, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035728
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 8231691320578174998103486264609776, 8250007205576700920004816311025841, 5046, 13763761782766813401249848457499482002572384, 7, 8222838654203774956465236129847249, 8841761993790792896721552461231, 15537062060069870960640000, 8222838654177974934159244976464680, 51090942177936823686, 13763761782775722964117606149640944072328903, 13763761774543974762583186652401936083148368, 13763761774543974794900563003648137922805470, 13763761774552805635707477221013874432110305, 8222838654203774834464447856640000, 8852650889093349634169194043104, 51090942171709440006, 8231691320578228260562021186877225, 8222838669689612402221276199984929, 126, 8841777504949870702352049547446, 121645100408832006, 25852016738884976640006, 13763761782775655178780701310821715392681647, 1307674368006, 362886, 8231691320552323103008360272957486, 355687428096006, 10888869450418707848236017847, 10889003421114036365593970632, 39916806, 13763761774552816509065718360555038653032839, 13763761782766813416786910395927035992363561], 'label': '15944266600786427904000.a.372096._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035729
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [5041, 31598592823776906614595912766048860572736, 13785009861007170276816634729060685821015806, 13774094930815226238650458483439005355251200, 13774094930733188657335916712499062168302016, 7, 13785009860980339716031360985384237282054830, 31598592823698216976833641062652286068705, 13785009860980035214146142641859593271529521, 8852666400787543084416347141057, 146427118459972283998261618433, 13774094930733188657335916707222375233755825, 31598592951886892253701161641337552000687, 8841761993790914541822136649662, 13785009861007294248745969974655877501169960, 51090942171709440001, 31598592814867359337851292754511307852816, 13774094930733188657310064568838389760000000, 155210799557822809142151744883207, 13785009860988876976165783913812505269246103, 121, 121645100408832001, 6227020801, 25852016738884976640001, 27157662529327683570097520640120, 362881, 1307674368001, 15511210043330985984000001, 13774094930742030434815065405067405407126353, 8841761993739701954543616000001, 355687428096001, 236764430911613363736467762225, 13774094930742143373230455490336003317023352, 32343228368342088186101345, 31598592814867343826641129643343096989790, 39916801, 8852666375521735989710000510017, 13785009860988910756533024406920460004299567, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035730
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [8841777505592291276765466009726, 5041, 7, 13763770984123256537476031074059218534181409, 8691549299243595594759564289203753889, 13763779675672566654403639408632404053819854, 27157662503526757774698194745721, 8691549310132464936984605062491991254, 13763770984132098299496102331304789515982944, 8691540457466064418335919964160000000, 13763779675901572451522898809776202092257961, 51090942171709440001, 8691540728525780785308816274517333448, 13763770984150391615683586637002405846359807, 236764430961038159865810162790, 13763770984132109188339221194714529215580742, 121, 8691540457481575628379266226023942526, 6227020801, 25852016738884976640001, 121645100408832001, 8841777505000958245308024758263, 13763770984123550165977373944984880720493958, 1307674368001, 362881, 15511210043330985984000001, 8691540457481601695893489259386512431, 8841761993739701954543616000001, 13763770984123256537502576603085982101840864, 355687428096001, 39916801, 13763779675672555781045450246219350536765670, 8691540457466065113885261912379298623, 8841809822325974887951159269424, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035731
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [121646414310225847, 144105532218709379206011422560368311, 56564242441827527858318057597228846943586553, 56542985672073826817129655820881494016362880, 28292749605868220261173724164189810659803105, 21256769762531929823952315848385466770791, 56542985697272882020333569280211703455882585, 5167, 28292749597563344025708986599357808640000000, 121645106635852926, 28271492844255331197257142011819197103287823, 28292749605841096087937032145895523820874361, 25852138383991612492806, 8222838670228918913417930955165942, 8841761993739702310231044096000, 28271492836041345178996627851489120274089905, 56564242441827516984959868437037800292021544, 229141624621799182757830723563898008, 28271492861240355987231109466497483438929847, 21256761530851513678090603733096762819272, 6227020801, 121645100408832001, 28292749605795024441960776489061815270711016, 121645100408832006, 28292749597627099210886501875839253881199920, 56542985689068314034656036823943181439033727, 28292749597572185787702726422958766566249311, 28292749597572185803645552883226211966941671, 21256761530862387010479079892908867427152, 56542985672073826817129655820881500243025846, 25852016740198917950646, 8222838669715036090739707328681647, 56564242441946750928885154797298323918989230, 56542985680296665471333481868290209133292921, 56542985680296676375714142329973362112681647, 56542985757174487505213577037475588166720121, 25903229683152237292921, 56542985790935112248878334154450794596190647], 'label': '15944266600786427904000.a.7752._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7752.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7752._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035732
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [5041, 695549341948219298623, 7, 15537277557569295226512431, 13774112823630404665840909350594528848493958, 27157662503526757774698194745721, 13774112823638941910490187318562276875982950, 13774112823638941925975116897555566062397670, 15511210043332293658368000, 26584446221608087659949053590975580736, 15511210043346261863942526, 13774086239201573001067972207806376759269424, 13774086239201583857646164881603523931991254, 236764430961038159865810162790, 13774086239201572968776822656562750643753889, 121, 13774086239192731191245646232918425600000000, 26584446221608087659827051501653819855, 6227020801, 25852016738884976640001, 121645100408832006, 13774086239193002250962013205814735957333448, 8841777505000958245308024758263, 362881, 13774112823630100148496661590342161787472864, 1307674368006, 8841761993739701954543616000001, 355687428096001, 26584675227405206919228195299692257960, 13774112823630100148470116061316705894544289, 39916801, 13774112823657235226677671624259893206359806, 51090942177936460800, 13774086239201572968751238524195191066009726, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035733
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [28271510737152242689036574118890432430485345, 28271519412247033719484006579423443960580270, 8691540457481601480395989835120640000, 25852016738891203660800, 25852138383985385472000, 28271510737152253561801234683120180405559249, 8691549299228084010054613392752640000, 28271510737152242672905932248013864960000001, 8691549310117493139339782404459759423, 28271510737161129651397807632413532188810470, 8852650863190124431303464497422, 28271519412247022830640356965578583480645832, 28271510737152253577286643800640491485275751, 28271519412265349604482532500967819230193966, 8691540457466064418335919964160000000, 8691549310132978497366373210815338449, 8691540468387277097122614219341117104, 8691540468354959720771011009904640000, 8691549310116927608577873082854226151, 54861048481110561014992, 10888869450418709162140644352, 8691540468370470981905305016749915849, 121, 28271510737161095323794974507060322757668048, 25852016738884976645040, 25852016738884976640001, 8691540457481575679597113568519320625, 25852016738884976640006, 8691549310116953461758320917346897278, 362881, 1307674368001, 28271510737161084450436735803460248496005712, 28271510737152242672906732929626834659228471, 355687428096001, 28271519412255875481503975533489731833594584, 39916801, 25903107681056686080000], 'label': '15944266600786427904000.a.372096._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035734
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [8691540468370445129888546590685275745, 8691540457481601480395989835120640000, 25852016738891203660800, 25852138383985385472000, 8691549299228084010054613392752640000, 8691549310117493139339782404459759423, 8852650863190124431303464497422, 42045605659671445326927116258173155864688848, 10888869501630940740600580264, 42045596968130987860863126248213756153594590, 8691540457466064418335919964160000000, 42045605659662592676038073999126691840000000, 42045605659662592676038874680739661539233511, 8691549310132978497366373210815338449, 42045596968122146131186334449900982861117104, 8691540468354959720771011009904640000, 54861048481110561014992, 10888869450418709162140644352, 42045596968122135209999507680302607800645712, 8691540468370470981905305016749915849, 121, 25852016738884976645040, 25852016738884976640001, 8691540457481575679597113568519320625, 8691540468354959720771026279605559248, 25852016738884976640006, 362881, 1307674368001, 42045605659671479654529949383526359068810464, 355687428096001, 42045605659671434453568877554573075376005832, 18326773868027552485115870193967, 42045596968130987860836845905159846374226151, 39916801, 42045596968130987860862699085607680866897278, 25903107681056686080000, 8691540457482169208190057646653845345], 'label': '15944266600786427904000.a.372096._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035735
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13763779667440875349389072121279075707472864, 8841777505592291276765466009726, 5041, 7, 8691549299243595594759564289203753889, 27157662503526757774698194745721, 13763779667449728000225716712908930495580736, 13763770992354947842517143890438002773819855, 8691549310132464936984605062491991254, 8691540457466064418335919964160000000, 13763779667440875349362526592253619814544289, 51090942171709440001, 8691540728525780785308816274517333448, 236764430961038159865810162790, 121, 8691540457481575628379266226023942526, 6227020801, 25852016738884976640001, 121645100408832001, 13763779667449717111382597849499190795982950, 13763779667441179866733319881531442768493958, 8841777505000958245308024758263, 362881, 1307674368001, 15511210043330985984000001, 8691540457481601695893489259386512431, 8841761993739701954543616000001, 355687428096001, 13763770992583953639636403291581800812257960, 13763770992354936969158954728023641582397670, 13763779667468010427570082155196807126359806, 39916801, 8691540457466065113885261912379298623, 8841809822325974887951159269424, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035736
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13763779675663714003540449409979182694181409, 5041, 695549341948219298623, 7, 15537277557569295226512431, 13763779675664007632041792280904844880493958, 27157662503526757774698194745721, 15511210043332293658368000, 15511210043346261863942526, 10359732641613550136585879532822892257961, 10359732412607753017326478389024853819854, 13774086239201573001067972207806376759269424, 10359732412607753017326600391114175580742, 13774086239201583857646164881603523931991254, 13763779675672555765560520667224753675982944, 236764430961038159865810162790, 13774086239201572968776822656562750643753889, 121, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 121645100408832006, 13774086239193002250962013205814735957333448, 8841777505000958245308024758263, 362881, 13763779675690849081748004972922370006359807, 1307674368006, 8841761993739701954543616000001, 355687428096001, 39916801, 13763779675672555781045450246219350536765670, 51090942177936460800, 13763779675663714003566994939005946261840864, 13774086239201572968751238524195191066009726, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035737
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [28271501527572949993658228534124419888215703, 5041, 7, 28271501527600095945198172576646397345854761, 27168583716205422465543882986591, 28271501527572960898092891999682281868476841, 122000787836928000, 8852666401373870959156293770470, 28271501527572960898038888874558691564892720, 42045605659662592676038073999126691840000000, 51090942171709440001, 13774104132089653571301000160480712576407080, 28271501527572950009143588232492081691544321, 121, 28271501527572950009169489546751169458176713, 28271501527581802644522540478752178145162590, 13774104132098484460044454648222964334693262, 6227020801, 25852016738884976640001, 13774104132089642697916909952686110108989110, 28271501527572950009143637651301703729589041, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 28271501527829067139750244481314165723561646, 28271501527572960898013145698531281185213366, 137064072074556269276315847209646, 355687428096001, 28271501527581791755626167188638638085797166, 9135405977818942700677211217840, 39916801, 13774104132098778088383567638140629551723641, 8852666375471019374355511178302, 42045605659662592691575187271797789800718640, 13774104132089653586786409156725566306363446, 28271501527572960882527679599872341303056046, 13774104132098484444425289444438830320387326, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035738
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [13795351684041495129800149918838438114054830, 5041, 13795351684050043278804023265618866869246097, 13795351684068460551384209326462239101532840, 13774094930815226238650458483439005355251200, 13774094930733188657335916712499062168302016, 7, 21256769753701056699611940948149707852822, 21256769753701041188401777836981496989784, 8852666400787543084416347141057, 146427118459972283998261618433, 13774094930733188657335916707222375233755825, 21256769890720589615461931480076360832687, 21256769762610603976356560959693487593536, 8841761993790914541822136649662, 21256769762531914338594289256290686063665, 51090942171709440001, 13774094930733188657310064568838389760000000, 155210799557822809142151744883207, 121, 121645100408832001, 6227020801, 25852016738884976640001, 27157662529327683570097520640120, 362881, 1307674368001, 15511210043330985984000001, 13774094930742030434815065405067405407126353, 8841761993739701954543616000001, 355687428096001, 236764430911613363736467762225, 13795351684041201516784381993665954871529520, 13774094930742143373230455490336003317023352, 32343228368342088186101345, 13795351684068336579454874080867047421015807, 39916801, 8852666375521735989710000510017, 13795351684050077059171263758726821604299566, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035739
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [98620745130754879744187963308643202626554817, 98620745130617206057010686632097250682295702, 32343279458928572427528551, 5041, 7, 8954731457344536264663633521278, 56595850244212824357196875178507708556090742, 56595850244221970636561036182075022191541465, 28271519420469861484792427766208266240000000, 8852666374451254579868307703248, 10888895354929261986598737960, 98620745130617477085652827693166981304757838, 56595850244212824357196824084951508847062441, 51090942171709440001, 98620745130617206041499425503456434348373454, 98620745130608364294991309658041294967700359, 98620745130617206041473624453000484941834569, 121, 56595850244212970768829177461336723655894982, 6227020801, 25852016738884976640001, 121645100408832001, 8864410896307124184183464937889, 362881, 1307674368001, 56595850244231117642388168886972505456640127, 15511210043330985984000001, 8841761993739701954543616000001, 27168551398778101923572230313521, 355687428096001, 56595850244212835246092128565789272441662023, 56595850244221666119190614878202596744075825, 39916801, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035740
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31598592815160972353620755609696482054830, 8954715920390921497613557023352, 5041, 31598592823776906614595912766048860572736, 13795351684068460551384209326462239101532840, 7, 13763753091235197712716767124665318747141063, 13795351684041212405653830874335413707852822, 13795351684041212390142620711224245496989784, 13763753091235186823820980417809918087043153, 8841761993790914541822136649662, 51090942171709440001, 25852143660672408302016, 13763753091226345078659207949922990586101351, 155210799557822809142151744883207, 13795351684050043263292813222643554686063665, 31598592841991533138894499286145021015806, 121, 121645100408832001, 6227020801, 25852016738884976640001, 13763753091226581810746891316589739276594225, 27157662529327683570097520640120, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 13795351684041201516784381993665954871529520, 13763753091226491473434439553509213233522433, 31598592823698232488043684037964469246103, 13763753091226345046315979581580902400000001, 13795351684178231938569680864867340360832687, 82037581340393914600615595251200, 25852138383985473755825, 39916801, 8852666375521735989710000510017, 10888869450418352160768000001, 13795351684050077059171263758726821604299566], 'label': '15944266600786427904000.a.372096._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035741
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [17892905753268798808415304538734693262, 5041, 42045587766765681200389234465410507291544321, 7, 42045587766765681200415135779669595058176713, 42045587766774533835768186711670603745162590, 17892905753253179643211520404720387326, 27168583716205422465543882986591, 122000787836928000, 8852666401373870959156293770470, 42045605659662592676038073999126691840000000, 51090942171709440001, 42045587766765692089284535107477117164892720, 17892896922380055353927562286976407080, 17892896922395540762923807140706363446, 42045587766765681184903874767042845488215703, 42045587766765692089258791931449706785213366, 121, 6227020801, 25852016738884976640001, 42045587766765692089338538232600707468476841, 1307674368001, 362881, 42045587766792827136443818809564822945854761, 15511210043330985984000001, 8841761993739701954543616000001, 42045587766765681200389283884220129329589041, 137064072074556269276315847209646, 355687428096001, 42045587767021798330995890714232591323561646, 42045587766765692073773325832790766903056046, 9135405977818942700677211217840, 17892896911506671263719767684508989110, 17892906046897137921405222203951723641, 42045587766774522946871813421557063685797166, 39916801, 8852666375471019374355511178302, 42045605659662592691575187271797789800718640, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035742
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [121646414310225847, 144105532218709379206011422560368311, 56542985672073826817129655820881494016362880, 28292749605868220261173724164189810659803105, 56542985697272882020333569280211703455882585, 5167, 28292749597563344025708986599357808640000000, 121645106635852926, 28292749605841096087937032145895523820874361, 42045587766893756906308310070698442567821230, 25852138383991612492806, 8222838670228918913417930955165942, 8841761993739702310231044096000, 70338337364329025226098270362289832623287817, 229141624621799182757830723563898008, 13795351684050054152701840083032805394089911, 121645100408832001, 28292749605795024441960776489061815270711016, 6227020801, 121645100408832006, 28292749597627099210886501875839253881199920, 56542985689068314034656036823943181439033727, 28292749597572185787702726422958766566249311, 28292749597572185803645552883226211966941671, 70338337364337866988092010185888162746765751, 56542985672073826817129655820881500243025846, 70338337356106186571946148473772874002902472, 13795351709249064960936321698041168558929846, 25852016740198917950646, 8222838669715036090739707328681647, 70338337356106197445278536949932686147432192, 13795351692272892806314283229416031097954553, 56542985680296665471333481868290209133292921, 56542985680296676375714142329973362112681647, 56542985757174487505213577037475588166720121, 25903229683152237292921, 42045587766774522962383023588792818532021550, 56542985790935112248878334154450794596190647], 'label': '15944266600786427904000.a.7752._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '7752.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '7752._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035743
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8954715920390921497613557023352, 5041, 13785009861007170276816634729060685821015806, 7, 13763753091235197712716767124665318747141063, 13785009860980339716031360985384237282054830, 21256769753701056699611940948149707852822, 21256769753701041188401777836981496989784, 13763753091235186823820980417809918087043153, 13785009860988955650292336142540589660572736, 21256769890720589615461931480076360832687, 8841761993790914541822136649662, 21256769762531914338594289256290686063665, 51090942171709440001, 25852143660672408302016, 13763753091226345078659207949922990586101351, 21256769753690167830163060278690871529520, 21256769780949202429990393074975101532840, 155210799557822809142151744883207, 13785009860988876976165783913812505269246103, 121, 121645100408832001, 6227020801, 25852016738884976640001, 13763753091226581810746891316589739276594225, 27157662529327683570097520640120, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 21256769762565710217044825339557604299566, 355687428096001, 13763753091226491473434439553509213233522433, 13763753091226345046315979581580902400000001, 25852138383985473755825, 82037581340393914600615595251200, 39916801, 8852666375521735989710000510017, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035744
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8954715920390921497613557023352, 5041, 13785009861007170276816634729060685821015806, 10341839506843610994084987257487360000001, 13795351684068460551384209326462239101532840, 7, 13785009860980339716031360985384237282054830, 13795351684041212390142620711224245496989784, 13795351684041212405653830874335413707852822, 13785009860988955650292336142540589660572736, 10341839515685388499085823486503047043153, 8841761993790914541822136649662, 10341839506990038112544959185798193522433, 51090942171709440001, 25852143660672408302016, 155210799557822809142151744883207, 13795351684050043263292813222643554686063665, 13785009860988876976165783913812505269246103, 121, 121645100408832001, 6227020801, 25852016738884976640001, 27157662529327683570097520640120, 362881, 1307674368001, 15511210043330985984000001, 10341839506843643337313355599575546101351, 8841761993739701954543616000001, 355687428096001, 13795351684041201516784381993665954871529520, 10341839507080375424996722266324236594225, 13795351684178231938569680864867340360832687, 82037581340393914600615595251200, 25852138383985473755825, 39916801, 8852666375521735989710000510017, 10341839515696277394872530341903707141063, 10888869450418352160768000001, 13795351684050077059171263758726821604299566], 'label': '15944266600786427904000.a.372096._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035745
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31598592815160972353620755609696482054830, 8954715920390921497613557023352, 5041, 31598592823776906614595912766048860572736, 10341839506843610994084987257487360000001, 7, 21256769753701056699611940948149707852822, 21256769753701041188401777836981496989784, 21256769890720589615461931480076360832687, 10341839515685388499085823486503047043153, 8841761993790914541822136649662, 21256769762531914338594289256290686063665, 10341839506990038112544959185798193522433, 51090942171709440001, 25852143660672408302016, 21256769753690167830163060278690871529520, 21256769780949202429990393074975101532840, 155210799557822809142151744883207, 31598592841991533138894499286145021015806, 121, 121645100408832001, 6227020801, 25852016738884976640001, 27157662529327683570097520640120, 362881, 1307674368001, 15511210043330985984000001, 10341839506843643337313355599575546101351, 8841761993739701954543616000001, 21256769762565710217044825339557604299566, 355687428096001, 31598592823698232488043684037964469246103, 10341839507080375424996722266324236594225, 25852138383985473755825, 82037581340393914600615595251200, 39916801, 8852666375521735989710000510017, 10341839515696277394872530341903707141063, 10888869450418352160768000001], 'label': '15944266600786427904000.a.372096._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035746
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 186048, 'diagramx': None, 'generators': [15511261134628851348556800, 39916806, 10888895302435446800233801553, 10888869501509651381317605262, 7, 70317071911257727135276915999523693862912007, 1313901388800, 121, 33505480493506434256107264006, 306069036766332371430796920, 98642037677933038759966817077414838059761841, 25852017114113841918736, 15537113273014144451112247, 248508197436944745628049461984, 6227020801, 15511210048962019624401233, 5041, 10888977513773631567139896241, 51090942171709440001, 10888869503559165629642196175, 25852016738884976640001, 122000787836928000, 15511261134274471595208263, 42045579075225257192004929013236926390639921, 355693655116800, 322713080257502951141517670, 10904406563691366305216681647, 33473271236077422261073474150, 15511210165331780485852504, 11211582581888792478243736912, 11114712775954147643352115320, 10888895353526388945207417168, 10904406564338762113679846401, 25852016740198878414727, 15537113151012042670080582, 362881, 10904406512856517841259352462, 10904406512482546671132028369], 'label': '15944266600786427904000.a.372096._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035747
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 186048, 'diagramx': None, 'generators': [304565145104962903990201245785, 74147926878245877737143910950792176369841, 10888869451443091745021296681, 5041, 10904380660583328300937205639, 7, 15537113151013356611788222, 11130277938153702849778912566, 33488782446120753240830085544, 42045587766774556420088938946560912429481526, 15511261255937873089948936, 33505454641610984784111365160, 16050888788501428450456326, 121, 10904406563691366305216681647, 10888869450418709202723877193, 121645100408832001, 6227020801, 25852016738884976640001, 51214846947187760208, 15511263440242198710400561, 362881, 1307674368001, 15511210043330985984000001, 15511261134273157994642497, 355687428096006, 15537113151013356611760136, 15537113151013356920640593, 1313903018182, 10888869450540365488826069743, 15511261134273157733362151, 39916806, 126870989897180968494621415768631272292772481, 51090942177936460800], 'label': '15944266600786427904000.a.372096._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035748
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 186048, 'diagramx': None, 'generators': [39916927, 13774094930742041614594051702401054049382809, 25852016738884976640120, 7, 13774094930742053035888995342136150005924607, 10904406563691364997542313646, 48340006726073006914882134, 15537113151013356611777136, 13774094930742030434948879875674786459621424, 51090942171709440001, 15537113151013356611765632, 377824689887384150639878, 10888869450540352948648082062, 15511261646471443258331392, 10888869501630940746828401142, 15511210164976092710198393, 5160, 121, 146475457823141178600843854783, 10904406563691366305216681647, 13774094930742030419329707378840849986409007, 121645100408832001, 6227020801, 13774094930742030419329707379603753264261183, 362886, 10888895353648034011558313647, 74121333678690784716629567607657394181166, 22584375933641976835535184431, 15511263306544083243888577, 10888895304094418840812689054, 13774094930742030419303804392793721253207807, 25852016738885327821751, 355687428101161, 25852138384058713814689, 98620763023514128421503126239914948161898886, 13774094930742041323710367840157143041101230], 'label': '15944266600786427904000.a.372096._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '372096.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '372096._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035750
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [141400013505994171659933387914811739245388927, 13774086247415569860960682202011732165572480, 8691549299228084010176633722026323776, 5041, 10341831292846718835804979167531049017905, 7, 15537062181714977596860720, 10888869501509294338744382767, 8852666400252180377889289176665, 10341831284015861196930057399509510741351, 13774094922519202669532445657779925798269518, 13763753091235197697179169823542397783521919, 8691540457466064418335919964160000000, 39916920, 70328004250342140184314143844681734465643000, 74121359417059963978208892934052908375801, 8691549299228084010054613399022360095, 141378756752704462990031128628619083170212487, 8691540457466090270474660950875354535, 1313901756841, 121, 8683326471462749685638865242681489407, 8691540457466090270478074149193263921, 6227020801, 8852650863190120306704384000000, 362881, 13774094930742041308173254689145094144000000, 10333156189224799107589469063086080000000, 121645106635857841, 113085971361106164059410730406740619535089961, 10341831292846718835754013250181603702614, 187815804931265733763182, 25852016738891204023800, 8222849543047373236077723648000000, 355693655121841, 13774094930733188689653236601938217603820927, 13763753091226355935211333107619718991719911, 51091297859177452920], 'label': '15944266600786427904000.a.406980._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '406980.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '406980._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035751
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '461890.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': 461890, 'diagramx': None, 'generators': [25852016738891243945647, 122000787836928000, 121, 10888895302435091045744640000, 7, 10341839515696277394388380578336192681647, 13763753091226345046315979581580902400000001, 355693695401647, 40284847, 21274671431114600971609843021518775735687, 8683326460573906138449832103360681647, 15537062060069870960640000, 13976481895566406622206296731618051764972921, 5167, 13763753091235186823846832435303518594258230, 6227388847, 1313941673647, 51212587272118272000, 8222838654203774956465235693568000, 363007, 8841761993790792896715325440000], 'label': '15944266600786427904000.a.461890.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '461890.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '461890.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035752
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [5160, 10351066062319318273720609351848374529862, 39916920, 74147918646576365946090888176103474544560, 63806087362729548696188882755310677054081, 21274662659454294881820624634475626461768, 10333156189235703488302942386486823898878, 74112141084422895391189152560945725440120, 1307674368120, 8683326460573880235220148944896000000, 10341831284038462296604585024015144766760, 21292572532537924638926711501497679107327, 35794025514287954846459428519200413230, 31598609791050387343982153514991915410496, 126, 74121325464693908043605525516246387819808, 44477334280448384521077569617920000000, 52855354345719244718644961345262708336431, 21256778507045415016609940653395392681527, 63788185721146401754853028741450945693502, 26593199565997427078035063819712681647, 10341831284027541217896615660366686448425, 10351057848322426063736567782814352461111, 74112132852742479219475547214020004437160, 10359749388790796534667382126131589610166, 10341839515685372987824689212030976000000, 21256786738714942292918812298182656000000, 21301255841439155795877367128955638101334, 8231680416171662519680106496000000, 63814778903017970787834449976360960000000, 42522206388174459031744635618005151414473, 363000, 63806087362560504723416114412084316816560, 35785793823014933091284301378786032047, 42513531293383412479571616207658352640120, 42558000395994333561931805396407109760001, 21292564300868397310811367685652342291886, 17918104785839718505338761419665732487, 63796869029923451647555326427797587020920, 10359749388779892128103812760600576000121, 31589926482262788265126468586178441341208, 8691540457466064418336275651588096120, 121645100408832120, 52864589124033219234456860811318259414321, 17909873275273806818097231720997253167], 'label': '15944266600786427904000.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: 12035753
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 969, 'diagramx': None, 'generators': [13763761782775926222959903406465662050805161, 13774086239192731206756856276605099012464345, 51212944273488041520, 10888869450418352160768000006, 10341839506843611019988216584952605476175, 8231691320578226211046411712681647, 5041, 13763761774552805635734291760790201564114225, 13774086239211272967316841343646707857637127, 40284721, 13763761774552805620681941511612591107031369, 7, 13774086247424422496287668437933422739856127, 13763761774543974762608987578553096211890047, 13774086239192731191272512892204233167182657, 357001369769520, 8841762019642931637702080681527, 121, 13763761774552805620222066940123523012835200, 13774086239192731191245646232918425600000000, 13774086239201572953428002041808107399419527, 6267305520, 13763761927366457092448090633858209392203526, 25852016738884976640006, 10341839515696277394388380578336192681647, 367920, 122002101778601521, 15511210043330985984000001, 10341831284015861197730360872088090738344, 10341831292846734321164921179599107435646, 10341831284015861196873849077689647600007, 17003328995057182765087409634492726, 13763761774552805635707476057649413114992870, 13774086247424422512283696045056296404869246, 25207886060791089713565656214096431, 1313941673521, 13763761774552805635707475936003011216472729], 'label': '15944266600786427904000.a.11628._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035754
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [5041, 10368950736403059636509746133745821771928, 8683326460573880235220148944896000000, 7, 28271510728929404098819964063142770840585032, 42035263845363635093517753465486511804841640, 28281825983998878737078210526348220364912047, 8691540468370445130010547384400041646, 42045605659662592676038073999126691840000000, 10888895302435091065733251609, 17909873094519140330336492843088041646, 42035290404593118037779719974887947317305743, 42045623561321690302994223525103385939261214, 13763770984123267441882543431184762378404774, 15511261256275259472041647, 42035272528672694059732799904418869878640295, 42035263845363635125860981833117218867440310, 8231680416171662519680106496000000, 28281861778024392975370050556968236394086526, 121, 13774104149065836599255427245367608262053047, 42035245927258848849967249824669862420740054, 6227020801, 121645100408832001, 35785793822982320102741649653760000000, 362881, 1307674368001, 13774104157297517015427038416897589885003935, 355687428096001, 26601413562889611261150834838976681647, 10377642276849765912896339036016041399038, 13774122024986565303843738097920904302199806, 13774112840606283176450343692386959360000000, 44477334280463921743582236271721040430, 28281825992230559088669445748717910695270527, 39916801, 42035263837131942997404877226277407853786665, 26601413551985230549476563106205845529, 13774094930733199916641805400606283114679623, 10341848269029762301390758855813896784414], 'label': '15944266600786427904000.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: 12035755
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10377634054282011321649202176699489470727, 15511261134273157693440000, 13774086247415580749830132882133020741973471, 8683326460573880235220148944896000000, 7, 13774086239192764680028092232027873695989350, 13763797585545661189055179793374571783320608, 363000, 51090942177936823681, 17918095944077698864574119296789405367, 13774122024986554189102813206154353859157345, 357001329847806, 25903108038051788912046, 13774112832392286493437234409737624247554775, 10359724180927513753423070594797846101430, 13763788894005193012244063086791012360113401, 8683326471478260897597253533544972943, 10888895302435091045744640000, 13763779675672792545476360579086021598221870, 13763770992354937211834192699985650560239070, 10904380660461683146791916920, 13763797585545650284674468235473907064832017, 13774094922510383508586783240451209135543800, 13774086239201572953239437538380272475979929, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13763770984132109188339221195110835068971750, 10351049095000636609106739796107295927807, 6227020801, 13774086239192731191245646232918425600000000, 35785793822982320102741649653760000000, 13763753116425366937645203985146318792132175, 8841761993739701954543616000001, 17909881936281159871732943215945569967, 1307674368127, 25903107681056686080000, 13763788902219189726305496199470717253469089, 13763797577322811630496596509049079855170254], 'label': '15944266600786427904000.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: 12035756
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [15511261134273157693440000, 10377617086680605510667245981286165405367, 8683326460573880235220148944896000000, 7, 13774086256168914219225874107287268728832017, 13774086239192764680028092232027873695989350, 363000, 13774086256168925123606585665187933447320608, 13774122024986554189102813206154353859157345, 51090942177936823681, 13774112823630100342104129248545386504113401, 357001329847806, 25903108038051788912046, 13774112832392286493437234409737624247554775, 25207874509929099802641895702101430, 13763788885251881950262386332249044911543800, 13763779692639897031520728644556739419979929, 8683326471478260897597253533544972943, 25208134488357046810675227745470727, 13774086256169150999168045574447952862221870, 10888895302435091045744640000, 13763770992354937211834192699985650560239070, 10904380660461683146791916920, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 10351049095000636609106739796107295927807, 6227020801, 13774086239192731191245646232918425600000000, 35785793822982320102741649653760000000, 13774112815416103465457006657008308168132175, 10377625300666593340040636347243849569967, 13774094947709382574159742862312694652971750, 13774112815416103271797196129683052869469089, 1307674368127, 10377625300666593314187728907141120000001, 13763779684425911043743057756767449157973471, 25903107681056686080000, 13763797577322811630496596509049079855170254], 'label': '15944266600786427904000.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: 12035815
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [5041, 13763753099458025462513545330944167360681831, 7, 15537062060069870960640000, 13763753091235197697179220917099904468874886, 10333147966397049336230221068599928869470, 8231680431682872685013188031599150, 13774086239201572953265290445431198772108801, 13774094930733199546367330792120502360374383, 8683317629700755945936546562048000000, 10333156198077465507892862382627549647286, 121646408083567920, 51090942171709440001, 8691549310164781990654302588968124721, 26576232834492618552156097365514409521, 10341831284004972353331655787535206640304, 13763753091235197697179169701887613014614624, 8231680416171662519680106496000000, 121, 6227020801, 25852016738884976640001, 13763753091235197697179169701887613011850528, 8852650863190120306704384000000, 1307674368001, 362881, 21292564309710159330452384256285094313641, 355687428096001, 10333147966397033799117069689683968000000, 13763753091226345046315979581580902400000001, 39916801, 10333147966397033799168160998701927172486, 13774086247424422496286759170971541928744550, 10333156198077465507892862382627375442264], 'label': '15944266600786427904000.a.651168._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '651168.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '651168._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035757
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10377634054282011321649202176699489470727, 15511261134273157693440000, 13774104140312481336583671634414651439170254, 10377617086680605510667245981286165405367, 8683326460573880235220148944896000000, 7, 13774094939486533289298868731736384384239070, 13774086239192764680028092232027873695989350, 13763797585545661189055179793374571783320608, 363000, 51090942177936823681, 13774122024986554189102813206154353859157345, 357001329847806, 25903108038051788912046, 13774112832392286493437234409737624247554775, 10359724180927513753423070594797846101430, 13763788894005193012244063086791012360113401, 13763788885251881950262386332249044911543800, 13763779692639897031520728644556739419979929, 8683326471478260897597253533544972943, 10888895302435091045744640000, 13763779675672792545476360579086021598221870, 10904380660461683146791916920, 13763797585545650284674468235473907064832017, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13763770984132109188339221195110835068971750, 13774086239192731191245646232918425600000000, 6227020801, 35785793822982320102741649653760000000, 10377625300666593340040636347243849569967, 13763753116425366937645203985146318792132175, 8700293824424214449468871794719927807, 1307674368127, 10377625300666593314187728907141120000001, 13763779684425911043743057756767449157973471, 25903107681056686080000, 13763788902219189726305496199470717253469089], 'label': '15944266600786427904000.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: 12035758
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13774104140312481336583671634414651439170254, 15511261134273157693440000, 13774086247415580749830132882133020741973471, 8683326460573880235220148944896000000, 7, 13774086256168914219225874107287268728832017, 13774086239192764680028092232027873695989350, 13774094939486533289298868731736384384239070, 363000, 13774086256168925123606585665187933447320608, 51090942177936823681, 17918095944077698864574119296789405367, 13774122024986554189102813206154353859157345, 13774112823630100342104129248545386504113401, 357001329847806, 25903108038051788912046, 13774112832392286493437234409737624247554775, 25207874509929099802641895702101430, 8683326471478260897597253533544972943, 25208134488357046810675227745470727, 13774086256169150999168045574447952862221870, 10888895302435091045744640000, 10904380660461683146791916920, 13774094922510383508586783240451209135543800, 13774086239201572953239437538380272475979929, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 6227020801, 35785793822982320102741649653760000000, 13774112815416103465457006657008308168132175, 8841761993739701954543616000001, 13774094947709382574159742862312694652971750, 17909881936281159871732943215945569967, 13774112815416103271797196129683052869469089, 8700293824424214449468871794719927807, 1307674368127, 25903107681056686080000], 'label': '15944266600786427904000.a.465120._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035759
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13763779675663950783482620877131471755201070, 15511261134273157693440000, 10368941983047781453545118152842569569966, 13763797577322811824130558604984105965745401, 10368933769061793624171727786884885405366, 8683326460573880235220148944896000000, 7, 13774086239192764680028092232027873695989350, 363000, 10377625309508355307927430861684736000000, 51090942177936823681, 13774122024986554189102813206154353859157345, 357001329847806, 13774112832392286493437234409737624247554775, 16985295834179123992949664865470726, 13774086264391763777784508482913496327320609, 13763797585536808538191991717665118533469088, 10359724189769275747162650904241053269430, 13763770984123267426345481493156297679992550, 10888895302435091045744640000, 13763770992354937211834192699985650560239070, 10904380660461683146791916920, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13774112815407261703463266955053764552132174, 10351049095000636609106739796107295927807, 6227020801, 13763779692648749697920980574848699466069471, 13774086239192731191245646232918425600000000, 35785793822982320102741649653760000000, 13774086264391752873403796925012831608832023, 10351066062330222628530969716244328972943, 10359749388779892154006920798652364912046, 13774094922519225270580522942405752751543801, 13763779684417058377342805826832484214347929, 1307674368127, 25903107681056686080000, 13763797577322811630496596509049079855170254], 'label': '15944266600786427904000.a.465120._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035760
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [15511261134273157693440000, 10368941983047781453545118152842569569966, 10368933769061793624171727786884885405366, 13763770992346095449840452998031106944239064, 8683326460573880235220148944896000000, 7, 13774086256168914219225874107287268728832017, 13774086239192764680028092232027873695989350, 363000, 10377625309508355307927430861684736000000, 13774086256168925123606585665187933447320608, 51090942177936823681, 13774122024986554189102813206154353859157345, 357001329847806, 13774112832392286493437234409737624247554775, 10359724180927513753423070594797846101430, 13763788894005193012244063086791012360113401, 25208134488357046810675227745470727, 10888895302435091045744640000, 13763779675672792545476360579086021598221870, 10904380660461683146791916920, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13763770984132109188339221195110835068971750, 13774086239192731191245646232918425600000000, 6227020801, 13763779692648749697920980574848699466069471, 35785793822982320102741649653760000000, 13774112815416103465457006657008308168132175, 13763788894005192818610100990854672348149454, 10351066062330222628530969716244328972943, 10359749388779892154006920798652364912046, 13774094922519225270580522942405752751543801, 1307674368127, 13763779684417058377342805826832484214347929, 10351049086158874615367037841563679927806, 25903107681056686080000, 13763788902219189726305496199470717253469089], 'label': '15944266600786427904000.a.465120._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035761
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280448384521077569617920000000, 5046, 44469120294460606850444742762431935150, 7, 42045605651448629289334333420491549708650881, 13774130716535853401623958103384765112382950, 28271510728938245781179376080782161205785905, 13774094922519383361265064747914026558232625, 28271528647025348081157480341121957558381959, 8691540457466064418335919964160000000, 42045605659662592676038073999126691840000000, 8683326471462775537655596992012840366, 44469120283588841426401356658654755121, 13774122033218403633764187388466903003196846, 26601413574569606482996893527429258584, 28271519420469861500329489948278978813578878, 28271510728929414907597459970642564626631183, 51090942171709440006, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 6227020806, 121645100408832006, 25852016738884976640006, 13774112832392286284266160576615940096000000, 362886, 1307674368006, 8841761993739701954543616000001, 28271528647034178969577013255233257348835326, 355687428096006, 8842149207652935911556722491744, 39916806, 15537113273014144448681641, 8231680416387580018000156903875137, 42045579100424245416482964906181733823981383, 42045596968122135209999509085452116102837241], 'label': '15944266600786427904000.a.465120._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035762
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280448384521077569617920000000, 42035281738260524000813557603637196085785905, 5046, 44469120294460606850444742762431935150, 42035245952457859271579150393564395773578878, 7, 13774130716535853401623958103384765112382950, 13774094922519383361265064747914026558232625, 8691540457466064418335919964160000000, 42035245952457859271579150393209962372835326, 8683326471462775537655596992012840366, 44469120283588841426401356658654755121, 13774122033218403633764187388466903003196846, 26601413574569606482996893527429258584, 51090942171709440006, 8231680416171662519680106496000000, 10904406563691366305216681647, 42035245944243862363857905095722663936000000, 126, 28281870478318217416336555780184779788650881, 6227020806, 121645100408832006, 25852016738884976640006, 13774112832392286284266160576615940096000000, 362886, 1307674368006, 8841761993739701954543616000001, 42035281738251693127231641493497599506631183, 355687428096006, 42035245952466711907147096883007749814381959, 28281852568436247645233304460896316863981383, 8842149207652935911556722491744, 39916806, 15537113273014144448681641, 8231680416387580018000156903875137, 28281834684292680512390201403964530822837241], 'label': '15944266600786427904000.a.465120._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035763
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280448384521077569617920000000, 42035281738260524000813557603637196085785905, 5046, 44469120294460606850444742762431935150, 7, 42045605651448629289334333420491549708650881, 13774094922519383361265064747914026558232625, 8691540457466064418335919964160000000, 42045605659662592676038073999126691840000000, 8683326471462775537655596992012840366, 44469120283588841426401356658654755121, 13774122033218403633764187388466903003196846, 26601413574569606482996893527429258584, 28271519420469861500329489948278978813578878, 28271510728929414907597459970642564626631183, 51090942171709440006, 10359749379938130134364110806056960000001, 10359741165941625164094228992050802491744, 8231680416171662519680106496000000, 13763779692639897031520728131991614136382950, 10904406563691366305216681647, 126, 6227020806, 121645100408832006, 25852016738884976640006, 13774112832392286284266160576615940096000000, 362886, 1307674368006, 28271528647034178969577013255233257348835326, 355687428096006, 42035245952466711907147096883007749814381959, 28281852568436247645233304460896316863981383, 39916806, 15537113273014144448681641, 8231680416387580018000156903875137, 42045596968122135209999509085452116102837241], 'label': '15944266600786427904000.a.465120._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035864
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [8231680416197565749363264920764841, 368046, 8691549299243595271310888652224681647, 51212587278385209607, 121, 13763761782766825096756280468889903912456545, 122000794103865600, 7, 8222838654177922939370663328753840, 10333156189224814644702742077224261744041, 25852017094578671673600, 6266937607, 13774086247424445128408961332709714011212927, 10904380660583328247200753846, 42056502697021369488196679913207397329008046, 5167, 28271492844255364670448364428789091477310641, 8222838669715035969094600692828847, 13774094930733199561716628260204688709744047, 26601422404636067938792719505405020721, 10888869450539997267403852801, 25852016738891203660921, 39921847], 'label': '15944266600786427904000.a.11628._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035764
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [13785018536083657118363148876916589229271271, 16976205644645279089336329427922230, 8231691320578226211046411712681647, 5046, 228383986779439368845346553281847, 7, 13795343009193109520133990808924634781811062, 8841761993790793252402793452921, 10341839671516838158222288417159143070086, 8396342739386862430630908864694912, 201259828489495951877658093884742, 13785018536083657118363146571306031525980470, 8332621074903191267270225994123000, 10341856501330828520465990320482417489961, 51090942171709440006, 13795343000723593578256178331979682722005097, 13795343025922615260440127900353904448956841, 10888895302435091045744640000, 13795343034676140341109342449152011986104446, 6227025840, 121645100408837040, 25852016738884976645040, 126, 10341839515696277394388380578336192681647, 13795343008955263121095452102477035532612607, 1307674373040, 367920, 15511210043330985984000006, 13785018536239488568482106516437560434738271, 355687428096006, 13785018536312661771080906723890925408542657, 13785018536083657118363146571306031525968929, 10341839506854499889387422349921379494278, 39916806, 13795343000869951726950757623548450701317534, 13795343008946421359075858846456586289577657], 'label': '15944266600786427904000.a.11628._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035765
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280448384521077569617920000000, 5046, 7, 42035245944235020617401227575838832893578758, 28281834692515519166568124221690093702837240, 28271510728938245781179376080782161205785905, 402725123277287999090491744, 13774094922519383361265064747914026558232625, 28271528647025348081157480341121957558381959, 8691540457466064418335919964160000000, 8683326471462775537655596992012840366, 44469120283588841426401356658654755121, 13774122033218403633764187388466903003196846, 26601413574569606482996893527429258584, 10368933769050889459426593261770983875137, 51090942171709440006, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 10359741157099475956441293080494080000000, 6227020806, 121645100408832006, 25852016738884976640006, 13774112832392286284266160576615940096000000, 28271537330351797781463508773427658628835327, 1307674368006, 362886, 28271510728938256669591199672597108242636223, 13763779684417058377342805314266051256382944, 355687428096006, 42045605651439787527340593718537006092650880, 39916806, 10359741157110380362953776024657855935150, 15537113273014144448681641, 42045605659671434438031813701081235456000001, 42045579100424245416482964906181733823981383], 'label': '15944266600786427904000.a.465120._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035766
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280448384521077569617920000000, 5046, 44469120294460606850444742762431935150, 42035245952457859271579150393564395773578878, 7, 28271510728938245781179376080782161205785905, 13774094922519383361265064747914026558232625, 28271528647025348081157480341121957558381959, 8691540457466064418335919964160000000, 42035245952457859271579150393209962372835326, 8683326471462775537655596992012840366, 44469120283588841426401356658654755121, 13774122033218403633764187388466903003196846, 26601413574569606482996893527429258584, 51090942171709440006, 10359749379938130134364110806056960000001, 10359741165941625164094228992050802491744, 8231680416171662519680106496000000, 13763779692639897031520728131991614136382950, 10904406563691366305216681647, 126, 28281870478318217416336555780184779788650881, 6227020806, 121645100408832006, 25852016738884976640006, 13774112832392286284266160576615940096000000, 362886, 1307674368006, 42035281738251693127231641493497599506631183, 355687428096006, 39916806, 15537113273014144448681641, 8231680416387580018000156903875137, 42045605659671434438031813701081235456000001, 42045579100424245416482964906181733823981383, 28281834684292680512390201403964530822837241], 'label': '15944266600786427904000.a.465120._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035767
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280448384521077569617920000000, 5046, 42045605651448629289334333420491549708650881, 42035245952457859271579150393564395773578878, 7, 28271510728929404019185636378827617589785911, 402725123277287999090491744, 42045579092201406762305042088457478618349383, 13774094922519383361265064747914026558232625, 8691540457466064418335919964160000000, 42045605659662592676038073999126691840000000, 8683326471462775537655596992012840366, 44469120283588841426401356658654755121, 13774122033218403633764187388466903003196846, 26601413574569606482996893527429258584, 10368933769050889459426593261770983875137, 28271510728929414907597459970642564626631183, 51090942171709440006, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 10359741157099475956441293080494080000000, 6227020806, 121645100408832006, 25852016738884976640006, 13774112832392286284266160576615940096000000, 28271537330342966893043975859316358878298759, 362886, 1307674368006, 28271528647034178969577013255233257348835326, 13763779684417058377342805314266051256382944, 355687428096006, 39916806, 10359741157110380362953776024657855935150, 15537113273014144448681641, 28281834684292680512390201403964530822837241], 'label': '15944266600786427904000.a.465120._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035768
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [35794016661636498078955929259994429214, 5041, 8683326460573880235220148944896000000, 7, 28281825983998878737078210526348220364912047, 8691540468370445130010547384400041646, 42035263837140796439339830647760948924841641, 17909873094519140330336492843088041646, 13774104157288675253433350063093171142053046, 13774130708304184115730233616115305582199807, 15511261256275259472041647, 42035263837131932108535477899238550280784414, 13774094930742041678635545102560826690762823, 42035263845363635125860981833117218867440310, 42035245927267690627472199569955392020740054, 8231680416171662519680106496000000, 28281861778024392975370050556968236394086526, 42035281713061502462816260942409394605495038, 121, 6227020801, 121645100408832001, 35785793822982320102741649653760000000, 8852650889042137045609349251608, 13774094930733188737402019201692858520585032, 362881, 1307674368001, 8841761993739701954543616000001, 42035281721275499225893224456693546037305737, 42035263845354781651582800044002970733791705, 355687428096001, 26601413562889611261150834838976681647, 13774112840606283176450343692386959360000000, 28281834675548188804962295227454539274404775, 44477334280463921743582236271721040430, 28281825992230559088669445748717910695270527, 13774104149074678361249115599172027005003934, 39916801, 26601413551985230549476563106205845529, 42035272520449844516685426668341146230640295, 42035281721284351876782215502796963997771928], 'label': '15944266600786427904000.a.465120._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035769
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42045605659671445326927116136172301189251608, 5041, 8683326460573880235220148944896000000, 7, 10368950745233932734998103939415093305737, 28281825983998878737078210526348220364912047, 10333164951704546678348491569607286640295, 10359732412608155742398286993328660740054, 8691540468370445130010547384400041646, 10368958959230954026400821197302189495038, 28271537330351808896204435715064204398199807, 17909873094519140330336492843088041646, 28271501544557985672475845738962338758053046, 28271501536326305256304131871132107389003934, 15511261256275259472041647, 42035263837131932108535477899238550280784414, 42035263845363635125860981833117218867440310, 28271510728938257040053489964010739010762823, 8231680416171662519680106496000000, 28281861778024392975370050556968236394086526, 121, 6227020801, 121645100408832001, 35785793822982320102741649653760000000, 13774094930733188737402019201692858520585032, 362881, 1307674368001, 13763770984132109203876283133139305994404775, 355687428096001, 26601413562889611261150834838976681647, 10341848260210569118264103469125308841641, 10341856491879305348712903620234349791705, 13774112840606283176450343692386959360000000, 44477334280463921743582236271721040430, 28281825992230559088669445748717910695270527, 42045614878004071491107727885263884250429214, 39916801, 26601413551985230549476563106205845529, 42045605659671434438031813701081235456000001, 42035281721284351876782215502796963997771928], 'label': '15944266600786427904000.a.465120._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035770
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42035263837140796439339830647760948924841641, 13763788893996361960996970660791776618086526, 28271501536326305256304131871132107389003934, 13774094930733188737402019201692858520585032, 13763779667449717111356424690791479975270527, 28271510728938257040053489964010739010762823, 35785793822982320102741649653760000000, 7, 121, 28271537330351808896204435715064204398199807, 1307674368001, 39916801, 44477334280463921743582236271721040430, 121645100408832001, 10368950736403059636509746133745821771928, 13763779675663714068121035103872915404912047, 42045605659671445326927116136172301189251608, 6227020801, 8231680416171662519680106496000000, 5041, 26601413562889611261150834838976681647, 8683326460573880235220148944896000000, 10341856483049255639415288825395251440310, 28281834675548188804962295227454539274404775, 42035245927267690627472199569955392020740054, 42035263845354781651582800044002970733791705, 8691540468370445130010547384400041646, 26601413551985230549476563106205845529, 355687428096001, 10341848269029762301390758855813896784414, 28271501544557985672475845738962338758053046, 17909873094519140330336492843088041646, 42035281713061502462816260942409394605495038, 42035281721275499225893224456693546037305737, 15511261256275259472041647, 13774112840606283176450343692386959360000000, 42035272520449844516685426668341146230640295, 42045614878004071491107727885263884250429214, 362881, 42045605659671434438031813701081235456000001], 'label': '15944266600786427904000.a.465120._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035816
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [5041, 7, 10333156198066561101329171038478760744550, 8841761993790917166841300874886, 15537062060069870960640000, 10333147966397049336230221068599928869470, 8231680431682872685013188031599150, 8683317629700755945936546562048000000, 10333156198077465507892862382627549647286, 121646408083567920, 26576232834492618552156097365514409521, 8841761993739701954549843850528, 8691549310164781990654302588968124721, 51090942171709440001, 10341831284004972353331655787535206640304, 10333147975238795818761282202457140108801, 8841761993739701954549846614624, 8231680416171662519680106496000000, 121, 6227020801, 25852016738884976640001, 8231691305067016167715425728681831, 8852650863190120306704384000000, 1307674368001, 362881, 21292564309710159330452384256285094313641, 355687428096001, 10333147966397033799117069689683968000000, 39916801, 10341839506843611181900792187439192374383, 10333147966397033799168160998701927172486, 10333156198077465507892862382627375442264, 10888869450418352160768000001], 'label': '15944266600786427904000.a.651168._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '651168.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '651168._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035771
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [5041, 8683326460573880235220148944896000000, 7, 10377634054021871523005264328147101771929, 28271510728929404098819964063142770840585032, 8691540468370445130010547384400041646, 10368958959230954026400821197302189495038, 42035263837140796471683059015391655987440304, 42035263837140796439339830647760948924841641, 42045605659662592676038073999126691840000000, 10888895302435091065733251609, 17909873094519140330336492843088041646, 42045623561321690302994223525103385939261214, 15511261256275259472041647, 28281870461342011787256546075162637674086527, 42035245927267690627472199569955392020740054, 8231680416171662519680106496000000, 121, 13774104149065836599255427245367608262053047, 28281825992221717326675706046763367079270526, 6227020801, 121645100408832001, 35785793822982320102741649653760000000, 362881, 1307674368001, 42035281721275499225893224456693546037305737, 13774104157297517015427038416897589885003935, 13763770984132109203876283133139305994404775, 42035263845354781651582800044002970733791705, 355687428096001, 26601413562889611261150834838976681647, 13774122024986565303843738097920904302199806, 13774112840606283176450343692386959360000000, 44477334280463921743582236271721040430, 10341856491868416479313576581376776784415, 39916801, 28281825984007720499071950228302763980912046, 26601413551985230549476563106205845529, 42035272520449844516685426668341146230640295, 13774094930733199916641805400606283114679623], 'label': '15944266600786427904000.a.465120._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035772
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42045605659671445326927116136172301189251608, 5046, 8683326460573880235220148944896000000, 17909873094534651489166879555584000006, 28271537330351808896204435715064204398199807, 28271528630058006830440383782477696109791705, 28271528630058007217654245547749706260740054, 13774086247424411622954531257265185897040430, 28271501544557985672475845738962338758053046, 8708525493160419046375435728234086526, 28271501519358975685770067460825878204841641, 17901119761049744486788973215901771928, 28271501536326305256304131871132107389003934, 28271510728938257040053489964010739010762823, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 42045605676638775848636782609611254189495038, 8231680416171662519680106496000007, 35785793822982320102741649653760000000, 6227020806, 121645100408832006, 13774094930733188737402019201692858520585032, 28271510754137267478391160958966103093305737, 17909873105423520990798175989840041641, 362886, 1307674368006, 355687428096006, 28271492836032786139342672445017272950640295, 13774112840606283176450343692386959360000000, 13774104132098507061064539854541961267440310, 28271510745905597951114749661791077898404775, 25199021682158309088686111399270527, 42045614878004071491107727885263884250429214, 39916806, 35802778847836874656011875162060912047, 17909873094519140330214490741309440006, 17892905753268665052207424973576784414, 26601413551985230549476563106205845529, 42045605659671434438031813701081235456000001], 'label': '15944266600786427904000.a.465120._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035773
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42045587766774522962383023464902011656784414, 42045605659671445326927116136172301189251608, 13774122041962748105926637188976282733791705, 5046, 8683326460573880235220148944896000000, 17909873094534651489166879555584000006, 13774122041962748493140498954248292884740054, 25207863588770371130164668845495038, 13774104140321345682899234304636817084841641, 42045605676647617466012199972041783975270527, 28271537330351808896204435715064204398199807, 13774086247424411622954531257265185897040430, 28271501544557985672475845738962338758053046, 28271501527581814372291218646182148147440310, 13774094947709371700801553577836084277305737, 28271501536326305256304131871132107389003934, 28271510728938257040053489964010739010762823, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 8231680416171662519680106496000007, 35785793822982320102741649653760000000, 42045596993321167796512466818493511018086526, 6227020806, 121645100408832006, 13774094939495385697512621684570146314404775, 13774094930733188737402019201692858520585032, 17909873105423520990798175989840041641, 362886, 1307674368006, 42045614869241885419892215667304339404912047, 355687428096006, 13774112840606283176450343692386959360000000, 13774112823630393760244830325217014390640295, 42045614878004071491107727885263884250429214, 39916806, 17909873094519140330214490741309440006, 26601413551985230549476563106205845529, 42045587758542853435106612410999128221771928, 42045605659671434438031813701081235456000001], 'label': '15944266600786427904000.a.465120._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035774
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [35794016661636498078955929259994429214, 42045587766774522962383023464902011656784414, 5046, 8683326460573880235220148944896000000, 17909873094534651489166879555584000006, 42045605676647617466012199972041783975270527, 28271528630058006830440383782477696109791705, 28271528630058007217654245547749706260740054, 13774086247424411622954531257265185897040430, 13774104157288675253433350063093171142053046, 28271501527581814372291218646182148147440310, 13774130708304184115730233616115305582199807, 28271501519358975685770067460825878204841641, 13774094930742041678635545102560826690762823, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 42045605676638775848636782609611254189495038, 8231680416171662519680106496000007, 35785793822982320102741649653760000000, 42045596993321167796512466818493511018086526, 6227020806, 121645100408832006, 8852650889042137045609349251608, 13774094930733188737402019201692858520585032, 28271510754137267478391160958966103093305737, 17909873105423520990798175989840041641, 362886, 1307674368006, 8841761993739701954543616000001, 42045614869241885419892215667304339404912047, 355687428096006, 28271492836032786139342672445017272950640295, 13774112840606283176450343692386959360000000, 28271510745905597951114749661791077898404775, 13774104149074678361249115599172027005003934, 39916806, 17909873094519140330214490741309440006, 26601413551985230549476563106205845529, 42045587758542853435106612410999128221771928], 'label': '15944266600786427904000.a.465120._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035775
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [8852666374400163993384459753888, 13763761782775926222959903406465662050805161, 10333147966397049311234842677686810738350, 51212944273488041520, 10888869450418352160768000006, 13763761774543963858714002735055920036437041, 8231691320578226211046411712681647, 5041, 13763761782775655163269491267135041980217910, 13763761774552805635734291760790201564114225, 40284721, 13763761774552805620681941511612591107031369, 7, 13774094922510350003159008410398634447182663, 10333156198077465507892862383934912681646, 13774094930742041308174163956127824019856126, 13774095083564512780165276200171505920091560, 10333147975227922434669402985197827435647, 13763761774543974762608987578553096211890047, 13763761782794196923777772300698868418805160, 357001369769520, 8841762019642931637702080681527, 121, 6267305520, 25852016738884976640006, 367920, 122002101778601521, 15511210043330985984000001, 13763761782775655178780701310821715392681647, 10333173183701127764571266004191198188920, 13774094930733199561690776121827784493277486, 13763761774552805635707476057649413114992870, 10333147966397049310378330883288367600006, 13763761782766813416923771500437581158645800, 25207886060791089713565656214096431, 1313941673521, 13763761774552805635707475936003011216472729], 'label': '15944266600786427904000.a.11628._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035776
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28271537313375625642326879300672097389786665, 5046, 28271510745914428824213238141240540213305743, 8683326460573880235220148944896000000, 28271510728929404098819964063142770840585032, 28271501519350133923776327758871334588841640, 17909873094534651489166879555584000006, 16985024934592448312083418537399038, 42045587775527867320674118356196760125440006, 42045605676647617466012199972041783975270527, 42045605659662592676038073999126691840000000, 10888895302435091065733251609, 42045623561321690302994223525103385939261214, 13774086247424411622954531257265185897040430, 28271501527581814372291218646182148147440310, 17901119761049744486788973215901771928, 13774094947718224351690544502295709194404774, 8231680416171662519680106496000000, 10904406563691366305216681647, 13774104149065836599255427245367608262053047, 126, 8231680416171662519680106496000007, 35785793822982320102741649653760000000, 121645100408832006, 6227020806, 42045596993321167796512466818493511018086526, 362886, 1307674368006, 13774104157297517015427038416897589885003935, 355687428096006, 42045614869241885419892215667304339404912047, 13774122024986565303843738097920904302199806, 28271537313375626014029531022613121556740054, 13774112840606283176450343692386959360000000, 42045587775527878225054778939882008656041641, 28271492836041638790205862565323977334640295, 39916806, 17892905753268665052207424973576784414, 26601413551985230549476563106205845529, 13774094930733199916641805400606283114679623], 'label': '15944266600786427904000.a.465120._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035777
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [5046, 8683326460573880235220148944896000000, 42045605668424778811834277154316221095270526, 28271510728929404098819964063142770840585032, 17909873094534651489166879555584000006, 42045587775527867320674118356196760125440006, 25207863588770371130164668845495038, 42045605659662592676038073999126691840000000, 10888895302435091065733251609, 42045623552559504231778711185498740684912046, 28271528630058006830440383782477696109791705, 28271528630058007217654245547749706260740054, 42045623561321690302994223525103385939261214, 13774086247424411622954531257265185897040430, 28271501519358975685770067460825878204841641, 8231680416171662519680106496000000, 10904406563691366305216681647, 13774104149065836599255427245367608262053047, 17892896911506671312505470429960784415, 126, 8231680416171662519680106496000007, 35785793822982320102741649653760000000, 121645100408832006, 6227020806, 13774094939495385697512621684570146314404775, 28271510754137267478391160958966103093305737, 362886, 1307674368006, 17901128602811738226490927759517771929, 13774104157297517015427038416897589885003935, 355687428096006, 42045596985098329142334544000767948138086527, 28271492836032786139342672445017272950640295, 13774122024986565303843738097920904302199806, 28271501527572972610297478944227604531440304, 13774112840606283176450343692386959360000000, 42045587775527878225054778939882008656041641, 39916806, 26601413551985230549476563106205845529, 13774094930733199916641805400606283114679623], 'label': '15944266600786427904000.a.465120._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035778
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13774122050194440202039513428185386684841641, 44469120294460606901653164903872681647, 44477334280448384521077569617920000000, 5041, 28281843876895801293935665204978650222199807, 28281861786768895571667457094075007942053046, 8683326471478260946894776365136041646, 13774122033218234605274633998914839657040430, 13774122041962748105926637188976282733791705, 8683326460573880235220148944896000000, 7, 28281825983998878737078210526348220364912047, 25207863588770371130164668845495038, 13774112823630100163981377195937168437305737, 13774086256168925510820396212598639124740054, 42035245952466701018035827913448226816000001, 28281843885127470579829391997859975130429214, 42035263845363635125860981833117218867440310, 8231680416171662519680106496000000, 28281861778024392975370050556968236394086526, 121, 6227020801, 121645100408832001, 13774094939495385697512621684570146314404775, 362881, 1307674368001, 13774112832392286299777370619946926080000001, 28281861795000575987839068265604989565003934, 355687428096001, 28281834692515530425874011631212598594762823, 42035281713052660571715301517339634440784414, 13774086247424411607417308752598532096000000, 13774112840606283256542298325241428120585032, 28281825992230559088669445748717910695270527, 39916801, 35794025503398491816352271931965440001, 26601413551985230549476563106205845529, 42035245944235031490759467828859186053251608, 13774130733503488279385109448765583990640295, 42035281721284351876782215502796963997771928], 'label': '15944266600786427904000.a.465120._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035779
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42035263837140796439339830647760948924841641, 44469120294460606901653164903872681647, 13774112832392286299777370619946926080000001, 44477334280448384521077569617920000000, 26584446221623598869993536812394086526, 35794025503398491816352271931965440001, 7, 121, 13774122041971601580204818978090530867440310, 42035245952466701018035827913448226816000001, 1307674368001, 39916801, 121645100408832001, 6227020801, 8231680416171662519680106496000000, 5041, 13774122033218234605274633998914839657040430, 28281834692515530425874011631212598594762823, 8683326460573880235220148944896000000, 28281834675548188804962295227454539274404775, 42035245944235031490759467828859186053251608, 17892905753268665052207424973576784414, 28281861795000575987839068265604989565003934, 42035245927267690627472199569955392020740054, 42035263845354781651582800044002970733791705, 28281861786768895571667457094075007942053046, 8683326471478260946894776365136041646, 26601413551985230549476563106205845529, 355687428096001, 28281843885127470579829391997859975130429214, 42035281721275499225893224456693546037305737, 17901119761049744486788973215901771928, 28281843876895801293935665204978650222199807, 13774112840606283256542298325241428120585032, 42035272520449844516685426668341146230640295, 42035245927267679480496158200759740845495038, 362881, 25199021682158309088686111399270527, 13774086247424411607417308752598532096000000, 16985024854554553270225508300912047], 'label': '15944266600786427904000.a.465120._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035780
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13774094947718224351690544502295709194404774, 44469120294460606901653164903872681647, 13774112832392286299777370619946926080000001, 44477334280448384521077569617920000000, 35794025503398491816352271931965440001, 13774104157297517015427038416897589885003935, 16985024934592448312083418537399038, 28281825992230559088669445748717910695270527, 13774094930733199916641805400606283114679623, 7, 42035245927258848849967249824669862420740054, 121, 10888895302435091065733251609, 1307674368001, 42035245944243862363857905095722663936000000, 39916801, 121645100408832001, 13774104149065836599255427245367608262053047, 28281861778024392975370050556968236394086526, 6227020801, 8231680416171662519680106496000000, 5041, 42035290404593118037779719974887947317305743, 13774122033218234605274633998914839657040430, 42035263845363635125860981833117218867440310, 8683326460573880235220148944896000000, 17892905753268665052207424973576784414, 42035263837131942997404877226277407853786665, 42035272528672694059732799904418869878640295, 13774122024986565303843738097920904302199806, 8683326471478260946894776365136041646, 26601413551985230549476563106205845529, 355687428096001, 17901119761049744486788973215901771928, 28281843885118628817835652417550531923261214, 28281825983998878737078210526348220364912047, 42035281738251682318454145585997805720585032, 362881, 13774086247424411607417308752598532096000000, 42035263845363635093517753465486511804841640], 'label': '15944266600786427904000.a.465120._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035781
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42035263837140796439339830647760948924841641, 44469120294460606901653164903872681647, 13774112832392286299777370619946926080000001, 13774094939495385697512621684570146314404775, 44477334280448384521077569617920000000, 28281825992221717326675706046763367079270526, 35794025503398491816352271931965440001, 13774104157297517015427038416897589885003935, 13774094930733199916641805400606283114679623, 7, 121, 10888895302435091065733251609, 1307674368001, 28281870461342011787256546075162637674086527, 42035245944243862363857905095722663936000000, 39916801, 121645100408832001, 13774104149065836599255427245367608262053047, 6227020801, 8231680416171662519680106496000000, 5041, 13774122033218234605274633998914839657040430, 8683326460573880235220148944896000000, 17892896911506671312505470429960784415, 42035245927267690627472199569955392020740054, 42035263845354781651582800044002970733791705, 13774122024986565303843738097920904302199806, 8683326471478260946894776365136041646, 26601413551985230549476563106205845529, 355687428096001, 42035263837140796471683059015391655987440304, 17901128602811738226490927759517771929, 42035281721275499225893224456693546037305737, 28281825984007720499071950228302763980912046, 28281843885118628817835652417550531923261214, 42035272520449844516685426668341146230640295, 42035281738251682318454145585997805720585032, 25207863588770371130164668845495038, 362881, 13774086247424411607417308752598532096000000], 'label': '15944266600786427904000.a.465120._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035782
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [1307674368006, 39916806, 13774094922519191765125881453067370496000000, 121645100408832006, 6227020806, 10359732412608155742398286993328660740054, 28271501527581814372291218646182148147440310, 5046, 13774086239192731191245646232918425600000007, 42045596993321167796512466818493511018086526, 8691540457466064469426862135869440006, 42035245944235020601864165393768120320000001, 13763770984132109203876283133139305994404775, 355687428096006, 8231680416171662519680106496000000, 10368958959230954026400821197302189495038, 10333164951704546678348491569607286640295, 17909873094534677501628215223401040430, 10359732412607768528536521721318509791705, 8691540457466064418335919964160000000, 28281834692515530425874011631212598594762823, 42035245944235031490759467828859186053251608, 42045587766774522962383023464902011656784414, 26593199565997427078035063819712681647, 28281861795000575987839068265604989565003934, 17909873094519140279123548569600000000, 28281861786768895571667457094075007942053046, 362886, 26601413551985230549476563106205845529, 42045614869241885419892215667304339404912047, 10341848260210569118264103469125308841641, 13774086247424422511798020427225952336041641, 28281843885127470579829391997859975130429214, 28281843876895801293935665204978650222199807, 13774112840606283256542298325241428120585032, 42045605676647617466012199972041783975270527, 42045605668415947954246891534547697821771928, 126, 10368950745233932734998103939415093305737, 17918104774950823151686559662080000006], 'label': '15944266600786427904000.a.465120._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035783
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28281861786768895571667457094075007942053046, 28281843876895801293935665204978650222199807, 5046, 10368950736403059636509746133745821771928, 13763788893996361960996970660791776618086526, 13763779675663714068121035103872915404912047, 13763797577322811630496703814340049575270527, 26593199565997427078035063819712681647, 28271528621826326414294573279892162058404775, 13774094922519191765125881453067370496000000, 17918104774950823151686559662080000006, 8691540457466064418335919964160000000, 8691540457466064469426862135869440006, 28271528630058006830440383782477696109791705, 28271528630058007217654245547749706260740054, 13774086247424422511798020427225952336041641, 28271501519358975685770067460825878204841641, 17909873094519140279123548569600000000, 28281843885127470579829391997859975130429214, 17909873094534677501628215223401040430, 8231680416171662519680106496000000, 13774086239192731191245646232918425600000007, 126, 42045605676638775848636782609611254189495038, 121645100408832006, 6227020806, 28271510754137267478391160958966103093305737, 362886, 1307674368006, 28281861795000575987839068265604989565003934, 28281834692515530425874011631212598594762823, 355687428096006, 28271492836032786139342672445017272950640295, 13774112840606283256542298325241428120585032, 39916806, 26601413551985230549476563106205845529, 42035245944235020601864165393768120320000001, 42035245944235031490759467828859186053251608, 10341856483049255639415288825395251440310, 10341848269029762301390758855813896784414], 'label': '15944266600786427904000.a.465120._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035784
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28271537313375625642326879300672097389786665, 5046, 10368950736403059636509746133745821771928, 28271510745914428824213238141240540213305743, 28271501519350133923776327758871334588841640, 42045605676647617466012199972041783975270527, 28281852560213419879950735291186531776681647, 13774094922519191765125881453067370496000000, 8691540457466064418335919964160000000, 10888895302435091065733251609, 8691540457466064469426862135869440006, 28271501527581814372291218646182148147440310, 13763770984123267441882543431184762378404774, 17909873094519140279123548569600000000, 17909873094534677501628215223401040430, 8231680416171662519680106496000000, 13774086239192731191245646232918425600000007, 13774104149065836599255427245367608262053047, 42035245944243862363857905095722663936000000, 126, 121645100408832006, 6227020806, 42045596993321167796512466818493511018086526, 362886, 1307674368006, 13774104157297517015427038416897589885003935, 355687428096006, 42045614869241885419892215667304339404912047, 28281870478318183926367323286379888640000006, 10377642276849765912896339036016041399038, 42035281738251682318454145585997805720585032, 13774122024986565303843738097920904302199806, 28271537313375626014029531022613121556740054, 42035245944243873268238616770350084176041641, 28281843885118628817835652417550531923261214, 28271492836041638790205862565323977334640295, 39916806, 26601413551985230549476563106205845529, 13774094930733199916641805400606283114679623, 10341848269029762301390758855813896784414], 'label': '15944266600786427904000.a.465120._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035785
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [5046, 10377634054021871523005264328147101771929, 42045605668424778811834277154316221095270526, 28281852560213419879950735291186531776681647, 13774094922519191765125881453067370496000000, 10368958959230954026400821197302189495038, 8691540457466064418335919964160000000, 10888895302435091065733251609, 8691540457466064469426862135869440006, 42045623552559504231778711185498740684912046, 28271528630058006830440383782477696109791705, 28271528630058007217654245547749706260740054, 28271501519358975685770067460825878204841641, 17909873094519140279123548569600000000, 17909873094534677501628215223401040430, 8231680416171662519680106496000000, 13774086239192731191245646232918425600000007, 13774104149065836599255427245367608262053047, 42035245944243862363857905095722663936000000, 126, 121645100408832006, 6227020806, 28271510754137267478391160958966103093305737, 362886, 1307674368006, 13774104157297517015427038416897589885003935, 13763770984132109203876283133139305994404775, 355687428096006, 42045596985098329142334544000767948138086527, 28271492836032786139342672445017272950640295, 28281870478318183926367323286379888640000006, 42035281738251682318454145585997805720585032, 13774122024986565303843738097920904302199806, 28271501527572972610297478944227604531440304, 42035245944243873268238616770350084176041641, 10341856491868416479313576581376776784415, 28281843885118628817835652417550531923261214, 39916806, 26601413551985230549476563106205845529, 13774094930733199916641805400606283114679623], 'label': '15944266600786427904000.a.465120._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035786
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [8852666374400163993384459753888, 13763761782775926222959903406465662050805161, 51212944273488041520, 10888869450418352160768000006, 13763761774543963858714002735055920036437041, 8231691320578226211046411712681647, 5041, 13763761782775655163269491267135041980217910, 13763761774552805635734291760790201564114225, 40284721, 13763761774552805620681941511612591107031369, 7, 13763753091226345061853899938979443100003761, 8700320947806943678283281810914492727, 13763753099458036366869265993260794955429256, 8691540468354959722564428881444769840, 13763753091235186808335571421929121732835201, 13763753244048838280561595115663808112203527, 13763761774543974762608987578553096211890047, 8683317618811886495518194401280000001, 13763761782794196923777772300698868418805160, 357001369769520, 8841762019642931637702080681527, 121, 6267305520, 25852016738884976640006, 367920, 122002101778601521, 15511210043330985984000001, 13763761782775655178780701310821715392681647, 8691549299228084010060245740339178281, 13763761774552805635707476057649413114992870, 13763761782766813416923771500437581158645800, 25207886060791089713565656214096431, 1313941673521, 8691549299228084866814616349475611745, 13763761774552805635707475936003011216472729], 'label': '15944266600786427904000.a.11628._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035787
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44469120294460606901653164903872681647, 5041, 13763788885251859333677246731811275718053046, 8691540457466064469548864237648041646, 8683326460573880235220148944896000000, 7, 13763797560346639861848058375147394370762823, 10359741165952126845483430126103429251608, 42045605676647617466012199972041783975270527, 42035263837140796439339830647760948924841641, 13763761774552805620196268198283890650429214, 28271501527581814372291218646182148147440310, 13763779684425911269614483048631241838199807, 17909873105423520939585231716352000000, 10359749379938130134364110806056960000001, 15511261256275259472041647, 42035281713061513222604292563427608074404775, 42035245927267690627472199569955392020740054, 8231680416171662519680106496000000, 121, 42035281713061502462816260942409394605495038, 6227020801, 121645100408832001, 42045596993321167796512466818493511018086526, 13774094930733188737402019201692858520585032, 362881, 1307674368001, 28271528621835157287393061637713275656784414, 42035281721275499225893224456693546037305737, 42035263845354781651582800044002970733791705, 355687428096001, 35794025503398491765261329760256000000, 42045614869241885419892215667304339404912047, 13774112840606283176450343692386959360000000, 13763788877020178917505532863981044349003934, 39916801, 26601413551985230549476563106205845529, 42045587758542853435106612410999128221771928, 42035272520449844516685426668341146230640295, 13774130708313014762983206699383678057040430], 'label': '15944266600786427904000.a.465120._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035788
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44469120294460606901653164903872681647, 5041, 13763788885251859333677246731811275718053046, 8691540457466064469548864237648041646, 8683326460573880235220148944896000000, 7, 13763797560346639861848058375147394370762823, 28281825983998878737078210526348220364912047, 10359741165952126845483430126103429251608, 13763761774552805620196268198283890650429214, 28271528630058006830440383782477696109791705, 28271528630058007217654245547749706260740054, 13763779684425911269614483048631241838199807, 28271501519358975685770067460825878204841641, 17909873105423520939585231716352000000, 10359749379938130134364110806056960000001, 15511261256275259472041647, 42035263837131932108535477899238550280784414, 28271492844264173088358101436904401325495038, 42035263845363635125860981833117218867440310, 8231680416171662519680106496000000, 28281861778024392975370050556968236394086526, 121, 6227020801, 121645100408832001, 13774094930733188737402019201692858520585032, 28271510754137267478391160958966103093305737, 362881, 1307674368001, 355687428096001, 35794025503398491765261329760256000000, 28271492836032786139342672445017272950640295, 13774112840606283176450343692386959360000000, 13763788877020178917505532863981044349003934, 28281825992230559088669445748717910695270527, 39916801, 28271510745905597951114749661791077898404775, 26601413551985230549476563106205845529, 28281843893871984096044416434772394141771928, 13774130708313014762983206699383678057040430], 'label': '15944266600786427904000.a.465120._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035789
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10333156189224799133441486157658525845529, 44469120294460606901653164903872681647, 5041, 28271510745914428824213238141240540213305743, 8691540457466064469548864237648041646, 8683326460573880235220148944896000000, 7, 28271501519350133923776327758871334588841640, 13763779692648749923792405866356804718199806, 10888895302435091065733251609, 28271501527581814372291218646182148147440310, 17909873105423520939585231716352000000, 15511261256275259472041647, 42035263837131932108535477899238550280784414, 42035290396379121274702756460248108457399038, 8231680416171662519680106496000000, 121, 13774104149065836599255427245367608262053047, 6227020801, 121645100408832001, 10359741157099475956441293080494080000000, 42045596993321167796512466818493511018086526, 13774094930733188737402019201692858520585032, 362881, 1307674368001, 28271510754128436605292672479516640778404774, 13763761774543963858202528617974447443261214, 13774104157297517015427038416897589885003935, 355687428096001, 35794025503398491765261329760256000000, 42045614869241885419892215667304339404912047, 28271537313375626014029531022613121556740054, 13774112840606283176450343692386959360000000, 28281825992230559088669445748717910695270527, 13763788877029021049961562856952993130679623, 39916801, 42035263837131942997404877226277407853786665, 28271492836041638790205862565323977334640295, 42045587758542853435106612410999128221771928, 13774130708313014762983206699383678057040430], 'label': '15944266600786427904000.a.465120._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035790
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10333156189224799133441486157658525845529, 44469120294460606901653164903872681647, 5041, 8691540457466064469548864237648041646, 8683326460573880235220148944896000000, 7, 13763779692648749923792405866356804718199806, 42035263845354770762713400716964113160784415, 10888895302435091065733251609, 42045623552559504231778711185498740684912046, 28271528630058007217654245547749706260740054, 28271501519358975685770067460825878204841641, 17909873105423520939585231716352000000, 15511261256275259472041647, 8231680416171662519680106496000000, 121, 42035281713061502462816260942409394605495038, 13774104149065836599255427245367608262053047, 28281825992221717326675706046763367079270526, 6227020801, 121645100408832001, 10359741157099475956441293080494080000000, 13774094930733188737402019201692858520585032, 28271510754137267478391160958966103093305737, 362881, 1307674368001, 13774104157297517015427038416897589885003935, 13763761774543963858202528617974447443261214, 42035263845354781651582800044002970733791705, 355687428096001, 35794025503398491765261329760256000000, 42045596985098329142334544000767948138086527, 28271492836032786139342672445017272950640295, 28271501527572972610297478944227604531440304, 13774112840606283176450343692386959360000000, 28271510745905597951114749661791077898404775, 13763788877029021049961562856952993130679623, 39916801, 42045587758551695197100352112953671837771929, 13774130708313014762983206699383678057040430], 'label': '15944266600786427904000.a.465120._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035791
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [25903107681056686080000, 6227020801, 1307674368127, 35785793822982320102741649653760000000, 121, 10377625309508355307927430861684736000000, 10888895302435091045744640000, 357001329847806, 13774086239192764680028092232027873695989350, 7, 51090942177936823681, 363000, 13774094922510383508586783240451209135543800, 8683326460573880235220148944896000000, 10904406563691366305216681647, 15511261134273157693440000, 13774086239192731191245646232918425600000000, 8841761993739701954543616000001, 10359749388779892154006920798652364912046, 10904380660461683146791916920, 8231680416171662519680106496000000], 'label': '15944266600786427904000.a.465120._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035817
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [8852650863190120306710611850529, 5041, 7, 13774086247424411622954422025611369007442264, 15537062060069870960640000, 10333147966397049336230221068599928869470, 8231680431682872685013188031599150, 8852650863190120306710614251744, 8683317629700755945936546562048000000, 121646408083567920, 51090942171709440001, 8691549310164781990654302588968124721, 26576232834492618552156097365514409521, 10341831284004972353331655787535206640304, 10333147975227906949310863850296372108800, 8231680416171662519680106496000000, 121, 13774086247424411607417308752618073486376550, 6227020801, 25852016738884976640001, 8852650863241335519002068874887, 8852650863190120306704384000000, 1307674368001, 362881, 13763753091226355935185429999933063168000000, 21292564309710159330452384256285094313641, 355687428096001, 13774094930733188657497880373768341592374263, 10333147966397033799117069689683968000000, 13774086247424411622954422025611369181647286, 39916801, 10333147966397033799168160998701927172486, 8231680416197565749363264960681825], 'label': '15944266600786427904000.a.651168._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '651168.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '651168._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035792
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [35794016661636498078955929259994429214, 5046, 8683326460573880235220148944896000000, 28271510728929404098819964063142770840585032, 17909873094534651489166879555584000006, 25207863588770371130164668845495038, 28271537330351808896204435715064204398199807, 28271528630058006830440383782477696109791705, 28271528630058007217654245547749706260740054, 28271501544557985672475845738962338758053046, 8708525493160419046375435728234086526, 28271501527581814372291218646182148147440310, 28271501519358975685770067460825878204841641, 17901119761049744486788973215901771928, 28271501536326305256304131871132107389003934, 28271510728938257040053489964010739010762823, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 8231680416171662519680106496000007, 35785793822982320102741649653760000000, 6227020806, 121645100408832006, 8852650889042137045609349251608, 28271510754137267478391160958966103093305737, 17909873105423520990798175989840041641, 28271492861240355971719848331867324416000000, 362886, 1307674368006, 8841761993739701954543616000001, 355687428096006, 28271492836032786139342672445017272950640295, 28271519412255864608145467155103900777040430, 28271510745905597951114749661791077898404775, 25199021682158309088686111399270527, 35802778847836874656011875162060912047, 39916806, 17909873094519140330214490741309440006, 17892905753268665052207424973576784414, 26601413551985230549476563106205845529], 'label': '15944266600786427904000.a.465120._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035793
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42045605659671445326927116136172301189251608, 13774122041962748105926637188976282733791705, 5046, 8683326460573880235220148944896000000, 28271510728929404098819964063142770840585032, 17909873094534651489166879555584000006, 13774122041962748493140498954248292884740054, 13774104140321345682899234304636817084841641, 13774104157288675253433350063093171142053046, 28271501527581814372291218646182148147440310, 8708525493160419046375435728234086526, 13774130708304184115730233616115305582199807, 17901119761049744486788973215901771928, 13774094947709371700801553577836084277305737, 13774094930742041678635545102560826690762823, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 42045605676638775848636782609611254189495038, 8231680416171662519680106496000007, 35785793822982320102741649653760000000, 121645100408832006, 6227020806, 13774094939495385697512621684570146314404775, 17909873105423520990798175989840041641, 28271492861240355971719848331867324416000000, 1307674368006, 362886, 355687428096006, 28271519412255864608145467155103900777040430, 13774104149074678361249115599172027005003934, 25199021682158309088686111399270527, 42045614878004071491107727885263884250429214, 13774112823630393760244830325217014390640295, 39916806, 35802778847836874656011875162060912047, 17909873094519140330214490741309440006, 17892905753268665052207424973576784414, 26601413551985230549476563106205845529, 42045605659671434438031813701081235456000001], 'label': '15944266600786427904000.a.465120._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035794
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1307674368006, 13774094939495385697512621684570146314404775, 39916806, 35794016661636498078955929259994429214, 28271501536326305256304131871132107389003934, 121645100408832006, 42045605676638775848636782609611254189495038, 13774122041962748493140498954248292884740054, 6227020806, 13774104132098507061064539854541961267440310, 28271510728938257040053489964010739010762823, 35785793822982320102741649653760000000, 8231680416171662519680106496000007, 5046, 13774104140321345682899234304636817084841641, 42045596993321167796512466818493511018086526, 8852650889042137045609349251608, 28271537330351808896204435715064204398199807, 17909873105423520990798175989840041641, 355687428096006, 8231680416171662519680106496000000, 8841761993739701954543616000001, 13774112823630393760244830325217014390640295, 28271510728929404098819964063142770840585032, 13774122041962748105926637188976282733791705, 8683326460573880235220148944896000000, 42045587766774522962383023464902011656784414, 28271519412255864608145467155103900777040430, 42045587758542853435106612410999128221771928, 362886, 26601413551985230549476563106205845529, 10904406563691366305216681647, 42045614869241885419892215667304339404912047, 28271501544557985672475845738962338758053046, 13774094947709371700801553577836084277305737, 17909873094519140330214490741309440006, 28271492861240355971719848331867324416000000, 42045605676647617466012199972041783975270527, 126, 17909873094534651489166879555584000006], 'label': '15944266600786427904000.a.465120._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035795
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42045587766774522962383023464902011656784414, 42045605659671445326927116136172301189251608, 5046, 8683326460573880235220148944896000000, 28271510728929404098819964063142770840585032, 17909873094534651489166879555584000006, 42045605676647617466012199972041783975270527, 25207863588770371130164668845495038, 28271528630058006830440383782477696109791705, 28271528630058007217654245547749706260740054, 13774104157288675253433350063093171142053046, 13774130708304184115730233616115305582199807, 28271501519358975685770067460825878204841641, 13774094930742041678635545102560826690762823, 8231680416171662519680106496000000, 10904406563691366305216681647, 126, 8231680416171662519680106496000007, 35785793822982320102741649653760000000, 42045596993321167796512466818493511018086526, 6227020806, 121645100408832006, 28271510754137267478391160958966103093305737, 17909873105423520990798175989840041641, 28271492861240355971719848331867324416000000, 362886, 1307674368006, 42045614869241885419892215667304339404912047, 355687428096006, 28271492836032786139342672445017272950640295, 28271519412255864608145467155103900777040430, 13774104132098507061064539854541961267440310, 28271510745905597951114749661791077898404775, 42045614878004071491107727885263884250429214, 13774104149074678361249115599172027005003934, 39916806, 17909873094519140330214490741309440006, 26601413551985230549476563106205845529, 42045587758542853435106612410999128221771928, 42045605659671434438031813701081235456000001], 'label': '15944266600786427904000.a.465120._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035796
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10377634054282011321649202176699489470727, 15511261134273157693440000, 10377617086680605510667245981286165405367, 13774086247415580749830132882133020741973471, 8683326460573880235220148944896000000, 7, 13774086256168914219225874107287268728832017, 13763753099449183909664976232428149431554775, 363000, 13774086256168925123606585665187933447320608, 13763779692648738809051480974590254275157345, 51090942177936823681, 357001329847806, 13774112823630100342104129248545386504113401, 25903108038051788912046, 10359724180927513753423070594797846101430, 8683326471478260897597253533544972943, 13763797568569500745476686360214512031989350, 13774086256169150999168045574447952862221870, 10888895302435091045744640000, 13763770992354937211834192699985650560239070, 10904380660461683146791916920, 13774094922510383508586783240451209135543800, 13774086239201572953239437538380272475979929, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 35785793822982320102741649653760000000, 13774112815416103465457006657008308168132175, 10377625300666593340040636347243849569967, 13774094947709382574159742862312694652971750, 13774112815416103271797196129683052869469089, 8700293824424214449468871794719927807, 1307674368127, 10377625300666593314187728907141120000001, 25903107681056686080000, 13763797568569467256694240361105063936000000, 13763797577322811630496596509049079855170254], 'label': '15944266600786427904000.a.465120._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035797
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [16976205644645279089336329427922230, 8231691320578226211046411712681647, 5041, 21265470047502881080977185629880128956840, 7, 8841777505000958228575933590473, 10341831402640043890029734915475370373047, 21265453317986267604252515940738288389742, 21265453071319868586107337498752026765865, 8841761993790793252402793452921, 10341839726396740134644311325450623922040, 10341839671516838158222288417159143070086, 21265453071319868586107337498752026759375, 201259828489495951877658093884742, 31589917728918074779421942142536795039862, 10341856501330828520465990320482417489961, 51090942171709440006, 21265444994839347591606908824426381317535, 31589909497248531940147147265417891966641, 21265453071308979716708131732561969577663, 121, 6227025840, 121645100408837040, 10341839515696277394388380578336192681647, 21265453317997140774840094200610461806022, 1307674373040, 367920, 21265453071319868586109764754410138883624, 15511210043330985984000001, 21265453244813064979600291748475844702384, 355687428096001, 10341831448678184437925771849019530765519, 10341839506854515374745570587048422583681, 39916801, 31589951681464837632585816024665241480240, 10888869450418352160768005040], 'label': '15944266600786427904000.a.11628._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035798
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [15511261134273157693440000, 13774104140312481336583671634414651439170254, 10377617086680605510667245981286165405367, 13774086247415580749830132882133020741973471, 8683326460573880235220148944896000000, 7, 13774094939486533289298868731736384384239070, 13763753099449183909664976232428149431554775, 13763797585545661189055179793374571783320608, 363000, 13763779692648738809051480974590254275157345, 51090942177936823681, 357001329847806, 25903108038051788912046, 25207874509929099802641895702101430, 13763788894005193012244063086791012360113401, 8683326471478260897597253533544972943, 25208134488357046810675227745470727, 13763797568569500745476686360214512031989350, 10888895302435091045744640000, 13763779675672792545476360579086021598221870, 10904380660461683146791916920, 13763797585545650284674468235473907064832017, 13774094922510383508586783240451209135543800, 13774086239201572953239437538380272475979929, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13763770984132109188339221195110835068971750, 10351049095000636609106739796107295927807, 6227020801, 35785793822982320102741649653760000000, 10377625300666593340040636347243849569967, 13763753116425366937645203985146318792132175, 1307674368127, 10377625300666593314187728907141120000001, 25903107681056686080000, 13763788902219189726305496199470717253469089, 13763797568569467256694240361105063936000000], 'label': '15944266600786427904000.a.465120._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035799
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10377634054282011321649202176699489470727, 15511261134273157693440000, 13774104140312481336583671634414651439170254, 8683326460573880235220148944896000000, 7, 13774086256168914219225874107287268728832017, 13763753099449183909664976232428149431554775, 13774094939486533289298868731736384384239070, 363000, 13774086256168925123606585665187933447320608, 13763779692648738809051480974590254275157345, 17918095944077698864574119296789405367, 51090942177936823681, 13774112823630100342104129248545386504113401, 357001329847806, 25903108038051788912046, 10359724180927513753423070594797846101430, 13763788885251881950262386332249044911543800, 13763779692639897031520728644556739419979929, 8683326471478260897597253533544972943, 13763797568569500745476686360214512031989350, 13774086256169150999168045574447952862221870, 10888895302435091045744640000, 10904380660461683146791916920, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 10351049095000636609106739796107295927807, 6227020801, 35785793822982320102741649653760000000, 13774112815416103465457006657008308168132175, 8841761993739701954543616000001, 13774094947709382574159742862312694652971750, 17909881936281159871732943215945569967, 13774112815416103271797196129683052869469089, 1307674368127, 13763779684425911043743057756767449157973471, 25903107681056686080000, 13763797568569467256694240361105063936000000], 'label': '15944266600786427904000.a.465120._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035800
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [15511261134273157693440000, 8683326460573880235220148944896000000, 7, 13763753099449183909664976232428149431554775, 13763797585545661189055179793374571783320608, 363000, 13763779692648738809051480974590254275157345, 17918095944077698864574119296789405367, 51090942177936823681, 357001329847806, 25903108038051788912046, 25207874509929099802641895702101430, 13763788894005193012244063086791012360113401, 13763788885251881950262386332249044911543800, 13763779692639897031520728644556739419979929, 8683326471478260897597253533544972943, 25208134488357046810675227745470727, 13763797568569500745476686360214512031989350, 13763779675672792545476360579086021598221870, 10888895302435091045744640000, 13763770992354937211834192699985650560239070, 10904380660461683146791916920, 13763797585545650284674468235473907064832017, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13763770984132109188339221195110835068971750, 6227020801, 35785793822982320102741649653760000000, 13763753116425366937645203985146318792132175, 8841761993739701954543616000001, 17909881936281159871732943215945569967, 8700293824424214449468871794719927807, 1307674368127, 13763779684425911043743057756767449157973471, 25903107681056686080000, 13763788902219189726305496199470717253469089, 13763797568569467256694240361105063936000000, 13763797577322811630496596509049079855170254], 'label': '15944266600786427904000.a.465120._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035801
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10368958959230824919130128768256421212736, 13785009877965229000048537506090093480053161, 44477334280448384521077569617920000000, 5041, 7, 13837856523794138336557825080590495052746584, 11291620426228339194849062998, 13816626363676838823595593066262479349802568, 52873272450493777279662523845768949697153, 44477334280448384572168511789629440001, 13806311108598511518962837864605898324609262, 10368933769061778112960659677279103007024, 13774094947718224336153533536182447964093230, 26593199565981889964762049675264000001, 13837883125207690321762471570760649536563321, 10341839515707957389559135340473182448425, 13763753108202708781188219119942695772375166, 63814778903017970787834449976360960000000, 10341839515685372987824689212030976000000, 42558017372166472646858916089967110741160, 121, 13785045646782699958459983426491669551618270, 21274662659737066722862429269948260112017, 74139235337788669833320417038744176189481, 6227020801, 121645100408832001, 13774094930742063924784246686285024040766761, 362881, 10351066062330400751330525298398253093528, 355687428096001, 13774122050185586760130412145084577060944120, 74103457757962321510902841471136794368001, 63814778903028875168546124603781200041646, 13763753091226345046315979581580902400000001, 13837883125207679803328926357889801232929273, 31598609791039482937418462150000640000000, 39916801, 74130017005162262977525371086163392681647, 21256769762565387503964567843507309756840, 21274679635637548219750413707144262837703], 'label': '15944266600786427904000.a.465120._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035802
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [28281852568436258518617506327937848211696430, 28271537313366784267547001363989563924740054, 44477334280448384521077569617920000000, 8691549310116953460472965573509251608, 7, 355687468017841, 10333164942569188421155538706869000784414, 42045614861027888527708032551533320140912047, 6227025847, 40284847, 10368958959230954026400821197302189495038, 42045605659662592676038073999126691840000000, 367927, 13774086256168925123632386464421201418404775, 1307674731001, 13774104157288675253433350063093171142053046, 28271501527581814372291218646182148147440310, 28271519429232047636099733659434941493305737, 13763779684425911269614483048631241838199807, 28281825983998878672497783229037804199270527, 51212944267260652927, 121645106636220841, 10351066062319318247868592611655680000000, 5160, 121, 10904406563691366305216681647, 13774104157288675253433298714943046269003934, 42045596993321167796512466818493511018086526, 13774112832392286284266160576615940096000000, 25903229327470996663806, 15537113151369037812465967, 42035263845354781651582800044002970733791705, 10341839515685373013676706306603421845529, 28271492836032515111889832240676933308841641, 28271492836032786139342672445017272950640295, 28281852568436247629722147814099832794429214, 17892905764157560303673202196637771928, 8691549299228058158037874507776000001, 28271519420469861564884382399062735000585032, 13763797568560636754032241490918413634762823], 'label': '15944266600786427904000.a.465120._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035803
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 7, 11291620426228339194849062998, 21283337754234452076668778903424448681646, 13816626363676838823595593066262479349802568, 52873272450493777279662523845768949697153, 10368950736403059636509745778111780944120, 10377617077827939136264911182885914368001, 74121350663726463559996470985345856563321, 10341839515707957389559135340473182448425, 13795369593923148897173969347094408262837703, 42531432934797515422387294279408189440001, 10341839515685372987824689212030976000000, 13785009860980068671826204447469866093756840, 10377617077838828005716475917136767007024, 121, 13816644256564897663892505149008392710741160, 6227020801, 121645100408832001, 13774094930742063924784246686285024040766761, 10333173174260477951058436407144284093230, 362881, 52891165338552617576524934362519124609262, 355687428096001, 8700293982546758735056556194652375166, 31589934696259325228845761681162240000000, 10351057848333508567147409527378989093528, 74121350663715945126451258114497552929273, 13774122041962737217057186892623595941212736, 13763753091226345046315979581580902400000001, 63806095594241179081576583426783856189481, 10351057848333314933135895192797184000001, 39916801, 31607810617281449658789378652927844112017, 21292555547513150150264142956223535618270, 26601413551985204697459468533760000000, 52882456830753885525566174730387456000000, 13795343025922773382984464455473073064053161, 63770284601407145312178847672069452746584, 63806095594251825301642325102808512681647], 'label': '15944266600786427904000.a.465120._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '465120.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '465120._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035804
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '496128.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': 62016, 'diagramx': None, 'generators': [52846679250938684259096967203913728000001, 5041, 52846679259780461765168662577447133552000, 7, 21283345977073121765801639602971942917345, 21283345968220455391350263378009456640001, 52846679259769557383437858814702188926840, 52846679259780461789898851230430305053382, 21283345968220455365498246639124480000000, 52846679251198855080110022416059498992007, 10904380711674270425360582262, 52846679259769572920501316487881833425926, 52846679259769557409289480488141099387729, 121, 52846679250927810900856592182738944000001, 121645100408832001, 6227020801, 8841794311167144142929659095271, 52846679250927795415549656889804790453334, 362881, 1307674368001, 8841761993739701954543616000001, 21283345968220455391401475979236677701046, 355687428096001, 52846679250927811466229079901283690608496, 27168535861767254439659486551801, 52846679259780461790913628216029225306817, 39916801, 52846679250927795415498687592733837398983, 52846679259780446252836791926427683363886, 52846679259780446252887760457670969405008, 52846679250927795389697639793924669440001], 'label': '15944266600786427904000.a.496128.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '496128.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '496128.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035805
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [10888895302557091839848873520, 25852016738891204023681, 8222838654203826047051720014828920, 121, 13763761774543963858202475099775303680000000, 25852017094578672036607, 28303082745529741091851332037033899553104305, 7, 5046, 28271501519358964038092221844366977241088120, 39916801, 6227383687, 15511261256273951797668486, 25852138739672853489841, 1307674368001, 8231691320578226211046411712681647, 367920, 42045587775527867336211180538267418963287800, 51091297865364924840, 8683317618811886495518194401280000001, 56542985672064985055135916118926950400000000, 10341856510161701670658503247714725950760, 10341831284004956816162169531924480000000], 'label': '15944266600786427904000.a.542640._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035806
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [13763797568560636399107013137573859723008127, 17909873094519140279123548569600000000, 121, 155131612798366865205102756447213060096000000, 17918104785839718505334594981312681647, 7, 10888869450418352160768000001, 13763753099449183748348284597025390601292920, 10333156198077449970779589369790464000000, 8852650863190120306704384000000, 13763761782766813401249848335853027328000000, 5160, 28281861795000575987839068143563657246464121, 141357517884079353856148537513825796096368041, 51090943485610828920, 95413906751196856480543678819074048000000, 39916920, 25852016738891203660800, 13774094922510350018643459099338831974538465, 8691540457466064418335919964160000000, 6227020801, 113138826732428044119330506992621977600000000, 1307674368120, 8231680416171662519680106496000000], 'label': '15944266600786427904000.a.542640._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '542640.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '542640._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035807
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [70380850913129108275051902388491105645660743, 13763797568560636399107013137573859723008127, 13763761782766813416786961486873458843440777, 155131612798366865205102756447213060096000000, 25852016738891203660800, 56606755998832755196367209430334795557033640, 7, 1307674368120, 13774086239201583857620046518556977132901737, 8691549299228058158159540457209655102, 13763761774543963858228327116515496370925224, 8691540457466064418335919964160000000, 13774094930733199546205367005795674858523393, 13774094922510350018643459099338831974538465, 141357517884079353856148537513825796096368041, 39916920, 95413906751196856480543678819074048000000, 17918104785839718505334594981312681647, 17909873094519140279123548569600000000, 13774086247415569860934779607678232106109865, 13774086239201572953401349601063254462184897, 13763753099449183748348284597025390601292920, 13774086247424411622954421906980452087794134, 5160, 8231680416171662519680106496000000, 121, 6227020801, 13763761782766813401249848335853027328000000, 8852650863190120306704384000000, 51090943485610828920, 13763753099458025462513494118366759849352240, 10341839506854499863586496908815242280839, 28281861795000575987839068143563657246464121, 13763761782775655178754849172436416107070766, 8231691320552322981363259475048887, 10333156198077449970779589369790464000000, 10888869450418352160768000001], 'label': '15944266600786427904000.a.542640._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '542640.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '542640._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035808
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [21256769762531929849755290805013595034822, 21256761530862387010480495927894691966640, 16976205644645279089336329427922230, 8231691320578226211046411712681647, 5041, 7, 8841777505000958228575933590473, 10341831402640043890029734915475370373047, 8841761993790793252402793452921, 31598601284372412533919167278261528306542, 10341839726396740134644311325450623922040, 10341839671516838158222288417159143070086, 201259828489495951877658093884742, 31598601037695124646374783070085169577657, 10341856501330828520465990320482417489961, 51090942171709440006, 31598618013889026010643836967403328956841, 31598592961225492521273560161949581317534, 121, 31598601037706013515773988836275226759374, 31598601211199209935118959824884021342384, 6227025840, 121645100408837040, 10341839515696277394388380578336192681647, 1307674373040, 367920, 31598601037706013515773988836275226770905, 15511210043330985984000001, 10341831448678184437925771849019530765519, 355687428096001, 10341839506854515374745570587048422583681, 31598601284383285704506745538133661811062, 39916801, 31598601037706013515776294446832930051624, 10888869450418352160768005040, 21256803715078692702919164687142041480241], 'label': '15944266600786427904000.a.11628._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035809
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [126892246683910841690405953297625163306109865, 70380850913129108275051902388491105645660743, 13763797568560636399107013137573859723008127, 13763761782766813416786961486873458843440777, 155131612798366865205102756447213060096000000, 25852016738891203660800, 113138818057342105723615674115773632249655102, 7, 1307674368120, 13774086239201583857620046518556977132901737, 13763761774543963858228327116515496370925224, 8691540457466064418335919964160000000, 141357517884079353856148537513825796096368041, 39916920, 113138826732428055008199957410974138368000001, 126892238000593233751903549659353803498523393, 95413906751196856480543678819074048000000, 17909873094519140279123548569600000000, 13763753099449183748348284597025390601292920, 13774086247424411622954421906980452087794134, 5160, 8231680416171662519680106496000000, 121, 42035254618799305976618185345516138277033640, 6227020801, 13763761782766813401249848335853027328000000, 8852650863190120306704384000000, 51090943485610828920, 126892237992370384224341641752896960614538465, 126902579831886069581844001110988737449352240, 70359594159812253669095056964367797696681647, 10341839506854499863586496908815242280839, 28281861795000575987839068143563657246464121, 113138826740659735439882829973985237075048887, 10333156198077449970779589369790464000000, 126892246675696844782872523291010185662184897, 126902571148568461674312365128669591147070766], 'label': '15944266600786427904000.a.542640._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '542640.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '542640._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035810
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [126892246683910841690405953297625163306109865, 13763797568560636399107013137573859723008127, 13763761782766813416786961486873458843440777, 155131612798366865205102756447213060096000000, 25852016738891203660800, 113138818057342105723615674115773632249655102, 7, 56606755998832755196367209430334795557033640, 1307674368120, 13774086239201583857620046518556977132901737, 13763761774543963858228327116515496370925224, 8691540457466064418335919964160000000, 39916920, 141357517884079353856148537513825796096368041, 113138826732428055008199957410974138368000001, 126892238000593233751903549659353803498523393, 95413906751196856480543678819074048000000, 17909873094519140279123548569600000000, 13763753099449183748348284597025390601292920, 13774086247424411622954421906980452087794134, 5160, 8231680416171662519680106496000000, 121, 6227020801, 13763761782766813401249848335853027328000000, 8852650863190120306704384000000, 51090943485610828920, 126892237992370384224341641752896960614538465, 126902579831886069581844001110988737449352240, 70359594159812253669095056964367797696681647, 28281825984007731338897928104121841005660743, 10341839506854499863586496908815242280839, 28281861795000575987839068143563657246464121, 113138826740659735439882829973985237075048887, 10333156198077449970779589369790464000000, 126892246675696844782872523291010185662184897, 126902571148568461674312365128669591147070766], 'label': '15944266600786427904000.a.542640._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '542640.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '542640._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035811
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [26593190724235433338211482409363210737, 13763797568560636399107013137573859723008127, 13763761782766813416786961486873458843440777, 155131612798366865205102756447213060096000000, 17909873094519166182353231721837678840, 25852016738891203660800, 7, 1307674368120, 13774086239201583857620046518556977132901737, 13763761774543963858228327116515496370925224, 8691540457466064418335919964160000000, 13774112840615135827339544346560466383184430, 141357517884079353856148537513825796096368041, 39916920, 95413906751196856480543678819074048000000, 13774112832392286299777421834043448716986958, 17909873094519140279123548569600000000, 13763753099449183748348284597025390601292920, 17918104774950849054916242820544681646, 13774086247424411622954421906980452087794134, 5160, 8231680416171662519680106496000000, 121, 42035254618799305976618185345516138277033640, 6227020801, 13763761782766813401249848335853027328000000, 8852650863190120306704384000000, 51090943485610828920, 13774104149074678361275019220157487888013670, 13763779684417058377368606361709172568836481, 10341839506854499863586496908815242280839, 28281861795000575987839068143563657246464121, 13763771001099450469836970379412370905784447, 13774104157288675269132375531749136088099182, 10333156198077449970779589369790464000000, 113138826732428044119330506992621977600000000, 28281843902094811845815826652075137107020936], 'label': '15944266600786427904000.a.542640._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '542640.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '542640._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035812
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [26593190724235433338211482409363210737, 13763797568560636399107013137573859723008127, 13763761782766813416786961486873458843440777, 155131612798366865205102756447213060096000000, 17909873094519166182353231721837678840, 25852016738891203660800, 7, 1307674368120, 13774086239201583857620046518556977132901737, 13763761774543963858228327116515496370925224, 8691540457466064418335919964160000000, 13774112840615135827339544346560466383184430, 141357517884079353856148537513825796096368041, 39916920, 95413906751196856480543678819074048000000, 13774112832392286299777421834043448716986958, 17909873094519140279123548569600000000, 13763753099449183748348284597025390601292920, 17918104774950849054916242820544681646, 13774086247424411622954421906980452087794134, 5160, 8231680416171662519680106496000000, 121, 6227020801, 13763761782766813401249848335853027328000000, 8852650863190120306704384000000, 51090943485610828920, 13774104149074678361275019220157487888013670, 13763779684417058377368606361709172568836481, 28281825984007731338897928104121841005660743, 10341839506854499863586496908815242280839, 28281861795000575987839068143563657246464121, 13763771001099450469836970379412370905784447, 13774104157288675269132375531749136088099182, 10333156198077449970779589369790464000000, 113138826732428044119330506992621977600000000, 42035272520458392699167820087813302489088007], 'label': '15944266600786427904000.a.542640._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '542640.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '542640._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035813
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '558144.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': 69768, 'diagramx': None, 'generators': [5041, 70306774557307991738327743900254843987358206, 8683326460573880286311091116605440001, 8683326460573880235220148944896000000, 7, 70306774549094005750172252029546985897940342, 126902615583718695635079410158288427734254305, 113128520661217187393915104997324488704000001, 70317107705283219644899232127507910483437377, 113128520661217187393915105119326584255604184, 42077759475519562252324145291282350080000000, 56553354605834046833248926848180850886570025, 8231703032756802621370558169841847, 13763761774543997346984921220174170943824311, 8231691305041114597360075831552854, 70306783240634463200833521123975929454629161, 8231680416171662519680106496000000, 121, 56543030141185268626847466173572150781529457, 121645100408832001, 25852016738884976640001, 13763753099449183700493902399306465280000000, 1307674368001, 362881, 10333156189224799107589469063086080000000, 355687428096001, 113138853809174721161625286013993430837408001, 10341831284004956816162169548676211869665, 84888608533847142441978703648245753585173449, 126902615583718695635079410276165930432681646, 8691540468370470982027286269376681647, 98652361633296326157983867060181584296296550, 126902615583718695650590569233473095861820806, 42088092623494790449833477617485397934907745, 13774094930733199562148351587365235509053774, 39916801, 113128529344525953554938461608155145146373737, 84888608533847131568594611256131394666851624], 'label': '15944266600786427904000.a.558144.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '558144.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '558144.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035814
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '604656.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': 604656, 'diagramx': None, 'generators': [25852016738891243945647, 122000787836928000, 121, 10888895302435091045744640000, 21283337754234467587827730935243620414646, 7, 13774086247424411622954529329040297117497720, 10341839515696277394388380578336192681647, 13763753091226345046315979581580902400000001, 13774094939504859852780724794289736449207801, 8691549310116927659669926965673277105, 355693695401647, 40284847, 8683317618827397705561525387264000000, 15537062060069870960640000, 5167, 21256761539704149030177846629070449644807, 6227388847, 1313941673647, 51212587272118272000, 8841761993790914898817104041647, 363007, 8222838654177974030668522426368000], 'label': '15944266600786427904000.a.604656.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '604656.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '604656.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035819
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [13795351692272881932981897041917840475039862, 13795351701026226306758398879959912063724807, 13785009860980046103015593828140911258883624, 16976205644645279089336329427922230, 8231691320578226211046411712681647, 5046, 228383986779439368845346553281847, 7, 8841761993790793252402793452921, 10341839671516838158222288417159143070086, 13795351684279037042516486661389538309736297, 8396342739386862430630908864694912, 201259828489495951877658093884742, 13785009861153539299409084355134976964702384, 8332621074903191267270225994123000, 13785009861226712502033736579327239408389742, 10341856501330828520465990320482417489961, 51090942171709440006, 13785009860980046103015591400885253146765865, 10888895302435091045744640000, 13795351692419261828392957084242935773243728, 13795351684050054152162212428409744783104016, 121645100408837040, 6227025840, 25852016738884976645040, 126, 10341839515696277394388380578336192681647, 1307674373040, 367920, 15511210043330985984000006, 13785009860980046103015591400885253146759375, 355687428096006, 10341839506854499889387422349921379494278, 13795351684041212390142622247040721571966641, 39916806, 13795351726225428695835060915799968921480240], 'label': '15944266600786427904000.a.11628._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035820
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [5041, 8852666374400163637770968095134, 7, 15511210164976086392832000, 8222849543073276465760882112681825, 8222849543073276465760882162286935, 21265453080150758488406575934036176896000, 8691549310132438818621204063047474214, 8691549310132438818499928611698533350, 8683317629700755945936546562048000000, 10341839515685388499086969867097174980175, 51090942171709440001, 10341831292857607679352289838628864000000, 8683326460574014149824238079113098465, 122000787837290881, 121, 8683326460589417348492815778305094711, 85053630579068265976496862928301433200046, 25852016738884976640001, 6227020806, 8852650863190120306704384000000, 8691549310132438818621204062613619489, 362881, 1307674368001, 10341831284004956816213386659381826368120, 355687428096001, 8691540457481575735684147283156290145, 10333147975227954751885443329929224560046, 8231680416171662641325213132227798, 8222849543047373236077723648000000, 39916801, 10386868850618629224902040615930237296041], 'label': '15944266600786427904000.a.651168._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '651168.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '651168._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035821
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [5041, 8683326460573880235220148944896000000, 7, 8231680416197514658419785576506024, 10333156189224799133493982644062328825623, 122000787836928000, 42531424208588204316377031249853818295686, 356995102464000, 25852138385293059840001, 13785018544306506693673785484926235310192046, 25852021261017240810097, 51090942171709440001, 8683317629716293059209559392594947847, 15511210164977394067200001, 21310465447742731986889029415590270391681, 8231680416171662519680106496000000, 121, 8683317629716267155979878861937000320, 6227020806, 8852650863190120306704384000000, 1307674368001, 362881, 8231680416171662641325240130492841, 10333147966397033799117069689683968000000, 8691540457481575735684147283156290145, 10333147975227954751885443329929224560046, 8231680416197514658419779571244657, 39916801, 8231680432032596212591012993188600, 10333156189224814618799512410810296285095], 'label': '15944266600786427904000.a.651168._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '651168.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '651168._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035822
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [5041, 8683326460573880235220148944896000000, 7, 8231680416197514658419785576506024, 10333156189224799133493982644062328825623, 122000787836928000, 42531424208588204316377031249853818295686, 356995102464000, 25852138385293059840001, 25852021261017240810097, 51090942171709440001, 8683317629716293059209559392594947847, 15511210164977394067200001, 21310465447742731986889029415590270391681, 8231680416171662519680106496000000, 121, 8683317629716267155979878861937000320, 6227020806, 8852650863190120306704384000000, 1307674368001, 362881, 8231680416171662641325240130492841, 10333147966397033799117069689683968000000, 8691540457481575735684147283156290145, 10333147975227954751885443329929224560046, 8231680416197514658419779571244657, 39916801, 8231680432032596212591012993188600, 10333156189224814618799512410810296285095, 13785018544306495804804386157514938576896001], 'label': '15944266600786427904000.a.651168._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '651168.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '651168._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035823
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 162792, 'diagramx': None, 'generators': [5041, 13774086247424411622928626100825851092290264, 7, 10341839506854515374796661527912498016289, 2428007383452672126, 13774086239201583857645898415558779620479015, 6227383680, 8691549310116927608456600415417439128, 10341831284004956816162169531924480000000, 10341831284004972327423425450188939099855, 13763753099449183700493902520951571918652142, 15537113272662742302820255, 13763753099458036366868355708672984352512001, 10341839506854499889387544350634842991768, 13774094922519191780662943513149735038007968, 51090943485611191687, 355687468012800, 10333147975227906923406353292066816000000, 15511261134274465368175926, 121, 8683326460589391445263481278919151710, 121646414310583687, 25852016740198878391687, 362881, 13763753099458036351382995749295047326032974, 1307674368006, 13774094930742041308173254689145094144000000, 10333156189224799107589469063086080000000, 28292749631524562732558484363852985178961966, 323820541898857560171006, 10333147966397033799117069689683968000000, 10341839506854499889387544350634842957377, 13859139903733018164045839812543088606556720, 39916801, 8683326460606223356162306601030385960], 'label': '15944266600786427904000.a.651168._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '651168.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '651168._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035824
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [74139235337788427643708129221181019708927, 42557992181986552482395041587265536000000, 5041, 8683326460573880235220148944896000000, 7, 13816644231374717743728043580471955818952670, 63806095594240936406288677424490609519769, 52891140139541824313625963743998983092705, 13763761782775666906470487642831753652030767, 63806087362571393592866654053664418320041, 13763761774543963971015270241528876718603520, 63814778903028875168546002968525758712241, 52882456830764774420919822765706688681646, 10333147975227906923406353292066816000000, 13827567870138215716253109933944507297925121, 13837901018095749162033480682894786560000000, 31589926482273321940018477553904761277665, 8231680416171662519680106496000000, 121, 63814778903017986324896510047545823658449, 6227020801, 25852016738884976640001, 121645100408832001, 8683326483158282020757219558811530591, 362881, 1307674368001, 13816635556279937601556533061363689483523912, 8691540457756920104487266476515089568, 355687428096001, 63806095594251809790381190472649490223688, 31598609791039482937418462150000640000000, 13763761774543963858202475099776611394648376, 74139235337901398294257727943946779549366, 39916801, 52882456830764789932129866096692672681647, 31589934696259325254748991364387812886608, 52891140139541824313624426062604806313647, 13785009877956229115510461249028861284094935, 74147926878256766606545543971365849426345, 63806087362571393618769767010067186902961], 'label': '15944266600786427904000.a.697680._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035825
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [21265461824653353544816176494213778691912, 31589926473420671076826173638824932886609, 42557992181986552482395041587265536000000, 5041, 8683326460573880235220148944896000000, 7, 74147926869404131254563161385069023658448, 74139243551785303831005583120790594648376, 63806087362571393592866654053664418320041, 21256786729873180299181537955004131784670, 52882456830764774420919822765706688681646, 10333147975227906923406353292066816000000, 31589926482273321940018477553904761277665, 8231680416171662519680106496000000, 121, 6227020801, 25852016738884976640001, 121645100408832001, 63806087371402282714041477883657819708926, 8683326483158282020757219558811530591, 52882456821923012427130445549597703087665, 362881, 1307674368001, 74147926869415020098212654306048958712240, 8841761993739701954543616000001, 8691540457756920104487266476515089568, 74139243560627178637540426827599534603521, 355687428096001, 63806095594251809790381190472649490223688, 52891140148383586307364250029108580094934, 31598609791039482937418462150000640000000, 39916801, 52882456830764789932129866096692672681647, 63806087371515253364591076606423579549367, 52891140139541824313624426062604806313647, 10333147966397082085222851770223521925120, 74139243560627081335955328762013809524809, 74147926878256766606545543971365849426345, 63806087362571393618769767010067186902961, 74139235328969281749432788770263476030766], 'label': '15944266600786427904000.a.697680._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035826
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [74139235337788427643708129221181019708927, 42557992181986552482395041587265536000000, 13837901018104601861182776585282030497925120, 5041, 13785009869733390461332538431303298404094934, 13827567870129363017103814031557263360000001, 8683326460573880235220148944896000000, 7, 13816635548057098931841548183922654947784670, 63806095594240936406288677424490609519769, 52891140139541824313625963743998983092705, 63806087362571393592866654053664418320041, 63814778903028875168546002968525758712241, 52882456830764774420919822765706688681646, 10333147975227906923406353292066816000000, 31589926482273321940018477553904761277665, 8231680416171662519680106496000000, 121, 63814778903017986324896510047545823658449, 6227020801, 25852016738884976640001, 121645100408832001, 8683326483158282020757219558811530591, 13816644239597556413443028457912990354691912, 1307674368001, 362881, 8691540457756920104487266476515089568, 13763761782766825144476747940877210036030766, 355687428096001, 13763761774552805733009009943483420334603521, 13763761774552805620196214801731155010648256, 63806095594251809790381190472649490223688, 31598609791039482937418462150000640000000, 74139235337901398294257727943946779549366, 39916801, 52882456830764789932129866096692672681647, 31589934696259325254748991364387812886608, 52891140139541824313624426062604806313647, 74147926878256766606545543971365849426345, 63806087362571393618769767010067186902961], 'label': '15944266600786427904000.a.697680._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035828
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13785018553050998384323731392393379840000000, 8231691320578226211046411712681647, 5041, 13785009869733390461332538431303298404094934, 8683326460573880235220148944896000000, 7, 74147926869404131254563161385069023658448, 13816635548057098931841548183922654947784670, 13806302408313574073186151946075673012030766, 13806302400081871137730934544772796078603521, 63814778903017970787834449976360960000000, 63806095585399158927242161465185252886609, 63806087362571393592866654053664418320041, 10341831292857607705205844260221959087665, 13785018553059851083473027294780623777925120, 63806095594251809790434465380265081277665, 10333147975227906923406353292066816000000, 8231680416171662519680106496000000, 121, 6227020801, 25852016738884976640001, 121645100408832001, 63806087371402282714041477883657819708926, 8683326483158282020757219558811530591, 13816644239597556413443028457912990354691912, 1307674368001, 362881, 74147926869415020098212654306048958712240, 8841761993739701954543616000001, 8691540457756920104487266476515089568, 355687428096001, 63806095594251809790381190472649490223688, 39916801, 63806087371515253364591076606423579549367, 10341831284015845711515817567243712681646, 13806302400090712786911879104975074370648376, 74139243560627081335955328762013809524809, 74147926878256766606545543971365849426345, 63806087362571393618769767010067186902961, 10333147975238795818708788384426502313647], 'label': '15944266600786427904000.a.697680._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035829
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [21256761539726765643469071016905037706470, 5041, 8683326460573880235220148944896000000, 7, 13763753099458036351382944657997228463741654, 51212942959546373040, 10341831284004956816162169531924480000000, 21256786738714942292918812298182656000000, 13785009860980035198660783077584790336098150, 10341839515685372987824689212030976000000, 8708525493144907943378640866587372807, 13774086256169207815463526189837983488707247, 39921847, 10904406563691366305216681647, 25852016740198918308607, 13795351684050054167673422593384529728594248, 126, 10333156189224814644652810365089506850622, 21265453080150726225089807096305987711135, 21256769753690555043916373880364209247135, 13774086264400595038148511421253429083214934, 1307674373166, 31598592823731690142255132237134840561841, 8700293801855403836423795110902814081, 363007, 16985024805485228710952231906647702, 31598592823709105820432042321548324035327, 6227383687, 15511261255918264329292926, 13774086239201572953239385934872969216000001, 357001369406641, 21256769753690167830212492250055469932920, 13774086264400594715489546837721858936952744, 122002095511296120, 13795351684050054152136411502615821221590446], 'label': '15944266600786427904000.a.697680._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035830
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '171.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': 171, 'diagramx': None, 'generators': [10888869450539997267403852801, 368046, 42045605659662592676063977228809844037381040, 8222838669715035969094600692828847, 122000794103865600, 6266937607, 8222838654177922939370663328753840, 39921847, 121, 25852017094578671673600, 10351066062330207143222240289973583191687, 10904380660583328247200753846, 13774094930733199561716628260204688709744047, 7, 25852016738891203660921, 5167, 8691549299243595271310888652224681647, 8231680416197565749363264920764841, 51212587278385209607, 10341839534001290329630070040672328277471, 10333156189224814644702742077224261744041], 'label': '15944266600786427904000.a.171.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '171.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '171.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035831
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5814, 'diagramx': None, 'generators': [25217325871704303820788557937489961, 8231691320578175120104240003241641, 31598601046536886665917460336938075034822, 8231691320578226211046411712681647, 13795351709240234072326623418548305728956840, 5046, 7, 8222849558558583279410023533756726, 13763753091235186823820980539809472106569673, 13795351692510717458849898748859163888389742, 13795351692264040170962354364650987569577663, 8442391783318482141793526143922040, 201259828489495951877658093884742, 13763753091391018273937743183896689776397519, 13763753091344980133389847146964453290373046, 31598601037706013515773988836275226759374, 6227025840, 121645100408837040, 126, 1307674373040, 367920, 31598601037706013515773988836275226770905, 15511210043330985984000006, 13763753099613856927658039700466137063070087, 13763753108202550690961258670917231827922224, 355687428096006, 13763753091226345046315979581580902400000001, 13795351692437544256225246524666901444702384, 8222849558584435417794008919228726, 31598601284383285704506745538133661811062, 13795351684041212390142622247040721571966641, 39916806, 13795351684187570538837253141742851981317535, 13795351726225428695835060915799968921480240, 31598601037706013515776294446832930051624, 10888869450418352160768005040], 'label': '15944266600786427904000.a.11628._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035832
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [5041, 8683326460573880235220148944896000000, 7, 51212942959546373040, 10341831284004956816162169531924480000000, 21256786738714942292918812298182656000000, 13785009860988876960654573870482807107711135, 16985024870065977787077870456952750, 13785018544297654413246391473655667889247135, 13785018544297654026032687592025359149932920, 10341839515685372987824689212030976000000, 13774086256177756368459378560196880219214934, 13795351684041212405679682891429986112594249, 8708525493144907943378640866587372807, 39921847, 25852016740198918308607, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 126, 31589909497248531940196700885973925590447, 10333156189224814644652810365089506850622, 13774086264392057358510899425915707136707247, 13785018536083690623845944170792208717706470, 13774086256177755996730874943870657506647702, 1307674373166, 13785009860988876960654522779539333951735270, 8700293801855403836423795110902814081, 363007, 13795343000732457924571739195623635960561841, 31598592823709105820432042321548324035327, 6227383687, 15511261255918264329292926, 357001369406641, 10333156189235688002892025799305647741655, 122002095511296120], 'label': '15944266600786427904000.a.697680._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035833
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13785018544306496159728921132279225521247135, 5041, 13785018544306495788026427293979902765932921, 13795343000723616162577999493669092344561840, 8683326460573880235220148944896000000, 7, 51212942959546373040, 10341831284004956816162169531924480000000, 21256786738714942292918812298182656000000, 31589909506090293933936402840517541590446, 13785009860980035198660783077584790336098150, 8700302654490730020560915303707372806, 10341839515685372987824689212030976000000, 13785018536074848861852204468837665101706464, 13785009860980035198660834168528263491711134, 13774086256169207815463526189837983488707247, 39921847, 13795351684050054167673422593384529728594248, 25852016740198918308607, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 126, 10333156189224814644652810365089506850622, 8708516640509581759241520673782814080, 31598592814867343826692340367004708035326, 25207863524243900604803433336952744, 13774086264400595038148511421253429083214934, 1307674373166, 363007, 6227383687, 15511261255918264329292926, 357001369406641, 10333156189235688002892025799305647741655, 13774086264400594650908797761596220386647696, 122002095511296120], 'label': '15944266600786427904000.a.697680._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035834
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10341839506877099750627878328883627165790, 5041, 13774086239192731514174694940706166385458481, 10333156189224799107640560005257789440001, 13763761782766813416761109470127492735730145, 7, 10341831284027573401353240873827168623920, 84814478508097488471599227704423643094359697, 84824820339381505139378921619554228054860806, 13774094930733199561716577047636964294418344, 10341831284004956816162169531924480000000, 8222838654177922817725562880000001, 10333156189235703514153160428083622313646, 10333147966386145415342528989921680060727, 8222838654177922939727658653387815, 56585499195126688051417973198715617280000000, 13774094930733199723061368942294020688622641, 8691540468370445130010191690746544598, 13763761782767051020577885831187884709352630, 13774086239192742096191786365570035673296409, 13774094930733188657310064568838389760000000, 13763753099449183701087533182824758546492585, 593579813069160799660943, 10333156189224799403309090421940475409863, 13774086247415580749830132620008198185034878, 121, 13774086239192731191271549462618322384501455, 121645100408832001, 25852016738884976640001, 6227020801, 8691540457481575679475824202129577368, 362881, 10333156189224799107589469063086080000000, 10341839506843611451711679300164768170118, 355687428096001, 13763761774543974762583186652401936479108169, 8691540468370470982027286269376681647, 10333156189224814644702742075922854313647, 10341839506843610994137871620393729953942, 8222849945772445935026263647671056, 39916801], 'label': '15944266600786427904000.a.697680._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035835
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [5041, 13774086239192731514174694940706166385458481, 10333156189224799107640560005257789440001, 7, 10341831284027573401353240873827168623920, 10341831292846719267528563529145504170118, 84814478508097488471599227704423643094359697, 10341831292880207566444762557864363165790, 84824820339381505139378921619554228054860806, 10333156198066561587005048670028176060727, 13774094930733199561716577047636964294418344, 10341831284004956816162169531924480000000, 13763761774553054128393702715416865445352630, 13774086239201583857645949504237178921034878, 10333156189235703514153160428083622313646, 56585499195126688051417973198715617280000000, 8841761993739823956639389387815, 13774094930733199723061368942294020688622641, 8691540468370445130010191690746544598, 13774086239192742096191786365570035673296409, 13774094930733188657310064568838389760000000, 13763753099449183701087533182824758546492585, 593579813069160799660943, 10333156189224799403309090421940475409863, 121, 13774086239192731191271549462618322384501455, 121645100408832001, 25852016738884976640001, 6227020801, 13763761774552816524576926354356473471730145, 8691540457481575679475824202129577368, 362881, 8841761993739701954543616000001, 10333156189224799107589469063086080000000, 355687428096001, 10341831292846718809954755849374465953942, 8853053588262819255244383671056, 13763761774543974762583186652401936479108169, 8691540468370470982027286269376681647, 10333156189224814644702742075922854313647, 39916801], 'label': '15944266600786427904000.a.697680._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035836
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [5041, 13774086239192731514174694940706166385458481, 10333156189224799107640560005257789440001, 7, 10341831284027573401353240873827168623920, 10341831292846719267528563529145504170118, 10341831292880207566444762557864363165790, 10333156198066561587005048670028176060727, 13774094930733199561716577047636964294418344, 10341831284004956816162169531924480000000, 13763761774553054128393702715416865445352630, 13774086239201583857645949504237178921034878, 10333156189235703514153160428083622313646, 56585499195126688051417973198715617280000000, 8841761993739823956639389387815, 13774094930733199723061368942294020688622641, 8691540468370445130010191690746544598, 13774086239192742096191786365570035673296409, 13774094930733188657310064568838389760000000, 13763753099449183701087533182824758546492585, 593579813069160799660943, 10333156189224799403309090421940475409863, 121, 13774086239192731191271549462618322384501455, 121645100408832001, 25852016738884976640001, 6227020801, 13763761774552816524576926354356473471730145, 98578231599332675279908946987959089110359697, 8691540457481575679475824202129577368, 362881, 8841761993739701954543616000001, 10333156189224799107589469063086080000000, 355687428096001, 10341831292846718809954755849374465953942, 8853053588262819255244383671056, 13763761774543974762583186652401936479108169, 8691540468370470982027286269376681647, 10333156189224814644702742075922854313647, 98588573430616691947688640903089674070860806, 39916801], 'label': '15944266600786427904000.a.697680._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035837
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10341839506877099750627878328883627165790, 5041, 13774086239192731514174694940706166385458481, 10333156189224799107640560005257789440001, 13763761782766813416761109470127492735730145, 7, 10341831284027573401353240873827168623920, 13774094930733199561716577047636964294418344, 10341831284004956816162169531924480000000, 8222838654177922817725562880000001, 10333156189235703514153160428083622313646, 10333147966386145415342528989921680060727, 8222838654177922939727658653387815, 56585499195126688051417973198715617280000000, 13774094930733199723061368942294020688622641, 8691540468370445130010191690746544598, 13763761782767051020577885831187884709352630, 13774086239192742096191786365570035673296409, 13774094930733188657310064568838389760000000, 13763753099449183701087533182824758546492585, 593579813069160799660943, 10333156189224799403309090421940475409863, 13774086247415580749830132620008198185034878, 121, 13774086239192731191271549462618322384501455, 121645100408832001, 25852016738884976640001, 6227020801, 98578231599332675279908946987959089110359697, 8691540457481575679475824202129577368, 362881, 10333156189224799107589469063086080000000, 10341839506843611451711679300164768170118, 355687428096001, 13763761774543974762583186652401936479108169, 8691540468370470982027286269376681647, 10333156189224814644702742075922854313647, 10341839506843610994137871620393729953942, 98588573430616691947688640903089674070860806, 8222849945772445935026263647671056, 39916801], 'label': '15944266600786427904000.a.697680._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035838
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13774094922519202830877185826523001424622641, 5041, 13774086239192731514174694940706166385458481, 10333147975227907409082230944465296060726, 10333156189224799107640560005257789440001, 84824820339390346901372661321508771670860807, 7, 10341831284027573401353240873827168623920, 10341831284038445572705060603320747165784, 8683326471478286798911515250112681647, 10341831284004956816162169531924480000000, 8231680416171662641682202269387814, 13774094922519202669532393931865945030418344, 8231691692254975593649821279671056, 10333156189235703514153160428083622313646, 10341839515685373445451381254708384170238, 56585499195126688051417973198715617280000000, 8231680416765242332749267295660943, 13763753091235186808903350067053739282492585, 13774086247424422511823872321962741801034758, 8691540468370445130010191690746544598, 13774094930733188657310064568838389760000000, 10341831284004956816215053894824622933142, 10333156189224799403309090421940475409863, 8231680416171662519680106496000000, 121, 13763761774544212366374110996723436852712630, 13763761774543974762583186652401929855730151, 25852016738884976640001, 121645100408832001, 6227020801, 13774086247424422512363448885250142169296409, 362881, 8683326460589391496360053182865577368, 13774086247424411607443211982298428880501455, 10333156189224799107589469063086080000000, 355687428096001, 10333156189224814644702742075922854313647, 39916801, 13763761782775655178754849172082042975108169, 84814478508106330233592967406378186710359703], 'label': '15944266600786427904000.a.697680._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035839
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13774094922519202830877185826523001424622641, 5041, 13774086239192731514174694940706166385458481, 10333147975227907409082230944465296060726, 10333156189224799107640560005257789440001, 7, 10341831284027573401353240873827168623920, 10341831284038445572705060603320747165784, 8683326471478286798911515250112681647, 10341831284004956816162169531924480000000, 8231680416171662641682202269387814, 13774094922519202669532393931865945030418344, 8231691692254975593649821279671056, 10333156189235703514153160428083622313646, 10341839515685373445451381254708384170238, 56585499195126688051417973198715617280000000, 8231680416765242332749267295660943, 13763753091235186808903350067053739282492585, 13774086247424422511823872321962741801034758, 8691540468370445130010191690746544598, 13774094930733188657310064568838389760000000, 10341831284004956816215053894824622933142, 10333156189224799403309090421940475409863, 8231680416171662519680106496000000, 121, 13763761774544212366374110996723436852712630, 13763761774543974762583186652401929855730151, 25852016738884976640001, 121645100408832001, 6227020801, 13774086247424422512363448885250142169296409, 98578231599332675279908946987959089110359697, 362881, 8683326460589391496360053182865577368, 13774086247424411607443211982298428880501455, 10333156189224799107589469063086080000000, 355687428096001, 10333156189224814644702742075922854313647, 98588573430616691947688640903089674070860806, 39916801, 13763761782775655178754849172082042975108169], 'label': '15944266600786427904000.a.697680._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035840
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13785018553050998384323731392393379840000000, 13837901018104601861182776585282030497925120, 8231691320578226211046411712681647, 5041, 8683326460573880235220148944896000000, 7, 74147926869404131254563161385069023658448, 13816635548057098931841548183922654947784670, 13806302408313574073186151946075673012030766, 13806302400081871137730934544772796078603521, 21265461833505988896796253469959129426345, 31589934696270214124199414634832626902961, 31589926482273321939965202646289170223688, 63806095585399158927242161465185252886609, 10333147975227906923406353292066816000000, 31589926482273321940018477553904761277665, 8231680416171662519680106496000000, 121, 6227020801, 25852016738884976640001, 121645100408832001, 63806087371402282714041477883657819708926, 8683326483158282020757219558811530591, 52882456821923012427130445549597703087665, 13816644239597556413443028457912990354691912, 1307674368001, 362881, 74147926869415020098212654306048958712240, 13837892334778141239042287721804705124094934, 8691540457756920104487266476515089568, 355687428096001, 31589934696270214098296301678429858320041, 31598609791039482937418462150000640000000, 13763761774543963858202475099776611394648376, 39916801, 63806087371515253364591076606423579549367, 10341831284015845711515817567243712681646, 74139243560627081335955328762013809524809, 10333147975238795818708788384426502313647, 42557992173144790488655339632721920000001], 'label': '15944266600786427904000.a.697680._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035841
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 5041, 13785009869733390461332538431303298404094934, 8683326460573880235220148944896000000, 7, 74147926869404131254563161385069023658448, 21265461833505988896796253469959129426345, 31589934696270214124199414634832626902961, 31589926482273321939965202646289170223688, 13774094922510350003132144178724191971784670, 63806095585399158927242161465185252886609, 13785018553059851083473027294780623777925120, 10333147975227906923406353292066816000000, 13837901018095749162033480682894786560000000, 13774086247415569860960633416325724818691912, 31589926482273321940018477553904761277665, 8231680416171662519680106496000000, 121, 6227020801, 25852016738884976640001, 121645100408832001, 63806087371402282714041477883657819708926, 8683326483158282020757219558811530591, 52882456821923012427130445549597703087665, 362881, 1307674368001, 74147926869415020098212654306048958712240, 8691540457756920104487266476515089568, 13763761782766825144476747940877210036030766, 355687428096001, 13763761774552805733009009943483420334603521, 31589934696270214098296301678429858320041, 31598609791039482937418462150000640000000, 39916801, 63806087371515253364591076606423579549367, 10341831284015845711515817567243712681646, 13806302400090712786911879104975074370648376, 74139243560627081335955328762013809524809, 10333147975238795818708788384426502313647, 42557992173144790488655339632721920000001], 'label': '15944266600786427904000.a.697680._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035842
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5814, 'diagramx': None, 'generators': [42045587979270113060887675145072387224019902, 8231691320578226211046411712681647, 13774095083728949227845027124007258218794528, 10888869501631296434215756926, 7, 28271492836032492543105929763498813085451641, 40279687, 42045587758780688945437395968761210643558814, 355693695033720, 42045587783750705990389052143051336158028806, 28271492844255342070749247826743510775299609, 10888869450539997261177195000, 121645106635852921, 42045587758551695181589193038921058292489169, 8852666400252302022983427840121, 13774094922510360892434224116211175364187382, 13774094922510360907512804383957991229680431, 10888895302556737453868119806, 42045587766765692089313007359699663721021654, 54913407809375046545210530846368, 42045587758542853419569550356204596942344649, 42045587758551695197316532486338529574236727, 6266937721, 25852016738891243582640, 10904380711552625318501356921, 5160, 28271492836032492527567958059463481467300623, 126, 13774094922510350003132141751112826880000001, 13774094922510350018724120300465136962590022, 362881, 25199055203203913459331523341266231, 28271492844264172959413594718315803186021454, 42045587758542853420163024919562928762249039, 42045587758780688960974672125714235831743055, 16994476328656930584709526615479686], 'label': '15944266600786427904000.a.11628._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035844
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [21256761539726765643469071016905037706470, 5041, 8683326460573880235220148944896000000, 21265453071308964231299014198289216098150, 7, 10333156198077449996631727753849263741654, 51212942959546373040, 10341831284004956816162169531924480000000, 21256786738714942292918812298182656000000, 31589909506090293933936402840517541590446, 10341839515685372987824689212030976000000, 8708525493144907943378640866587372807, 31589909506090309470947493609226048594248, 39921847, 25852016740198918308607, 10904406563691366305216681647, 126, 10333156189224814644652810365089506850622, 21265453080150726225089807096305987711135, 8841761993739701954543616000001, 16976476624217879956919557888707247, 25207863846902865188335003483214934, 21256769753690555043916373880364209247135, 25207863524243900604803433336952744, 8700293801855403836423795110902814081, 31598592823731690142255132237134840561841, 1307674373166, 363007, 16985024805485228710952231906647702, 31598592823709105820432042321548324035327, 6227383687, 15511261255918264329292926, 357001369406641, 21256769753690167830212492250055469932920, 122002095511296120], 'label': '15944266600786427904000.a.697680._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035845
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13774094939486533046649482656713536502814081, 5041, 8683326460573880235220148944896000000, 7, 10333156198077449996631727753849263741654, 51212942959546373040, 10341831284004956816162169531924480000000, 21256786738714942292918812298182656000000, 13785009860988876960654573870482807107711135, 13785009860980035198660783077584790336098150, 13785018544297654413246391473655667889247135, 13785018544297654026032687592025359149932920, 10341839515685372987824689212030976000000, 13774094947718224336153589611559292187372807, 13774086256169207815463526189837983488707247, 39921847, 13795351684050054167673422593384529728594248, 25852016740198918308607, 10904406563691366305216681647, 126, 13795343000732435340249916105708049444035327, 10333156189224814644652810365089506850622, 8841761993739701954543616000001, 13785018536083690623845944170792208717706470, 13774086264400595038148511421253429083214934, 13774086256177755996730874943870657506647702, 1307674373166, 363007, 13795343000732457924571739195623635960561841, 6227383687, 15511261255918264329292926, 357001369406641, 13774086264400594715489546837721858936952744, 122002095511296120, 13795351684050054152136411502615821221590446], 'label': '15944266600786427904000.a.697680._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035846
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13774094939486533046649482656713536502814081, 5041, 8683326460573880235220148944896000000, 21265453071308964231299014198289216098150, 7, 13763753099458036351382944657997228463741654, 51212942959546373040, 10341831284004956816162169531924480000000, 21256786738714942292918812298182656000000, 31589909506090293933936402840517541590446, 13785009860988876960654573870482807107711135, 13785018544297654413246391473655667889247135, 13785018544297654026032687592025359149932920, 10341839515685372987824689212030976000000, 13774094947718224336153589611559292187372807, 31589909506090309470947493609226048594248, 39921847, 25852016740198918308607, 10904406563691366305216681647, 126, 13795343000732435340249916105708049444035327, 10333156189224814644652810365089506850622, 16976476624217879956919557888707247, 25207863846902865188335003483214934, 25207863524243900604803433336952744, 13785018536083690623845944170792208717706470, 13774086256177755996730874943870657506647702, 1307674373166, 363007, 13795343000732457924571739195623635960561841, 6227383687, 13774086239201572953239385934872969216000001, 15511261255918264329292926, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035847
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333147975238795792856771644227584000001, 8231680416171713610622278205440127, 8683326460573880235220148944896000000, 10341831284309489723751167350956705674470, 42557992173144935133097440498276642710711, 42549325840561657445578334340747098461151, 21265453071342452907981518710902460841641, 10341831284004972327423304171941965104968, 42549317078364632780082639163883520000001, 21265470047492007722787785937146543853937, 10333156189224799107589469063092307020801, 10333156189224799107589590708186488832001, 52891165338563506445922979771711530710695, 10333173165418731468477683486733510079151, 10333156189224799107589469064393754368001, 10333156189224799107589469063086080362881, 10341839515685372987824689212030976000126, 63814761935687609207911507004510410080006, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 10333147975238811329970044658372032681647, 74139235328980155133576393471968842090881, 31598618022719899109080981830107136000000, 10333156189224799107589469063086119916801, 8231680416171662519680106496000000, 31598601046547775509513690790825069751697, 8683326483158282020757219558811530591, 10333156189224799107589469063086080000000, 10333156189224799107589469063086080005041, 42549308864367756107109566725164184543009, 31598601046537048036610294908058242441656, 21265444857323105535103259342160932023681, 74147926869708681402233595294610104794736, 31589926482262433044664817068063152896289, 74147926869415359563400274188789752394833, 63814770680179332121123981557725754233038, 8683326471462775588868184264128681646], 'label': '15944266600786427904000.a.697680._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035848
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13763761799751838206735025833879057606079151, 10333147975238795792856771644227584000001, 8231680416171713610622278205440127, 8683326460573880235220148944896000000, 10341831284309489723751167350956705674470, 42557992173144935133097440498276642710711, 10341831284004972327423304171941965104968, 42549317078364632780082639163883520000001, 13827559161612733427465733050710905034080006, 21265470047492007722787785937146543853937, 10333156189224799107589469063092307020801, 10333156189224799107589590708186488832001, 13785009852766049210831408285114240109751697, 10333156189224799107589469064393754368001, 10341839515685372987824689212030976000126, 10333156189224799107589469063086080362881, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 10333147975238811329970044658372032681647, 74139235328980155133576393471968842090881, 31598618022719899109080981830107136000000, 13806311100384525515648052794244071466710695, 13816635573247289740875407683030191962461151, 10333156189224799107589469063086119916801, 8231680416171662519680106496000000, 13795343008955274139072176791791748132023681, 8683326483158282020757219558811530591, 10333156189224799107589469063086080000000, 10333156189224799107589469063086080005041, 13785009852766038483358504889231473282441656, 42549308864367756107109566725164184543009, 13795343000723616178089209415709363900841641, 74147926869708681402233595294610104794736, 31589926482262433044664817068063152896289, 74147926869415359563400274188789752394833, 63814770680179332121123981557725754233038, 8683326471462775588868184264128681646], 'label': '15944266600786427904000.a.697680._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035849
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [31589934696553002044127837309727416794736, 13816644231365875981734301572551147520000001, 10333147975238795792856771644227584000001, 8231680416171713610622278205440127, 8683326460573880235220148944896000000, 10341831284309489723751167350956705674470, 8708516651382914096506995867690710694, 10341831284004972327423304171941965104968, 13837892334778130365684098321743804075757937, 10333156189224799107589590708186488832001, 10333156189224799107589469063092307020801, 13827567861915366124919633086944164272896288, 10333173165418731468477683486733510079151, 10333156189224799107589469063086080362881, 10333156189224799107589469064393754368001, 10341839515685372987824689212030976000126, 21256769762542818719256167371788490080007, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 10333147975238811329970044658372032681647, 31598618022719899109080981830107136000000, 13837892309587961463496413795504505892023680, 10333156189224799107589469063086119916801, 13816635556271095839536938915414609048543009, 10333164951421823773085164595637086557151, 8231680416171662519680106496000000, 13816644239597556542550406193096808738710711, 13837892326564144701808701221804271608394833, 8683326483158282020757219558811530591, 10333156189224799107589469063086080000000, 10333156189224799107589469063086080005041, 31598601046537048036610294908058242441656, 13827559169844413843611490924278123629751703, 13827559186820585982722270564624333370233038, 13837901018104624429507714012927379018090881, 13837892317801980810869292054873247420841640, 8683326471462775588868184264128681646], 'label': '15944266600786427904000.a.697680._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035850
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [31589934696553002044127837309727416794736, 13816644231365875981734301572551147520000001, 74147901679224372460847298622123676809656, 10333147975238795792856771644227584000001, 8231680416171713610622278205440127, 8683326460573880235220148944896000000, 10341831284309489723751167350956705674470, 42549325840561657445578334340747098461151, 10341831284004972327423304171941965104968, 13837892334778130365684098321743804075757937, 10333156189224799107589590708186488832001, 10333156189224799107589469063092307020801, 13785009852766049210831408285114240109751697, 52891165338563506445922979771711530710695, 13827567861915366124919633086944164272896288, 10333156189224799107589469064393754368001, 10333156189224799107589469063086080362881, 10341839515685372987824689212030976000126, 63814761935687609207911507004510410080006, 10333156189224799107589469063086080000007, 52882482029786472064377206879597766079145, 10333156189224799107589469418773508096001, 10333147975238811329970044658372032681647, 31598618022719899109080981830107136000000, 10333156189224799107589469063086119916801, 13816635556271095839536938915414609048543009, 8231680416171662519680106496000000, 13795343008955274139072176791791748132023681, 13816644239597556542550406193096808738710711, 13837892326564144701808701221804271608394833, 8683326483158282020757219558811530591, 10333156189224799107589469063086080000000, 10333156189224799107589469063086080005041, 13795343000723616178089209415709363900841641, 13827559186820585982722270564624333370233038, 13837901018104624429507714012927379018090881, 8683326471462775588868184264128681646], 'label': '15944266600786427904000.a.697680._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035851
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [63814761926845847188267158937078893751697, 42557992173155808465434829126506233744984, 10341831284309489723751167350956705674470, 42558017372199961349340552978632380841641, 10341831284004972327423304171941965104968, 21265470047502881055125174567979109406142, 10333156189224799107589590708186488832001, 10341831284004956816213260474096189440001, 8691540457466064418335919964160000000, 10333156189224799107589469064393754368001, 10333156189224799107589469063086080362881, 42558009158180613976462293609890852023681, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 10341839515685372987824689212030976000000, 31598618022719899109080981830107136000000, 52882482020944855930071255078849871257463, 74147926869404486179256913488647606874878, 10333156189224799107589469063086119916801, 21265444848470325564637727684645170867504, 8231680416171662519680106496000000, 126, 8683326483158282020757219558811530591, 10341848269029746790131283931454971798441, 31589926482273337451228265144167551913934, 63814770680190205505267585548056264111233, 15511210043330985984000001, 10333156189224799107589469063086080005041, 42549308864378629491253171426869550613454, 8691540468370470982027286269376681647, 63806070386377476769091591032558048718944, 74147926869708681402233595294610104794736, 10341839515685372987824811214132754601647, 25903107681056686080000, 42557992173144790488655339632721920000001, 74139235328969281749432788770263476030766, 31589917728918074779470983926107546832968], 'label': '15944266600786427904000.a.697680._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035852
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333164942580223149988615913658676889463, 10341831284309489723751167350956705674470, 13806302408304720583502627839978810495913934, 10341831284004972327423304171941965104968, 13827567861906535251821244861865705774250574, 10333156189224799107589590708186488832001, 10341831284004956816213260474096189440001, 21256761539693260160671471548781024718950, 13816644231374728632597491820535629925406142, 8691540457466064418335919964160000000, 13816644239588725524807580221928868175279233, 10333156189224799107589469063086080362881, 10333156189224799107589469064393754368001, 13806311083399490207266390733388393993895678, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 10341839515685372987824689212030976000000, 13806302408304732311192412244121129396030767, 31598618022719899109080981830107136000000, 10333156189224799107589469063086119916801, 21265444848470325564637727684645170867504, 13837901018095749162033480682894786560000000, 8231680416171662519680106496000000, 13827559178597758331009914765440526720912984, 126, 8683326483158282020757219558811530591, 10341848269029746790131283931454971798441, 15511210043330985984000001, 10333156189224799107589469063086080005041, 13827559169844413972744669961892545572023680, 8691540468370470982027286269376681647, 13816644256573750330266852306639457389751703, 31598609791333159752700537778565816794736, 13827559161612756011761702585810161340841640, 10341839515685372987824811214132754601647, 25903107681056686080000, 31589917728918074779470983926107546832968], 'label': '15944266600786427904000.a.697680._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035853
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [121645106675769727, 10333156198066561101329171018937410284806, 13774104132098484444425662582694276082016567, 98631086953678383232981263129599931418735943, 42045579083448152742622098671847441319742647, 10341831284004956816162169531924480000000, 98631096163257665023385848735879054425357942, 98620745122385536514171414398925624212567271, 1307674368001, 6266937726, 56585499203349537609976609106392217864426281, 5046, 70349270179249955477789358057158385227863385, 51090942177936465967, 28271519420478714151166879142434543017123505, 7, 126, 98620771698600055928348457728779223040000000, 10333147966397081653555359716350054538584, 39916806, 84867343072022489103971110879966024898416849, 70359594125859876708728037767554007040000000, 25852016738885016561841, 355693655116800, 15511210043330992251300487, 10333156189224799107589469063086080000000, 28281834675548403776117292985114905234316927, 28271519412448294548164480442007588414928041, 8222849558584486387089772545105846, 42035254610777705325364624882604729984145847, 13774104140312492225453121931118841928836190, 10888869450418352160807916807, 10333156198213003731053735217800502455753, 363000, 70349252294576052474315097425481834881413160, 42045605659662592676039144732861261431960608, 10341839525159495992610909158857772375806, 84857000714476810279742037638968057963492438, 84857000714485652041735990929734865219136871, 13774094930879715817470137809775483977712344, 84857000722900909665836175086184351236585646, 13774094930733188657310064568838389760000000, 42045579083466366562537731451387580092473607, 13763779667440875349362526727050772484153720, 98631096171498864989420759945666141569983216], 'label': '15944266600786427904000.a.11628._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '11628.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '11628._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035854
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10341831284309489723751167350956705674470, 13806302408304720583502627839978810495913934, 10341831284004972327423304171941965104968, 13827567861906535251821244861865705774250574, 10333156189224799107589590708186488832001, 10341831284004956816213260474096189440001, 74147901670382449096464200104801582771504, 13816644231374728632597491820535629925406142, 13774086264400605539778196967006735469751697, 8691540457466064418335919964160000000, 13816644239588725524807580221928868175279233, 10333156189224799107589469063086080362881, 10333156189224799107589469064393754368001, 63806078618057908451964154026904986832969, 13806311083399490207266390733388393993895678, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 52882473806936913505795587175374331798440, 10341839515685372987824689212030976000000, 13806302408304732311192412244121129396030767, 31598618022719899109080981830107136000000, 52882482020944855930071255078849871257463, 10333156189224799107589469063086119916801, 13837901018095749162033480682894786560000000, 8231680416171662519680106496000000, 13795343008955274139072176791791748132023681, 13827559178597758331009914765440526720912984, 126, 8683326483158282020757219558811530591, 15511210043330985984000001, 10333156189224799107589469063086080005041, 13795343000723616178089209415709363900841641, 8691540468370470982027286269376681647, 31598609791333159752700537778565816794736, 63806070386377476769091591032558048718944, 10341839515685372987824811214132754601647, 25903107681056686080000], 'label': '15944266600786427904000.a.697680._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035855
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 42557992173155808465434829126506233744984, 13827559161621564285078810874549944658929982, 8231680416197514536418991472640001, 13816644256564897792999830133528748854257966, 10341831284309489723751167350956705674470, 13806302417066895991799863923499203202441656, 10341831284004972327423304171941965104968, 21265470047502881055125174567979109406142, 13785018536083668007206693759976341546710695, 10333156189224799107589590708186488832001, 13795343008946432232434048648762462042461151, 8691540457466064418335919964160000000, 10333156189224799107589469063086080362881, 10333156189224799107589469064393754368001, 10341831284015845685663800828358736041647, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 13816644248350923356055944255530319619840006, 10341839515685372987824689212030976000000, 31598618022719899109080981830107136000000, 13763753108202538978702772442101993674080006, 8683326460573880235220148951163305646, 74147926869404486179256913488647606874878, 10333156189224799107589469063086119916801, 8231680416171662519680106496000000, 126, 8683326483158282020757219558811530591, 52891148362369589596244808695808000000001, 31589926482273337451228265144167551913934, 63814770680190205505267585548056264111233, 8691540468354933868876274226706601646, 13827567853162032655497986442487968966079151, 10333156189224799107589469063086080005041, 42549308864378629491253171426869550613454, 74147926869708681402233595294610104794736, 74139235328969281749432788770263476030766], 'label': '15944266600786427904000.a.697680._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035856
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 13816644239588715006373980202451480073895678, 8231680416197514536418991472640001, 10341831284309489723751167350956705674470, 13816635548048279801944156077733089716030767, 42549325840561657445578334340747098461151, 13806302408304720583502627839978810495913934, 10341831284004972327423304171941965104968, 13763761799743008124708300898525495043840007, 10333156189224799107589590708186488832001, 52891165338563506445922979771711530710695, 13816644231374728632597491820535629925406142, 8691540457466064418335919964160000000, 10333156189224799107589469064393754368001, 10333156189224799107589469063086080362881, 63814761935687609207911507004510410080006, 10341831284015845685663800828358736041647, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 10341839515685372987824689212030976000000, 31598618022719899109080981830107136000000, 8683326460573880235220148951163305646, 10333156189224799107589469063086119916801, 42558017381019139021206073736475846079145, 31589926482556109859944721538708152794736, 13837901018095749162033480682894786560000000, 13827559178597758201928489045625848110250574, 13785018544297654010547329687077044562929976, 8231680416171662519680106496000000, 126, 8683326483158282020757219558811530591, 8691540468354933868876274226706601646, 10333156189224799107589469063086080005041, 13806311083399500725699990752865782095279233, 13763761791528988777283820544981885750257967, 13827567861906535380902670581680384384912984, 63806070395219415644685129090199196809656], 'label': '15944266600786427904000.a.697680._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035865
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13795351692272882320169797826947734705247135, 13795351692272881932956093945317425965932920, 25199021697695263723326272502814081, 5041, 7, 8700302643681952473305272271736952744, 10333156198077449996631727753849263741654, 51212942959546373040, 13774094947718213462795293279790621666647702, 10341831284004956816162169531924480000000, 13774094922519191765125881453067370496000000, 21256786738714942292918812298182656000000, 31589909506090293933936402840517541590446, 13785009860988876960654573870482807107711135, 16985035678843525042720902427372807, 10341839515685388524888030514034402850622, 10341839515685372987824689212030976000000, 8683317618811886495518194401280000001, 13795351684041235006781871120175188301706470, 13774086256169207815463526189837983488707247, 39921847, 25852016740198918308607, 10904406563691366305216681647, 126, 13785009852757230017648332842331569144561841, 13774086264400595038148511421253429083214934, 1307674373166, 363007, 31598592823709105820432042321548324035327, 13795343008955263105584189430876857152098150, 6227383687, 13785018536074826260750016240092462912594248, 15511261255918264329292926, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035857
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 13816644239588715006373980202451480073895678, 13827559161621564285078810874549944658929982, 8231680416197514536418991472640001, 13816644256564897792999830133528748854257966, 10341831284309489723751167350956705674470, 10333173165418715957268280366656350557151, 13816635548048279801944156077733089716030767, 13806302408304720583502627839978810495913934, 10341831284004972327423304171941965104968, 10333156189224799107589590708186488832001, 13816644231374728632597491820535629925406142, 10333173165418731468477683486733510079151, 8691540457466064418335919964160000000, 10333156189224799107589469064393754368001, 10333156189224799107589469063086080362881, 10341831284015845685663800828358736041647, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 8700302654490729913391224848426710694, 13816644248350923356055944255530319619840006, 10341839515685372987824689212030976000000, 31598618022719899109080981830107136000000, 8683326460573880235220148951163305646, 10333156189224799107589469063086119916801, 13827559178597758201928489045625848110250574, 31589926482556109859944721538708152794736, 13837901018095749162033480682894786560000000, 8231680416171662519680106496000000, 126, 8683326483158282020757219558811530591, 8691540468354933868876274226706601646, 10333156189224799107589469063086080005041, 13806311083399500725699990752865782095279233, 31598601046537048036610294908058242441656, 21256761530862402547593647691681994080007, 13827567861906535380902670581680384384912984], 'label': '15944266600786427904000.a.697680._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035858
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333156189224799107640560005257789440001, 13785018544297654026058540126991110450867504, 10341831284309489723751167350956705674470, 42558017372166601754183900610323254257966, 10341831284004972327423304171941965104968, 8683326460573880235341794045304832001, 13837892334778434915831717658681111224794736, 10333156189224799107589591065187858601647, 10341831284004956816162169531924480000000, 8691540457466064418335919964160000000, 42558009158192164810298022611894019840006, 8683326460573880235220150252570368001, 8683326460573880235220148944896362881, 31589934696259340765958919080268463853937, 8683326460573880235220504632324096001, 52882482020944855930071255078849871257463, 31598618022719899109080981830107136000000, 13795343000732424466917527747781447066832968, 13774094939486533031112371163557813755798441, 8683326460573880235220148944935916801, 13816635556271095839536938915414609048543009, 8231680416171662519680106496000000, 13816644239597556542550406193096808738710711, 126, 52891157115713963424452973375832402929982, 13837892326564144701808701221804271608394833, 8683326483158282020757219558811530591, 10333147975227906949258370030951792640001, 13837901009872910507855557865169223680000001, 8683326460573880235220148944896005041, 8683326460573880235220148944896000007, 10333147975227922434616396623052800000001, 63806070386377476769091591032558048718944, 21265461833495100001493683924941232896289, 13827559186820585982722270564624333370233038, 13837901018104624429507714012927379018090881, 21265461833506004408055204133326272681647], 'label': '15944266600786427904000.a.697680._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035859
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10333156189224799107640560005257789440001, 13816644256564897792999830133528748854257966, 10341831284309489723751167350956705674470, 10341831284004972327423304171941965104968, 8683326460573880235341794045304832001, 13837892334778434915831717658681111224794736, 10333156189224799107589591065187858601647, 10341831284004956816162169531924480000000, 8691540457466064418335919964160000000, 8683326460573880235220148944896362881, 8683326460573880235220150252570368001, 13806302425280903757316384185322229071257463, 31589934696259340765958919080268463853937, 8683326460573880235220504632324096001, 13816644248350923356055944255530319619840006, 13827567844930341334971566690807861728718944, 31598618022719899109080981830107136000000, 8683326460573880235220148944935916801, 21265444848470325564637727684645170867504, 13816635556271095839536938915414609048543009, 8231680416171662519680106496000000, 13816644239597556542550406193096808738710711, 126, 13837892326564144701808701221804271608394833, 10341848269029746790131283931454971798441, 8683326483158282020757219558811530591, 10333147975227906949258370030951792640001, 13837901009872910507855557865169223680000001, 8683326460573880235220148944896005041, 13806311100375672864810765903619211602929982, 8683326460573880235220148944896000007, 10333147975227922434616396623052800000001, 21265461833495100001493683924941232896289, 13827559186820585982722270564624333370233038, 13837901018104624429507714012927379018090881, 21265461833506004408055204133326272681647, 31589917728918074779470983926107546832968], 'label': '15944266600786427904000.a.697680._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035860
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [63806087362583136819766137432740276030767, 42549317087206410285032384449413120000006, 5046, 8683326460573880235220148944896000000, 21265444848470439134902048617030454257967, 10341831284309489723751167350956705674470, 8683326460573880286311091116605440006, 42549325840561657445578334340747098461151, 42549334054581149462845034784231100841640, 74139243551785303831005583119482880000000, 31598601037695286042870592954822300809656, 63814778903311647603116525604926136794736, 31598618022719899109080981830107136000000, 8683326460589391447691100972979065038, 52882456830753885525568345888307632896289, 42558000395983460203691314757391023853937, 21256786738714957830032085312327104681641, 10333147975227906923406353292066816000000, 8231680416171662519680106496000000, 42557992181997441377748689621270830250574, 126, 6227020806, 121645100408832006, 8683326483158282020757219558811530591, 10341848269029746790131283931454971798441, 63814770689031967498953890953974074870695, 362886, 1307674368006, 355687428096006, 21265470047492136830116851048695451542711, 10333164942580077290554865761170630079145, 8683326460573880235220148944896000007, 8691540468370470982027286269376681647, 39916806, 52891165338563521957133023104011373751703, 10341839515696616833723862086930341374033, 31589917728918074779470983926107546832968], 'label': '15944266600786427904000.a.697680._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035861
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [63806087362583136819766137432740276030767, 42549317087206410285032384449413120000006, 5046, 8683326460573880235220148944896000000, 10341831284309489723751167350956705674470, 8683326460573880286311091116605440006, 42558017372199961349340552978632380841641, 74139243551785303831005583119482880000000, 10333173165418731468477683486733510079151, 21265444857312201128641750571574070257966, 63814778903311647603116525604926136794736, 31598618022719899109080981830107136000000, 10341856491868400968054101657017851798440, 8683326460589391447691100972979065038, 52882456830753885525568345888307632896289, 42558000395983460203691314757391023853937, 21256786738714957830032085312327104681641, 10333147975227906923406353292066816000000, 8231680416171662519680106496000000, 42557992181997441377748689621270830250574, 126, 6227020806, 121645100408832006, 8683326483158282020757219558811530591, 42558009158180469332073852890835806557151, 63814770689031967498953890953974074870695, 31589917720076312785731281971563930832969, 1307674368006, 362886, 355687428096006, 21265470047492136830116851048695451542711, 8683326460573880235220148944896000007, 8691540468370470982027286269376681647, 31598601046537048036610294908058242441656, 39916806, 10341839515696616833723862086930341374033, 52882482020944710070637504909610093751697], 'label': '15944266600786427904000.a.697680._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035862
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [63806087362583136819766137432740276030767, 13816635573247278981113334615334347574257967, 21265470047502896592238319904345536681647, 8683326460573880235220148944896000000, 10341831284309489723751167350956705674470, 74139243551785303831005583119482880000000, 13806311100384514642315715648906055066832968, 10333156189224799107589469063092307020801, 10333156189224799107589590708186488832001, 42557992181986568019508314601409984681646, 13795343008946432232434048648762462042461151, 10333156189224799107589469064393754368001, 10333156189224799107589469063086080362881, 10333156189224799107589469063086080000121, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 63814778903311647603116525604926136794736, 63814770689021094114861377536327680000001, 31598618022719899109080981830107136000000, 8683326460589391447691100972979065038, 52882456830753885525568345888307632896289, 42558000395983460203691314757391023853937, 10333147975227906923406353292066816000000, 10333156189224799107589469063086119916801, 8231680416171662519680106496000000, 42557992181997441377748689621270830250574, 13806311100384514803686359441694912156809656, 52891140139530935418373081912416829440001, 8683326483158282020757219558811530591, 63814770689031967498953890953974074870695, 13785009852757207448837668583159696493751703, 10333156189224799107589469063086080005041, 13827559161612722523059169602634800635798441, 21265470047492136830116851048695451542711, 13837901001128418800427653093825492166079145, 13795343000732457940082949117663907516841640, 10341839515696616833723862086930341374033], 'label': '15944266600786427904000.a.697680._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035863
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [63806087362583136819766137432740276030767, 21265470047502896592238319904345536681647, 13816644256564897792999830133528748854257966, 13795343008955273994427788351072693086557151, 8683326460573880235220148944896000000, 10341831284309489723751167350956705674470, 13806302417066895991799863923499203202441656, 13806302417066895830429220130711653786832969, 74139243551785303831005583119482880000000, 10333156189224799107589469063092307020801, 10333156189224799107589590708186488832001, 42557992181986568019508314601409984681646, 13785009852766049210831408285114240109751697, 10333156189224799107589469064393754368001, 10333156189224799107589469063086080362881, 10333156189224799107589469063086080000121, 10333156189224799107589469063086080000007, 10333156189224799107589469418773508096001, 63814778903311647603116525604926136794736, 63814770689021094114861377536327680000001, 31598618022719899109080981830107136000000, 8683326460589391447691100972979065038, 52882456830753885525568345888307632896289, 42558000395983460203691314757391023853937, 10333147975227906923406353292066816000000, 10333156189224799107589469063086119916801, 8231680416171662519680106496000000, 42557992181997441377748689621270830250574, 52891140139530935418373081912416829440001, 8683326483158282020757219558811530591, 63814770689031967498953890953974074870695, 13827567853162032655497986442487968966079151, 13837892309579108667988836253972323835798440, 10333156189224799107589469063086080005041, 21265470047492136830116851048695451542711, 13795343000723616178089209415709363900841641, 10341839515696616833723862086930341374033], 'label': '15944266600786427904000.a.697680._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035866
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13795351692272882320169797826947734705247135, 13795351692272881932956093945317425965932920, 5041, 7, 21256761530862387010530049548450725590446, 10333156198077449996631727753849263741654, 51212942959546373040, 13774094947718213462795293279790621666647702, 10341831284004956816162169531924480000000, 21256786738714942292918812298182656000000, 13785009860988876960654573870482807107711135, 10341839515685388524888030514034402850622, 10341839515685372987824689212030976000000, 8683317618811886495518194401280000001, 8708525493144907943378640866587372807, 13795351684041235006781871120175188301706470, 13774086256169207815463526189837983488707247, 39921847, 21265444848481198897025689029481508035327, 25852016740198918308607, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 126, 13785009852757230017648332842331569144561841, 25207863524243900604803433336952744, 13774086264400595038148511421253429083214934, 8700293801855403836423795110902814081, 1307674373166, 363007, 13795343008955263105584189430876857152098150, 6227383687, 13785018536074826260750016240092462912594248, 15511261255918264329292926, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035867
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [5041, 7, 8700302643681952473305272271736952744, 51212942959546373040, 10341831284004956816162169531924480000000, 13774094922519191765125881453067370496000000, 21256786738714942292918812298182656000000, 31589909506090293933936402840517541590446, 10341839515685388524888030514034402850622, 13785018544297654413246391473655667889247135, 13785018544297654026032687592025359149932920, 10341839515685372987824689212030976000000, 8708525493144907943378640866587372807, 13774086256169207815463526189837983488707247, 39921847, 21265444848481198897025689029481508035327, 25852016740198918308607, 10904406563691366305216681647, 126, 8841761993739701954543616000001, 13785018536083690623845944170792208717706470, 13774086264400595038148511421253429083214934, 13774086256177755996730874943870657506647702, 1307674373166, 8700293801855403836423795110902814081, 363007, 13795343000732457924571739195623635960561841, 13795343008946421343590500819865786691711135, 13795343008955263105584189430876857152098150, 6227383687, 13785018536074826260750016240092462912594248, 15511261255918264329292926, 10341839506854499889387543993706927741654, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035868
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13795351692272882320169797826947734705247135, 13774094939495375195857084121722267483214934, 13795351692272881932956093945317425965932920, 25199021697695263723326272502814081, 5041, 7, 21256761530862387010530049548450725590446, 21265470047491992185674628538040320000000, 8700302643681952473305272271736952744, 10333156198077449996631727753849263741654, 51212942959546373040, 10341831284004956816162169531924480000000, 13785009860988876960654573870482807107711135, 16985035678843525042720902427372807, 10341839515685388524888030514034402850622, 10341839515685372987824689212030976000000, 8683317618811886495518194401280000001, 13795351684041235006781871120175188301706470, 39921847, 21265444848481198897025689029481508035327, 25852016740198918308607, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 126, 13774094947709665281527944525757947648707247, 13785009852757230017648332842331569144561841, 13774086256177755996730874943870657506647702, 1307674373166, 363007, 13795343008955263105584189430876857152098150, 6227383687, 13785018536074826260750016240092462912594248, 15511261255918264329292926, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035869
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13774094939495375195857084121722267483214934, 5041, 7, 21256761530862387010530049548450725590446, 21265470047491992185674628538040320000000, 8700302643681952473305272271736952744, 51212942959546373040, 13774094947718213462795293279790621666647702, 10341831284004956816162169531924480000000, 10341839515685388524888030514034402850622, 13785018544297654413246391473655667889247135, 13785018544297654026032687592025359149932920, 10341839515685372987824689212030976000000, 8708525493144907943378640866587372807, 39921847, 25852016740198918308607, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 126, 13774094947709665281527944525757947648707247, 8841761993739701954543616000001, 13785018536083690623845944170792208717706470, 8700293801855403836423795110902814081, 1307674373166, 31598592823709105820432042321548324035327, 13795343000732457924571739195623635960561841, 363007, 13795343008946421343590500819865786691711135, 13795343008955263105584189430876857152098150, 6227383687, 13785018536074826260750016240092462912594248, 15511261255918264329292926, 10341839506854499889387543993706927741654, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035870
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13795351692272882320169797826947734705247135, 13795351692272881932956093945317425965932920, 5041, 7, 21256761530862387010530049548450725590446, 21265470047491992185674628538040320000000, 8700302643681952473305272271736952744, 51212942959546373040, 10341831284004956816162169531924480000000, 13774094922519191765125881453067370496000000, 13785009860988876960654573870482807107711135, 10341839515685388524888030514034402850622, 13785009860980035198660783077584790336098150, 10341839515685372987824689212030976000000, 8708525493144907943378640866587372807, 13795351684041235006781871120175188301706470, 13774086256169207815463526189837983488707247, 39921847, 13795351684050054167673422593384529728594248, 25852016740198918308607, 10904406563691366305216681647, 126, 13785009852757230017648332842331569144561841, 8841761993739701954543616000001, 13774086264400595038148511421253429083214934, 13774086256177755996730874943870657506647702, 8700293801855403836423795110902814081, 1307674373166, 31598592823709105820432042321548324035327, 363007, 6227383687, 15511261255918264329292926, 10341839506854499889387543993706927741654, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035871
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [25199021697695263723326272502814081, 5041, 7, 21256761530862387010530049548450725590446, 21265470047491992185674628538040320000000, 8700302643681952473305272271736952744, 10333156198077449996631727753849263741654, 51212942959546373040, 13774094947718213462795293279790621666647702, 10341831284004956816162169531924480000000, 13774094922519191765125881453067370496000000, 16985035678843525042720902427372807, 13785009860980035198660783077584790336098150, 10341839515685388524888030514034402850622, 13785018544297654413246391473655667889247135, 13785018544297654026032687592025359149932920, 10341839515685372987824689212030976000000, 8683317618811886495518194401280000001, 13774086256169207815463526189837983488707247, 39921847, 21265444848481198897025689029481508035327, 13795351684050054167673422593384529728594248, 25852016740198918308607, 10904406563691366305216681647, 126, 13785018536083690623845944170792208717706470, 13774086264400595038148511421253429083214934, 1307674373166, 363007, 13795343000732457924571739195623635960561841, 13795343008946421343590500819865786691711135, 6227383687, 15511261255918264329292926, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035872
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [21265444848481198897081646131350811372807, 5041, 8683326460573880235220148944896000000, 7, 13795343008946421359075858846812267490647702, 51212942959546373040, 10341831284004956816162169531924480000000, 13785009860988876960654573870482807107711135, 13785018544297654413246391473655667889247135, 13785018544297654026032687592025359149932920, 13763753108211369836315799174643180352098150, 10341839515685372987824689212030976000000, 13774094947709382589696804921984958272594248, 13774086256169207815463526189837983488707247, 21256786729873180299179110343639040000001, 39921847, 25852016740198918308607, 10904406563691366305216681647, 10333173165418715957318731440946085590446, 13774086239192731191245646232918425600000000, 126, 10333156189224814644652810365089506850622, 31589926473431559946225500691818927741654, 21265453080150741736299730645808118814081, 25207863524243900604803433336952744, 13785018536083690623845944170792208717706470, 13774086264400595038148511421253429083214934, 1307674373166, 363007, 13795343000732457924571739195623635960561841, 31598592823709105820432042321548324035327, 6227383687, 15511261255918264329292926, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035873
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [21265444848481198897081646131350811372807, 5041, 8683326460573880235220148944896000000, 7, 13795343025931446133538565045216608256000000, 10333156198077449996631727753849263741654, 51212942959546373040, 10341831284004956816162169531924480000000, 31589909506090293933936402840517541590446, 13763753108211369836315799174643180352098150, 10341839515685372987824689212030976000000, 21256761530851578233038872293917560952744, 13763753108202528074322110563632109891711135, 13774094947709382589696804921984958272594248, 13774086256169207815463526189837983488707247, 39921847, 25852016740198918308607, 10904406563691366305216681647, 126, 10333156189224814644652810365089506850622, 13763761791528988663687703689083749165932920, 13763761791528989050901407570714057905247135, 8841761993739701954543616000001, 13763761799743019045869326499392637261706470, 21265453080150741736299730645808118814081, 13774086264400595038148511421253429083214934, 13774086256177755996730874943870657506647702, 1307674373166, 363007, 31598592823709105820432042321548324035327, 6227383687, 15511261255918264329292926, 13774086264391786346595121524224064504561841, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035874
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [5041, 8683326460573880235220148944896000000, 7, 13795343008946421359075858846812267490647702, 10341856483037527843814370921976868035327, 13795343025931446133538565045216608256000000, 51212942959546373040, 10341831284004956816162169531924480000000, 31589909506090293933936402840517541590446, 13785009860988876960654573870482807107711135, 13785018544297654413246391473655667889247135, 13785018544297654026032687592025359149932920, 13763753108211369836315799174643180352098150, 10341839515685372987824689212030976000000, 21256761530851578233038872293917560952744, 13774094947709382589696804921984958272594248, 8708525493144907943378640866587372807, 13774086256169207815463526189837983488707247, 21256786729873180299179110343639040000001, 39921847, 10904406563691366305216681647, 25852016740198918308607, 126, 10333156189224814644652810365089506850622, 31589926473431559946225500691818927741654, 13785018536083690623845944170792208717706470, 13774086264400595038148511421253429083214934, 1307674373166, 8700293801855403836423795110902814081, 363007, 13795343000732457924571739195623635960561841, 6227383687, 15511261255918264329292926, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035875
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [10341831311162603834331022714001830308487, 84835743961177639213661492889685774386099857, 28271510728929414907623311865396105911691592, 98588582640187131169490283456404097339739446, 10341831284015893540102090142335984797664, 5041, 84824829557192466539371767320301328214861105, 7, 84857018615596549536210400964923883520000000, 42056502697012538615072390507958666359742847, 28271510728929404019267688553200100860768686, 8691540457466064418335919964160000000, 10333156189235687977734412024504337705646, 56585499195126688051875600146851753313056865, 13763753099449194604874670677720134307542326, 51090942171709440001, 21274654427762989301079910719160320000000, 28314032943540417147448885271758138410499207, 13774094930733188657310064568838389760000000, 98631104854789291616325548963601239323549566, 56553327503357831773971670129172638973776697, 121, 28281843885118628817835598899351388160000000, 84835735269628339969740205158271677480333654, 28281852560213419864979474178487053177139896, 6227020801, 121645100408832001, 25852016738884976640001, 13816599762263321150508368653777081399173544, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 10333156189224799107589469063086080000000, 355687428096001, 56564260326492748044436996151664958003445047, 84867351755340107931342805381865404902595495, 39916801, 10888869450418352160768000001], 'label': '15944266600786427904000.a.15504._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035876
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [25199021697695263723326272502814081, 5041, 7, 21256761530862387010530049548450725590446, 51212942959546373040, 10341831284004956816162169531924480000000, 21256786738714942292918812298182656000000, 16985035678843525042720902427372807, 10341839515685388524888030514034402850622, 13785018544297654413246391473655667889247135, 13785018544297654026032687592025359149932920, 10341839515685372987824689212030976000000, 13774086256169207815463526189837983488707247, 39921847, 25852016740198918308607, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 126, 8841761993739701954543616000001, 25207863524243900604803433336952744, 13785018536083690623845944170792208717706470, 13774086264400595038148511421253429083214934, 13774086256177755996730874943870657506647702, 1307674373166, 363007, 13795343000732457924571739195623635960561841, 31598592823709105820432042321548324035327, 13795343008946421343590500819865786691711135, 13795343008955263105584189430876857152098150, 6227383687, 13785018536074826260750016240092462912594248, 15511261255918264329292926, 10341839506854499889387543993706927741654, 357001369406641, 122002095511296120], 'label': '15944266600786427904000.a.697680._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035877
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 13827567870129363017103814031557263360000001, 5046, 7, 10341831284309489723751167350956705674470, 74139243551785303831005583119482880000000, 74147909902073754111673512229145709751697, 42549325831742495284922217058668220841641, 10333173165418731468477683486733510079151, 13795343008946432232434048648762462042461151, 13806302425289734484607142948437216666832968, 21265453071309141113203941615991426441656, 8231680431682872685013188031580840, 21265444857312201128641750571574070257966, 10341839515685372987824689212030976000000, 31598618022719899109080981830107136000000, 52882456830753885525568345888307632896289, 42558000395983460203691314757391023853937, 13774094922510654568816874245093552824794736, 8231680416171662519680106496000000, 126, 121645100408832006, 6227020806, 13837892326564144701808701221804271608394833, 13837892326564133473474014398236293690233038, 63814770689031967498953890953974074870695, 362886, 1307674368006, 13827559161612722523059169602634800635798441, 10341839515685372987875780154202685440001, 355687428096006, 8231680416197514536418991472640006, 13816635556271095968670170972947863842710711, 39916806, 13795351701017395418148751691764908334613454, 13763753099458048094583992124637352372030766, 22584401785537070613915530591], 'label': '15944266600786427904000.a.697680._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035878
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [63814761926845847188267158937078893751697, 8231691320578226211046411712681647, 13827567870129363017103814031557263360000001, 5046, 7, 10341831284309489723751167350956705674470, 42558017372199961349340552978632380841641, 74139243551785303831005583119482880000000, 13806311100384514642315715648906055066832968, 13785009860988887849498121699379482458461151, 8231680431682872685013188031580840, 10341839515685372987824689212030976000000, 10341848260198889177050383955571910079151, 13837892309587950429982575955926867451798441, 31598618022719899109080981830107136000000, 52882456830753885525568345888307632896289, 42558000395983460203691314757391023853937, 13774094922510654568816874245093552824794736, 8231680416171662519680106496000000, 126, 121645100408832006, 6227020806, 13837892326564144701808701221804271608394833, 13837892326564133473474014398236293690233038, 63814770689031967498953890953974074870695, 31598592814856584064568699954553654257966, 362886, 1307674368006, 10341839515685372987875780154202685440001, 355687428096006, 8231680416197514536418991472640006, 31598601046537048036610294908058242441656, 13816635556271095968670170972947863842710711, 39916806, 13795351701017395418148751691764908334613454, 13763753099458048094583992124637352372030766, 22584401785537070613915530591], 'label': '15944266600786427904000.a.697680._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035879
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 13827567870129363017103814031557263360000001, 5046, 7, 10341831284309489723751167350956705674470, 74147909902073754111673512229145709751697, 13806311100384514642315715648906055066832968, 13785018561273847927397007858152948014613454, 42549325831742495284922217058668220841641, 13795343008946432232434048648762462042461151, 8231680431682872685013188031580840, 10341839515685372987824689212030976000000, 10341848260198889177050383955571910079151, 13837892309587950429982575955926867451798441, 31598618022719899109080981830107136000000, 13774086239201877518924118428853695160794736, 74147926878245877711240803268427776000000, 74147926878256766606543360017060154870695, 8231680416171662519680106496000000, 52891140139530935418324162128165296896289, 126, 121645100408832006, 6227020806, 13837892326564144701808701221804271608394833, 13837892326564133473474014398236293690233038, 31598592814856584064568699954553654257966, 362886, 1307674368006, 13763761782766825144476747940877210036030766, 42549317087206410310935498517533359853937, 10341839515685372987875780154202685440001, 355687428096006, 8231680416197514536418991472640006, 31598601046537048036610294908058242441656, 13816635556271095968670170972947863842710711, 39916806, 22584401785537070613915530591], 'label': '15944266600786427904000.a.697680._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035880
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [63814761926845847188267158937078893751697, 8231691320578226211046411712681647, 13827567870129363017103814031557263360000001, 5046, 7, 10341831284309489723751167350956705674470, 42558017372199961349340552978632380841641, 13785009860988887849498121699379482458461151, 13785018561273847927397007858152948014613454, 10333173165418731468477683486733510079151, 13806302425289734484607142948437216666832968, 21265453071309141113203941615991426441656, 8231680431682872685013188031580840, 21265444857312201128641750571574070257966, 10341839515685372987824689212030976000000, 31598618022719899109080981830107136000000, 13774086239201877518924118428853695160794736, 74147926878245877711240803268427776000000, 74147926878256766606543360017060154870695, 8231680416171662519680106496000000, 52891140139530935418324162128165296896289, 126, 121645100408832006, 6227020806, 13837892326564144701808701221804271608394833, 13837892326564133473474014398236293690233038, 362886, 1307674368006, 13763761782766825144476747940877210036030766, 13827559161612722523059169602634800635798441, 42549317087206410310935498517533359853937, 10341839515685372987875780154202685440001, 355687428096006, 8231680416197514536418991472640006, 13816635556271095968670170972947863842710711, 39916806, 22584401785537070613915530591], 'label': '15944266600786427904000.a.697680._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035888
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [8222849558558583279765711004183696, 8691549299243623320494636198882200750, 121645106635852800, 7, 10333156189224814618799634414401638874464, 10341831284015845685663679183278971085513, 5167, 8231691305041166078848565992541209, 8683326471478260895681832091648000000, 10341831292857608245797439915445744363944, 8841777504949745285529600000000, 10333156198077449970830680668957276278542, 10341831292857623216414471909287750651566, 367927, 25903229683158464681647, 10341839506854515400597587338568111172352, 8683326460589471356484486915107665847, 10341839506843626532268615909157660226151, 74165828519670869549359038433318869098887, 10333156189224814645452845339743401403870, 63841915377016560529093756681101361577646, 8683317618811912398747876245803371456, 8231680416171662519680106496000000, 121, 10341839515696277368485150895177728000000, 6227020801, 10904380660461683146752000000, 355687468017960, 1307674368001, 15511210043330985984000001, 10333147975238811304117905917385667732134, 8683317618827423557700265060117519769, 10341839506854515374747242361301626448662, 39916801, 13795343000732424466945576674678028158777721, 51212587272118272000], 'label': '15944266600786427904000.a.705432._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '705432.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '705432._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035881
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785018561274141604186386704099668664794736, 31589934696259325228845761681162240005041, 13816644256564897792999830133528748854257966, 13827567870129363017103814031557263360000001, 10341831284309489723751167350956705674470, 42549325840561657445578334340747098461151, 13806302417066895991799863923499203202441656, 52891140139530950929532034301231104000001, 74139243551785303831005583119482880000000, 31589934696259325228845761681162240000121, 13795343017708630111456992250867388852030766, 13816644231365875997245513921858075194233038, 31589934696259325228845761681162279916801, 31589934696259325228845761681162240362881, 31589934696259325228845761682469914368001, 74139235337799316053386158714768832681647, 13785018536074826260724164101354097773751697, 10341839515685372987824689212030976000000, 31589934696259325228845762036849668096001, 31589926482262433070514662649027952640001, 8231680416171662519680106496000000, 31589934696259325228845761681168467020801, 13816644239597556542550406193096808738710711, 13837892326564144701808701221804271608394833, 10341848269029746790131283931454971798441, 63814770689031967498953890953974074870695, 13827567853162032655497986442487968966079151, 31589934696259325228845883326262648832001, 31589934696259325228845761681162240000000, 13763753099458036351382995749295014190613454, 31589934696259325228845761681162240000007, 13795343000723616178089209415709363900841641, 63814778903017970787836621134281136896289, 31589934696281909630631298751776155530591, 8231680416171713610622278205440001, 74139235337788427183935624747569839853937, 31589917728918074779470983926107546832968], 'label': '15944266600786427904000.a.697680._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035882
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [8700293801855403836543932288410832968, 31589934696259325228845761681162240005041, 13816644256564897792999830133528748854257966, 10341831284309489723751167350956705674470, 13816635548057098931841545756311289856000001, 13806302417066895991799863923499203202441656, 52891140139530950929532034301231104000001, 74139243551785303831005583119482880000000, 31589934696259325228845761681162240000121, 31589934696259325228845761681162279916801, 13806311091622339734828456911814092792394833, 31589934696259325228845761681162240362881, 31589934696259325228845761682469914368001, 74139235337799316053386158714768832681647, 13785018536074826260724164101354097773751697, 10341839515685372987824689212030976000000, 13774086239201877518924118428853695160794736, 31589934696259325228845762036849668096001, 31589926482262433070514662649027952640001, 74147909893231976606724406814281562461151, 8231680416171662519680106496000000, 31589934696259325228845761681168467020801, 63814770689031967498953890953974074870695, 13827567853162032655497986442487968966079151, 13763761782766825144476747940877210036030766, 31589934696259325228845883326262648832001, 31589934696259325228845761681162240000000, 31589934696259325228845761681162240000007, 13795343000723616178089209415709363900841641, 63814778903017970787836621134281136896289, 13827559178588905695683837796502853922710711, 31589934696281909630631298751776155530591, 13827559186820585982722270564624333370233038, 8231680416171713610622278205440001, 13795351701017395418148751691764908334613454, 74139235337788427183935624747569839853937, 21256769753690152318953017341140475798441], 'label': '15944266600786427904000.a.697680._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035883
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13827559161621564414160285635396395830257966, 13763761799751860791056900015075757756841641, 31589934696259325228845761681162240005041, 10341831284309489723751167350956705674470, 42549325840561657445578334340747098461151, 13816635548057098931841545756311289856000001, 52891140139530950929532034301231104000001, 74139243551785303831005583119482880000000, 31589934696259325228845761681162240000121, 31589934696259325228845761681162279916801, 13806311091622339734828456911814092792394833, 13774086264400605539778196967006735469751697, 31589934696259325228845761681162240362881, 31589934696259325228845761682469914368001, 74139235337799316053386158714768832681647, 10341839515685372987824689212030976000000, 13774086239201877518924118428853695160794736, 31589934696259325228845762036849668096001, 31589926482262433070514662649027952640001, 13816635565024451102208694268780393670079151, 13837901001119566310961009995972737666441656, 8231680416171662519680106496000000, 31589934696259325228845761681168467020801, 10341848269029746790131283931454971798441, 63814770689031967498953890953974074870695, 13763761782766825144476747940877210036030766, 31589934696259325228845883326262648832001, 31589934696259325228845761681162240000000, 31589934696259325228845761681162240000007, 63814778903017970787836621134281136896289, 13827559178588905695683837796502853922710711, 31589934696281909630631298751776155530591, 13827559186820585982722270564624333370233038, 8231680416171713610622278205440001, 13795351701017395418148751691764908334613454, 74139235337788427183935624747569839853937, 31589917728918074779470983926107546832968], 'label': '15944266600786427904000.a.697680._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035884
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [8700293801855403836543932288410832968, 13785018561274141604186386704099668664794736, 13827559161621564414160285635396395830257966, 13763761799751860791056900015075757756841641, 31589934696259325228845761681162240005041, 13827567870129363017103814031557263360000001, 10341831284309489723751167350956705674470, 52891140139530950929532034301231104000001, 74139243551785303831005583119482880000000, 31589934696259325228845761681162240000121, 13795343017708630111456992250867388852030766, 13816644231365875997245513921858075194233038, 31589934696259325228845761681162279916801, 13774086264400605539778196967006735469751697, 31589934696259325228845761681162240362881, 31589934696259325228845761682469914368001, 74139235337799316053386158714768832681647, 10341839515685372987824689212030976000000, 31589934696259325228845762036849668096001, 31589926482262433070514662649027952640001, 74147909893231976606724406814281562461151, 13816635565024451102208694268780393670079151, 13837901001119566310961009995972737666441656, 8231680416171662519680106496000000, 31589934696259325228845761681168467020801, 13816644239597556542550406193096808738710711, 13837892326564144701808701221804271608394833, 63814770689031967498953890953974074870695, 31589934696259325228845883326262648832001, 31589934696259325228845761681162240000000, 13763753099458036351382995749295014190613454, 31589934696259325228845761681162240000007, 63814778903017970787836621134281136896289, 31589934696281909630631298751776155530591, 8231680416171713610622278205440001, 74139235337788427183935624747569839853937, 21256769753690152318953017341140475798441], 'label': '15944266600786427904000.a.697680._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '697680.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '697680._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035885
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [26593209040104894752521228992075920214, 121645106635852800, 7, 13763753099449194589363352818015627419394438, 5167, 13774086247424411607417308752955533814145982, 8683326471478260895681832091648000000, 8841777504949745285529600000000, 367927, 13763753099449183700519805507351585173006038, 25903229683158464681647, 13763753091226345061827189624911888384000000, 13763761774543963873739588372788134187371184, 13774094922519191780662994726080207232464687, 13763761782812241780108254957343018216167176, 10359783377732549575879840543447217261088, 10341856483060127702648308687035562866769, 8231680416171662519680106496000000, 121, 10341839515696277368485150895177728000000, 10333173202027901632498446956265530365456, 6227020801, 10904380660461683146752000000, 13859149071128286955886872413103189299944897, 355687468017960, 1307674368001, 13774094947718246920475306044733166499680022, 15511210043330985984000001, 13827603655941501899987606569464429769594800, 39916801, 13774086290139573591374293456992982603970047, 13763761833722497547887521181156631932626785, 8683335945601265682023425332888499903, 51212587272118272000, 10333156198077449970830680668957276279113], 'label': '15944266600786427904000.a.705432._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '705432.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '705432._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035886
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 121645100408832120, 6227020920, 8841777530853114336880812528414, 16985058311019730465204290544792750, 70317071911266568913322242475654965964502321, 363000, 1307674368120, 355687428096120, 42056511372107307899422722955407057850742808, 237823845495173624120534206018248, 70317071911257716246381562351845376000000121, 8222849558584436955135159805190400, 42056511372107307899422671742464098304000120, 39916920, 42056511380338999188952625850108339519830526, 8231680416197565627716850650915761, 42056511380330146553626446582958420567941528, 70317071919480803375954028660900709361143687, 8222838654177922817725562880000120, 8451210945504826376877609999619320, 70317071911266558024451991889388782029045047, 10904380712442915048405331201, 8222849558558848466084602255166767, 5160, 70317071919480565804940196844198359341409840, 70317071919480554900559485291571786720310440, 126, 42056511372107318772780914032903938731995745, 8222838669797088143511785260862766, 70317071911257716246381562477260729790725160, 42056511380338988315594334388309955226350944, 8231680431708778097949121219901088, 70317071911257716246381562351845376000000000, 42056511372107318772780912117485273088000120, 8231691305498688660780649449123143, 70317071919480565790022515398729796022405142, 42056511380338988315594385475087164346368430, 25226156744828593226036035007580846, 51090942171709440120, 70317071911266568912781814532240010750872447, 70317071919480565804966048860937244096681527, 220699254631245401437820646125909047], 'label': '15944266600786427904000.a.15504._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15504.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15504._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035887
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [13837918919746015931376548663345207253098887, 8691549299243623320494636198882200750, 121645106635852800, 7, 13774086247415569845423569172664318054874464, 13763761774552805620276126022736831523665847, 5167, 13763753099458036366868355703760454376541209, 8683326471478260895681832091648000000, 10341831292857608245797439915445744363944, 8841777504949745285529600000000, 13774094922519202654021184010159204166651566, 10333156198077449970830680668957276278542, 13763753099449194589363352818015627420183696, 367927, 25903229683158464681647, 10341839506843626532268615909157660226151, 13774094922510360907512853304095167355085513, 13763761774543963873739588372788134187371456, 63841915377016560529093756681101361577646, 8231680416171662519680106496000000, 121, 10341839515696277368485150895177728000000, 6227020801, 10904380660461683146752000000, 355687468017960, 1307674368001, 10333147975238811304117905917385667732134, 8683317618827423557700265060117519769, 13774086247415569845450222383589659817403870, 13774094930733199546179516780611218042448662, 13763753091226345046315979581580902400000001, 39916801, 13795343000732424466945576674678028158777721, 51212587272118272000, 13774094930733199546205367125588484527172352], 'label': '15944266600786427904000.a.705432._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '705432.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '705432._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035889
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [8222849558558583279765711004183696, 8691549299243623320494636198882200750, 121645106635852800, 7, 10333156189224814618799634414401638874464, 10341831284015845685663679183278971085513, 5167, 8231691305041166078848565992541209, 8683326471478260895681832091648000000, 10341831292857608245797439915445744363944, 8841777504949745285529600000000, 10333156198077449970830680668957276278542, 10341831292857623216414471909287750651566, 367927, 25903229683158464681647, 10341839506854515400597587338568111172352, 8683326460589471356484486915107665847, 10341839506843626532268615909157660226151, 74165828519670869549359038433318869098887, 10333156189224814645452845339743401403870, 31589909506079405118387049766139774777721, 63841915377016560529093756681101361577646, 8683317618811912398747876245803371456, 8231680416171662519680106496000000, 121, 10341839515696277368485150895177728000000, 6227020801, 10904380660461683146752000000, 355687468017960, 1307674368001, 15511210043330985984000001, 10333147975238811304117905917385667732134, 8683317618827423557700265060117519769, 10341839506854515374747242361301626448662, 39916801, 51212587272118272000], 'label': '15944266600786427904000.a.705432._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '705432.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '705432._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035890
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [13837918919746015931376548663345207253098887, 8691549299243623320494636198882200750, 121645106635852800, 7, 13774086247415569845423569172664318054874464, 13763761774552805620276126022736831523665847, 5167, 13763753099458036366868355703760454376541209, 8683326471478260895681832091648000000, 10341831292857608245797439915445744363944, 8841777504949745285529600000000, 13774094922519202654021184010159204166651566, 10333156198077449970830680668957276278542, 13763753099449194589363352818015627420183696, 367927, 25903229683158464681647, 10341839506843626532268615909157660226151, 13774094922510360907512853304095167355085513, 31589909506079405118387049766139774777721, 13763761774543963873739588372788134187371456, 63841915377016560529093756681101361577646, 8231680416171662519680106496000000, 121, 10341839515696277368485150895177728000000, 6227020801, 10904380660461683146752000000, 355687468017960, 1307674368001, 10333147975238811304117905917385667732134, 8683317618827423557700265060117519769, 13774086247415569845450222383589659817403870, 13774094930733199546179516780611218042448662, 13763753091226345046315979581580902400000001, 39916801, 51212587272118272000, 13774094930733199546205367125588484527172352], 'label': '15944266600786427904000.a.705432._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '705432.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '705432._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035891
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [10341839506854499863537199030315642811542, 74165828519670885060569081764304853098886, 8691549299243623320494636198882200750, 13774094922519202670072987064827334128363944, 121645106635852800, 7, 5167, 8683326471478260895681832091648000000, 8841777504949745285529600000000, 10333156198077449970830680668957276278542, 367927, 25903229683158464681647, 13763753091226345061827189624911888384000000, 13774086247415569860961432426920645841320670, 13774094922510360892001643260764181371085393, 63841915377016560529093756681101361577646, 10333156189224799107589591084723329242464, 13774094930733188657337038154159074076226151, 8231680416171662519680106496000000, 121, 10341831292857607705204428578301766651567, 10341839515696277368485150895177728000000, 6227020801, 10904380660461683146752000000, 13763761774543963858228378329457148203371576, 13774094930733199561716577168919470511172472, 355687468017960, 1307674368001, 13763753099449194604874562861346613404183702, 8683317618827423557700265060117519769, 13774086239201583842108887444167302083732134, 13763761774552805635787336066067817507665846, 39916801, 31589909506079420629597093097125758777720, 13763753099458036351357145660429468392541208, 51212587272118272000], 'label': '15944266600786427904000.a.705432._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '705432.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '705432._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035892
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [10341839506854499863537199030315642811542, 74165828519670885060569081764304853098886, 8691549299243623320494636198882200750, 13774094922519202670072987064827334128363944, 121645106635852800, 7, 5167, 8683326471478260895681832091648000000, 8841777504949745285529600000000, 10333156198077449970830680668957276278542, 367927, 25903229683158464681647, 13763753091226345061827189624911888384000000, 13774086247415569860961432426920645841320670, 13774094922510360892001643260764181371085393, 31589909506079405118387049766139774777721, 63841915377016560529093756681101361577646, 10333156189224799107589591084723329242464, 13774094930733188657337038154159074076226151, 8231680416171662519680106496000000, 121, 10341831292857607705204428578301766651567, 10341839515696277368485150895177728000000, 6227020801, 10904380660461683146752000000, 13763761774543963858228378329457148203371576, 13774094930733199561716577168919470511172472, 355687468017960, 1307674368001, 13763753099449194604874562861346613404183702, 8683317618827423557700265060117519769, 13774086239201583842108887444167302083732134, 13763761774552805635787336066067817507665846, 39916801, 13763753099458036351357145660429468392541208, 51212587272118272000], 'label': '15944266600786427904000.a.705432._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '705432.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '705432._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035893
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [5041, 13774094930733199546179566078489797900087368, 13774094930742030419329656287887559557104712, 13774094930742041323764427305050679360695622, 13774094930742041308684782446469651940300942, 7, 56089830524040727419647191391, 13774094930742041308173254689500781572464351, 8841777530803164148359827664294, 10904380660583328253824126857, 8841777530801883669541897015816, 13774094930733199561690725030877223942890297, 8852683206469457588874955344430, 10904569278482928069720150184, 51090942171709440001, 13774094930733188657310064568838389760000000, 13774094930733199546233840027041043529205449, 18326773893828478637516565484920, 13774094930733188672822396693300910084522263, 121, 8852666374451376581963815774072, 121645100408832001, 8852650889042141920619133954784, 25852016738884976640001, 6227020801, 8852666400252180733576677729862, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 13774094930742030419329707500484521924918710, 39916801, 10888869450418352160768000001], 'label': '15944266600786427904000.a.744192._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '744192.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '744192._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035894
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8841762019591719049169797104712, 5041, 10341839506843610994084987257487360000001, 10341839515685373013727918903619524918704, 7, 8852650863190120662391812464351, 10341839515696294200554444846362315344424, 56089830524040727419647191391, 8841777530803164148359827664294, 10341839506854515374745449296321542890177, 8841777530801883669541897015816, 10341839525170384887913465895003925484921, 10341839515696277394337167991064037366982, 10904569278482928069720150184, 51090942171709440001, 15512332124462520324522263, 121, 8852666374451376581963815774072, 6227020801, 121645100408832001, 8852650889042141920619133954784, 25852016738884976640001, 10888869501509651408140087368, 8852651374717877631262180300942, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 10341839506854499917860445460141129205448, 10341839506854515374745570585741224043657, 8852666454362736212289600695622, 39916801, 10888869450418352160768000001], 'label': '15944266600786427904000.a.744192._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '744192.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '744192._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035895
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8841762019591719049169797104712, 5041, 13763753091226355950696640164909156264043657, 7, 13763753091244671820209808060218418965484921, 8852650863190120662391812464351, 56089830524040727419647191391, 8841777530803164148359827664294, 13763753091235197712716231762314479077366982, 8841777530801883669541897015816, 10904569278482928069720150184, 51090942171709440001, 15512332124462520324522263, 13763753091235186808335622513227034564918704, 121, 8852666374451376581963815774072, 6227020801, 121645100408832001, 8852650889042141920619133954784, 25852016738884976640001, 10888869501509651408140087368, 13763753091226355950696640043619736582890177, 8852651374717877631262180300942, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 13763753091235197729522449039169777355344424, 355687428096001, 13763753091226345046315979581580902400000001, 13763753091226355935239755039783556169205448, 8852666454362736212289600695622, 39916801, 10888869450418352160768000001], 'label': '15944266600786427904000.a.744192._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '744192.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '744192._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035896
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13774086239201572968750597893271078266361022, 8841761993739701954543616000001, 121, 39916801, 10904406512600086666429552870, 13774086239201572953239867014117918041980023, 13774086239192742080140999885118862138885545, 13774086239192731191245646232918425600000000, 13774086239192742080140948670627690259033743, 10888895355697195241278423390, 13774086239192731191271549462245890409565151, 5041, 51090942171709440001, 25852016738884976640001, 13774086239192776392232571750387462819973424, 267356726380700829768, 362881, 121645100408832001, 10921212729877279431748176430, 13774086239192742080115147863857864756008671, 15511210043330985984000001, 13774086239201583857970254450879863548406336, 7, 13774086239219899727133265504098283924663687, 13774086239192742080115526639969656004492080, 1307674368001, 13774086239201572968750596100204743473202062, 10888869450418352160768000001, 10888869450418707854423156537, 8852651051542191471472175600063, 6227020801, 8841762398058186697410655699201, 355687428096001], 'label': '15944266600786427904000.a.744192._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '744192.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '744192._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035897
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763753091253502693308296296380295812188720, 25852016738891243945647, 122000787836928000, 10341839506854532206763773950428599816671, 121, 10888895302435091045744640000, 7, 10341839515696277394388380578336192681647, 13763753091226345046315979581580902400000001, 355693695401647, 40284847, 8683317618827397705561525387264000000, 21265453098444042387099574732019218233601, 15537062060069870960640000, 13785036437203407263675217530174576723025847, 5167, 6227388847, 1313941673647, 51212587272118272000, 8841761993790914898817104041647, 363007, 8222838654177974030668522426368000], 'label': '15944266600786427904000.a.15504._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15504.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15504._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035899
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [8841761993739701954543616000001, 121, 8841777531765193840667588104897, 39916801, 13795351692291175233632745807650444778321846, 25903107681056686080000, 13795351692273175545945961446914174353893431, 8852698717679500919860939344424, 5041, 8932147136434927261245150317231, 13795351692272881917445314142655872005257016, 51212587272118272000, 13795351692273186434841320350938495276278831, 18326773867976461898631588844921, 9033373267055382185328621116017, 362881, 8841777504949867287625547938129, 121645100408832001, 13795351692264051059857656678096933254205768, 13795351692264040155476945762693253216597713, 15511210043330985984000001, 13795351692264051044346982251703812095625904, 10888895302435091045744640000, 7, 8841777530802145799910155159753, 13795351692272892806340186458722586008759823, 1307674368001, 45722136466758316090856965654625, 13795351692272892806340186336721872417535128, 6227020801, 8852666400411209697246620071663, 355687428096001], 'label': '15944266600786427904000.a.744192._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '744192.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '744192._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035900
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 46512, 'diagramx': None, 'generators': [10888869450418352241368095129, 5041, 7, 15537113151024522880581256, 10889327026019453973878689511, 1307674730880, 28271510728929404018728009430288302080000000, 122002095552019918, 28271510728938245780722871078565995080963343, 27168551372977176126852736092841, 10904380713468048081444837713, 8841778070480628484276290775390, 51090942171709440001, 8841777990625364580475228656712, 121, 28271510728938256669591201088276413175380151, 10888869501637323687007389382, 6227020801, 121645100408832001, 25852016738884976640001, 15511261255918264678475824, 15511210427100915216362470, 28271510728938290981708623558769717433922150, 28271510728929404018753861568673601367229150, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 28271510728938245780747652361569056527363494, 355687428096001, 28271510728929414923163585737223926632913710, 28271510728938245780747653265415406756541111, 28271510728938245780747601149337418141044185, 39916801, 28271510728929404034239219473640137523915815, 28271510728929414923134573121314364060786062, 28271510728929414955426097212516035913973471, 28271510728929414923242640331560678645057153, 28271510728938256685128263781825587347952424, 10888869450418352160768000001], 'label': '15944266600786427904000.a.744192._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '744192.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '744192._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035901
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [18326773867976461898631588844921, 5041, 8841777530802145799910155159753, 7, 31598601037706013515825079777145877565768, 8841777504949867287625547938129, 8852666400411209697246620071663, 31598601064830187342618242808427354961846, 31598601046830499655833882072156930533431, 8852698717679500919860939344424, 10888895302435091045744640000, 31598601046841388499488752618707899638831, 121, 121645100408832001, 6227020801, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 31598601046547759998354738402085040895128, 9033373267055382185328621116017, 31598601037695109135114164373465839957713, 8932147136434927261245150317231, 31598601037705998005150653384024718985904, 45722136466758316090856965654625, 39916801, 8841777531765193840667588104897, 25903107681056686080000, 31598601046536871155186577813854581897016, 51212587272118272000, 31598601046547759998354860402798632119823], 'label': '15944266600786427904000.a.744192._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '744192.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '744192._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035902
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 186048, 'diagramx': None, 'generators': [193849929009626434219192751, 5041, 7, 10888869501509294338744383222, 355687428096120, 10904380660583329561190403550, 113107272599971285084777609608041594880000000, 33505480493506432954699838760, 10904406563691027382934114040, 10904406564716516077447725654, 11291566422586149181615363625, 10888895302435091045787362208, 121, 15511210167990295752146040, 10904406563691366305216681647, 121645100408832001, 6227020801, 10889327076975950589318159768, 10888895302556736232941828774, 158267322589796607454422595902, 25852016738884976640006, 362881, 1307674368001, 15511210043330985984000001, 16022788891596407508928576, 22584375882551034657598360745, 28303091428847348998062262041903871301744046, 39916806, 10904406512600422825832873647, 15537113273014138221690649], 'label': '15944266600786427904000.a.744192._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '744192.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '744192._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035903
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13763761782775655178780701310821715392681647, 13763753091235186823846939860731926964458590, 121, 26584446210751481577511772052723818887, 17909881947170029372351536330709996801, 7, 10341839515696277394388380578336192681647, 8852650863190120306704384000000, 8222838669715036090739707328681647, 8691540468370470982027286269376681647, 355693695401647, 40284847, 15511261256275259472041647, 5167, 8683317618859714974486942856974398761, 25903229683158464681647, 6227388847, 1313941673647, 122002101778601647, 10904380660461683146752000000, 363007, 17892915204807347964367432317454142766, 51091299173079209647], 'label': '15944266600786427904000.a.813960._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035904
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [355687468375681, 5041, 121, 1313941668480, 42045596993348291954802248767240667136000000, 122002095551217841, 7, 51090943485650750767, 8852650863190120306704384000000, 6227388721, 42184046472132118025127591936000000, 53720893074246288974969232162816000000, 10888869450418352160768005040, 39916801, 42035290430349791407908153404980903069502641, 35802788310215357801214228060625816744, 25852017095886306492846, 367920, 13774104166069154689906046061127532544000000, 35819755041689143748367403843584000000, 15511210043332293658735920, 8231680416171662519680106496000000, 10395510001885381836209233943199744000000, 8691549310116927608456226668544000000], 'label': '15944266600786427904000.a.813960._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035905
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [8691540468402788358135242276585813464, 42045579100451391352537499831506892267945536, 13774112823638941910489758870943984539325214, 5041, 42045614894989716946666219019143135531376344, 7, 1313941668480, 13774130708322466286128947447146579192817960, 16985035678843417873031754818659782, 35794016661991448621903203792311448631, 42045579100442549590543760135936596545669430, 25852017095886306492846, 13774112832401737838486185766717045149464366, 15511210043332293658735920, 28271546548702739024679102378553709057234230, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 121, 42045587758551695213852458959751130164209966, 42045596993348291954802248767240667136000000, 8852650863190120306704384000000, 367920, 28271528664010361982046030964981755159929743, 28271555223248720145981851488926425334475441, 42045605668415947954221041566214012476342734, 355687468375681, 53720893074246288974969232162816000000, 51090943485650750767, 13774122050185576178357226706933212873910447, 6227388721, 42045587766765681200415084692499178442170193, 39916801, 42184046472132118025127591936000000, 13774094947718224351690595593257416074095064, 122002095551217841, 28271501553311319544648414035755817071093350, 13774104166069154689906046061127532544000000, 10888869450418352160768005040, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035906
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [8691540468402788358135242276585813464, 5041, 13763797568587771768873720773003142857910447, 42045614894989716946666219019143135531376344, 7, 13763761808514634103734987084531264411325214, 1313941668480, 28281879662707906478943650683773692980209966, 42035299631157446767625197694970779759093350, 42035272528681231337213016551698928129234230, 35794016661991448621903203792311448631, 42035263828396881019924517769262915830475441, 25852017095886306492846, 28281888379977902203396735113638508011945536, 15511210043332293658735920, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 42045596993348291954802248767240667136000000, 121, 13763779684435351693556570206342542730095064, 28281834692542654244723925546766319164342734, 8852650863190120306704384000000, 367920, 355687468375681, 53720893074246288974969232162816000000, 13763761799751838206760877850956872093464366, 51090943485650750767, 6227388721, 39916801, 42184046472132118025127591936000000, 13763788919222507801444903302742246648817960, 28281888379986743965390474821977299521669430, 122002095551217841, 13774104166069154689906046061127532544000000, 28281879670939597767232656657135150026170193, 42035290396379132018979578159936171287929743, 10888869450418352160768005040, 10351066080612618924571424243053634659782, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035907
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [8691540468402788358135242276585813464, 13774112823638941910489758870943984539325214, 5041, 7, 28281870478309342148888276770776203563376344, 1313941668480, 13774130708322466286128947447146579192817960, 28281879662707906478943650683773692980209966, 16985035678843417873031754818659782, 42035254610594749686447135990868869120000000, 42035299631157446767625197694970779759093350, 42035272528681231337213016551698928129234230, 35794016661991448621903203792311448631, 42035263828396881019924517769262915830475441, 25852017095886306492846, 13774112832401737838486185766717045149464366, 28281888379977902203396735113638508011945536, 15511210043332293658735920, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 121, 28281834692542654244723925546766319164342734, 8852650863190120306704384000000, 367920, 355687468375681, 53720893074246288974969232162816000000, 51090943485650750767, 13774122050185576178357226706933212873910447, 6227388721, 39916801, 42184046472132118025127591936000000, 13774094947718224351690595593257416074095064, 122002095551217841, 28281888379986743965390474821977299521669430, 13774104166069154689906046061127532544000000, 28281879670939597767232656657135150026170193, 42035290396379132018979578159936171287929743, 10888869450418352160768005040, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035908
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 969, 'diagramx': None, 'generators': [10888869450418352160768000006, 67913822366143195479177235086016985, 13774094922519202669506542036396971794355217, 8231691320578226211046411712681647, 64015324975843332886334079618904, 25852017102981796777254, 5046, 7, 13774094947727675874862297710285363975941166, 8222838654203774837484217035874255, 8852666374400803107858448934704, 8478955800375702259867824803973544, 10904380660462038840843747550, 51090942171709440006, 13774094930733188672847177719850519257219153, 8223041960928820007936048876227200, 13774094922510360892028086850830109715825841, 8222849543587000634208296833714129, 126, 6227020806, 25852016738884976640006, 13774094922510350003132141751112826880000001, 16985058311019730465205598259440310, 362886, 1307674368006, 15511210043330985984000006, 8222849558584486509091868096681641, 355687428096006, 13774094922510350003158044858793889793464383, 9135406031878282174641696741534, 13774094930733199561716577047260428016867760, 8222849558558583401055150894124801, 13774094922510350018669255024126971291662712, 39916806, 8852650863241211605871236218655, 8222838654177922817725562880000006], 'label': '15944266600786427904000.a.23256._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035909
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [8691540468402788358135242276585813464, 42045579100451391352537499831506892267945536, 5041, 13763797568587771768873720773003142857910447, 7, 13763761808514634103734987084531264411325214, 28281870478309342148888276770776203563376344, 1313941668480, 42035254610594749686447135990868869120000000, 35794016661991448621903203792311448631, 42045579100442549590543760135936596545669430, 25852017095886306492846, 15511210043332293658735920, 28271546548702739024679102378553709057234230, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 121, 42045587758551695213852458959751130164209966, 13763779684435351693556570206342542730095064, 8852650863190120306704384000000, 367920, 28271528664010361982046030964981755159929743, 28271555223248720145981851488926425334475441, 42045605668415947954221041566214012476342734, 355687468375681, 53720893074246288974969232162816000000, 13763761799751838206760877850956872093464366, 51090943485650750767, 6227388721, 42045587766765681200415084692499178442170193, 39916801, 42184046472132118025127591936000000, 122002095551217841, 28271501553311319544648414035755817071093350, 13763788919222507801444903302742246648817960, 13774104166069154689906046061127532544000000, 10888869450418352160768005040, 10351066080612618924571424243053634659782, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035910
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [62362035499236932445812287521067376344, 42045579100451391352537499831506892267945536, 8691540468402788358135242276585813464, 5041, 7, 42035290430322645424050991406337225794659782, 1313941668480, 35794016661991448621903203792311448631, 42045579100442549590543760135936596545669430, 25852017095886306492846, 28271528664001520235563501184711735709464366, 28271555232011505492205093189125760713910447, 15511210043332293658735920, 28271546548702739024679102378553709057234230, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 121, 42045587758551695213852458959751130164209966, 8852650863190120306704384000000, 28271528647043630492748817432518749083325214, 367920, 28281861811967906380493218927012279690095064, 10395510001885381836209233943199744000000, 28271555223248720145981851488926425334475441, 42045605668415947954221041566214012476342734, 355687468375681, 53720893074246288974969232162816000000, 51090943485650750767, 6227388721, 42045587766765681200415084692499178442170193, 39916801, 42184046472132118025127591936000000, 122002095551217841, 28271501553311319544648414035755817071093350, 13774104166069154689906046061127532544000000, 42035290396379132018979578159936171287929743, 28271546531699420917897790465767867640817960, 10888869450418352160768005040, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035911
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [5041, 13763797568587771768873720773003142857910447, 7, 13763761808514634103734987084531264411325214, 10386834907094383112675496092352233813464, 28281870478309342148888276770776203563376344, 1313941668480, 28281879662707906478943650683773692980209966, 10386826684266569949713715748798464005040, 16985035678843417873031754818659782, 42045579100442549590543760135936596545669430, 25852017095886306492846, 28281888379977902203396735113638508011945536, 15511210043332293658735920, 28271546548702739024679102378553709057234230, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 121, 42045596993348291954802248767240667136000000, 8852650863190120306704384000000, 367920, 28271528664010361982046030964981755159929743, 28271555223248720145981851488926425334475441, 42045605668415947954221041566214012476342734, 355687468375681, 53720893074246288974969232162816000000, 13763761799751838206760877850956872093464366, 51090943485650750767, 6227388721, 42045587766765681200415084692499178442170193, 39916801, 42184046472132118025127591936000000, 13774094947718224351690595593257416074095064, 122002095551217841, 28271501553311319544648414035755817071093350, 13763788919222507801444903302742246648817960, 13774104166069154689906046061127532544000000, 10377651030205238916767178809800119448631, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035912
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [42045579100451391352537499831506892267945536, 13774112823638941910489758870943984539325214, 5041, 7, 10386834907094383112675496092352233813464, 28281870478309342148888276770776203563376344, 1313941668480, 13774130708322466286128947447146579192817960, 10386826684266569949713715748798464005040, 42035299631157446767625197694970779759093350, 42035272528681231337213016551698928129234230, 42035263828396881019924517769262915830475441, 25852017095886306492846, 13774112832401737838486185766717045149464366, 15511210043332293658735920, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 121, 42045587758551695213852458959751130164209966, 42045596993348291954802248767240667136000000, 13763779684435351693556570206342542730095064, 28281834692542654244723925546766319164342734, 8852650863190120306704384000000, 367920, 355687468375681, 53720893074246288974969232162816000000, 51090943485650750767, 13774122050185576178357226706933212873910447, 6227388721, 39916801, 42184046472132118025127591936000000, 122002095551217841, 28281888379986743965390474821977299521669430, 13774104166069154689906046061127532544000000, 28281879670939597767232656657135150026170193, 42035290396379132018979578159936171287929743, 10377651030205238916767178809800119448631, 13774094964685554713864099884738192042840734, 10351066080612618924571424243053634659782, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035913
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [10351066089454380918311126197597250659776, 13774112823638941910489758870943984539325214, 5041, 42045614894989716946666219019143135531376344, 7, 1313941668480, 13774130708322466286128947447146579192817960, 42045596993339450192808509065286123520005040, 8691540457513918907716890115817450584, 42045579100442549590543760129552348651940496, 42045579100442549590543760135936596545669430, 25852017095886306492846, 13774112832401737838486185766717045149464366, 15511210043332293658735920, 28271546548702739024679102378553709057234230, 13763779684444193455550309908297086346090024, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 121, 8852650863190120306704384000000, 367920, 28271555223248720145981851488926425334475441, 10395510001885381836209233943199744000000, 42045605668415947954221041566214012476342734, 355687468375681, 53720893074246288974969232162816000000, 51090943485650750767, 13774122050185576178357226706933212873910447, 35794016672880318072321555953079453671, 6227388721, 42045587766765681200415084692499178442170193, 39916801, 42184046472132118025127591936000000, 122002095551217841, 28271501553311319544648414035755817071093350, 13774104166069154689906046061127532544000000, 42035290396379132018979578159936171287929743, 42045587758551684324983008541398969396204926, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035914
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [42045579100451391352537499837891140161674470, 42045579100451391352537499831506892267945536, 5041, 42045614894989716946666219019143135531376344, 42045587766765692089284535110495651782074193, 7, 28271546539931101334095355970732024014558641, 1313941668480, 13774122050185587067226677125285373641910327, 42045596993339450192808509065286123520005040, 8691540457513918907716890115817450584, 13774112823638952799359209289296145307330254, 42045605668415937065351591147861851708342728, 28271501561534158198826336853481379951088310, 25852017095886306492846, 28271555232020357836565597896748110337239270, 13774112832410579600479925468671588765827246, 15511210043332293658735920, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 121, 42045587758551695213852458959751130164209966, 13774130708331308048122687149101122808812920, 13763779684435351693556570206342542730095064, 8852650863190120306704384000000, 367920, 10395510001885381836209233943199744000000, 355687468375681, 53720893074246288974969232162816000000, 51090943485650750767, 35794016672880318072321555953079453671, 6227388721, 42035290396379121130110127741584010519929623, 39916801, 42184046472132118025127591936000000, 122002095551217841, 13774104166069154689906046061127532544000000, 10351066080612618924571424243053634659782, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036011
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [368046, 355687428464040, 10333164960873362481950761725881288453161, 8222849543047373236077723648000000, 13763761774543963858202475099775303680000000, 7, 8852650863190120306704384000000, 8222838669715036090739707328681647, 5160, 42184046472132118025127591936000000, 40284847, 126, 42056502722742066032392092682291833299280304, 6266937726, 25903107682364400732727, 42045579092210259429974342181416301855825841, 8222838654177922818082558022748720, 21256795501510854778186876971909120000000, 42056511372107307883911461699133112320000000, 8222838654177922817725562880000001, 10341831284004956816162169531924480000000, 51212944267220741160, 122000787877207680], 'label': '15944266600786427904000.a.1085280._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035915
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [42045579100451391352537499831506892267945536, 5041, 13763797568587771768873720773003142857910447, 42045614894989716946666219019143135531376344, 7, 13763761808514634103734987084531264411325214, 10386834907094383112675496092352233813464, 1313941668480, 42045596993339450192808509065286123520005040, 10386826684266569949713715748798464005040, 16985035678843417873031754818659782, 42035299631157446767625197694970779759093350, 42035272528681231337213016551698928129234230, 42035263828396881019924517769262915830475441, 25852017095886306492846, 15511210043332293658735920, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 42045587758551695213852458959751130164209966, 121, 28281834692542654244723925546766319164342734, 8852650863190120306704384000000, 367920, 355687468375681, 53720893074246288974969232162816000000, 13763761799751838206760877850956872093464366, 51090943485650750767, 6227388721, 39916801, 42184046472132118025127591936000000, 13774094947718224351690595593257416074095064, 13763788919222507801444903302742246648817960, 28281888379986743965390474821977299521669430, 122002095551217841, 13774104166069154689906046061127532544000000, 28281879670939597767232656657135150026170193, 42035290396379132018979578159936171287929743, 10377651030205238916767178809800119448631, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035916
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774112823638941910489758870943984539325214, 5041, 42045614894989716946666219019143135531376344, 7, 10386834907094383112675496092352233813464, 1313941668480, 13774130708322466286128947447146579192817960, 42045596993339450192808509065286123520005040, 28281879662707906478943650683773692980209966, 10386826684266569949713715748798464005040, 42045579100442549590543760135936596545669430, 25852017095886306492846, 13774112832401737838486185766717045149464366, 28281888379977902203396735113638508011945536, 15511210043332293658735920, 28271546548702739024679102378553709057234230, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 121, 13763779684435351693556570206342542730095064, 8852650863190120306704384000000, 367920, 28271528664010361982046030964981755159929743, 28271555223248720145981851488926425334475441, 42045605668415947954221041566214012476342734, 355687468375681, 53720893074246288974969232162816000000, 51090943485650750767, 13774122050185576178357226706933212873910447, 6227388721, 42045587766765681200415084692499178442170193, 39916801, 42184046472132118025127591936000000, 122002095551217841, 28271501553311319544648414035755817071093350, 13774104166069154689906046061127532544000000, 10377651030205238916767178809800119448631, 13774094964685554713864099884738192042840734, 10351066080612618924571424243053634659782, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035917
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [10351066089454380918311126197597250659776, 42045579100451391352537499837891140161674470, 42045579100451391352537499831506892267945536, 13774112823638941910489758870943984539325214, 5041, 42045587766765692089284535110495651782074193, 7, 28271546539931101334095355970732024014558641, 1313941668480, 42045614903212555600844141836868698411371304, 13774130708322466286128947447146579192817960, 8691540457513918907716890115817450584, 42045605668415937065351591147861851708342728, 28271501561534158198826336853481379951088310, 25852017095886306492846, 13774112832401737838486185766717045149464366, 28271555232020357836565597896748110337239270, 15511210043332293658735920, 13763779684444193455550309908297086346090024, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 42045596993348291954802248767240667136000000, 42045587758551695213852458959751130164209966, 121, 8852650863190120306704384000000, 367920, 10395510001885381836209233943199744000000, 355687468375681, 53720893074246288974969232162816000000, 51090943485650750767, 13774122050185576178357226706933212873910447, 35794016672880318072321555953079453671, 6227388721, 42035290396379121130110127741584010519929623, 39916801, 42184046472132118025127591936000000, 122002095551217841, 13774104166069154689906046061127532544000000, 13774094964685554713864099884738192042840734, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035918
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [5041, 7, 1313941668480, 42045614903212555600844141836868698411371304, 13774122050185587067226677125285373641910327, 8691540457513918907716890115817450584, 42045579100442549590543760129552348651940496, 13774112823638952799359209289296145307330254, 42045579100442549590543760135936596545669430, 25852017095886306492846, 13774112832410579600479925468671588765827246, 15511210043332293658735920, 28271546548702739024679102378553709057234230, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 42045596993348291954802248767240667136000000, 121, 13774130708331308048122687149101122808812920, 13763779684435351693556570206342542730095064, 8852650863190120306704384000000, 367920, 28271555223248720145981851488926425334475441, 10395510001885381836209233943199744000000, 42045605668415947954221041566214012476342734, 355687468375681, 53720893074246288974969232162816000000, 51090943485650750767, 35794016672880318072321555953079453671, 6227388721, 42045587766765681200415084692499178442170193, 39916801, 42184046472132118025127591936000000, 122002095551217841, 28271501553311319544648414035755817071093350, 13774104166069154689906046061127532544000000, 42035290396379132018979578159936171287929743, 42045587758551684324983008541398969396204926, 13774094964685554713864099884738192042840734, 10351066080612618924571424243053634659782, 35819755041689143748367403843584000000], 'label': '15944266600786427904000.a.813960._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035919
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [355687428458887, 10341839515696277664418744840444523779183, 10341831292857623191312045485546210627960, 8231691320578226211046411712681647, 10341839534227133522008952457714391269127, 5046, 7, 25226156744854496333361404225285041, 8231680416171713612886056921563735, 1307674368120, 10341831530862951569975028944160589490328, 25852016740192651008000, 10341839506854499889388569486451575222521, 10341831284004956816162169531924480000000, 10341831284015861223745381688592989813335, 8231962349246269476302331932793895, 10888869501509651333807293302, 10341831292846734806838746700985640862720, 10341831292857607679403381147660363055015, 8231872027444283930644796407459321, 8231680431682872688780791969352615, 10341831284015861223154186501900199644206, 51212942959546730887, 10341856483049255613563150797097293701544, 10888869450418353468442368000, 126, 121645100408832006, 6227020806, 25852138741027080523729, 10341839515696277368485272897279466714655, 10341831284015861196873843803677977729840, 362886, 10888895302557093147482979966, 8231691305067016167715425728681641, 10341839506854499889438513292039660907566, 8841761993790914897509429673527, 8231691320578175120104233738371761, 39916806], 'label': '15944266600786427904000.a.23256._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035920
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774094922519202701823810961457393712471807, 31589917738369597925320840587509760000000, 10341839515696261883285641430988195717550, 121, 25852016738891243577720, 10888869450418352160768000001, 126870999123736455090718797653953609728000000, 7, 8852650863190120306704384000000, 5160, 39916801, 362881, 13763753099458036351357092519613169664000000, 70370571426886714225409771700189660659769726, 56628066422078158107744847440207097231109041, 98599514945310347273931505256592703488000000, 56638408253370993922148236832914538496000000, 1307674368006, 13774094930742041323710367840157143081017720, 8231680416171662519680106496000000, 6227020920, 10341831284004956816162169531924480000000, 15537062060071184862033841, 8691549310116927608456226668544000000], 'label': '15944266600786427904000.a.813960._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035921
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [25852016738891243577720, 13774086247415580734318871486107479651543087, 6227020920, 70370571426886714225409771700189660659769726, 7, 141357500008131490345809532496770230916188736, 13763761774543963873713685265108391442631638, 10341831284004956816162169531924480000000, 13774094930742041323710367840157143081017720, 141367841839424337096908552305826969721681967, 10888895303719693216260192424, 13774094930742030434815065410697124707766625, 8691549310116927608456226668544000000, 13774086239192742080140999759308718756995424, 8231680416171662519680106496000000, 5160, 121, 13774094922510350018669255023769976400861457, 15537062060071184862033841, 13763753091235186808309719283535446056280105, 8852650863190120306704384000000, 13763761782766802527891660079533605429874543, 362881, 13774086247424411607443211865910655518686097, 56638408253370993922148236832914538496000000, 1307674368006, 98599514945310347273931505256592703488000000, 13763761774543974762608987578197341678359817, 13774094922510360907862525983666614799934640, 56628066422078158107744847440207097231109041, 13763753099458036351357092519613169664000000, 39916801, 13774094922519202701823810961457393712471807, 10341831284015845711516466115314515006217, 31589917738369597925320840587509760000000, 10341839515696261883285641430988195717550, 10888869450418352160768000001], 'label': '15944266600786427904000.a.813960._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035922
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [25852016738891243577720, 13774086247415580734318871486107479651543087, 6227020920, 70370571426886714225409771700189660659769726, 7, 13763761774543963873713685265108391442631638, 84888635619355994505330899336040396921681967, 10341831284004956816162169531924480000000, 13774094930742041323710367840157143081017720, 10888895303719693216260192424, 13774094930742030434815065410697124707766625, 8691549310116927608456226668544000000, 13774086239192742080140999759308718756995424, 8231680416171662519680106496000000, 5160, 121, 13774094922510350018669255023769976400861457, 15537062060071184862033841, 13763753091235186808309719283535446056280105, 8852650863190120306704384000000, 13763761782766802527891660079533605429874543, 362881, 13774086247424411607443211865910655518686097, 56638408253370993922148236832914538496000000, 1307674368006, 98599514945310347273931505256592703488000000, 13763761774543974762608987578197341678359817, 13774094922510360907862525983666614799934640, 56628066422078158107744847440207097231109041, 13763753099458036351357092519613169664000000, 39916801, 13774094922519202701823810961457393712471807, 10341831284015845711516466115314515006217, 31589917738369597925320840587509760000000, 84878311154698385378004870563372460676188736, 10888869450418352160768000001, 10341839515696261883285641430988195717550], 'label': '15944266600786427904000.a.813960._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035923
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [25852016738891243577720, 13774086247415580734318871486107479651543087, 6227020920, 113117587872025795432901903901488929635766625, 7, 70370571426886714225409771700189660659769726, 141357500008131490345809532496770230916188736, 113117579180476485300488937413396202148995424, 13763761774543963873713685265108391442631638, 113117587863802945922171748615544877104471807, 84888635619355994505330899336040396921681967, 10341831284004956816162169531924480000000, 13774094930742041323710367840157143081017720, 126881340955020449158691413283364602707006217, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 126881340963252129574863182458680276387717550, 5160, 121, 113107254715827717982956925232284825070359817, 113117587863794115016756093514561781328861457, 15537062060071184862033841, 13763753091235186808309719283535446056280105, 8852650863190120306704384000000, 113107254724050567525978498570325410357874543, 13774086247424411607443211865910655518686097, 362881, 56638408253370993922148236832914538496000000, 1307674368006, 98599514945310347273931505256592703488000000, 126870999131959293744896720471679172608000001, 13774094922510360907862525983666614799934640, 56628066422078158107744847440207097231109041, 13763753099458036351357092519613169664000000, 39916801, 126870999123736444201875200536942504452192424, 31589917738369597925320840587509760000000], 'label': '15944266600786427904000.a.813960._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035924
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [25852016738891243577720, 13774086247415580734318871486107479651543087, 6227020920, 113117587872025795432901903901488929635766625, 7, 70370571426886714225409771700189660659769726, 113117579180476485300488937413396202148995424, 13763761774543963873713685265108391442631638, 113117587863802945922171748615544877104471807, 10341831284004956816162169531924480000000, 13774094930742041323710367840157143081017720, 141367841839424337096908552305826969721681967, 126881340955020449158691413283364602707006217, 8691549310116927608456226668544000000, 8231680416171662519680106496000000, 126881340963252129574863182458680276387717550, 5160, 121, 113107254715827717982956925232284825070359817, 113117587863794115016756093514561781328861457, 15537062060071184862033841, 13763753091235186808309719283535446056280105, 8852650863190120306704384000000, 113107254724050567525978498570325410357874543, 13774086247424411607443211865910655518686097, 362881, 56638408253370993922148236832914538496000000, 1307674368006, 98599514945310347273931505256592703488000000, 126870999131959293744896720471679172608000001, 13774094922510360907862525983666614799934640, 56628066422078158107744847440207097231109041, 13763753099458036351357092519613169664000000, 39916801, 126870999123736444201875200536942504452192424, 31589917738369597925320840587509760000000, 84878311154698385378004870563372460676188736], 'label': '15944266600786427904000.a.813960._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035925
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [25852016738891243577720, 13774086247415580734318871486107479651543087, 6227020920, 70370571426886714225409771700189660659769726, 7, 13763761774543963873713685265108391442631638, 10341831284004956842066047763147519985417, 84888635619355994505330899336040396921681967, 10341831284004956816162169531924480000000, 13774094930742041323710367840157143081017720, 13774094922510360907538705442122137168861463, 8691549310116927608456226668544000000, 5160, 8231680416171662519680106496000000, 121, 126870999123736455090718797653953609728000000, 15537062060071184862033841, 13763753091235186808309719283535446056280105, 8852650863190120306704384000000, 13763761774543963873739537159845180910359823, 13774086247424411607443211865910655518686097, 362881, 56638408253370993922148236832914538496000000, 1307674368006, 98599514945310347273931505256592703488000000, 13774094930742041323684515829049285475766631, 84878302471380766566118375045178059396188742, 25853301341055452275624, 10341839515685373013835223078827427717544, 13774086239192731191271549340956564216016224, 13774094922510360907862525983666614799934640, 13763761782766813416761110497885766198237423, 56628066422078158107744847440207097231109041, 13763753099458036351357092519613169664000000, 39916801, 13774094922519191812954360543105232944471806, 31589917738369597925320840587509760000000], 'label': '15944266600786427904000.a.813960._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035926
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [25852016738891243577720, 13774086247415580734318871486107479651543087, 6227020920, 70370571426886714225409771700189660659769726, 7, 13763761774543963873713685265108391442631638, 10341831284004956842066047763147519985417, 10341831284004956816162169531924480000000, 13774094930742041323710367840157143081017720, 13774094922510360907538705442122137168861463, 8691549310116927608456226668544000000, 5160, 8231680416171662519680106496000000, 121, 126870999123736455090718797653953609728000000, 15537062060071184862033841, 13763753091235186808309719283535446056280105, 8852650863190120306704384000000, 13763761774543963873739537159845180910359823, 13774086247424411607443211865910655518686097, 362881, 56638408253370993922148236832914538496000000, 1307674368006, 98599514945310347273931505256592703488000000, 13774094930742041323684515829049285475766631, 25853301341055452275624, 10341839515685373013835223078827427717544, 13774086239192731191271549340956564216016224, 13774094922510360907862525983666614799934640, 13763761782766813416761110497885766198237423, 56628066422078158107744847440207097231109041, 13763753099458036351357092519613169664000000, 39916801, 13774094922519191812954360543105232944471806, 84888644302673613317217394854234798201681966, 31589917738369597925320840587509760000000, 84878311154698385378004870563372460676188736], 'label': '15944266600786427904000.a.813960._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '813960.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '813960._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035927
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '831402.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': 831402, 'diagramx': None, 'generators': [25852016738891243945647, 122000787836928000, 121, 10888895302435091045744640000, 7, 13763761782766813401249899683643367742812727, 10341839515696277394388380578336192681647, 13763753091226345046315979581580902400000001, 355693695401647, 40284847, 8683317618827397705561525387264000000, 21274654436604751294870825617971196657846, 15537062060069870960640000, 21256778525361332332353695961681312748807, 5167, 6227388847, 13795351692264051059831753826867819510967806, 1313941673647, 51212587272118272000, 8683326460573906087614631995617621351, 8841761993790914898817104041647, 363007, 8222838654177974030668522426368000], 'label': '15944266600786427904000.a.831402.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '831402.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '831402.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035928
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '868224.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': 868224, 'diagramx': None, 'generators': [13774094930742041308173254690658428328324607, 7, 13774094930742041308173254811145949169334614, 13774094930742041323684464738871485837772663, 15537062694261862970109377, 28271492836050785843781774163750714745932927, 25903229326163537201422, 15537113272658456981147231, 15511210043332293658368000, 15537113272658456980687151, 356995102464000, 39916920, 13774094930742041308199106827529079529472000, 51090942171709440001, 133863512789973632573110, 47854331107133742487296127, 5160, 6227025840, 126, 25852016738884976640001, 121645100408832001, 42045587766774533868004580730034885595556481, 1307674368001, 15537169486255616913744425, 13774094930742041323710369499483657433416734, 15537063341302003686954822, 42088137101377869643470270822058784726359807, 368041, 25903229326163758563431, 25852138392374144081705, 15537113272658456980664376, 25852016738965837218486], 'label': '15944266600786427904000.a.868224.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '868224.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '868224.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035929
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 461890, 'diagramx': None, 'generators': [15511261134273157693440000, 28271501527581791755651968237604959402008880, 5041, 7, 42531441184804753316357138989011600465840, 355687468017846, 10333147966386144929717742279694909440000, 8231691320578226089044309934080000, 25852016738891243940601, 10888869501509294332477440000, 122000794103865726, 8852666400252180376575344640000, 8231680464000141610074964046940840, 8691540490954820854044098436907761966, 121, 42066835836756086105824083372630490519301167, 6227020801, 13763753099449183700493902399306465280000000, 362881, 10333224167175282378958107956011411200126, 13774086239192742095626306817004010303461425, 10333148011837108189649323117444212847927, 8852650889042138907731160989105, 10333190178222705128843749226575426999801, 8683317618811886546609136572989440000, 122002101778601647, 39916806, 25903107681056686080000, 8683399633824441377653803054610233601, 26601440709664540135116068588164188727], 'label': '15944266600786427904000.a.923780._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '923780.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '923780._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035930
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2907, 'diagramx': None, 'generators': [355687428458887, 8231691320578226211046411712681647, 5046, 7, 25226156744854496333361404225285041, 1307674368120, 25852016740192651008000, 8683317629716293487535164376999644207, 8691540468354959771861954516460907567, 10888869501509651333807293302, 8683326471462749736729810137163055014, 8683317618811886495518194401280000001, 8708516663110683896499459574093701550, 10904407583212156668509813335, 8231691320552323103365354986714655, 8231680431682872688780791969352615, 51212942959546730887, 10888869450418353468442368000, 126, 8852666375149875953621730627960, 121645100408832006, 6227020806, 8250222176705846782925789911269127, 8683317618811912347656935428360523728, 8691540468354959721918148928375222520, 362886, 8683317629700781798075287548762979967, 8691549299228058209131080458201563734, 8691549581161132764994496733212793894, 8231691305067016167715425728681641, 8841761993790914897509429673527, 246857994753812859412236109490328, 10904380711674271753497729840, 8691549310132464670638298635018371760, 8683326460589877172095363462440862721, 8691549490839330779448839197687459320, 8691549310132734752093502921363695983, 39916806], 'label': '15944266600786427904000.a.23256._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035931
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 461890, 'diagramx': None, 'generators': [71596850468049472977838405183685361967, 10341831292846734321112036819556210198423, 5041, 25852138383985385472000, 7, 8683390893256395015874310915530752120, 15511210164976086392832000, 8841761993739823599644024832000, 10333147966386241799472586339353146455680, 8683317629700755997027488733760682302, 10333147966386144929666772982623608832000, 8222838654177922939370663288832000, 8683317629700755997027488733759875881, 8231691305066965076773267518832871, 10341848278514790981793326202813551708840, 10888869450539997261176832000, 8222849543073276343760094275408945, 121, 121645100408832001, 6227020801, 191480734340825766308808170470553346468486, 8231781674671577452438258618368006, 362881, 1307674368001, 355687428096001, 10341831284004972327423303806396077248718, 8683326460589417348492807401876664111, 10341839506854515374796662639603839934087, 39916801, 10333156189224814618799512403768669570617, 31616493934617504701677376398685636028721, 51212587272118272000, 10341831284004972381431295484601672105521, 8683317618811886495639839501688832000], 'label': '15944266600786427904000.a.923780._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '923780.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '923780._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035932
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 461890, 'diagramx': None, 'generators': [10341839506854515374796662639603839934087, 31616493934617504701677376398685636028721, 8683390893256395015874310915530752120, 8841761993739823599644024832000, 121, 10333156189224814618799512403768669570617, 39916801, 10333147966386144929666772982623608832000, 10341831292846734321112036819556210198423, 10333147966386241799472586339353146455680, 8222838654177922939370663288832000, 8683317629700755997027488733760682302, 5041, 51212587272118272000, 25852138383985385472000, 8222849543073276343760094275408945, 362881, 121645100408832001, 8231691305066965076773267518832871, 71596850468049472977838405183685361967, 10341831284004972381431295484601672105521, 8231781674671577452438258618368006, 15511210164976086392832000, 13955233825567170812624787873696556155300486, 7, 10341831284004972327423303806396077248718, 8683317629700755997027488733759875881, 8683326460589417348492807401876664111, 1307674368001, 10888869450539997261176832000, 8683317618811886495639839501688832000, 6227020801, 10341848278514790981793326202813551708840, 355687428096001], 'label': '15944266600786427904000.a.923780._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '923780.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '923780._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035933
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [6227020920, 25852016738891203660800, 13774086239192731191245697323860603536460800, 42045614861019057605540270981492808005438761, 28271510754137278738963212141305145100684806, 42045587766765985702274452553194582652061784, 28271528621826326398783628678973701615979007, 28271501519358986590176579939247909933113601, 44477334280448384572290513885141127536, 28271492836032492527593861169013567125462710, 8691540457466064418335919964160000000, 6266937600, 8231691320578226089401305076828847, 13774122033218245494118071955935430162675206, 13774086239192742095652209924284730816681647, 42045623544345518179394653928450918326288566, 28271528630058006830466235799572262287915566, 28271501519358953101474045417996405696377727, 8231680416171662519680106496000000, 6227025840, 6227020801, 42045596985098318237979786523967214514578785, 42045605676638798320683353210106814002754150, 6227020806, 8231691305041112938032273491020800, 13774104149066107643460532191088438986981550, 13774086247424411607417308752598532096000000, 42045587766765681184903925736339923015845199, 42045579083456904150496476855394307221310662, 8683326460573880235220150258797388800, 26601413551985204697459468533760000000, 13774112832392297188646821038300475122819241, 13774112840606283176450343692742653015116800, 13774130708313014747445984194717030483383680, 13774112840606531619581411776818676563132726], 'label': '15944266600786427904000.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: 12035934
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13774130708313014747471887302753855157731424, 35794025536871737098109427165681904424, 13774104149074667472405568166458282970461151, 8683326460589391445646495359001093753, 44469120294445095691609833917888681646, 13774112832392297188646872255407002796323761, 13774130716535853417135169684398445803113526, 7, 10888869450418352160768000001, 35794025503398491765382974860664832001, 13774112832383444522272471965960563331837648, 35785793833871567375922018695837856294, 121, 13774112840615135842824743856381651057882838, 44469120294445095691487831822599578376, 1307674368001, 39916801, 13774112832392297189212353203084326165186416, 6227020801, 8231680416171662519680106496000000, 13774086247415569860960682323658133364587542, 5041, 8841761993739701954543616000001, 8691540457466064418335919964160000000, 25852016738884976640001, 13774104149065836647433577365032257346904247, 13774086239201583842486659119005337267893161, 13774086247424422883526473333715852127562176, 17909873105423520941122913116796045094, 17909873094519140279123548569600000000, 26593190713346563887792763402393816326, 355687428096001, 8691540468370470982027286269376681647, 13774122024986587694531549416295275889740927, 10904380660461684460655819520, 8222838654177922943894096783841960, 10904380713468046773770463217, 13774112832392286284831691338525274155221806, 362881, 13774122033218234589871327257165659670962633, 13774104149065825725923038635508398666955870, 13774086239192731191245646232918425600000000, 17909873343027175911054079398748888446], 'label': '15944266600786427904000.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: 12035935
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10333156198066576612591842973488363113526, 13774104149065825725923038635508398666955870, 5041, 13774130708313014747471887302753855157731424, 7, 13774112832392297188646872255407002796323761, 10341831292846718809952962785634947837648, 13774122024986587694531549416295275889740927, 8691540457466064418335919964160000000, 13774112832392297189212353203084326165186416, 13763771009331119981627921350978112399841960, 8683326460589391445646495359001093753, 13774112832392286284831691338525274155221806, 44469120294445095691609833917888681646, 17909873094519140279123548569600000000, 10351066071161095778721567580344180587542, 8231680416171662519680106496000000, 121, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 13774122033218234589871327257165659670962633, 13774086247424422883526473333715852127562176, 35785793833871567375922018695837856294, 10341839506854515374745449297635441882838, 17909873105423520941122913116796045094, 1307674368001, 362881, 44469120294445095691487831822599578376, 10333147966386144955569759374267354461151, 355687428096001, 35794025503398491765382974860664832001, 10904380713468046773770463217, 8691540468370470982027286269376681647, 10351057839491553317218959018460851893161, 13763788877020168028636082323230556160000001, 39916801, 13763761774552805635733327952750278809816326, 17909873343027175911054079398748888446, 10904380660461684460655819520, 13774104149065836647433577365032257346904247, 35794025536871737098109427165681904424, 10888869450418352160768000001], 'label': '15944266600786427904000.a.930240._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035936
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13763771001108281327449998533252549519841961, 13774130708313014747471887302753855157731424, 8683326460589391445646495359001093753, 44469120294445095691609833917888681646, 13774112832392297188646872255407002796323761, 10377625309508355873458192771018795221806, 13774112840606283176450394783686126211837649, 7, 10888869450418352160768000001, 35794025503398491765382974860664832001, 121, 10333156189224814618852141018944747113527, 10368941983058718475344219278001986904247, 13774112832392297188646821038656088177887878, 10351057848322441600798749854781260670742, 1307674368001, 13774104157297506126583490984183845850461145, 39916801, 10368941983047796964805489754143306955870, 13774112832392297189212353203084326165186416, 6227020801, 8231680416171662519680106496000000, 10351066062330594357033173728975711562176, 5041, 8691540457466064418335919964160000000, 25852016738884976640001, 26601413552000741810610488965273816327, 17909873105423520941122913116796045094, 17909873094519140279123548569600000000, 13763797560337786840522577841424957440000000, 355687428096001, 8691540468370470982027286269376681647, 10904380660461684460655819520, 13763761774543974747449748280144345757856294, 13763753091235197697205072809568669959578376, 10341831284038477781962611259121009740927, 10904380713468046773770463217, 10351066062330207495141776744023731893160, 362881, 13774122033218234589871327257165659670962633, 13763761782775677747619470467552815601904424, 13774086239192731191245646232918425600000000, 17909873343027175911054079398748888446], 'label': '15944266600786427904000.a.930240._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035937
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10341856491868610139126273546858452645041, 5041, 8683326460573880235220148944896000000, 7, 35794025503768979372196193121821878473, 10333164951410934903685318603081654300495, 363000, 10359724180916463513275600428010595103024, 13774086247424422673168666144851628137034471, 17918104774935311941643228676096000121, 26593199565997427078035063819712681647, 13763779667440886253769039071042497830045135, 13763761791520146901719764912925912463506910, 13763779675672566669940754218972249021329840, 17909873105408035632771583888832681527, 13774122024986587694531549416295275889740927, 13763788894005203707505405731197710877202151, 10359724180949936704600321638643053655807, 13763753116425366743985341342151794270256425, 26593199565981915816779145561610046646, 10351049086147194674205434744920825282871, 10341856491868723655282219269569429845777, 8231680416171662519680106496000000, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 35785793822982320102741649653760000000, 13774112832392590769399222641727454479933111, 1307674368001, 10368958959230809407971176023754678277176, 355687428096001, 44477334280448384573315295489158202817, 39916801, 13763788902219460738221431593550687282049223, 8691540457466064418457565064568832120, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035938
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13763779675663724892435805119969461412370151, 5041, 8683326460573880235220148944896000000, 7, 35794025503768979372196193121821878473, 363000, 13774086247424422673168666144851628137034471, 17918104774935311941643228676096000121, 26593199565997427078035063819712681647, 10377642276849621294466694218155958300494, 17909873105408035632771583888832681527, 13774122024986587694531549416295275889740927, 10359724189758209970004454898567094277182, 26593199565981915816779145561610046646, 10368958968106060130046446672917869655806, 8231680416171662519680106496000000, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 13763779667449717126867477362676260446256431, 35785793822982320102741649653760000000, 13774112832392590769399222641727454479933111, 1307674368001, 355687428096001, 10333173174249604618618983812637878123824, 13763761791529259675603641254324415538054263, 13763788893996361961022875304646310845329841, 13763770992354936969184755532512701839501870, 44477334280448384573315295489158202817, 39916801, 10377634062863633516796960716872441287911, 13763788902228042377194485196078080320413135, 10368950736392477917226923044715453762577, 10351040863297845260791853773434836645040, 8691540457466064418457565064568832120, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035939
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [8231691481923019911933202537034471, 44477334280463895731120900603904000001, 5041, 8708516651398451158689086074150045135, 8683326460573880235220148944896000000, 17909881936281134071063228984454207857, 7, 35794025503768979372196193121821878473, 8841761993739701954543616000120, 8683326471478286798911515250112681647, 44469120294460606850562222732163241646, 17892905753268690853132850635958123824, 44494310463491875960020414946910256425, 35785793856503285903183376850289740927, 8708516673982773032869925598573655807, 26576223372274211360422584856532645041, 44486087624822186877225155069878277182, 8231680416171662519680106496000000, 25852016738884976640001, 6227020801, 17918104774935311941643228676096000000, 26584437368972761531767171657103506910, 26593199859578153576408809028879933111, 1307674368001, 362881, 17909873094519140279123548569600000121, 355687428096001, 8700293812728762079102561911972370151, 35794025503398491765382974860664832001, 25199021682158201783036577718300494, 39916801, 35811001697330878557608910510841282871, 17892905753575841020850113166269762577, 8700302654506267028201564699581329840, 35794025536871737098109427165681904424, 16976454055407426452594568242049223], 'label': '15944266600786427904000.a.930240._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035940
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [8231691481923019911933202537034471, 44477334280463895731120900603904000001, 13774086264391752873403848015955003318300494, 5041, 8683326460573880235220148944896000000, 17909881936281134071063228984454207857, 7, 35794025503768979372196193121821878473, 13774094947709382589696804922004499750045135, 8841761993739701954543616000120, 8683326471478286798911515250112681647, 44469120294460606850562222732163241646, 13774104132098484459936499365769061558123824, 35785793856503285903183376850289740927, 13774094947709405174018679102844024173655807, 13774112815416103465457006655503282132645041, 13774086256169185246653072685512993842049223, 13774130725280356013432523458073495478277182, 8231680416171662519680106496000000, 25852016738884976640001, 6227020801, 17918104774935311941643228676096000000, 26593199859578153576408809028879933111, 13774112823630100164007178000090082703506910, 1307674368001, 362881, 13774122050194428522124203841828936441282871, 13774130733503194683121606253333372510256425, 17909873094519140279123548569600000121, 13774094939486543920007725335480337572370151, 355687428096001, 35794025503398491765382974860664832001, 39916801, 13774094939495385697512674434483125181329840, 13774104132098484767086667083031591869762577, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035941
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 171, 'diagramx': None, 'generators': [10341839515696277394388380578336192681647, 8841761993790914898817104041647, 121, 10888895302435091045744640000, 13763761782793960207201301026520458920069424, 13763753091226345046315979581580902400000001, 355693695401647, 51091297859137536000, 7, 40284847, 122000787836928000, 5167, 8222838654203774834464447856640000, 8691549299243595271310888652224681647, 6227388847, 13774112840606294080856907262108157900549167, 363007, 1313941673647, 25852016738891243945647, 15537062060069870960640000], 'label': '15944266600786427904000.a.342._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '342.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '342._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035942
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [98631096171480514581944539713776713813022761, 42035272503473367876930484530063605760000000, 5041, 28281843885118639707054665013481942758508920, 7, 10333156198122650931853211390663322883511, 84867351755340107915831595216888004608000001, 10936698087904228521630984665, 8683326471478260946894419363806194270, 70349260969679493671614188127718835829032528, 98631096163248834150286982513370875969500206, 8222838654177922817725562880000001, 28281843876904642814546718218688166412789041, 8841777504951150022033794642480, 13763753091253513582203547640172174744924721, 51090942171709440001, 98631096163248823261391628861922344960000000, 13774086239201572953265237951967608722063232, 13763753091235197712690379745574286772316216, 13774094930733188657310064568838389760000000, 13774086239192731206756907489193678804748118, 121, 25852016738884976640001, 6227020801, 121645100408832001, 13763753099449183700493902399306465280000000, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 10333156189224799107589469063086080000000, 355687428096001, 8691540457466090270353014536607446526, 39916801, 28271519420469872373687781292597171163262679, 10333156198077449970779711035759575467950], 'label': '15944266600786427904000.a.23256._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035943
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [8231691481923019911933202537034471, 44477334280463895731120900603904000001, 5041, 8683326460573880235220148944896000000, 7, 35794025503768979372196193121821878473, 13774094947709382589696804922004499750045135, 8683326471478286798911515250112681647, 44469120294460606850562222732163241646, 17892905753268690853132850635958123824, 35785793856503285903183376850289740927, 13774094947709405174018679102844024173655807, 13774112815416103465457006655503282132645041, 13774086256169185246653072685512993842049223, 44486087624822186877225155069878277182, 8231680416171662519680106496000000, 6227020801, 25852016738884976640001, 17918104774935311941643228676096000000, 26593199859578153576408809028879933111, 13774112823630100164007178000090082703506910, 1307674368001, 13774104149074667472379717296147410054207857, 362881, 13774122050194428522124203841828936441282871, 13774130733503194683121606253333372510256425, 17909873094519140279123548569600000121, 355687428096001, 13774086239201572953239385934872969216000120, 8700293812728762079102561911972370151, 35794025503398491765382974860664832001, 25199021682158201783036577718300494, 39916801, 13774094939495385697512674434483125181329840, 17892905753575841020850113166269762577, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035944
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280463895731120900603904000001, 8231691481923019911933202537034471, 13774086264391752873403848015955003318300494, 5041, 8708516651398451158689086074150045135, 8683326460573880235220148944896000000, 7, 35794025503768979372196193121821878473, 8683326471478286798911515250112681647, 44469120294460606850562222732163241646, 44494310463491875960020414946910256425, 13774104132098484459936499365769061558123824, 35785793856503285903183376850289740927, 8708516673982773032869925598573655807, 13774130725280356013432523458073495478277182, 26576223372274211360422584856532645041, 8231680416171662519680106496000000, 25852016738884976640001, 6227020801, 17918104774935311941643228676096000000, 26584437368972761531767171657103506910, 26593199859578153576408809028879933111, 362881, 13774104149074667472379717296147410054207857, 1307674368001, 13774094939486543920007725335480337572370151, 17909873094519140279123548569600000121, 355687428096001, 13774086239201572953239385934872969216000120, 35794025503398491765382974860664832001, 39916801, 35811001697330878557608910510841282871, 8700302654506267028201564699581329840, 13774104132098484767086667083031591869762577, 35794025536871737098109427165681904424, 16976454055407426452594568242049223], 'label': '15944266600786427904000.a.930240._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035945
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280463895731120900603904000001, 13774086256168914219225925198229440438300374, 5041, 8708516651398451158689086074150045135, 8683326460573880235220148944896000000, 7, 35794025503768979372196193121821878473, 13774086247424422673168666144851628137034471, 13774104132089643020604137424408034237762577, 8683326471478286798911515250112681647, 13774122041962737201546027939879094198277062, 44469120294460606850562222732163241646, 44494310463491875960020414946910256425, 13774122024986587694531549416295275889740927, 13774094947709405174018679102844024173655807, 13774112815416103465457006655503282132645041, 8231680416171662519680106496000000, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 17918104774935311941643228676096000000, 26584437368972761531767171657103506910, 13774112832392590769399222641727454479933111, 1307674368001, 362881, 13774122050194428522124203841828936441282871, 17909873094519140279123548569600000121, 355687428096001, 35794025503398491765382974860664832001, 17918104774935311993880954547334207977, 13774104132089642697942759663814517942123944, 8708516651382940001920287474852370271, 39916801, 8700302654506267028201564699581329840, 35794025536871737098109427165681904424, 16976454055407426452594568242049223], 'label': '15944266600786427904000.a.930240._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035946
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [44477334280463895731120900603904000001, 13774086264391752873403848015955003318300494, 8708525493160444951019290262461329960, 5041, 13774112815407261703463266953548738516645161, 8683326460573880235220148944896000000, 7, 35794025503768979372196193121821878473, 13774086247424422673168666144851628137034471, 8683326471478286798911515250112681647, 44469120294460606850562222732163241646, 25199292709585349270320131122049343, 13774104132098484459936499365769061558123824, 13774122024986587694531549416295275889740927, 35810992844679989464502220545630256305, 13774130725280356013432523458073495478277182, 8231680416171662519680106496000000, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 17918104774935311941643228676096000000, 26584446210734755271469126200719506790, 13774112832392590769399222641727454479933111, 1307674368001, 362881, 17909873094519140279123548569600000121, 355687428096001, 8700293812728762079102561911972370151, 35794025503398491765382974860664832001, 17918104774935311993880954547334207977, 13774130733512047334010699360023337721282991, 13774094939486566519840756285118461293655687, 39916801, 8700293812744273235871360511270045015, 13774104132098484767086667083031591869762577, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035947
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28271510737152253561775433878974139812704136, 6227020920, 25852016738891203660800, 8683326460573880235220148944896000000, 28271510737152253577394604600817805979582223, 13774130716527011655167280583502181741660847, 6227383680, 1313901388800, 8683326460589417297280218816119088503, 355693655116800, 42045596976344984768558144361182371220632440, 15537113272658510756662326, 8691540468370470930936344091440220847, 28271492861231514209726159844762524007197231, 42045605659671445326927116257817381609472430, 6266937600, 44477334291337279823512661977605969064, 17918104774935311995161783501060324601, 44477334291353384613244798872087510982, 44469120294493437946215360378200037430, 42045587783750716879258553774346450285660847, 8231680416171662519680106496000000, 6227025840, 6227020801, 6227020806, 13774112832392286284266160576615940096000000, 42045623569544551589294346077687993015116807, 35794025649873949588265430476964489742, 13774130708313037347358979775474311583626465, 44477334528941070747978627264883360871, 42045614878004082380380748472872059022040367, 13774104157297517030964151445512626656772185, 13774122033218415409362364423921811926152654, 42045605651439764910729604027008954107920056, 13774122033218245494143975063969384436828847, 28271537322120128254161347641395476398096974, 10888869450418367430509182087, 13774086239192731191271549467521236627521359, 44469120283556200337961798598656000000, 13774104149065825710385976569409954788720984, 13774130708313025651852547886083329472681647], 'label': '15944266600786427904000.a.930240._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035948
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [35785793822997831363876279806596189025, 6227020920, 25852016738891203660800, 8683326460573880235220148944896000000, 13774130716527011655167280583502181741660847, 6227383680, 1313901388800, 42045596968122394607014741978862709088362664, 8683326460589417297280218816119088503, 13774130708313014747579899193875876498872256, 28271519412256056285617340941522377673656609, 42045605651448606672723343728963491496899256, 355693655116800, 42045579100433087162965545655727927952460800, 6266937600, 28271510737161084434899671949968408576000000, 44477334291337279823512661977605969064, 17918104774935311995161783501060324601, 42045587775527878209543517683962490348172921, 44469120294493437946215360378200037430, 8231680416171662519680106496000000, 6227025840, 6227020801, 6227020806, 13774112832392286284266160576615940096000000, 42045596968122135210567286564955595724291337, 35794025649873949588265430476964489742, 13774130708313037347358979775474311583626465, 13774104157297517030964151445512626656772185, 42045587783741875117264814072391912896681647, 17909873128024594869521944780186025640, 13774094922519202669532393934108868455588064, 42045596976353826530551884063136914836995320, 44469120283556200337961798598656000000, 13774104157297506126557587998149197247587489, 13774130708313014762983046255162110670225303, 42045587775527867336211180538281387176568360, 13774104149065825710385976569409954788720984, 28271519412255864592608244772082353611852800, 28271501536335147033809081499650349520916992, 42045623561321701192267243991066460302035327], 'label': '15944266600786427904000.a.930240._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035949
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42035245944235031490733618239375945467920056, 6227020920, 8683326460573880235220148944896000000, 13774112840606283191987456965413758120568360, 6227383680, 1313901388800, 191693009096291085130697656609, 8683326460589417297280218816119088503, 13774086239192731191271549462601584064681647, 355693655116800, 42035272511696206531242322468593121291704256, 6266937600, 13774122024986554173565802493122904324324601, 13774094922519451162166967768723351904362664, 44477334291337279823512661977605969064, 28281826000975072604884418343774821780632440, 13774086247424411622928518795929524307020800, 44469120294493437946215360378200037430, 8231680416171662519680106496000000, 6227025840, 6227020801, 13774086239192731191245646232918425600000000, 35785793822982320102741649653760000000, 6227020806, 8683326460573880286311091122832460800, 35794025649873949588265430476964489742, 13774130708313037347358979775474311583626465, 42035272511696206546645469408234255054230343, 42035290421569301050248686593339840018608289, 13774104157297517030964151445512626656772185, 42035245952466711922442340394489718548567264, 28281870470095378762132780823719544135004840, 13774122024986565062435199393275981292172921, 13774112840606283177043974594135827404291337, 8683326460573880235341794051531852800, 28281843876895801052930750065788043406040367, 28281834684301522274358087683673692243020800, 13774112840606294080856907383753264576681647, 35785793833886700763208963840464916992, 13774104149065825710385976569409954788720984, 28281843885127470595340599735936090839209825], 'label': '15944266600786427904000.a.930240._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035950
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [35794025649873949588265430476964489742, 28281843876904642814924489767742587022035327, 28281861786777726445385325808877806540291337, 42035245952457870144911541057101502120899256, 13774130708313037347358979775474311583626465, 6227020806, 35785793822982320102741649653760000000, 13774112840606294080856907383753264576681647, 6227020920, 13774122024986554173565802493122904324324601, 1313901388800, 6266937600, 13774094922519202669532393934108868455588064, 13774086247424411622928518795929524307020800, 42035272511705059197482807517057898960916992, 42035254635784511522931419722727758793656609, 28281826009198159751696861596906285408362664, 6227025840, 6227020801, 8683326460573880235341794051531852800, 8231680416171662519680106496000000, 13774130708313014762983046255162110670225303, 28281861786777726460328808180155737256568360, 35785793822997831363876279806596189025, 17909873128024594869521944780186025640, 8683326460573880235220148944896000000, 8683326460573880286311091122832460800, 355693655116800, 28281826009197911259062341161500384660995320, 28281834692524360928536010501399248896000000, 13774104149065825710385976569409954788720984, 13774104157297517030964151445512626656772185, 13774104157297506126557587998149197247587489, 8683326460589417297280218816119088503, 44477334291337279823512661977605969064, 13774130708313014747579899193875876498872256, 6227383680, 44469120294493437946215360378200037430, 28281852568445100280585284538208234988172921, 13774086239192731191245646232918425600000000, 13774086239192731191271549462601584064681647], 'label': '15944266600786427904000.a.930240._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035951
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [28281861778015540309021553378212959154578785, 6227020920, 25852016738891203660800, 26593199565981915867870087733319849647, 44477334291352791084647290816500828847, 42035290396370290272497099848349686085438761, 6227383680, 355693655116800, 35785793822982320153832591831696460800, 17909873105423520939585235813906675206, 8691540457466064418335919964160000000, 42035272520449584393639098942422838317113601, 28281834675548200517220834206931885618754150, 248443131068084431717203132726, 6266937600, 28281870461342000882901737628709145536377727, 42035254618808147706322807353189304246288566, 8231680416171662519680106496000000, 42035245935481687132468372937548967311915566, 6227025840, 6227020801, 28281834667316497499895330272327699605310662, 35785793822982320102741649653760000000, 13774112832392286284266160576615940096000000, 6227020806, 44477334291352791084768935923136681647, 13774104149066107643460532191088438986981550, 17918104774935311941643229989997388800, 42035245927267690224773245220859493871979007, 13774112832392286284266211789560207317127536, 42035290396370583885486965825781150332061784, 42035263845354770747228042691868602005462710, 28281852577189592003550302460582027335845199, 13774112832392297188646821038300475122819241, 28281861778015551585078962708789208844684806], 'label': '15944266600786427904000.a.930240._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035952
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42045623544336665528531412595558249538289862, 6227020920, 25852016738891203660800, 26593199565981915867870087733319849647, 44477334291352791084647290816500828847, 6227383680, 355693655116800, 35785793822982320153832591831696460800, 17909873105423520939585235813906675206, 8691540457466064418335919964160000000, 248443131068084431717203132726, 28271519429223216763001296648667693298417961, 6266937600, 42045587758542842530726002918614353908824399, 42045579083448073649074839548720457524601606, 8231680416171662519680106496000000, 6227025840, 42045579083448062373017430218144214021599585, 6227020801, 35785793822982320102741649653760000000, 13774112832392286284266160576615940096000000, 28271519437454897179147106895156977673309366, 6227020806, 44477334291352791084768935923136681647, 17918104774935311941643229989997388800, 13774104149066107643460532191088438986981550, 28271492844255331181771783986383442577366710, 28271528630049165068472496097617724898936366, 28271528621835168160777368380928251458999807, 28271501519350415856850883502550600399082584, 13774112832392286284266211789560207317127536, 42045587766774522946897614468640400403398527, 28271537305143967810502942978943013850092801, 13774112832392297188646821038300475122819241, 42045605676647640082677092912062665293122150], 'label': '15944266600786427904000.a.930240._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035953
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5814, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 5041, 7, 8222849558584486509090554631222478, 28271501527572960882528107281849155626170008, 122000794064311801, 8841761994168149916009553032649, 28271501527581791755626596275347860139874416, 28271501519358953101474096388802747945486696, 28271501527581802660032679788702974251376214, 28271501519358953117013462918112055996926384, 28271501519350122228323955213476436556759080, 8231691305067016167715425728681646, 51090942171709440001, 28271501527746464967359490205163037967888865, 355687428459001, 28271501527581802660438551233970615478596184, 28271501519596788627450168501547592439610198, 8231691305067016172990825721455574, 121, 6227020801, 25852016738884976640001, 8222849543047424449021997136041646, 16985058311019730465205598259440310, 28271501672154085412973065965358479916390527, 362881, 1307674368001, 28271501527572960882501877905034766940272057, 10889003313812511270744883182, 25217325871730155959172537095941167, 8222838669715036346833388469545824, 28271501527572960898039368537767353725438727, 8222849543048496600699624081387168, 28271501527581791755651968114432628755890208, 28271501544549133021638456286848168835236600, 39916801, 254679523649135395455620006481115744, 127083277544860420196565868890819247, 8852666400303271318747054108505, 10888869450418352160768000001], 'label': '15944266600786427904000.a.23256._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035954
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [42035272520458392682415662028074185794289862, 44477334280448384521077569617920000000, 5041, 13774094930733188657310064568839697434368001, 8683326460573880235220148944896000000, 7, 42035263837131932093050119872630999028824399, 28281825983998889576904137189580031458936366, 42035290396379425647480705527735700175082584, 26593199565997427078035063819712681647, 44477334280448384572290513885141127536, 42035254610585309052170736808654569714417961, 28281861769792735143546114112086135770092801, 42035245935490517990081503268761234437599585, 13774122033218245494118071955935430162675206, 42035263837131942997404928438863372297309366, 13774112840606283176450343692386959360362881, 8231691305041112938032267264000001, 8231680416171662519680106496000000, 121, 35794025503398491765261329766483020801, 25852016738884976640001, 28281825992230569977564855108341683778999807, 13774086239192731191245697323860597309440001, 13774104149066107643460532191088438986981550, 28281870461333159120907997926754608147398527, 44477334280448384521077925305348096001, 13774086247424411607417308752598532096000000, 28281852585412430657728225279463936657366710, 42035254610585320764429224319451009613122150, 39916801, 28281834667325350522461172369562937140601606, 13774094922519202669532445022788575303849646, 13774112832392297188646821038300475122819241, 13774112840606531619581411776818676563132726], 'label': '15944266600786427904000.a.930240._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035955
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28271492844264172943765523687180325810578785, 44477334291337279874603959836743849647, 42045623561312848541000481517893972008148336, 5041, 7, 28271510754137278738963212141305145100684806, 13774104140312492225479188299329394242999807, 26593199555093020514343697520723020801, 42045579100424493844102822947262923643049526, 28271501519358986590176579939247909933113601, 8683326460573906087236887829872640001, 13774104132098495348805949784476829154936366, 13774094939486533031138272613030974097366710, 13774104132098484444425340413735847924824399, 8691540457466064418335919964160000000, 8683326460573880235220150252570368001, 8231962349246269354301550282981550, 28271501519358975718113244737868799538754150, 44469120294460606901531519803463849646, 28271501519358953101474045417996405696377727, 13774122050185575871235109588349678658289862, 8231680416171662519680106496000000, 121, 17918104774935311941643228676096000000, 362881, 355687428096001, 28271537305153080601164725946154791548061784, 35785793833886726666433015958976681647, 8231691320552322981364641522819241, 39916801, 35794025503398491816352271931965440001, 13774122041971589867946280376707612914417961, 42045587775519025558680327563300051027020800, 42045623561312859445381090766635635192307206, 28271510745905597951088948857282463670288566], 'label': '15944266600786427904000.a.930240._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035956
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763753116434208813155099631318547389762577, 8231691481923019911933202537034471, 10368933760209127249769392987176960000001, 13763779675663724892435805119969461412370151, 5041, 7, 35794025503768979372196193121821878473, 363000, 13774094947709382589696804922004499750045135, 13774122041962737217083038787718688143506910, 17909873105408035632771583888832681527, 13763797585536808522680779624461535158300494, 8691540457466064418335919964160000000, 10333147966386144929718889063394438207857, 35785793856503285903183376850289740927, 13774094947709405174018679102844024173655807, 13774112815416103465457006655503282132645041, 35785793833871215405177097700874046646, 17909873094519140279123548569600000000, 13763779667449717111356317385141946294277182, 8231680416171662519680106496000000, 6227020801, 25852016738884976640001, 44477334291352791084768935923136681647, 1307674368001, 13774122050194428522124203841828936441282871, 13774130733503194683121606253333372510256425, 355687428096001, 13763753116434208506004931914056017078123824, 8691540457466064418335919964160000121, 13774094939495385697512674434483125181329840, 39916801, 35785794127467453164806761168143933111, 13774112823630371175897314639534042162049223, 35794025536871737098109427165681904424, 35785793822982320102863294754168832120], 'label': '15944266600786427904000.a.930240._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035957
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8231691481923019911933202537034471, 13774086264391752873403848015955003318300494, 10368933760209127249769392987176960000001, 5041, 7, 35794025503768979372196193121821878473, 363000, 13763779667440886253769039071042497830045135, 13763761791520146901719764912925912463506910, 13763779675672566669940754218972249021329840, 17909873105408035632771583888832681527, 13774104132098484459936499365769061558123824, 8691540457466064418335919964160000000, 10333147966386144929718889063394438207857, 35785793856503285903183376850289740927, 13763753116425366743985341342151794270256425, 35785793833871215405177097700874046646, 17909873094519140279123548569600000000, 13774130725280356013432523458073495478277182, 8231680416171662519680106496000000, 6227020801, 25852016738884976640001, 44477334291352791084768935923136681647, 13763770992346106096060518364988300025282871, 13763788902219223199522619674961753453655807, 1307674368001, 13763797585545921312101666813699632178049223, 13774094939486543920007725335480337572370151, 355687428096001, 8691540457466064418335919964160000121, 39916801, 35785794127467453164806761168143933111, 13763761799751827511525439203790237652645041, 13774104132098484767086667083031591869762577, 35794025536871737098109427165681904424, 35785793822982320102863294754168832120], 'label': '15944266600786427904000.a.930240._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035958
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [17918104774935311993880954547334202817, 10377617077827939136264911181578240000000, 13774104132089643005092927381077048213845777, 5041, 7, 35794025503768979372196193121821878473, 363000, 13774086256168914219225925198229440438300495, 13774122041962737201546027939879094198277176, 13763779667440886253769039071042497830045135, 13763761791520146901719764912925912463506910, 10341831284038477781962611259121009740927, 13763779675672566669940754218972249021329840, 17909873105408035632771583888832681527, 8691540457466064418335919964160000000, 13763779675672566654429544943569105437202151, 13763753116425366743985341342151794270256425, 13774094947709405174018679102844024173655807, 13774112815416103465457006655503282132645041, 35785793833871215405177097700874046646, 17909873094519140279123548569600000000, 8231680416171662519680106496000000, 6227020801, 25852016738884976640001, 44477334291352791084768935923136681647, 1307674368001, 13763797585545921312101666813699632178049223, 13774122050194428522124203841828936441282871, 13774104132089642697942759663814511715103024, 355687428096001, 10341831284309441949224234643438863933111, 8691540457466064418335919964160000121, 39916801, 10351066062330383999225984864751721034471, 35794025536871737098109427165681904424, 35785793822982320102863294754168832120], 'label': '15944266600786427904000.a.930240._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035959
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [17918104774935311993880954547334202817, 10377617077827939136264911181578240000000, 13774086264391752873403848015955003318300494, 13763779675663724892435805119969461412370151, 5041, 7, 35794025503768979372196193121821878473, 363000, 10341831284038477781962611259121009740927, 17909873105408035632771583888832681527, 13774104132098484459936499365769061558123824, 8691540457466064418335919964160000000, 13774130733512047334010699360023337721287911, 35785793833871215405177097700874046646, 17909873094519140279123548569600000000, 13774130725280356013432523458073495478277182, 13763779667449728015762778772998349120413135, 8231680416171662519680106496000000, 13774094939486566519840756285118461293655806, 6227020801, 25852016738884976640001, 44477334291352791084768935923136681647, 13763788902228302500215171295505230898054263, 1307674368001, 13774112815407261703463266953548738516645040, 13763761799742985555897687730651475343501870, 355687428096001, 10341831284309441949224234643438863933111, 8691540457466064418335919964160000121, 39916801, 13763753108202528089807418524426231390256431, 10351066062330383999225984864751721034471, 13774104132098484767086667083031591869762577, 13763779675663724907947014517017705405329841, 35794025536871737098109427165681904424, 35785793822982320102863294754168832120], 'label': '15944266600786427904000.a.930240._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036421
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [8231691305066964955126839711457937, 8683326460573880235220148944896000000, 7, 10333156189235688002942995461735163905342, 15537062060069870960640000, 10341839506843626505296568282400546729527, 13763753091226355950722492060358621597021145, 8841777504949745285529600000000, 13763753091226345046341831598319787376640000, 356995102464000, 10333147966386144955518668076408176640000, 13763753091226355950722492060358621597027343, 122000794063948801, 10888895302435091045744640000, 5160, 121, 10341831292857607679403502427215233234791, 6227020801, 10333147966386160440876816670645232626417, 13774094922519202669506541915118684711971326, 13774094930733188657310223085564663535036727, 13763753099458036351357092519613169664023351, 362881, 1307674368001, 13901662636365206374159816455792734893824007, 8222849543047373236077723648000000, 39916801, 13763761774543963858202475222532115158531624, 13816626380671315167789634749493306702828806, 51090942177936460800], 'label': '15944266600786427904000.a.2418624._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2418624.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2418624._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035960
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28271537330351808654795899437319204603920056, 42045623569535687195178353244320368075852800, 13774086247415569860934830185274147543209825, 6227020920, 25852016738891203660800, 8683326460573880235220148944896000000, 6227383680, 42045596968122394607014741978862709088362664, 1313901388800, 8683326460589417297280218816119088503, 355693655116800, 42045579100433087162965545655727927952460800, 42045623569535878888187449413760392137656609, 13774122024995395935693403797326575627704256, 35785793833886726666311015178720772185, 35794025503398491816474272719844720984, 6266937600, 13774122024995429441014079074918827335004840, 44477334291337279823512661977605969064, 15537113273014138221660847, 17918104774935311995161783501060324601, 42045587775527878209543517683962490348172921, 13774104149074667472379665180423640594608289, 44469120294493437946215360378200037430, 8231680416171662519680106496000000, 6227025840, 6227020801, 6227020806, 42045579100433087162965494564785750016000000, 42045596968122135210567286564955595724291337, 35794025649873949588265430476964489742, 8231703016084658100437393823626465, 42045587783741875117264814072391912896681647, 28271528638811351204268594136041495956632440, 13774112832383444522272420874661402707020800, 44469120283556200337961798598656000000, 42045596976353826530525978650201020880916992, 13774122024995395951096550736967709390230343, 42045587775527867336211180538281387176568360, 13774094922510360907538654232154318612567264, 28271501536326305256707755314543837326040367], 'label': '15944266600786427904000.a.930240._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035961
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [17909881947185540531306544604948567264, 42045623569535687195178353244320368075852800, 6227020920, 25852016738891203660800, 8683326460573880235220148944896000000, 6227383680, 42045596968122394607014741978862709088362664, 1313901388800, 8683326460589417297280218816119088503, 8841761993739701954549843020800, 8691549299228192073158678460427704256, 355693655116800, 42045579100433087162965545655727927952460800, 42045596976344984768558144361182371220632440, 42045623569535878888187449413760392137656609, 8691549299243595220098319594190230343, 35785793833886726666311015178720772185, 35794025503398491816474272719844720984, 6266937600, 44477334291337279823512661977605969064, 15537113273014138221660847, 17918104774935311995161783501060324601, 44469111441809717859394474214103209825, 42045587775527878209543517683962490348172921, 44469120294493437946215360378200037430, 8231680416171662519680106496000000, 6227025840, 6227020801, 6227020806, 42045579100433087162965494564785750016000000, 42045596968122135210567286564955595724291337, 35794025649873949588265430476964489742, 42045614878004082380380748472872059022040367, 8231703016084658100437393823626465, 42045605651439764910729604027008954107920056, 42045587783741875117264814072391912896681647, 17918095966678772792339670336839004840, 35794016661636498025681377318418608289, 44469120283556200337961798598656000000, 42045596976353826530525978650201020880916992, 42045587775527867336211180538281387176568360], 'label': '15944266600786427904000.a.930240._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035962
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13774130716535853401757822775360060990879433, 10333156198066576612591842973488363113526, 13763753091235197697205072809568669959578376, 5041, 7, 13774112832383444522272471965960563331837648, 10368941991889543986962674576617475305006, 13774104149074667472405568166458282970461151, 8691540457466064418335919964160000000, 10377625300677530361839737472403266904246, 8683326460589391445646495359001093753, 26601413552000741810610488965273816327, 44469120294445095691609833917888681646, 17909873094519140279123548569600000000, 10351057839491955690320399334398815562176, 10377625300666608851301007592857158859870, 10351066071161095778721567580344180587542, 13763761782775677747619470467552815601904424, 13763771001108281327449998533252549519841961, 8231680416171662519680106496000000, 121, 6227020801, 25852016738884976640001, 13763761774543974747449748280144345757856294, 17909873105423520941122913116796045094, 1307674368001, 362881, 355687428096001, 35794025503398491765382974860664832001, 13774112840615135842824743856381651057882838, 10904380713468046773770463217, 8691540468370470982027286269376681647, 10351057839491553317218959018460851893161, 13763797560337786840522577841424957440000000, 39916801, 13774086239201572953239385934872969216000001, 10341831292880239775702313213664625740926, 17909873343027175911054079398748888446, 10904380660461684460655819520, 13774122024995395935585391784559447650710624, 13774112840615135843390276020809889045186536, 13774112840615135842824795073132565676323760, 10888869450418352160768000001], 'label': '15944266600786427904000.a.930240._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035963
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10377617077827939136264911181578240000000, 10333156198066576612591842973488363113526, 10368941983047796964805489754143306955870, 10377625309508355873458192771018795221806, 5041, 10341831284015861196873848322987180323761, 7, 10341831292846718809952962785634947837648, 10351066062330594357033173728975711562176, 10341831284038477781962611259121009740927, 8691540457466064418335919964160000000, 10351057848322426197601239758110230962633, 8222838654177922943894096783841960, 8683326460589391445646495359001093753, 44469120294445095691609833917888681646, 17909873094519140279123548569600000000, 10351066071161095778721567580344180587542, 8231680416171662519680106496000000, 10359749388779892154006920797431477731424, 121, 26593190713346563887792763402393816326, 6227020801, 25852016738884976640001, 35785793833871567375922018695837856294, 10341839506854515374745449297635441882838, 17909873105423520941122913116796045094, 1307674368001, 362881, 44469120294445095691487831822599578376, 8841761993739701954543616000001, 10333147966386144955569759374267354461151, 10341831284015861762354796000310549186416, 355687428096001, 35794025503398491765382974860664832001, 10904380713468046773770463217, 10368941983058718475344219278001986904247, 8691540468370470982027286269376681647, 10351057839491553317218959018460851893161, 39916801, 17909873343027175911054079398748888446, 10904380660461684460655819520, 35794025536871737098109427165681904424, 10888869450418352160768000001], 'label': '15944266600786427904000.a.930240._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035964
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 5814, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 5041, 7, 42045579083456904134985746989716197031778416, 122000794064311801, 8222849558584486509090554631222478, 42045579083448073261861028619758791260272063, 42045579083448073277398519252491378045438726, 8841761994168149916009553032649, 42045579075234065480833247103526772265481656, 42045579100424245400997607001572193155236601, 42045579083621577346718640919887062287888871, 42045579075225234607683105928200460876759081, 42045579083456904135011118829156653075890209, 8231691305067016167715425728681646, 51090942171709440001, 42045579228029197792332216680082504236390526, 355687428459001, 42045579075471901006783467199532731782970198, 8231691305067016172990825721455574, 121, 42045579083456915039797701948694633571575384, 6227020801, 25852016738884976640001, 8222849543047424449021997136041646, 16985058311019730465205598259440310, 362881, 1307674368001, 42045579083448073261887257996573179946170009, 10889003313812511270744883182, 25217325871730155959172537095941167, 8222838669715036346833388469545824, 42045579083456915039391830503426998571376215, 8222849543048496600699624081387168, 39916801, 254679523649135395455620006481115744, 127083277544860420196565868890819247, 42045579075234065496372613632836080316926390, 8852666400303271318747054108505, 10888869450418352160768000001], 'label': '15944266600786427904000.a.23256._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035965
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8231691481923019911933202537034471, 13763779675663724892435805119969461412370151, 5041, 8683326460573880235220148944896000000, 17909881936281134071063228984454207857, 7, 35794025503768979372196193121821878473, 363000, 17918104774935311941643228676096000121, 26593199565997427078035063819712681647, 13763779667440886253769039071042497830045135, 13763761791520146901719764912925912463506910, 13763779675672566669940754218972249021329840, 17909873105408035632771583888832681527, 13763797585536808522680779624461535158300494, 35785793856503285903183376850289740927, 13763779667440908838090913251882022253655807, 13763753116425366743985341342151794270256425, 26593199565981915816779145561610046646, 13763779667449717111356317385141946294277182, 8231680416171662519680106496000000, 26601422393747198437161423077376000001, 6227020801, 25852016738884976640001, 26593199859578153576408809028879933111, 35785793822982320102741649653760000000, 13763770992346106096060518364988300025282871, 1307674368001, 355687428096001, 13763753116434208506004931914056017078123824, 13763788893996351379303539853288094653762577, 39916801, 13763788902219460738221431593550687282049223, 13763761799751827511525439203790237652645041, 8691540457466064418457565064568832120, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035966
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8231691481923019911933202537034471, 10341856491868610139126273546858452645041, 13763779675663724892435805119969461412370151, 5041, 8683326460573880235220148944896000000, 7, 35794025503768979372196193121821878473, 10359724180927352382726140799118630045135, 363000, 10341848260188000333451982682533263506910, 17918104774935311941643228676096000121, 26593199565997427078035063819712681647, 17909873105408035632771583888832681527, 13763797585536808522680779624461535158300494, 10359732412607768554441288728869821329840, 35785793856503285903183376850289740927, 10359724180949936704600321638643053655807, 10333173165407842599028411908415070256425, 26593199565981915816779145561610046646, 10351049086147194674205434744920825282871, 13774112840615124938444083394341502976000001, 13763779667449717111356317385141946294277182, 8231680416171662519680106496000000, 25852016738884976640001, 6227020801, 26593199859578153576408809028879933111, 35785793822982320102741649653760000000, 1307674368001, 13774104149074667472379717296147410054207857, 355687428096001, 13763753116434208506004931914056017078123824, 13763788893996351379303539853288094653762577, 39916801, 10368958959501836835118663307308082049223, 8691540457466064418457565064568832120, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035967
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8231691481923019911933202537034471, 10341856491868610139126273546858452645041, 6227020920, 25852016738884976640120, 8683326460573880235220148944896000000, 35794025503768979372196193121821878473, 35794025503398491765382974860664832120, 1307674368120, 363000, 10377617086669701130004613136121856000120, 10341848260188000333451982682533263506910, 355687428096120, 44494319305253895550592319169718123824, 8691540468370470930936344097667241527, 10333147966386144929718889063394438207857, 35785793856503285903183376850289740927, 26584446210719218260621286606774300494, 39916920, 10368958959241713814432563878849830045135, 10359724180949936704600321638643053655807, 10341848260459012223588622126492722049223, 8708525482256038437003185522614277182, 10351049086147194674205434744920825282871, 5160, 8231680416171662519680106496000000, 121, 10368950745244821630302076357475261329840, 126, 8700293812728762079102561911972370151, 35794025503398491765261329760256000000, 35785793833886726666433015958976681647, 35785794127467453164806761168143933111, 17892905753575841020850113166269762577, 35785793822997831312784980639744000120, 10359732412596879659087250158444126256425, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035968
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8231691481923019911933202537034471, 16976193932386792347580750585282871, 25852016738884976640120, 6227020920, 8708516651398451158689086074150045135, 8683326460573880235220148944896000000, 35794025503768979372196193121821878473, 35794025503398491765382974860664832120, 1307674368120, 363000, 10377617086669701130004613136121856000120, 355687428096120, 10377642276849621294466694218155958300494, 44494310463491875960020414946910256425, 35811001686635643066845664587732645041, 8691540468370470930936344097667241527, 10333147966386144929718889063394438207857, 35785793856503285903183376850289740927, 39916920, 8708516673982773032869925598573655807, 10359724189758209970004454898567094277182, 5160, 8231680416171662519680106496000000, 121, 126, 26584437368972761531767171657103506910, 10333173174249604618618983812637878123824, 35794025503398491765261329760256000000, 35785793833886726666433015958976681647, 35785794127467453164806761168143933111, 10368950736392477917226923044715453762577, 35785793822997831312784980639744000120, 8700302654506267028201564699581329840, 10368950736403044125352977354687652370151, 26584437639984651668406615616562049223, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035969
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28271510754128425700912012139121599507398527, 6227020920, 13774086264392057390800226728260455119082584, 7, 6227383680, 44477334280448384572290513885141127536, 13774104132098484444425340413734546437599585, 15511210043330985984362880, 13774104132098484444425340413735847924824399, 8691540457466064418335919964160000000, 13774122050185586760104611219287810057309366, 44469120283556200389052740770365440006, 248443131068084431717203132726, 28271519429223216763001296648667693298417961, 6266937600, 28271519437454897550849707659499546420601606, 42045587783742146145932857215647051466981550, 42045587783741875117238910842710142706819241, 13774086256177778597884665145854399053122150, 13774122050185575871235109588349678658289862, 8231680416171662519680106496000000, 6227025840, 25852016738884976645040, 6227020801, 42045623561321701207374830468591486482675206, 42045579100433087162965494564785750016000000, 28271492844255331181771783986383442577366710, 26593199555093020514343697514496000000, 28271528630049165068472496097617724898936366, 28271528621835168160777368380928251458999807, 355687428096006, 10888869450418352160807916800, 28271537305143967810502942978943013850092801, 17909873105423546842814914874816681647, 26593199555093020514343698822170368001], 'label': '15944266600786427904000.a.930240._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035970
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42045623544336665528531412595558249538289862, 6227020920, 7, 8700293813115950035709531137844601606, 6227383680, 44477334280448384572290513885141127536, 15511210043330985984362880, 8691540457466064418335919964160000000, 44469120283556200389052740770365440006, 248443131068084431717203132726, 6266937600, 42045587758542842530726002918614353908824399, 42045587783742146145932857215647051466981550, 35802778881261022456855963423706092801, 42045587783741875117238910842710142706819241, 42045596985107464517344053042777737935082584, 8231680416171662519680106496000000, 25852016738884976645040, 6227025840, 42045579083448062373017430218144214021599585, 6227020801, 26584446210719244112517893739153366710, 42045579100433087162965494564785750016000000, 42045623561321701207374830468591486482675206, 44494319316127254056410108483138999807, 26593199555093020514343697514496000000, 42045623544336676417400914226496380937309366, 355687428096006, 10888869450418352160807916800, 25199032586564714517910552818417961, 44486087635726593338491346830818936366, 17909873105423546842814914874816681647, 26593199555093020514343698822170368001, 42045605676647640082677092912062665293122150, 16985024789999819593062278163398527], 'label': '15944266600786427904000.a.930240._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035971
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10368958959230809407971176023754678300374, 10377617077827939136264911181578240000000, 10341856491868610139126273546858452645041, 6227020920, 25852016738884976640120, 8708516651398451158689086074150045135, 8683326460573880235220148944896000000, 35794025503768979372196193121821878473, 35794025503398491765382974860664832120, 1307674368120, 363000, 355687428096120, 10341831284038477781962611259121009740927, 44494310463491875960020414946910256425, 8691540468370470930936344097667241527, 39916920, 10359724180949936704600321638643053655807, 10359724180916447976264752944023478277062, 10351049086147194674205434744920825282871, 10377634054011305314932484570102717762577, 5160, 8231680416171662519680106496000000, 121, 126, 26584437368972761531767171657103506910, 10333164951410950440696166087074998123944, 35794025503398491765261329760256000000, 10341831284309441949224234643438863933111, 17918104774935311993880954547334207977, 35785793833886726666433015958976681647, 8708516651382940001920287474852370271, 10351066062330383999225984864751721034471, 35785793822997831312784980639744000120, 8700302654506267028201564699581329840, 26584437639984651668406615616562049223, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035972
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10377617077827939136264911181578240000000, 8708525493160444951019290262461329960, 6227020920, 25852016738884976640120, 8683326460573880235220148944896000000, 35794025503768979372196193121821878473, 35794025503398491765382974860664832120, 1307674368120, 363000, 355687428096120, 10377642276849621294466694218155958300494, 10341831284038477781962611259121009740927, 10351049094988956667945136699464441282991, 8691540468370470930936344097667241527, 39916920, 35810992844679989464502220545630256305, 10359724189791698698340023593186669655687, 10359724189758209970004454898567094277182, 10341848269029955961203455821295572645161, 5160, 8231680416171662519680106496000000, 121, 126, 26584446210734755271469126200719506790, 8700293812728762079102561911972370151, 10333173174249604618618983812637878123824, 35794025503398491765261329760256000000, 10341831284309441949224234643438863933111, 17918104774935311993880954547334207977, 35785793833886726666433015958976681647, 10368950736392477917226923044715453762577, 10351066062330383999225984864751721034471, 35785793822997831312784980639744000120, 8700293812744273235871360511270045015, 26584446481746645408108570160178049343, 35794025536871737098109427165681904424], 'label': '15944266600786427904000.a.930240._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035973
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [44486096477488587078193301368207915566, 6227020920, 17892896911491185903509208812480377727, 35785793822982320153832591825469440006, 25852016738891203660800, 7, 8683326471462749685638501111891020800, 42045587766765985702274452553194582652061784, 44477334280448384572290513885141127536, 44494310474365260316708153933295979007, 8691540457466064418335919964160000000, 248443131068084431717203132726, 42045587783742146145932857215647051466981550, 42045614877995229729113934786755297280000000, 8683326471462749685638501105703916800, 42045587783741875117238910842710142706819241, 42045623544345518179394653928450918326288566, 8231680416171662519680106496000000, 8691540468370470981905641168967849641, 6227025840, 6227020801, 42045596985098318237979786523967214514578785, 42045605676638798320683353210106814002754150, 42045623561321701207374830468591486482675206, 25207874348558454219865102661438761, 26576223372065066189700523863701462710, 26593199555093020514343697514496000000, 42045587766765681184903925736339923015845199, 8691540468370470982027286269376681647, 16976194304063540191336736524684806, 42045579083456904150496476855394307221310662, 44469120283556200337962154286084096006, 26593199565981889964762049675264362880, 17909873105408035632649938788423486761, 26584437402445952856366380280877113601], 'label': '15944266600786427904000.a.930240._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036012
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [42056511372107307883911461699133112320000000, 13785018553069302590000526256401232500963246, 15537113272657149305932927, 7, 70306738771523021438810384990142015559171631, 21265453071319885364117413976759964748921, 13763761774543963858202475099775303680000000, 28292758323083302625941416247322736015420841, 122000787877207680, 10341831284004956816162169531924480000000, 40284847, 13785018544306506661384616578058905713496441, 355687428464040, 6266937726, 5160, 21265461851799289573547992075435426217657, 126, 8852650863190120306704384000000, 70338328714990907517357314856554991021578470, 13795343034684790522877932041399166446965465, 21256795501510854778186876971909120000000, 56553327520352319006983409293302724216246704, 56564251116913455365189292315756665909944320, 56542994363623746726283600977486308647723566, 368046, 8222849543047373236077723648000000, 56574575581580526887778667789838172272285518, 10333147975227906949260674886813295984577, 42184046472132118025127591936000000, 25903107682364400732727, 10333164960873362481950761725881288453161, 10341848260198889202902778774742708972927, 13774094939486533046623579547523249239122438, 51212944267220741160, 15537113273014144448681646], 'label': '15944266600786427904000.a.1085280._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035974
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13774094947709371685316195429598876594578785, 6227020920, 25852016738891203660800, 35785793822982320153832591825469440006, 7, 13774104140321627615973790048316076668061784, 28271510754137278738963212141305145100684806, 8683326471462749685638501111891020800, 28271519429232058524995036350622243141438761, 28271528621826326398783628678973701615979007, 28271501519358986590176579939247909933113601, 44477334280448384572290513885141127536, 28271492836032492527593861169013567125462710, 8691540457466064418335919964160000000, 248443131068084431717203132726, 42045587783742146145932857215647051466981550, 42045614877995229729113934786755297280000000, 13774122050194428522098350921242347446288566, 8683326471462749685638501105703916800, 42045587783741875117238910842710142706819241, 28271528630058006830466235799572262287915566, 28271501519358953101474045417996405696377727, 8231680416171662519680106496000000, 6227025840, 8691540468370470981905641168967849641, 6227020801, 42045623561321701207374830468591486482675206, 26593199555093020514343697514496000000, 13774112823630100163981325982995516565310662, 8691540468370470982027286269376681647, 44469120283556200337962154286084096006, 26593199565981889964762049675264362880, 13774086256168936835890925443898547762754150, 17909873105408035632649938788423486761, 13774104140321323098603263231461417031845199], 'label': '15944266600786427904000.a.930240._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035975
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [13763761774552805620196322106641610825915871, 8691796597181073667462647513351849311, 28281825984026024624063369801477465877847801, 8691540457481575628379250956371020800, 1307674368120, 121646408083200000, 10936698087904228521630984665, 13774086239192731191245697323861904983808000, 13774086239192731206756907367191583293440000, 70359594117637038054550114949829751834368000, 13774086239201572953239437025815140925440000, 1307674730880, 70349252286361885764108404041261943553288529, 180722404135566733436530738559, 56585517088023599558089234612871430144368056, 10333156189224799134457925894141438511070, 356995102464000, 8691540457466064418335919964160000000, 13774086239192821560850421872128443474163840, 84857009932287783390699427299858905058933822, 13763770984123256537476084214129137270833343, 98620763015282550085926317012563734023894417, 13763761774809126186689895828323410540749664, 1307714284800, 28281843885127470579855244014971293040008918, 84857009932278930724323905446730789914368000, 56585517088023858891331613348730009496114553, 13763753099449194589363403908600797757440000, 10333156326220956656504230276532897111638, 13763753099449183700493902399306465280000000, 1307674373040, 1307674368001, 1307674368006, 10333156189224799107589469063086080000000, 28281843885127775097199758370474853296010591, 56585507878471475399192036775501290904924721, 10359732412596864147876694980768814156801, 25903107681056686080000, 84867333862452038186665283548390160503960735, 56595841034633542551281561866027824329986558], 'label': '15944266600786427904000.a.23256._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035976
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13774122033209392827743671792293648467020800, 8691540739399139025170541407946981550, 17918104774935337793659967567299660800, 6227020920, 28271510745914428824213186928298882114289862, 13774130716536101844754975096874304379049526, 8683326460573880235220148944896000000, 6227383680, 8683326471462749685638501111891020800, 42045587766765985702274452553194582652061784, 355693655116800, 13774094930742030419303855483737206824148336, 28271519429223216763001296648667693298417961, 35794025503398491816352271938192460800, 6266937600, 17918104785839718505334594981312681647, 42045623552559504167223977508335504320377727, 42045623544345518179394653928450918326288566, 28271537313375614737972121947025688564824399, 17909873094519140279123549883501388800, 42045587758551695568777151951143839500684806, 8231680416171662519680106496000000, 6227025840, 42045623552559537655926512029587008557113601, 6227020801, 42045596985098318237979786523967214514578785, 42045605676638798320683353210106814002754150, 6227020806, 28271492844255331181771783986383442577366710, 26593199555093020514343697514496000000, 26593199565997427077913418713076828847, 28271528630049165068472496097617724898936366, 28271528621835168160777368380928251458999807, 8231691320552322981364641522819241, 13774122033209403732124332253979578872307206], 'label': '15944266600786427904000.a.930240._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035977
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8691540739399139025170541407946981550, 17918104774935337793659967567299660800, 6227020920, 28271510745914428824213186928298882114289862, 8683326460573880235220148944896000000, 28271510754137278738963212141305145100684806, 6227383680, 8683326471462749685638501111891020800, 8841761993739701954549843020800, 355693655116800, 28271501519358986590176579939247909933113601, 28271519429223216763001296648667693298417961, 35794025503398491816352271938192460800, 6266937600, 17918104785839718505334594981312681647, 28271537313375614737972121947025688564824399, 28271501519358953101474045417996405696377727, 17909873094519140279123549883501388800, 8231680416171662519680106496000000, 6227025840, 6227020801, 6227020806, 28271492844255331181771783986383442577366710, 28271492836032515144233009517719854642754150, 26593199555093020514343697514496000000, 26593199565997427077913418713076828847, 28271528630049165068472496097617724898936366, 28271528621835168160777368380928251458999807, 28271501527572949993658279503420183474578785, 28271537305153080601164725946154791548061784, 26601422404651579097623109014008307206, 17909881936281134070038447386664148336, 8231691320552322981364641522819241, 28271510745905597951088948857282463670288566, 8683317867255017563602626118523049526], 'label': '15944266600786427904000.a.930240._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035978
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42045623561312848541000481517893972008148336, 42045587783750705974851990082980157523020800, 8231691320578226211046411712681647, 25199021682184053678487357428824399, 6227020920, 35794025514287361215679681927251020800, 6227383680, 42045579100424493844102822947262923643049526, 42045587766765985702274452553194582652061784, 355693655116800, 8691540457466064418335919964160000000, 8231962349246269354301550282981550, 35794025503398491816352271938192460800, 6266937600, 42045623552559504167223977508335504320377727, 17909873094519140279123548569600000000, 42045623544345518179394653928450918326288566, 17909873094519140279123549883501388800, 42045587758551695568777151951143839500684806, 8231680416171662519680106496000000, 6227025840, 6227020801, 42045596985098318237979786523967214514578785, 42045605676638798320683353210106814002754150, 26584446210719244112517893739153366710, 6227020806, 44494319316127254056410108483138999807, 42045614861019080189862093693667044397113601, 25199032586564714517910552818417961, 8683326460573906087236887836099660800, 8231691320552322981364641522819241, 26584446210734729419452031628354289862, 44486087635726593338491346830818936366, 17918104785839718505212949874676828847, 42045623561312859445381090766635635192307206], 'label': '15944266600786427904000.a.930240._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035979
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42045623544336665528531412595558249538289862, 42045623561312848541000481517893972008148336, 42045587783750705974851990082980157523020800, 8231691320578226211046411712681647, 6227020920, 17892896911491185903509208812480377727, 44486096466584206468822559085490578785, 35794025514287361215679681927251020800, 42045605668415947938735946811985450562999807, 6227383680, 42045579100424493844102822947262923643049526, 355693655116800, 42045614861027888463153349845180502673366710, 8691540457466064418335919964160000000, 8231962349246269354301550282981550, 26584437379861605181381015209910288566, 35794025503398491816352271938192460800, 6266937600, 42045587758542842530726002918614353908824399, 42045605676647628370418553932584011234936366, 17909873094519140279123548569600000000, 17909873094519140279123549883501388800, 8231680416171662519680106496000000, 6227025840, 6227020801, 6227020806, 42045587766774533851278326277717655794417961, 8683326460573906087236887836099660800, 16976194304063540191336736524684806, 8231691320552322981364641522819241, 16976487545376657677616460412061784, 17918104785839718505212949874676828847, 35811001709043137044472309882418754150, 42045623561312859445381090766635635192307206, 26584437402445952856366380280877113601], 'label': '15944266600786427904000.a.930240._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035980
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13774094947709371685316195429598876594578785, 44477334291337279874603959836743849647, 42045623561312848541000481517893972008148336, 28271510745914428824213186928298882114289862, 5041, 7, 13774104140321627615973790048316076668061784, 26593199555093020514343697520723020801, 42045579100424493844102822947262923643049526, 8683326460573906087236887829872640001, 8691540457466064418335919964160000000, 8683326460573880235220150252570368001, 8231962349246269354301550282981550, 13774086264400628124125923164957764653113601, 28271519429223216763001296648667693298417961, 44469120294460606901531519803463849646, 13774122050194428522098350921242347446288566, 28271537313375614737972121947025688564824399, 13774086264400594635423388643706260416377727, 8231680416171662519680106496000000, 121, 17918104774935311941643228676096000000, 13774130733503205943693707501824780044684806, 362881, 28271492844255331181771783986383442577366710, 28271528630049165068472496097617724898936366, 355687428096001, 28271528621835168160777368380928251458999807, 35785793833886726666433015958976681647, 8231691320552322981364641522819241, 39916801, 35794025503398491816352271931965440001, 42045587775519025558680327563300051027020800, 42045623561312859445381090766635635192307206, 13774086256168936835890925443898547762754150], 'label': '15944266600786427904000.a.930240._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036036
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [13848842567289982403244660607317334337280127, 13763753091226345046341831720321889154873720, 51091297859137536000, 5046, 7, 8691540457466064418457922059973690959, 15537062060069870960640000, 13774086239201583842108836353246025510718782, 13763753099449194589389256046986090817291935, 10333147966386144955518668076408176640000, 8691549310116927715882010770649150641, 15537113920411401672328903, 8222838654203774834464447856640000, 13795343000732435355761182106140910918844721, 8691549310116927659668813947325935233, 10888895302435091045744640000, 8691549310132464721729239499354992136, 13763753099449194604874614073578191824645470, 121, 8231691320552322981718987227535128, 121645100408832001, 13816608453803733431097122485211753092188841, 8852650863190120306704384000000, 1313941305601, 362881, 355687428096001, 39916801, 13763761774543974762583186653157959723986224, 6227383687, 13763753091235186823846832556549603964653441, 8683317618811912347534933286256640000], 'label': '15944266600786427904000.a.1209312._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1209312.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1209312._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035981
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [13827541268715822146691696446871980321116656, 31616485711767946117243227388997170574928, 10341856492037525248587860108665108146769, 44477334280448384521077569617920000000, 5041, 63788177489465985609041762038872185779072, 13827541268715811047410377966225808055787849, 7, 13795387486811207511573500785380556800000001, 52882473806947817886507140916527892163615, 31616485711768348868166288255449016514134, 13827541268715821920794470219768355486831065, 13806311083408331614335437452635908855920990, 13774122050185575871260961605088583710264734, 63814778903028875194398141342666176681647, 13806275305828697345858206371606931697706102, 63814778903017970787834449976360960000000, 31634395584862480768731247130640384000001, 121, 13785045646782699942974678544873896134730574, 6227020801, 13837883125207702032700253359858360329292927, 42522214602160462372327432447516016640001, 121645100408832001, 13785045646782710847329484935431702791991264, 63814778903028875194398141342666176318766, 1307674368001, 74130033981334386577041449538179527756943, 355687428096001, 52846696227121712239376194994204157398273, 13785045646782710831844127933576524273575639, 31598609791039482937418462150000640000000, 39916801, 13795387486811241000355946906133803857474271, 10368958959241713788582854993439317800529, 13763797568560636480414013717140582073534776, 63778984895198096283599683497859645440001, 13795387486811230128158691856368079734528127], 'label': '15944266600786427904000.a.930240._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035982
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [13827541268715822146691696446871980321116656, 26584437379846093971600163499517398273, 31616485711767946117243227388997170574928, 13827541285692004964260055877439179015991264, 44477334280448384521077569617920000000, 5041, 63788177489465985609041762038872185779072, 13827541268715811047410377966225808055787849, 13827541285692004948774698875584000497575639, 7, 13795387486811207511573500785380556800000001, 31616485711768348868166288255449016514134, 31634378608679437303145468170490311756943, 13827541268715821920794470219768355486831065, 13806311083408331614335437452635908855920990, 16976193932360940966186140436163615, 63814778903028875194398141342666176681647, 13806275305828697345858206371606931697706102, 63814778903017970787834449976360960000000, 31634395584862480768731247130640384000001, 121, 42558017372335596927341328254918932146769, 42522214602160462372327432447516016640001, 6227020801, 121645100408832001, 63814778903028875194398141342666176318766, 1307674368001, 355687428096001, 13827541285691994059905249486881372358730574, 13795387469835047083426357378490671113292927, 31598609791039482937418462150000640000000, 39916801, 42531415958625391822771342170450517800529, 13795387486811241000355946906133803857474271, 13763797568560636480414013717140582073534776, 63778984895198096283599683497859645440001, 13795387486811230128158691856368079734528127, 13806284507184959549295150092265594910264734], 'label': '15944266600786427904000.a.930240._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035983
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [31616485711767946117243227388997170574928, 13785045663758893859824354783208364702831065, 10341856492037525248587860108665108146769, 13827541285692004964260055877439179015991264, 44477334280448384521077569617920000000, 5041, 63788177489465985609041762038872185779072, 13827541285692004948774698875584000497575639, 7, 52882473806947817886507140916527892163615, 31616485711768348868166288255449016514134, 13785045663758882986440262529665817271787849, 63814778903028875194398141342666176681647, 63814778903017970787834449976360960000000, 13837883108231519021472132332288283510528127, 13774094930742030434840867100260674295920990, 31634395584862480768731247130640384000001, 13837883108231496404886941261300760576000001, 121, 42522214602160462372327432447516016640001, 6227020801, 121645100408832001, 63814778903028875194398141342666176318766, 1307674368001, 74130033981334386577041449538179527756943, 13837883108231529893669387382054007633474271, 355687428096001, 52846696227121712239376194994204157398273, 13827541285691994059905249486881372358730574, 13816626363676838920439653532120231609534776, 13795387469835047083426357378490671113292927, 31598609791039482937418462150000640000000, 39916801, 13785045663758894085721581010311989537116656, 10368958959241713788582854993439317800529, 63778984895198096283599683497859645440001, 13774104157288856201759599548509956337706102, 13806284507184959549295150092265594910264734], 'label': '15944266600786427904000.a.930240._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035984
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [31616485711768348868166288255449016514134, 63788177489465985609041762038872185779072, 42531432934820132007527274324759414528126, 31616502687961862992824383746355737492439, 63814778903028875194398141342666176681647, 5041, 44477334280448384521077569617920000000, 121, 74130017005151374082171723050844160000001, 7, 355687428096001, 42531432934831004204782324090483537474265, 31598609791039482937418462150000640000000, 52873272450494003202740767332518177116776, 63814778903017970787834449976360960000000, 21274679635649033286054528956866569292926, 39916801, 42522214602160462372327432447516016640001, 52882473806947817886507140916527892163615, 52873255474310764810644692452237659012064, 21256786738725846699482503664487872318766, 63814753712838066160485641552797686347934, 42531415958625391822771342170450517800529, 10985713513057990061753534782, 1307674368001, 74103457757962321510903988607741490574928, 74130033981334386577041449538179527756943, 6227020801, 10351066062319333784931422079396599920984, 31616485711778835012595727930710686831071, 31616485711767961628503474388169482808649, 121645100408832001, 10368933769242726439260469259118833343222, 26584437379846093971600163499517398273, 52882465044750777709749290501406720000000, 63778984895198096283599683497859645440001, 31616502687950974123374995043727558730575, 10341856492037525248587860108665108146769], 'label': '15944266600786427904000.a.930240._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035985
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [52873272450494003202740767332518177116776, 26601413552000741760288936274679920984, 10333173174249589107408940835951047756937, 52864572156691952924149174257830151991264, 5041, 42549325840561657445629169179628025302273, 31607810616998677304023027461872286831071, 63788177489465985609041762038872185779072, 35794025695235687516635647158513343222, 42513531293394316860283290835078592681647, 31607810616987803919930773919331082808649, 52891165338563521957185774881948436163614, 21283337754223965932239338872469432514134, 74147918646565461539578283588321280000000, 74147918646565461539629374530492989440001, 31598592823720816784014757214658569292927, 10341839515685372987824689212030976000000, 10985713513057990061753534782, 21274679626795560354585031939994097575639, 21301247627318082321594254416674816000007, 42531432934831004204782324090483537474265, 21274679626784671485135643237365958730574, 121, 6227020801, 121645100408832001, 10377617077827954647474954512564224000001, 1307674368001, 355687428096001, 35794025503398491765261329760256000000, 74103449543965429326720872836722226574928, 42558000395994349073141848724590016318766, 42558000395983444666578157358284800000000, 39916801, 74139218352763637209917072741376030264734, 52864572156691952924100391542979804968529, 42531432934820132007527274324759414528126, 42531432934797515448188220076121456640001, 52864572156850172849825056542899844786769], 'label': '15944266600786427904000.a.930240._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035986
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [28281834667334801673956176708305121724585526, 355693655116800, 40279680, 10888895302435091045744640000, 5160, 13774094930751504590163079870998536933712425, 10333147966386144929666651337523200000001, 8222838654177922817725562880000001, 367920, 7, 122000787836928000, 1313901388800, 25852016738891203660800, 8691549299243595271310888652224681647, 8841761993739701954543616000001, 126, 13774086239192731191245646232918425600000000, 28271519412247022830640408177808860495196847, 51212587272118272000, 6266937600, 15537062060069870960640000], 'label': '15944266600786427904000.a.23256._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035987
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [6227020920, 25852016738891203660800, 42035245927258848478290501588505624818417961, 13774130716527011639630167310488043520000000, 28271519420469861484792427766208266240000000, 6227383680, 42035272511696206531108458560733442088148336, 10359732403766006560648836861347298936366, 355693655116800, 28281852568436258534102754879231726072307206, 13774130716527022544036730880207940653481647, 13763753108202528089807417377636938818289862, 42045579092201417651174492506790178546819241, 13774130725289208679806923621711185846288566, 13774086239192731191245646232919739501388800, 6266937600, 13763753108202528074322110442342696948824399, 13774130716527022544036731001854348736681647, 28271492836032526016296344719098965037113601, 6227025840, 6227020801, 6227020806, 26593199555093020514343697514496000000, 10359741165941237950180995035043923020800, 10377625300915036445255813338858363049526, 42045605668424801428499170094335794738754150, 16976194304063540191336736524684806, 13774112832392297173135610994969408538368000, 10333164942569172935797513255670417366710, 42045605668424778811860021744116159410578785, 13774112823630404665866545864555934332061784, 10359732403765991049704235942893122999807, 26584437368957250321845128776640377727, 51090942177936460800, 13774112832392568217340767411237383882981550], 'label': '15944266600786427904000.a.930240._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035988
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10368958959242085491232402049476364684806, 10368933769299332374577179373437779132726, 6227020920, 10351040872150286979025601977466351979007, 25852016738891203660800, 42035245927258848478290501588505624818417961, 13774130716527011639630167310488043520000000, 10351040872150302489970202895920527915566, 6227383680, 28281825983998901289162676169058685517122150, 13774130725289197790937421990773066901310662, 355693655116800, 28281852568436258534102754879231726072307206, 13774130716527022544036730880207940653481647, 13774086239192731191245646232919739501388800, 6266937600, 28271510728938245780721749132242851923020800, 13763761799751827302380268480217210951845199, 13763770984132109203850482328630691766288566, 10351066062319318247868592611655680000000, 13774130716527022544036731001854348736681647, 42045596993321156892157709341692783621599585, 6227025840, 6227020801, 28281870470095356161058850887007874802814201, 6227020806, 26593199555093020514343697514496000000, 13763761782775926207448744454076853962981550, 13774112832392297173135610994969408538368000, 28271501544557974783606395063005999144148336, 13774112823630404665866545864555934332061784, 28271501527581825244354502756973466586092801, 26584437368957250321845128776640377727, 51090942177936460800, 10341856491868400993955551485865621462710], 'label': '15944266600786427904000.a.930240._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035989
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10368933769299332374577179373437779132726, 6227020920, 25852016738891203660800, 13774130716527011639630167310488043520000000, 6227383680, 17892905753253179643211163362323398527, 10359732403766006560648836861347298936366, 355693655116800, 28281852568436258534102754879231726072307206, 13774130716527022544036730880207940653481647, 28281834675548200517220834206931885618754150, 13774086239192731191245646232919739501388800, 6266937600, 28271510728938245780721749132242851923020800, 13763753108202528074322110442342696948824399, 10351066062319318247868592611655680000000, 13774122050185575871235109588349678658289862, 13774130716527022544036731001854348736681647, 28271492836032526016296344719098965037113601, 6227025840, 6227020801, 28281870470095356161058850887007874802814201, 6227020806, 26593199555093020514343697514496000000, 13774104132098788961795867230590520015082584, 13763761782775926207448744454076853962981550, 13774112832392297173135610994969408538368000, 13763779675663724907921160962596118537309366, 28271501544557974783606395063005999144148336, 10333164942569172935797513255670417366710, 42045605668424778811860021744116159410578785, 10359732403765991049704235942893122999807, 10377634062864005193544804472858420601606, 51090942177936460800, 42035254618808147706348659626380138821438761], 'label': '15944266600786427904000.a.930240._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035990
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10368958959242085491232402049476364684806, 6227020920, 25852016738891203660800, 42035245927258848478290501588505624818417961, 13774130716527011639630167310488043520000000, 13763788902219494228190662818572579452061784, 17892905753253179694181973774993366710, 6227383680, 355693655116800, 13774104132098484444425340413735847924824399, 13774130716527022544036730880207940653481647, 13774086239192731191245646232919739501388800, 6266937600, 28271510728938245780721749132242851923020800, 35810992855553373821189959538242999807, 28281861794991734241356538484584492786819241, 42045614886218079287672518066166796792307206, 13763770984132109203850482328630691766288566, 13774122050185575871235109588349678658289862, 13774130716527022544036731001854348736681647, 6227025840, 28271492836032526016296344719098965037113601, 6227020801, 6227020806, 26593199555093020514343697514496000000, 10359741165941237950180995035043923020800, 10377625300915036445255813338858363049526, 42045605668424801428499170094335794738754150, 10368958959230809433772101820468160377727, 35810992855568884765790877992418936366, 13774112832392297173135610994969408538368000, 28271501544557974783606395063005999144148336, 42045605668424778811860021744116159410578785, 51090942177936460800, 13774112832392568217340767411237383882981550], 'label': '15944266600786427904000.a.930240._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035991
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [6227020920, 25852016738891203660800, 13774130716527011639630167310488043520000000, 6227383680, 10359732403766006560648836861347298936366, 355693655116800, 28271510754128436605292723948198854898417961, 13774130716527022544036730880207940653481647, 13763753108202528089807417377636938818289862, 28281834675548200517220834206931885618754150, 13774130725289208679806923621711185846288566, 13774086239192731191245646232919739501388800, 6266937600, 28271510728938245780721749132242851923020800, 42045614886218079287672518066166796792307206, 28281861794991734241356538484584492786819241, 28281861769801543416837370262441939890578785, 13763753108202528074322110442342696948824399, 13774130716527022544036731001854348736681647, 42035263845354804235930526241953999917113601, 6227025840, 6227020801, 6227020806, 26593199555093020514343697514496000000, 10359741165941237950180995035043923020800, 10377625300915036445255813338858363049526, 16976194304063540191336736524684806, 13774112832392297173135610994969408538368000, 28271501544557974783606395063005999144148336, 10333164942569172935797513255670417366710, 13774112823630404665866545864555934332061784, 10359732403765991049704235942893122999807, 26584437368957250321845128776640377727, 51090942177936460800, 13774112832392568217340767411237383882981550], 'label': '15944266600786427904000.a.930240._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035992
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10368958959242085491232402049476364684806, 10368933769299332374577179373437779132726, 6227020920, 10351040872150286979025601977466351979007, 25852016738891203660800, 13774130716527011639630167310488043520000000, 10351040872150302489970202895920527915566, 28271519420469861484792427766208266240000000, 28271492853008675555548237025131485141127536, 6227383680, 13774130725289197790937421990773066901310662, 355693655116800, 13774130716527022544036730880207940653481647, 28281834675548200517220834206931885618754150, 13774086239192731191245646232919739501388800, 6266937600, 28281861794991734241356538484584492786819241, 13763761799751827302380268480217210951845199, 13763770984132109203850482328630691766288566, 10351066062319318247868592611655680000000, 28281843876904642830032076245267613202675206, 13774130716527022544036731001854348736681647, 28271492836032526016296344719098965037113601, 6227025840, 6227020801, 6227020806, 26593199555093020514343697514496000000, 13763761782775926207448744454076853962981550, 13774112832392297173135610994969408538368000, 42045605668424778811860021744116159410578785, 13774112823630404665866545864555934332061784, 26584437368957250321845128776640377727, 51090942177936460800, 10341856491868400993955551485865621462710, 42035254618808147706348659626380138821438761], 'label': '15944266600786427904000.a.930240._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035993
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10368933769299332374577179373437779132726, 6227020920, 25852016738891203660800, 42035245927258848478290501588505624818417961, 13774130716527011639630167310488043520000000, 28271519420469861484792427766208266240000000, 28271492853008675555548237025131485141127536, 6227383680, 28281825983998901289162676169058685517122150, 17892905753253179643211163362323398527, 10359732403766006560648836861347298936366, 355693655116800, 13774130716527022544036730880207940653481647, 13774086239192731191245646232919739501388800, 6266937600, 28281861794991734241356538484584492786819241, 13763753108202528074322110442342696948824399, 28281843876904642830032076245267613202675206, 10351066062319318247868592611655680000000, 13774122050185575871235109588349678658289862, 13774130716527022544036731001854348736681647, 42045596993321156892157709341692783621599585, 6227025840, 6227020801, 6227020806, 26593199555093020514343697514496000000, 13774104132098788961795867230590520015082584, 13763761782775926207448744454076853962981550, 13774112832392297173135610994969408538368000, 13763779675663724907921160962596118537309366, 10333164942569172935797513255670417366710, 10359732403765991049704235942893122999807, 28271501527581825244354502756973466586092801, 10377634062864005193544804472858420601606, 51090942177936460800], 'label': '15944266600786427904000.a.930240._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035994
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10888895302435448047114046646, 10888869501630940746788023806, 13763779675663724892435805119969461412370151, 44477334280448384521077569617920000000, 5041, 7, 10888869450418352167034942766, 1307714284807, 17918095933173318254179000003718207857, 44477334280818872128012432979485878473, 13774104132098484459936499365769061558123824, 13774094947718213447284083236103948214300494, 13763770984132109203876283254802640166045135, 13774122050185575855723950757604657078277182, 13774130725289208679832776542297774841282871, 13763788877029009790629822025185099776000000, 13763761799751827317865576562300739166256425, 13763761782775677747619470467552815601904424, 10351040872421314405958859077457328238137, 13774112823630100357641189771274301396645041, 13774086239192731191245646232918425600000000, 6227020801, 26584437368972761531767171657103506910, 10377634062853051797462143193660349762577, 44477334291352791084768935923136681647, 10351040872172886811844505398785389655807, 13774112832392590769399222641727454479933111, 25852017094572405104046, 10341839515718893953625130939227505740927, 13763770984132109203876335883052284861329840, 44477334280448410373216310604634961840, 39916806, 10351066062330383999225984864751721034471, 8691549299228058158037874507776000001, 357001369406646, 25852017095880119020807], 'label': '15944266600786427904000.a.930240._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035995
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 13774122033209392843280733852738728654230343, 7, 8691549299228058158037874514003020800, 28271492861240366876100508799181511120916992, 13774094930742041323710316751834425108567264, 10359741157245951414264297181210788489742, 28271510728929404018728009430288302080000000, 13763761782775655178780701188820935136772185, 42045579100433098051834944983493651948172921, 44469120294445095640396890958341969064, 13763771009331119981761836345613531147704256, 10368941983047796964754270782611063088503, 51090942171709440001, 13774104157297506126557587876147101696000000, 44469120294493437946215360378200037430, 121, 10904406563691366305216681647, 6227020801, 25852016738884976640001, 121645100408832001, 10359741157099475956441293080494080000000, 42045596968122135210567286564955595724291337, 362881, 1307674368001, 13774130708313037347358979775474311583626465, 42045579100433087178476758126670253289961526, 355687428096001, 13763788885243006698351120597580033355541103, 28281834684292939909405434297375123808362664, 28281843876895801052930750065788043406040367, 13774112832383444522272420996663498258608289, 44469120283556200337961798598656000000, 39916801, 28281861794991723352512991295926756520568360, 28281826009206753021056080863454928276632440, 26593190746836481365040139175239004840, 42035254627552831106759757203047652297656609, 10351066071161095752869429196358359209825, 15537113273014144448681646, 13763761782775644274374188832398369764720984], 'label': '15944266600786427904000.a.930240._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036037
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [13848842567289982403244660607317334337280127, 13763753091226345046341831720321889154873720, 51091297859137536000, 5046, 7, 8691540457466064418457922059973690959, 15537062060069870960640000, 13774086239201583842108836353246025510718782, 13763753099449194589389256046986090817291935, 10333147966386144955518668076408176640000, 8691549310116927715882010770649150641, 15537113920411401672328903, 8222838654203774834464447856640000, 8691549310116927659668813947325935233, 10888895302435091045744640000, 8691549310132464721729239499354992136, 13763753099449194604874614073578191824645470, 121, 8231691320552322981718987227535128, 121645100408832001, 13816608453803733431097122485211753092188841, 8852650863190120306704384000000, 1313941305601, 362881, 31589909506090309445202524560008518844720, 355687428096001, 39916801, 13763761774543974762583186653157959723986224, 6227383687, 13763753091235186823846832556549603964653441, 8683317618811912347534933286256640000], 'label': '15944266600786427904000.a.1209312._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1209312.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1209312._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035996
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [6227020920, 25852016738891203660800, 8691549299228058158037874514003020800, 13774130716527011639630167310488043520000000, 28271519420469861484792427766208266240000000, 17892905753253179694181973774993366710, 6227383680, 355693655116800, 28271510754128436605292723948198854898417961, 13774104132098484444425340413735847924824399, 13774130716527022544036730880207940653481647, 42045579092201417651174492506790178546819241, 13774130725289208679806923621711185846288566, 13774086239192731191245646232919739501388800, 6266937600, 35810992855553373821189959538242999807, 42045614886218079287672518066166796792307206, 8691549547671189226122306225019049526, 13774122050185575871235109588349678658289862, 13774130716527022544036731001854348736681647, 6227025840, 28271492836032526016296344719098965037113601, 6227020801, 6227020806, 26593199555093020514343697514496000000, 42045605668424801428499170094335794738754150, 35810992855568884765790877992418936366, 16976194304063540191336736524684806, 13774112832392297173135610994969408538368000, 28271501544557974783606395063005999144148336, 42045605668424778811860021744116159410578785, 13774112823630404665866545864555934332061784, 26584437368957250321845128776640377727, 51090942177936460800, 13774112832392568217340767411237383882981550], 'label': '15944266600786427904000.a.930240._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035997
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [84857009924056205039610337309337731215062417, 8691796597181073667462647513351849311, 28281825984026024624063369801477465877847801, 56585499195135529813411820205581924425915871, 8691540457481575628379250956371020800, 56595850235989985703018901264210261018736056, 1307674368120, 121646408083200000, 70349260969670651909620448298490920960000000, 10936698087904228521630984665, 13774086239192731191245697323861904983808000, 13774086239192731206756907367191583293440000, 13774086239201572953239437025815140925440000, 1307674730880, 180722404135566733436530738559, 98631086953678383232981263129971062903960729, 356995102464000, 8691540457466064418335919964160000000, 13763770984123256537476084214129137270833343, 13763779675663973352294038067515265003135353, 13763761774809126186689895828323410540749664, 56585507886667156406351895214690301129986559, 1307714284800, 98620763023505275770639885028310384640000000, 28281852560222261641919693452949649378570942, 70359612010542791307703906657551725614156801, 13763753099476352236381470457899045299292721, 13763753099449194589363403908600797757440000, 10333156326220956656504230276532897111638, 13763753099449183700493902399306465280000000, 1307674373040, 70359594125859876708754906224385062398511070, 56595841026410783377838911007457559634163840, 1307674368001, 84857009924065238349510142100127384496010591, 1307674368006, 10333156189224799107589469063086080000000, 70359585434328271909038070692598159078920529, 25903107681056686080000, 84857009924064933832165627744623824240008918], 'label': '15944266600786427904000.a.23256._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035998
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10368958959242085491232402049476364684806, 6227020920, 25852016738891203660800, 8691549299228058158037874514003020800, 42035245927258848478290501588505624818417961, 13774130716527011639630167310488043520000000, 13763788902219494228190662818572579452061784, 28271519420469861484792427766208266240000000, 6227383680, 10359732403766006560648836861347298936366, 355693655116800, 13774130716527022544036730880207940653481647, 13763753108202528089807417377636938818289862, 28281834675548200517220834206931885618754150, 42045579092201417651174492506790178546819241, 13774086239192731191245646232919739501388800, 6266937600, 42045614886218079287672518066166796792307206, 28281861769801543416837370262441939890578785, 13763753108202528074322110442342696948824399, 13763770984132109203850482328630691766288566, 8691549547671189226122306225019049526, 13774130716527022544036731001854348736681647, 42035263845354804235930526241953999917113601, 6227025840, 6227020801, 6227020806, 26593199555093020514343697514496000000, 10368958959230809433772101820468160377727, 13774112832392297173135610994969408538368000, 28271501544557974783606395063005999144148336, 10333164942569172935797513255670417366710, 10359732403765991049704235942893122999807, 51090942177936460800, 13774112832392568217340767411237383882981550], 'label': '15944266600786427904000.a.930240._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12035999
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [6227020920, 25852016738891203660800, 8691549299228058158037874514003020800, 42035245927258848478290501588505624818417961, 13774130716527011639630167310488043520000000, 17892905753253179694181973774993366710, 6227383680, 42035272511696206531108458560733442088148336, 355693655116800, 28281852568436258534102754879231726072307206, 13774104132098484444425340413735847924824399, 13774130716527022544036730880207940653481647, 28281834675548200517220834206931885618754150, 13774130725289208679806923621711185846288566, 13774086239192731191245646232919739501388800, 6266937600, 35810992855553373821189959538242999807, 28281861794991734241356538484584492786819241, 28281861769801543416837370262441939890578785, 8691549547671189226122306225019049526, 13774122050185575871235109588349678658289862, 13774130716527022544036731001854348736681647, 42035263845354804235930526241953999917113601, 6227025840, 6227020801, 6227020806, 26593199555093020514343697514496000000, 35810992855568884765790877992418936366, 16976194304063540191336736524684806, 13774112832392297173135610994969408538368000, 28281834692524360928536010501399248896000000, 13774112823630404665866545864555934332061784, 26584437368957250321845128776640377727, 51090942177936460800, 13774112832392568217340767411237383882981550], 'label': '15944266600786427904000.a.930240._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036000
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10368958959242085491232402049476364684806, 6227020920, 25852016738891203660800, 8691549299228058158037874514003020800, 13774130716527011639630167310488043520000000, 13763788902219494228190662818572579452061784, 6227383680, 42035272511696206531108458560733442088148336, 10359732403766006560648836861347298936366, 355693655116800, 28271510754128436605292723948198854898417961, 28281852568436258534102754879231726072307206, 13774130716527022544036730880207940653481647, 13763753108202528089807417377636938818289862, 13774086239192731191245646232919739501388800, 6266937600, 28281861794991734241356538484584492786819241, 13763753108202528074322110442342696948824399, 13763770984132109203850482328630691766288566, 8691549547671189226122306225019049526, 13774130716527022544036731001854348736681647, 28271492836032526016296344719098965037113601, 6227025840, 6227020801, 6227020806, 26593199555093020514343697514496000000, 42045605668424801428499170094335794738754150, 10368958959230809433772101820468160377727, 13774112832392297173135610994969408538368000, 10333164942569172935797513255670417366710, 28281834692524360928536010501399248896000000, 42045605668424778811860021744116159410578785, 10359732403765991049704235942893122999807, 51090942177936460800, 13774112832392568217340767411237383882981550], 'label': '15944266600786427904000.a.930240._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036001
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [6227020920, 25852016738891203660800, 28281825983998889561393192588661577282999807, 8691549299228058158037874514003020800, 42035245927258848478290501588505624818417961, 13774130716527011639630167310488043520000000, 28281825983998889576904137189580031458936366, 6227383680, 355693655116800, 28271492836032492527593810197847460800377727, 13774130716527022544036730880207940653481647, 28281834675548200517220834206931885618754150, 13774086239192731191245646232919739501388800, 6266937600, 42035272520458392666930355092779943924824399, 28281861769801554692894779593018189580684806, 10351066062319318247868592611655680000000, 42035254618808147706322807353189304246288566, 13774130716527022544036731001854348736681647, 10368933769061793624169556626255602819241, 28271492836032526016296344719098965037113601, 6227025840, 6227020801, 6227020806, 28281852577198433765544042163692917393366710, 42045579075225528236210034217274618492061784, 26593199555093020514343697514496000000, 10377625300915036445255813338858363049526, 13763761782775926207448744454076853962981550, 42045614861027888478638656779318391874289862, 13774112832392297173135610994969408538368000, 42045605668424778811860021744116159410578785, 51090942177936460800, 10333147966397049310327113023459832307206, 17918095933173318253154218405928148336], 'label': '15944266600786427904000.a.930240._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036002
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10368958959242085491232402049476364684806, 6227020920, 25852016738891203660800, 13774130716527011639630167310488043520000000, 13763788902219494228190662818572579452061784, 28271519420469861484792427766208266240000000, 17892905753253179694181973774993366710, 6227383680, 42035272511696206531108458560733442088148336, 355693655116800, 28271510754128436605292723948198854898417961, 28281852568436258534102754879231726072307206, 13774104132098484444425340413735847924824399, 13774130716527022544036730880207940653481647, 28281834675548200517220834206931885618754150, 42045579092201417651174492506790178546819241, 13774086239192731191245646232919739501388800, 6266937600, 35810992855553373821189959538242999807, 28281861769801543416837370262441939890578785, 13763770984132109203850482328630691766288566, 13774122050185575871235109588349678658289862, 13774130716527022544036731001854348736681647, 42035263845354804235930526241953999917113601, 6227025840, 6227020801, 6227020806, 26593199555093020514343697514496000000, 10359741165941237950180995035043923020800, 10377625300915036445255813338858363049526, 10368958959230809433772101820468160377727, 35810992855568884765790877992418936366, 13774112832392297173135610994969408538368000, 51090942177936460800, 13774112832392568217340767411237383882981550], 'label': '15944266600786427904000.a.930240._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036038
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [51091297859137536000, 8841777505000836227714849696767, 5046, 7, 8691540457466064418457922059973690959, 13763753091226345061853093501992304072329023, 15537062060069870960640000, 13763761774543974762609038791896318636170471, 52855362577388384806995041657847162300721, 10333147966386144955518668076408176640000, 8691549310116927715882010770649150641, 8222838654203774834464447856640000, 8222849558584486387445460013119071, 8691549310116927659668813947325935233, 10888895302435091045744640000, 8691549310132464721729239499354992136, 121, 8231691320552322981718987227535128, 121645100408832001, 8852650863190120306704384000000, 1313941305601, 362881, 355687428096001, 13848842575512821057422583303752182829113606, 13763753091226345046315979581580902400000001, 31589909506090309471105631884063915356841, 39916801, 6227383687, 8222849543047424327375589052490575, 10333147975238795818708910404795884727823, 8683317618811912347534933286256640000], 'label': '15944266600786427904000.a.1209312._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1209312.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1209312._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036003
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 7, 21292564300857523978421216339702659241647, 13816608453803733431122974501949336970664246, 10377625309508355307927552506785144832001, 74147926878256767146221983529915987464361, 63788177489476889989700681874132416681647, 13806302400081881913787589943016490573291935, 13774130716535864306030470581806796801486847, 42549308855525978602159821438320640000000, 13837865232310778846113630248899156179120974, 10341839515685372987824689212030976000000, 13837883108231519021472132332288283510528127, 31598618022719899109080981830107136000000, 13827523392795093473100005019917361086342521, 52891148371211351590035601592523325440001, 10359749388790796534667509402252049730271, 13785009869733379572463139103526449558736561, 13827541268715811031899116572088729600000001, 121, 35785793823224240117991030601711051446, 25852016738884976640001, 6227020801, 13774130716535853611200853557754305062909768, 35785793822982320102741649653760000000, 21274654427762989326932049104459606866543, 362881, 1307674368001, 13795351709249064945425060685418698085251240, 13837883108231529893669387382054007633474271, 42549308855525994113369864769306624000001, 52873272450482921239008544232672259394129, 39916801, 21274654427773878170530451086070991759054, 13763753091226458097464303653031333075991680, 63806087362560504885430736737496904120367, 42513523061703011793267123120974299958808], 'label': '15944266600786427904000.a.930240._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036004
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 7, 21283337754234452050765671235015887759054, 13795343025922604371570728572589535638736561, 42513531293383427964929642801080795958808, 63788177489476889989700681874132416681647, 52882456830753901036776218061373440000001, 13816608445572053014951311982269230474664246, 10341839515685372987824689212030976000000, 13837883108231519021472132332288283510528127, 74147918646565461701592906269421384120367, 31625720490082323086010685402788739241647, 13827541268715811031899116572088729600000001, 121, 6227020801, 25852016738884976640001, 63806095594251810330059813997991507464361, 362881, 1307674368001, 13837856540770321380023411373209427902342521, 10377617077827939136265032826678648832001, 13837883108231529893669387382054007633474271, 21283337754223563207167269253404502866543, 35794025503398491765261329760256000000, 31589934696259325228845761681162240000000, 52873272450482921239008544232672259394129, 13785018553059840146317471216355612005251240, 42558000395983444666578157358284800000000, 13816635548057109820710996296308557389291935, 13774130708304173195029191038074198566909768, 39916801, 13774130708304183889858808062126690305486847, 13827532084335550939190223895607089363120974, 13763753091226458097464303653031333075991680, 10351057848333330470249173482287889730271, 35794025503640411780510710708207051446, 42558000395983444666629248300456509440001], 'label': '15944266600786427904000.a.930240._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036005
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [13827541285692004964260055877439179015991264, 10351057848333330470249168206941632681647, 63770301568737522403314519544655410574928, 42557992181986552482395041587265536000000, 5046, 1313901388800, 355687428096120, 122000787836928000, 31607802402991298975410472015591352514134, 13827541285692163184185731759724248708786769, 10351057848322441600748306308377335920984, 31598609791050371832772109829626526831071, 42540116261258089302571423486181376000007, 10341839515685372987824689212030976000000, 33488782446120753247057474265, 13837865207102915386424729263858848249302273, 13827523384050590861291440934406406932163614, 31607802402990911735747658148311818808649, 10341839515696358701337747202092729534782, 10351057848322441574946611113794109440000, 13785045646782699942974678544873896134730574, 13774130733512036445141196825237528606264734, 74130008773470942425203931570796665779072, 11114792579874783250721116776, 362886, 1307674368006, 13806293190511420107664175269437919687756937, 13827541285692004964260007094724328668968529, 355687428096006, 13785045646782710831844127933576524273575639, 13795387469835047083426357378490671113292927, 74139235337980248842573841665861873343222, 74112141084422895416990078357658992640001, 22616585191070987522934528126, 39916806, 26601413551985204697459468533760000000, 52846679250927795389697639793924669440001, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.930240._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036006
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [13827541293914843618437978695164748123012064, 63770301568737522403314519544655410574928, 21265461833505988896845160446646942831071, 21274662659454309879306121765572032681647, 13806284507193801295777679751243518407756943, 5046, 31616485711768348868166288255449016514134, 1313901388800, 42540124475254981486805630199372349440001, 355687428096120, 63796860815926559489276982187817081779072, 13785054321868660938496690727153147913292926, 10359741157099491493504122548234999920984, 63806095594432758090830008053901553343222, 122000787836928000, 13827541293914843618437930034094991957800529, 52864580910025422345742556629303296000007, 21265461833495100001491512767021056000000, 10341839515685372987824689212030976000000, 13774130725289197790963274007511965686347934, 33488782446120753247057474265, 13827532059136529241495062612877012477398273, 10341839515696358701337747202092729534782, 63806095594240920920930650475388272640001, 13827541293915001838337802560710926612146769, 17918104774935311941643228676096000000, 13795378794749086087904345196211419334730575, 11114792579874783250721116776, 362886, 1307674368006, 355687428096006, 31616485711767961628503474388169482808649, 52846671036930918716724567353891389440000, 22616585191070987522934528126, 39916806, 52882456830753885525566174730387456000000, 13795378794749096976773794584914047513492439, 13837856532016977006221107585743930132163615], 'label': '15944266600786427904000.a.930240._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036007
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [51090942171709802880, 13774094930742030434815065405066150985726489, 10904406513881297930277771007, 5041, 13774094930742256343179418125622974814189088, 6227020920, 10985739365194106056827085734, 13774094930742041405017315536466976200534457, 13774094930742030725264779344984423741675168, 11244305723404757725990200833, 7, 25207896917369015919412583175936006, 13774094930742041323684464732833075445393054, 10904406563691364997542313646, 10888869450418352160768374999, 22599912995580755979653616311, 13774094930742041678635011149466002417727343, 13774094930742030435408645094229000896490454, 13774094930742030419329707500476085613292801, 10888869501631295126581673646, 13774094930742053035888944251192670621753726, 121, 10904406563691366305216681647, 121645100408832001, 13774094930742041323684515823418318985590088, 10921510539118171620754168608, 367920, 13827567870129363017129717261239114110028807, 13774094930742030419329707500120398145648497, 248475368640638990454913976088, 15537062181714977948095134, 355687428096001, 121646408124741256, 42557992181997456863055503627407390464126, 39916801, 10888895353526040118126486327, 13774094930742030612937767000551924381904127, 51091297859613731776, 25903107681056686080000, 21274654427773893681740372759302174464126], 'label': '15944266600786427904000.a.930240._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '930240.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '930240._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036008
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [84857009924056205039610337309337731215062417, 8691796597181073667462647513351849311, 56585499195135529813411820205581924425915871, 8691540457481575628379250956371020800, 1307674368120, 121646408083200000, 70349260969670651909620448298490920960000000, 10936698087904228521630984665, 13774086239192731191245697323861904983808000, 13774086239192731206756907367191583293440000, 13774086239201572953239437025815140925440000, 1307674730880, 180722404135566733436530738559, 56585517088023599558089234612871430144368056, 356995102464000, 8691540457466064418335919964160000000, 13763761774809126186689895828323410540749664, 56585507886667156406351895214690301129986559, 1307714284800, 98620763023505275770639885028310384640000000, 28281852560222261641919693452949649378570942, 13763753099476352236381470457899045299292721, 70349278862576405162774239884569102005324801, 13763753099449194589363403908600797757440000, 10333156326220956656504230276532897111638, 13763753099449183700493902399306465280000000, 1307674373040, 70359594125859876708754906224385062398511070, 56595841026410783377838911007457559634163840, 1307674368001, 28281825992248863278241292619204336432215801, 84857009924065238349510142100127384496010591, 1307674368006, 10333156189224799107589469063086080000000, 70359585434328271909038070692598159078920529, 25903107681056686080000, 13763770992346354540407542549320857496114553, 84857009924064933832165627744623824240008918, 13763779667440875349362579732323538550833342, 84867333862452038186665283548390160503960735], 'label': '15944266600786427904000.a.23256._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036009
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '976752.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': 976752, 'diagramx': None, 'generators': [74130050948686541433031009601711149118761, 13763753091226355935185588517415354357251630, 25852016738885016561846, 5046, 7, 8841777505000957874169396029095, 10333147966386144929717746415466225323944, 13827532059136529273784231257266380384363006, 10333156198077465507841771094458391038657, 187815683286165365210742, 40284847, 6227388840, 13763761774552805620196215572630060622521304, 8683317629700755945936546562048000000, 10341839515685372987824689212030976000000, 13763761782766813401249899548802887461763062, 10333147966397049336230223735477523292302, 51090942171709440001, 13763753099449183716030964459732023669099310, 121646414310220927, 13763753099449183700519754537691764607612793, 10904406563691366305216681647, 126, 13763753099449194604874563888738007436092736, 10333147966397033799168282278263800585311, 8852650863190120306704384000000, 13763753099458036366868353775888422868752583, 362881, 15511210043330985984000001, 1313941310761, 13774094922510350018669203811182698104735574, 13763753091226345046315979581580902400000001, 8222849543047373236077723648000000, 355693655121841, 31634420802177463629436666304608628741160, 13774086239192742112458268684370420399292846], 'label': '15944266600786427904000.a.976752.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '976752.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '976752.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036010
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1058148.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': 1058148, 'diagramx': None, 'generators': [8841761993739701954543616000001, 10333147966386144929666651337523200000001, 122000787836928000, 26601440709632196963204969548156928127, 8691549299243595271310888652224681647, 42045587758542842546291221332120931630397224, 6266937600, 7, 28271510728938256685128261611020571080119681, 5160, 1313901388800, 13774086239192731191245646232918425600000000, 126, 15537062060069870960640000, 367920, 42045587758542842546265261889196300700657846, 51212587272118272000, 25903107681056686080000, 356995102464000, 10904380660461683146752000000, 40279680, 8222838654177922817725562880000001], 'label': '15944266600786427904000.a.1058148.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1058148.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1058148.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036013
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [42056511372107307883911461699133112320000000, 15537113272657149305932927, 21265461851788416189404388085092382464022, 7, 70306738771523021438810384990142015559171631, 13763761774543963858202475099775303680000000, 13774094939495374793132012435118578025560393, 122000787877207680, 10341831284004956816162169531924480000000, 40284847, 13785018553069291685594064746921886131731201, 56542994355400908056568564887460604058570881, 355687428464040, 13785018536083668022743807032633484623208246, 28292758323083313499273753392663380217350406, 56564251125136294034852624129014412182920367, 6266937726, 5160, 126, 8852650863190120306704384000000, 10341848269040635659631389599497749948720, 70338328714990907517357314856554991021578470, 21256795501510854778186876971909120000000, 56553327520352319006983409293302724216246704, 368046, 8222849543047373236077723648000000, 56574575581580526887778667789838172272285518, 10333147975227906949260674886813295984577, 42184046472132118025127591936000000, 13795343034675948745347181491607637967563830, 25903107682364400732727, 10333164960873362481950761725881288453161, 51212944267220741160, 15537113273014144448681646, 21265444848481246671501409901640033372726], 'label': '15944266600786427904000.a.1085280._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036014
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [70359647813312808207007601539066818692997424, 5041, 155152842983674344653714708439464607744000001, 7, 56617089104651071646028561463885056382109502, 141357500008158625392968713895724711936000000, 13859131212183708047144032282470128653584000, 84867378866047981613567416591556502280929223, 141357482090053850457656772252496035840000000, 8691540457466064418335919964160000000, 95395996878102337340264555270504448000000, 13859149096327286037834167076222070136832001, 13763761782775644322228519817530016698736040, 51090942171709440001, 84857054401399214296035453451859127194267934, 84857018649557757354164596293971019212250256, 126923881546606001173827281894308747291390096, 8231680416171662519680106496000000, 121, 6227020801, 13774086239192731191245646232918425600000000, 362881, 1307674368001, 13774086247424411607443319165175921754448304, 355687428096001, 84867325179152712690966701026430810638137911, 10333147966397033799117069689683968000000, 141367859707140531047682080708489321856635376, 8222849543047373236077723648000000, 70370517731219807597307681302465356101926400, 39916801, 126902579831877238708693859810280603648000001, 141389116493870393354623069248988627634918398, 10333147966397033824969086428568944640001], 'label': '15944266600786427904000.a.1085280._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036015
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [5041, 155152842983674344653714708439464607744000001, 84888581974608795182423645646223426226918398, 7, 141357500008158625392968713895724711936000000, 13859131212183708047144032282470128653584000, 141357482090053850457656772252496035840000000, 8691540457466064418335919964160000000, 95395996878102337340264555270504448000000, 95396005100930118185850227670685723390102, 13859149096327286037834167076222070136832001, 28366897533204385816039410071033409668997430, 13763761782775644322228519817530016698736040, 141378747551887345573169473930240457230137905, 51090942171709440001, 28281826000975072589347354095974752581926401, 141378756744490466097821044333407199969012423, 56617089104642229884034821761930512766109382, 8231680416171662519680106496000000, 121, 6227020801, 13774086239192731191245646232918425600000000, 362881, 1307674368001, 13774086247424411607443319165175921754448304, 126902579823654400054515936992555040768000000, 355687428096001, 141389116493861562465961666814018520524255296, 10333147966397033799117069689683968000000, 141367859707140531047682080708489321856635376, 141389098575774471070148414496384871362184734, 8222849543047373236077723648000000, 39916801, 10333147966397033824969086428568944640001], 'label': '15944266600786427904000.a.1085280._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036016
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [13763761782766813416761058379541008716835608, 5041, 8852666400303271675748386352208, 13774086247424411607443160890983825544496289, 8683326460573880235220148944896000000, 7, 15511261256292045522741113, 155121243872820663858906620588349063168000000, 155142509835707969397654492206479245312000001, 10341839506854515400648678266811108074160, 13763753099449183716005164680360606953042231, 8691540457466064418335919964160000000, 141389089892448010480756969233260567556096001, 10341831284004972353275320545275260722329, 13774086239192731191245646234428977263667320, 141389098583988467946847239585563729264640001, 13763761782775644322228519817530016698736040, 155131577020787039114966836821335733274368001, 51090942171709440001, 13763753099449183716005164302620491254048006, 13774086247415580734318922577032893362539184, 85071540452162769605565821500784640000000, 121, 6227020801, 13774086239192731206756907488836697114356526, 15511261134273217918618296, 362881, 13774086247424411607443319165175921754448304, 56606755998832744307471958086184613847097720, 13763753091226355935185429999933063168000000, 10333147966397033799117069689683968000000, 8222849543047373236077723648000000, 39916801, 70380850913120255608677502224852107563375942, 26601413551985204697459468533760000000, 8683326460573906140126895658663768095, 10341831284004956842014186627878283441216, 15673224800464744426889016, 13848824631678518704790995943078948216832001], 'label': '15944266600786427904000.a.1085280._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036017
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [13763761782766813416761058379541008716835608, 5041, 8852666400303271675748386352208, 13774086247424411607443160890983825544496289, 8683326460573880235220148944896000000, 7, 15511261256292045522741113, 155121243872820663858906620588349063168000000, 155142509835707969397654492206479245312000001, 10341839506854515400648678266811108074160, 13763753099449183716005164680360606953042231, 8691540457466064418335919964160000000, 141389089892448010480756969233260567556096001, 10341831284004972353275320545275260722329, 13774086239192731191245646234428977263667320, 141389098583988467946847239585563729264640001, 13763761782775644322228519817530016698736040, 155131577020787039114966836821335733274368001, 51090942171709440001, 13763753099449183716005164302620491254048006, 13774086247415580734318922577032893362539184, 85071540452162769605565821500784640000000, 56606755990609905653294035268459050967097721, 121, 6227020801, 13774086239192731206756907488836697114356526, 15511261134273217918618296, 362881, 13774086247424411607443319165175921754448304, 70380850921343094262855425042577670443375936, 13763753091226355935185429999933063168000000, 10333147966397033799117069689683968000000, 8222849543047373236077723648000000, 39916801, 26601413551985204697459468533760000000, 8683326460573906140126895658663768095, 10341831284004956842014186627878283441216, 15673224800464744426889016, 13848824631678518704790995943078948216832001], 'label': '15944266600786427904000.a.1085280._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036018
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42056511372107307883911461699133112320000000, 10333156198066576612592732146122788764942, 13785018553069302590000526256401232500963246, 15537113272657149305932927, 21265461851788416189404388085092382464022, 7, 70338328714990918421712072331845180127286825, 13763761774543963858202475099775303680000000, 70306738763300182800169575201429021453271264, 28292758323083302625941416247322736015420841, 122000787877207680, 10341831284004956816162169531924480000000, 40284847, 13785018544306506661384616578058905713496441, 355687428464040, 21256795501521759184750568338214336681647, 56564251125136294034852624129014412182920367, 6266937726, 5160, 126, 8852650863190120306704384000000, 10341848269040635659631389599497749948720, 10333164960862489097807401023136248228486, 13795343034684790522877932041399166446965465, 56553327520352319006983409293302724216246704, 56542994363623746726283600977486308647723566, 368046, 8222849543047373236077723648000000, 56574575581580526887778667789838172272285518, 42184046472132118025127591936000000, 25903107682364400732727, 13774094939486533046623579547523249239122438, 51212944267220741160, 15537113273014144448681646, 21265444848481246671501409901640033372726], 'label': '15944266600786427904000.a.1085280._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036019
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [84814505092534846539928344006780317049194880, 5041, 13763753091235197712690430836517773031882287, 10341839515685373013727797259967399652439, 13774086247424445096173902856612887909891630, 7, 13774094922519202669532393931490710335633286, 8683326471462991453734103703293615303, 13774094930733199546798947326928851094525654, 8231680416171662641325206904832127, 13774086239192731191245697582572269272441473, 10341831284015861196873722157242943087503, 126881358839164016291534466006291800527948926, 8683326460573880286311091116605445166, 10904406563691364997542313646, 39916920, 8231691353435071698681604244695384, 13763761774543974762609038791141602669293497, 13763753091235186808309719283535446016000000, 51090942171709440001, 8231691643805031014376993507695416, 10333147975227906923406353292066816000000, 28271492836032515111889832361966340022640046, 10888869501631295126581673646, 121, 10904406563691366305216681647, 13774094930733199546179515108837018614600320, 8231691305041164030856155302010551, 25852016738884976640001, 121645100408832001, 10341831284015845711464726625072003276799, 362886, 13774086239192731206756907367191589520847145, 355687428096001, 6227020927, 8683326460573880286311110664531268616, 13763753091235209424894910354878662606012727, 13774086247424411607874884479880205064663344], 'label': '15944266600786427904000.a.23256._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036020
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42056511372107307883911461699133112320000000, 21265461851788416189404388085092382464022, 7, 13763761774543963858202475099775303680000000, 70306738763300182800169575201429021453271264, 122000787877207680, 10341831284004956816162169531924480000000, 40284847, 8222838654177922817725562880000001, 13785018553069291685594064746921886131731201, 13785018544306506661384616578058905713496441, 13795351701044519591949743806643001705560393, 355687428464040, 42066835844987766537506955935304129247286825, 56564251125145146670204553115049279737350406, 56564251125136294034852624129014412182920367, 28303082787704945785157692035565495205489153, 6266937726, 5160, 31598609809343688020634150299166388972927, 126, 8852650863190120306704384000000, 13795343034684790522877932041399166446965465, 56553327520352319006983409293302724216246704, 8222838654177922818082558022748720, 368046, 8222849543047373236077723648000000, 8222838669715036090739707328681647, 10333147975227906949260674886813295984577, 42184046472132118025127591936000000, 25903107682364400732727, 10333164960873362481950761725881288453161, 28271501561525326953999395591840228647723566, 51212944267220741160, 21265444848481246671501409901640033372726], 'label': '15944266600786427904000.a.1085280._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036021
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42056511372107307883911461699133112320000000, 10333156198066576612592732146122788764942, 15537113272657149305932927, 7, 21265453071319885364117413976759964748921, 13763761774543963858202475099775303680000000, 70306738763300182800169575201429021453271264, 28292758323083302625941416247322736015420841, 122000787877207680, 10341831284004956816162169531924480000000, 40284847, 13785018553069291685594064746921886131731201, 355687428464040, 13785018536083668022743807032633484623208246, 56574575589803365557441897421211575205489153, 6266937726, 5160, 21265461851799289573547992075435426217657, 126, 8852650863190120306704384000000, 10341848269040635659631389599497749948720, 10333164960862489097807401023136248228486, 70338328714990907517357314856554991021578470, 21256795501510854778186876971909120000000, 56553327520352319006983409293302724216246704, 56564251116913455365189292315756665909944320, 56542994363623746726283600977486308647723566, 368046, 8222849543047373236077723648000000, 42184046472132118025127591936000000, 13795343034675948745347181491607637967563830, 25903107682364400732727, 13774094939486533046623579547523249239122438, 51212944267220741160, 15537113273014144448681646], 'label': '15944266600786427904000.a.1085280._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036022
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42056511372107307883911461699133112320000000, 15537113272657149305932927, 21265461851788416189404388085092382464022, 7, 70338328714990918421712072331845180127286825, 70306738771523021438810384990142015559171631, 13763761774543963858202475099775303680000000, 122000787877207680, 28292758323083302625941416247322736015420841, 10341831284004956816162169531924480000000, 40284847, 13785018553069291685594064746921886131731201, 355687428464040, 21256795501521759184750568338214336681647, 13785018536083668022743807032633484623208246, 56564251125136294034852624129014412182920367, 56574575589803365557441897421211575205489153, 6266937726, 5160, 126, 8852650863190120306704384000000, 56553327520352319006983409293302724216246704, 56542994363623746726283600977486308647723566, 368046, 8222849543047373236077723648000000, 10333147975227906949260674886813295984577, 42184046472132118025127591936000000, 13795343034675948745347181491607637967563830, 25903107682364400732727, 10333164960873362481950761725881288453161, 10341848260198889202902778774742708972927, 13774094939486533046623579547523249239122438, 51212944267220741160, 15537113273014144448681646, 21265444848481246671501409901640033372726], 'label': '15944266600786427904000.a.1085280._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036023
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763761782766813416761058379541008716835608, 5041, 13774086247424411607443160890983825544496289, 8683326460573880235220148944896000000, 7, 28366879631554140839812589580184804356096001, 98642001892157520014941593471763757015097720, 155121243872820663858906620588349063168000000, 10904380711552625378686618176, 10341839506843626531198259914650340074161, 13763753099449183716005164680360606953042231, 8691540457466064418335919964160000000, 13774086239192731191245646234428977263667320, 84888590632215179877693101264995008811375936, 13763761782775644322228519817530016698736040, 51090942171709440001, 155131577020787039114966836821335733274368001, 13763753099449183716005164302620491254048006, 8841777530852853323587618352209, 121, 6227020801, 13774086239192731206756907488836697114356526, 362881, 13774086247424411607443319165175921754448304, 10341831284015861222725738897436068639129, 13763753091226355935185429999933063168000000, 10904380711674644206330657913, 10333147966397033799117069689683968000000, 28366870940013683373774023260648037744640001, 8222849543047373236077723648000000, 39916801, 13774086247415569845449472158680732594539190, 13763753091226355935185430121578163576832001, 8683326460573906140126895658663768095, 26601413551985204697459468533760000000, 10341831284004956842014186627878283441216, 15673224800464744426889016, 42120299574814099756710112553403482112000001, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1085280._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036024
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13859157771422055306699192344730391474539190, 13763761782766813416761058379541008716835608, 85071540452173658475016239852945408000001, 5041, 13774086247424411607443160890983825544496289, 8683326460573880235220148944896000000, 7, 28366879631554140839812589580184804356096001, 98642001892157520014941593471763757015097720, 155121243872820663858906620588349063168000000, 85071540461004547136418674824372258352209, 13763753099449183716005164680360606953042231, 8691540457466064418335919964160000000, 13774086239192731191245646234428977263667320, 95396005100941007055300524009418148639129, 13763761782775644322228519817530016698736040, 95395996878091464007927409575506660074161, 51090942171709440001, 155131577020787039114966836821335733274368001, 13763753099449183716005164302620491254048006, 121, 6227020801, 13774086239192731206756907488836697114356526, 362881, 13774086247424411607443319165175921754448304, 70380850921343094262855425042577670443375936, 13763753091226355935185429999933063168000000, 10333147966397033799117069689683968000000, 28366870940013683373774023260648037744640001, 8222849543047373236077723648000000, 39916801, 13763753091226355935185430121578163576832001, 8683326460573906140126895658663768095, 85071540452173673986277496144990970657913, 26601413551985204697459468533760000000, 10341831284004956842014186627878283441216, 85071540452173673986277374126163326618176, 15673224800464744426889016, 42120299574814099756710112553403482112000001], 'label': '15944266600786427904000.a.1085280._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036025
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42056511372107307883911461699133112320000000, 10333156198066576612592732146122788764942, 15537113272657149305932927, 7, 70338328714990918421712072331845180127286825, 21265453071319885364117413976759964748921, 13763761774543963858202475099775303680000000, 13774094939495374793132012435118578025560393, 70306738763300182800169575201429021453271264, 122000787877207680, 10341831284004956816162169531924480000000, 40284847, 13785018553069291685594064746921886131731201, 56542994355400908056568564887460604058570881, 355687428464040, 21256795501521759184750568338214336681647, 13785018536083668022743807032633484623208246, 28292758323083313499273753392663380217350406, 6266937726, 5160, 21265461851799289573547992075435426217657, 126, 8852650863190120306704384000000, 10333164960862489097807401023136248228486, 56553327520352319006983409293302724216246704, 56564251116913455365189292315756665909944320, 368046, 8222849543047373236077723648000000, 56574575581580526887778667789838172272285518, 42184046472132118025127591936000000, 13795343034675948745347181491607637967563830, 25903107682364400732727, 10341848260198889202902778774742708972927, 51212944267220741160, 15537113273014144448681646], 'label': '15944266600786427904000.a.1085280._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036026
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42056511372107307883911461699133112320000000, 10333156198066576612592732146122788764942, 13785018553069302590000526256401232500963246, 15537113272657149305932927, 21265461851788416189404388085092382464022, 7, 13763761774543963858202475099775303680000000, 13774094939495374793132012435118578025560393, 70306738763300182800169575201429021453271264, 122000787877207680, 10341831284004956816162169531924480000000, 40284847, 13785018544306506661384616578058905713496441, 56542994355400908056568564887460604058570881, 355687428464040, 28292758323083313499273753392663380217350406, 56564251125136294034852624129014412182920367, 56574575589803365557441897421211575205489153, 6266937726, 5160, 126, 8852650863190120306704384000000, 10333164960862489097807401023136248228486, 70338328714990907517357314856554991021578470, 13795343034684790522877932041399166446965465, 21256795501510854778186876971909120000000, 56553327520352319006983409293302724216246704, 368046, 8222849543047373236077723648000000, 42184046472132118025127591936000000, 25903107682364400732727, 10341848260198889202902778774742708972927, 51212944267220741160, 15537113273014144448681646, 21265444848481246671501409901640033372726], 'label': '15944266600786427904000.a.1085280._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036027
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763753091226355950696692280987204841042231, 13763761782766813416761058379541008716835608, 126902579823654389181157747708476097918618176, 5041, 126892238000593233767414810913405842148074161, 126902579831886069597355262245252030498352209, 126902579823654389181157747830494925562657913, 13774086247424411607443160890983825544496289, 7, 13763753091226355950696691903247089142048006, 85062857134554846588520843303644536832001, 13774094922519191765125881453067370496000000, 8691540457466064418335919964160000000, 10341839506854499889387422705601931441216, 13774086239192731191245646234428977263667320, 141367815238020247491455889322541407236096001, 51090942171709440001, 85071532229335019808303465458368512000001, 113128511485581408119764717759516688683375936, 121, 6227020801, 13774086239192731206756907488836697114356526, 362881, 10341839506854499863535405609648128000000, 13774086247424411607443319165175921754448304, 126902579823654389165646486574202880000000001, 13763753091226355935185429999933063168000000, 42045587766765692121522051071055640535097720, 141357490781594307923721190588416000000000000, 39916801, 28366888858118458309060112887137828864000000, 8683326460573906140126895658663768095, 95396005100930102648736954643906560000000, 113128493584461657974426743449321198514539190, 15673224800464744426889016, 126892238000593233767414810791762029988639129, 28281826000983903462497444182218169712640001, 13763761774552816556920047418156614586736040, 85080767007649365728799845564108830464000], 'label': '15944266600786427904000.a.1085280._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036039
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [51091297859137536000, 8841777505000836227714849696767, 5046, 7, 8691540457466064418457922059973690959, 13763753091226345061853093501992304072329023, 15537062060069870960640000, 13763761774543974762609038791896318636170471, 52855362577388384806995041657847162300721, 10333147966386144955518668076408176640000, 8691549310116927715882010770649150641, 8222838654203774834464447856640000, 8222849558584486387445460013119071, 8691549310116927659668813947325935233, 10888895302435091045744640000, 8691549310132464721729239499354992136, 121, 8231691320552322981718987227535128, 121645100408832001, 8852650863190120306704384000000, 1313941305601, 362881, 31589909506090309445202524560008518844720, 355687428096001, 13848842575512821057422583303752182829113606, 13763753091226345046315979581580902400000001, 39916801, 6227383687, 8222849543047424327375589052490575, 10333147975238795818708910404795884727823, 8683317618811912347534933286256640000], 'label': '15944266600786427904000.a.1209312._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1209312.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1209312._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036028
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763753091226355950696692280987204841042231, 13763761782766813416761058379541008716835608, 126902579823654389181157747708476097918618176, 5041, 126892238000593233767414810913405842148074161, 126902579831886069597355262245252030498352209, 126902579823654389181157747830494925562657913, 13774086247424411607443160890983825544496289, 7, 13763753091226355950696691903247089142048006, 85062857134554846588520843303644536832001, 13774094922519191765125881453067370496000000, 8691540457466064418335919964160000000, 10341839506854499889387422705601931441216, 13774086239192731191245646234428977263667320, 141367815238020247491455889322541407236096001, 42045587758542842578474677834977916887097720, 113128511477358580354456245360143286571375936, 51090942171709440001, 85071532229335019808303465458368512000001, 121, 6227020801, 13774086239192731206756907488836697114356526, 362881, 10341839506854499863535405609648128000000, 13774086247424411607443319165175921754448304, 126902579823654389165646486574202880000000001, 13763753091226355935185429999933063168000000, 141357490781594307923721190588416000000000000, 39916801, 28366888858118458309060112887137828864000000, 8683326460573906140126895658663768095, 95396005100930102648736954643906560000000, 113128493584461657974426743449321198514539190, 15673224800464744426889016, 126892238000593233767414810791762029988639129, 28281826000983903462497444182218169712640001, 13763761774552816556920047418156614586736040, 85080767007649365728799845564108830464000], 'label': '15944266600786427904000.a.1085280._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036029
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763753091226355950696692280987204841042231, 13763761782766813416761058379541008716835608, 5041, 13774086239192731191271549340955169714539184, 13774086247424411607443160890983825544496289, 7, 13848824631678518704790995821435155482373040, 15511261256292045522741113, 10341839506854515400648556622998908722329, 13763753091226355950696691903247089142048006, 10341839506854515400648678266811108074160, 8691540457466064418335919964160000000, 95395996878102337340264555270504448000000, 10341839506854499889387422705601931441216, 13774086239192731191245646234428977263667320, 13763761774552816509065665220082008064000000, 51090942171709440001, 126, 13774086239192731191245646232918425600000000, 6227020806, 13774112832392286284266160576615940096000000, 13774086239192731206756907488836697114356526, 15511261134273217918618296, 362881, 8231680431708775671049150498352208, 13774086247424411607443319165175921754448304, 42130624031240017531220552545521879785472000, 10333147966397033799117069689683968000000, 126902579831877227819824409391928442880000000, 13859157779644893960851212176064310648832001, 28366879631554140839812589579829116928000000, 13774086239192731206756856276249411584000001, 39916801, 8683326460573906140126895658663768095, 15673224800464744426889016, 13859149088104436494812645735593818484736000, 28271492844255342070641234525223043411292856, 42045587758542853467344128253330077655097721, 13763761774552816556920047418156614586736040], 'label': '15944266600786427904000.a.1085280._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036030
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [84814505092534846539928344006780317049194880, 5041, 13763753091235197712690430836517773031882287, 10341839515685373013727797259967399652439, 13774086247424445096173902856612887909891630, 7, 13774094922519202669532393931490710335633286, 8683326471462991453734103703293615303, 13774094930733199546798947326928851094525654, 8231680416171662641325206904832127, 13774086239192731191245697582572269272441473, 10341831284015861196873722157242943087503, 126881358839164016291534466006291800527948926, 8683326460573880286311091116605445166, 10904406563691364997542313646, 39916920, 8231691353435071698681604244695384, 13763761774543974762609038791141602669293497, 13763753091235186808309719283535446016000000, 51090942171709440001, 8231691643805031014376993507695416, 10333147975227906923406353292066816000000, 10888869501631295126581673646, 121, 10904406563691366305216681647, 13774094930733199546179515108837018614600320, 8231691305041164030856155302010551, 25852016738884976640001, 121645100408832001, 10341831284015845711464726625072003276799, 362886, 13774086239192731206756907367191589520847145, 355687428096001, 6227020927, 8683326460573880286311110664531268616, 28271492836041356873883572063920883638640047, 13763753091235209424894910354878662606012727, 13774086247424411607874884479880205064663344], 'label': '15944266600786427904000.a.23256._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036031
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763753091226355950696692280987204841042231, 13763761782766813416761058379541008716835608, 5041, 13774086239192731191271549340955169714539184, 13774086247424411607443160890983825544496289, 7, 13848824631678518704790995821435155482373040, 15511261256292045522741113, 10341839506854515400648556622998908722329, 13763753091226355950696691903247089142048006, 42045587766765681232652600652703479767097721, 10341839506854515400648678266811108074160, 8691540457466064418335919964160000000, 95395996878102337340264555270504448000000, 10341839506854499889387422705601931441216, 13774086239192731191245646234428977263667320, 13763761774552816509065665220082008064000000, 51090942171709440001, 28271492836032492527593861289145319763292856, 126, 13774086239192731191245646232918425600000000, 6227020806, 13774112832392286284266160576615940096000000, 13774086239192731206756907488836697114356526, 15511261134273217918618296, 362881, 8231680431708775671049150498352208, 13774086247424411607443319165175921754448304, 42130624031240017531220552545521879785472000, 10333147966397033799117069689683968000000, 126902579831877227819824409391928442880000000, 13859157779644893960851212176064310648832001, 28366879631554140839812589579829116928000000, 13774086239192731206756856276249411584000001, 39916801, 8683326460573906140126895658663768095, 15673224800464744426889016, 13859149088104436494812645735593818484736000, 13763761774552816556920047418156614586736040], 'label': '15944266600786427904000.a.1085280._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1085280.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1085280._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036032
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1116288.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': 1116288, 'diagramx': None, 'generators': [13774094930742041308173254689514743598199102, 5046, 121645100449111800, 13774094930742030419303804270792933376000001, 7, 10904406563691365058423146863, 355687468017841, 70349260969670651909620448298490920960000000, 13774094930742041323710367840157136856433256, 13774094930742030435300741024006656904105311, 51212942965813305606, 13774094930742030434815066175221513862749144, 13774094930742041308199107219182870272858286, 13774094930742053003705538838920855744645551, 10888895302435448041063639086, 10904380662125526180428654761, 33505454641611340471539456120, 1307674731001, 13774094930742030419329709806492545490045446, 113096331076533747796773643702946386416041526, 40279680, 25904388929867509000744, 10904406514787046798575555760, 13774094930742324096144887395368445426031863, 10904406563691366305216681647, 126, 25852016738884976640001, 6267305520, 25852138759220517693769, 13774094930742041646371693607822797335240744, 70306765364713723848650332861930930176000000, 13774094930742030434815065405836069466723982, 13774094930742041308738785451054421627376305, 15537113151384528246021127, 13774094930742030434815014314480960965899169, 13774094930742041323710316870861373187840576, 368041, 113096331076533736116832532165657419807927816, 10888869450540012530917663134, 15511210556631131158818487, 13774094930742041323684516336369757576554030, 15537113273014144448676607], 'label': '15944266600786427904000.a.1116288.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1116288.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1116288.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036033
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [13763842572750818115254150554017241433419750, 51091297859137536000, 25852138740986754873721, 137891660977000877520861245877714407836081, 5046, 10333147975261427889206795019263385663064, 8222849558558634491997289424645622, 7, 15537062060069870960640000, 10351066126051918916816092869412790069742, 8231680431708990790451525009729263, 13891311578516274154628948687696268199102792, 10333147966386144955518668076408176640000, 8717315446736674589897213067681240544, 127558479113139515304233606167878001960735, 8222838654203774834464447856640000, 85053639359592855581731559309254550958598, 10888895302435091045744640000, 63788194529393294198204936860626986745905, 85044964237632498822387038219925029266537, 121, 121645100408832001, 106310392137065715683321341151127285811337, 8852650863190120306704384000000, 1313941305601, 13774094930733188672847126750910356271881304, 10333156225844905915585531076466021140998, 362881, 355687428096001, 13763753091226345046315979581580902400000001, 39916801, 6227383687, 8691558773366600006317536825741427798, 13891311578507443266019301498789680983695879, 8683317618811912347534933286256640000], 'label': '15944266600786427904000.a.1209312._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1209312.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1209312._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036034
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [51091297859137536000, 10333147975238795792856771663815436350782, 25852138740986754873721, 5046, 7, 8691540457466064418457922059973690959, 15537062060069870960640000, 8683317629716267207071577057323986230, 8222849558558634491997289424645464, 8841777530852974968701564658481, 10333147966386144955518668076408176640000, 85089476063637356928681025736431937280126, 8691549310116927715882010770649150641, 15537113920411401672328903, 8222838654203774834464447856640000, 13795343000732435355761182106140910918844721, 8691549310116927659668813947325935233, 10888895302435091045744640000, 8691549310132464721729239499354992136, 8222849543073276465405188417291934, 121, 8231691320552322981718987227535128, 121645100408832001, 8852650863190120306704384000000, 1313941305601, 52855362577388384781142903630850692188840, 362881, 355687428096001, 39916801, 6227383687, 8683317618811912347534933286256640000], 'label': '15944266600786427904000.a.1209312._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1209312.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1209312._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036035
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [51091297859137536000, 10333147975238795792856771663815436350782, 25852138740986754873721, 5046, 7, 8691540457466064418457922059973690959, 15537062060069870960640000, 8683317629716267207071577057323986230, 8222849558558634491997289424645464, 8841777530852974968701564658481, 10333147966386144955518668076408176640000, 85089476063637356928681025736431937280126, 8691549310116927715882010770649150641, 15537113920411401672328903, 8222838654203774834464447856640000, 8691549310116927659668813947325935233, 10888895302435091045744640000, 8691549310132464721729239499354992136, 8222849543073276465405188417291934, 121, 8231691320552322981718987227535128, 121645100408832001, 8852650863190120306704384000000, 1313941305601, 52855362577388384781142903630850692188840, 362881, 31589909506090309445202524560008518844720, 355687428096001, 39916801, 6227383687, 8683317618811912347534933286256640000], 'label': '15944266600786427904000.a.1209312._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1209312.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1209312._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036040
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1220940.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': 1220940, 'diagramx': None, 'generators': [26601431856190287914824661705976939473, 28281825992221728231056259081508874930995201, 10377642276860525675076068330503377617280, 42045587758542842530700099810577696581846831, 121645106635852800, 5046, 13763797602521833328705584655053977826461790, 7, 13774104157306957665240604523624259074576209, 42045614894971412757713645457611105632394591, 13763815461457547890241263582602000287268481, 13774094922519202686312708222667047044997545, 28281825984007720434491415503697719952829008, 13774094930733188672821274612525069399145305, 10386834888811938987995883916237619458270, 8691540457466064418335919964160000000, 10333181945887263586467921205036435109166, 15511210164976092619852806, 42035254610576467306903251559017249672535681, 51090942171709440006, 10359732422059307211550742339030616170880, 8691549310116927608456226668544000000, 121, 13774086239192731191245646232918425600000000, 25852016738884976640006, 6227020806, 362886, 10333156189224799107589469063086080000000, 26584464514908764362658681585664000000, 28281852568463393581262038588452628311533209, 28281834675539347042968555525152690805125160, 355687428096006, 53720893074246288974969232162816000000, 33970670245506608755785423876458902, 8222849543047373236077723648000000, 39916801, 42045605668434241254897742349084516756023086, 10351066080612618924622637186013141110520, 42035245961229507819390546396474114048000000, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1220940.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1220940.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1220940.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036041
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [5041, 74139235337799300542125024102675442642350, 7, 56595850261189018258535343426405240301800247, 42066844520082536129357127513389555655152622, 10377625300677497720700329331268399858422, 8852650863241332895337953031638, 17909873094519166131267581621077332462, 13763761774552816524602778493096146285293377, 13774086239201572968750647069146133136863689, 8683326460573880286311091116605445166, 10904406563691364997542313646, 39916920, 8683317618827397756656608957292882335, 13763753091235186808309719283535446016000000, 51090942171709440001, 70317071919480610958422306559982087279450832, 10333147975227906923406353292066816000000, 13785036437194565501707382734198049158929054, 10888869501631295126581673646, 121, 10904406563691366305216681647, 121645100408832001, 25852016738884976640001, 8222838654177922939370663288832126, 28303091437079029446821382877603439959702446, 52873264227655123101688875046105883990257, 31607810625829565939522233114256957470368, 362886, 8841761993739701954543616000001, 13816599770477272857242739281447494263609726, 355687428096001, 13774112832383444537809483059757436745640192, 6227020927, 74112141075581133423301589346134927669777, 13795343017708607494871903361765564480276462, 56542994363605453604243424557370634557490255, 74121333678690800227839610938723938740552, 42056502697012527726714469639196800298922217], 'label': '15944266600786427904000.a.23256._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036042
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1302336.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': 162792, 'diagramx': None, 'generators': [5041, 8683326460573880235220148944896000000, 7, 8683317629716293059093944166426497321, 15537062060071178635371582, 10341831292857607679403381136488131326510, 6227383801, 15511261256273945745296929, 85044939038610799912129496306716248171006, 1307674731006, 40279680, 10341831284005004670544367250849841577646, 1307675572265, 10341839506854500025550163097786324259182, 121, 8231680416197565627361163618366142, 10341839506854515400649327531607777756856, 121645100408832001, 25852016738884976640006, 8852650863190120306704384000000, 15511210043330985984000001, 8231680416171662641680894373235887, 10341839515685388524937840579788287365121, 15537062182091514090140159, 8222849543047373750136668718573670, 10333147966397033799117069689683968000000, 10341831292857607705204429349581607694598, 10341831284004972327530608345721530245545, 8222849543047373236077723648000000, 363007, 10341839506854499863586618198228096469896, 63814778911870621651075661580924521457966, 51212587272118272000, 8231680431708724579766735764684920, 356995102469046], 'label': '15944266600786427904000.a.1302336.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1302336.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1302336.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036043
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [8841761993739701954543616000001, 5041, 121, 355687428096001, 10888869450418352160768000001, 7, 39916801, 362881, 13774086239192731191245646232918425600000000, 1307674368001, 15511210043330985984000001, 8691540457466064418335919964160000000, 6227020801, 121645100408832001, 8683317641428471686589536310195639681, 13763761774543986458115470802177691376899510, 25852016738884976640001, 51090942171709440001, 8222838654177922817725562880000001, 10341831284004956816162169531924480000000], 'label': '15944266600786427904000.a.1395360._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036044
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 58140, 'diagramx': None, 'generators': [8691540457466064418335919964199916801, 8231680416197514536418991472640001, 8683326460573880235220148944896000000, 10341831284015845685663800471411142645758, 10333147975227922460519626306211264318767, 63806095594240936432191906749333842930150, 8691540457466064418335919964160005041, 74147918646565816516026522156307992554470, 8691540457466064418335919964160000007, 63806087362571796317940389037513490133465, 52882465044863861093290489975230242589649, 21256786738725831188221374665362494979631, 10333147975227906923406353292066816000000, 63814778903017986299095584606513795855654, 52891148371222256428220694723422925315241, 8231680431682923654310259331825847, 21256778507215265302437239354740609424046, 8231680416171662519680106496000000, 10333156189235703514102069487293920394009, 8691540457466064469426862135869440001, 52882465044750777709749290501406720000000, 10333156189247383483471898451341822186464, 21256778507034526121256292618076160000000, 8683326483190491227217288874793124480, 31598618022719914646143163921621312419495, 63806087362560907960066770583102292982065, 74139235337799316027536069489391591557550, 8691540468370470982027286269376681647, 8691540457466064418335919970387020801, 8691540457466090321565603122624318647, 8691540457466064418335919964160362881, 8691540457466064418335921271834368001, 10888895353526033223895205166, 8691540457466064418336275651588096001, 42557992181986568019508314245722518725329], 'label': '15944266600786427904000.a.1395360._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036045
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10341831284015845711517868250338683598736, 1313941673647, 10333164951422000680841727224976440714590, 10333173165418731494380791508027380465982, 13774086247424445112871899151350423842821160, 7, 10333164951410950414895246673241029897616, 13763753108211370174488436158959203394455081, 13763761782775644274400042642205091509736463, 8708516640832243084115883689517557161, 5167, 10341831284004956816162169531924480000000, 40284847, 10333164951410934929486122756008454313815, 8700302902918349929571712115126824958, 8691540457466064418335919964160000000, 8691540468370470930815100849471338167, 10341856492116908977831720741946960631119, 8691540490954846864456317523749093550, 51090942171709440006, 13763761799751827511499537754328115551348168, 13763753108211369851801208292177447100364097, 8683326460589391445385495988417842334, 13763761791520169486041588002484510064640126, 8231680416171662519680106496000000, 13774086247424422511798020427991820856887662, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 121645100408832006, 25852016738884976640006, 357001369769641, 13763761791520157968712017697147983992421800, 6267305641, 368041, 13763753099449239870847894795779704759222088], 'label': '15944266600786427904000.a.1395360._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036046
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13763753108211380918819261880908126328421800, 10341831284015845711517868250338683598736, 1313941673647, 10333164951422000680841727224976440714590, 10333173165418731494380791508027380465982, 7, 13763761774544020028556467496248543159222088, 13763753116425366937619302534179170655348168, 10333164951410950414895246673241029897616, 13763753108211370174488436158959203394455081, 13763753116434208505979131109903009980364217, 8708516640832243084115883689517557161, 13763753108211392436148832186244652400640126, 5167, 10341831284004956816162169531924480000000, 40284847, 10333164951410934929486122756008454313815, 10333164942817680919673682867439184630999, 51090942171709440006, 8852666400252181135428927338166, 13774086247424422511798020427991820856887662, 8231680416171662519680106496000000, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 13763761782766802512406302940250541666715663, 121645100408832006, 25852016738884976640006, 357001369769641, 8841761993739701954543616000001, 8231680431682872685027150017842334, 6267305641, 13774086247415603350878159449395880226821161, 368041, 8708525741572527852389437678006824838, 33488782446120397559589093550], 'label': '15944266600786427904000.a.1395360._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036047
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10341831284015845711517868250338683598736, 1313941673647, 8691549310132464670517055393087338166, 13774086247424445112871899151350423842821160, 8700293802178065161298158126637557160, 7, 10333173174249589107408940481571334313814, 13763753116434208505979131109903009980364217, 13763761782775644274400042642205091509736463, 5167, 10341831284004956816162169531924480000000, 40284847, 13763753116434208828666358976684766274455080, 10341856492116908977831720741946960631119, 51090942171709440006, 13763761799751827511499537754328115551348168, 10333164942580077316457973782464500465976, 13763761791520169486041588002484510064640126, 8231680416171662519680106496000000, 13774086247424422511798020427991820856887662, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 121645100408832006, 25852016738884976640006, 10333173174260654858764544594851892618590, 357001369769641, 10333173174249604592818064043116481801616, 13763761791520157968712017697147983992421800, 8683317618827397705683541444801842335, 6267305641, 8691549332716840604158272067365093544, 368041, 8708525741572527852389437678006824838, 8691549299228058158037874507776000001, 13763753099458081632841634498089935803318088], 'label': '15944266600786427904000.a.1395360._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036048
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10341831284015845711517868250338683598736, 1313941673647, 10333164951422000680841727224976440714590, 10333173165418731494380791508027380465982, 8691549310132464670517055393087338166, 13774086247424445112871899151350423842821160, 10341848269278254799908903016384080630999, 7, 10333164951410950414895246673241029897616, 13763761799742996622889940514872239198053800, 13763753108211370174488436158959203394455081, 13763761782775644274400042642205091509736463, 8708516640832243084115883689517557161, 5167, 10341831284004956816162169531924480000000, 40284847, 10333164951410934929486122756008454313815, 8700302902918349929571712115126824958, 13763761791528988857321614936602552671348169, 13763761799743008140219510820210072944640127, 51090942171709440006, 13763753108211369851801208292177447100364097, 13774086247424422511798020427991820856887662, 8231680416171662519680106496000000, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 121645100408832006, 25852016738884976640006, 357001369769641, 8683317618827397705683541444801842335, 6267305641, 8691549332716840604158272067365093544, 368041, 8691549299228058158037874507776000001, 13763753099458081632841634498089935803318088], 'label': '15944266600786427904000.a.1395360._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036049
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10341831284015845711517868250338683598736, 1313941673647, 13774086247424445112871899151350423842821160, 8700293802178065161298158126637557160, 10341848269278254799908903016384080630999, 7, 13763761799742996622889940514872239198053800, 10333173174249589107408940481571334313814, 13763753116434208505979131109903009980364217, 13763761782775644274400042642205091509736463, 5167, 10341831284004956816162169531924480000000, 40284847, 8691540457466064418335919964160000000, 13763761791528988857321614936602552671348169, 13763753116434208828666358976684766274455080, 13763761799743008140219510820210072944640127, 8691540468370470930815100849471338167, 8691540490954846864456317523749093550, 51090942171709440006, 8683326460589391445385495988417842334, 10333164942580077316457973782464500465976, 13774086247424422511798020427991820856887662, 8231680416171662519680106496000000, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 121645100408832006, 25852016738884976640006, 10333173174260654858764544594851892618590, 357001369769641, 10333173174249604592818064043116481801616, 6267305641, 368041, 8708525741572527852389437678006824838, 13763753099449239870847894795779704759222088], 'label': '15944266600786427904000.a.1395360._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036050
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [10341831284015845711517868250338683598736, 1313941673647, 10341848269278254799908903016384080630999, 7, 13763761774544020028556467496248543159222088, 10341848260199050573597543464834104714590, 5167, 10341831284004956816162169531924480000000, 40284847, 13763761799742985555871886926142867644364217, 10341856491879305374616011656972276465982, 51090942171709440006, 13763761799751827511499537754328115551348168, 8852666400252181135428927338166, 25207863782350328299643831853557161, 13763761791520169486041588002484510064640126, 8231680416171662519680106496000000, 13774086247424422511798020427991820856887662, 10888895353526033217454080006, 25199280998647617169288733110824838, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 13763761782766802512406302940250541666715663, 121645100408832006, 25852016738884976640006, 10341848260187984822241938995866118313815, 357001369769641, 13763761791520157968712017697147983992421800, 8231680431682872685027150017842334, 8841761993739701954543616000001, 6267305641, 13774086247415603350878159449395880226821161, 368041, 13763761791520147224381191975199061058455081, 10341848260188000307651062913098693897616, 33488782446120397559589093550], 'label': '15944266600786427904000.a.1395360._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036051
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13785018553051009288704444994534307815557550, 8691540457466064418335919964199916801, 8683326460573880235220148944896000000, 10333147975227922460519625950523796668727, 63814770689021078603651334205341696000000, 8683326573657263776419622768418589649, 13816635556279948474914822100070076631205166, 8683326460573906087236887829872640001, 63814778903028859683137012343540798979631, 8691540457466064418335919964160005041, 74147918646565816516026522156307992554470, 8691540457466064418335919964160000007, 13795351701026226694483788402212152148982065, 10333147975238811329970044658372032681647, 13785018553050998399860844665406210386930150, 13795343017699946456548083472273166209424046, 13785009869742221349942236710783675011855654, 10333147975227906923406353292066816000000, 13816635556279960202630460571176782633124480, 8231680416171662519680106496000000, 10333156189224814644702741721543062725329, 10333156189235703514102069487293920394009, 8691540457466064469426862135869440001, 10333156189247383483471898451341822186464, 13816644239588725540750460574349781709315241, 8691540457466064418335919970387020801, 13806302408304720567965563851684272582645758, 13785018561282690092089918187054603026133465, 13816644239588714635912224390276710400000000, 8691540457466064418335921271834368001, 8691540457466064418335919964160362881, 63806087362560520260478296147910976419495, 8691540457466064418336275651588096001, 15537113273014144448681646, 10341839515685388499034732543016960000001], 'label': '15944266600786427904000.a.1395360._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036052
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 171, 'diagramx': None, 'generators': [8222838654203774956109554842038705, 28271492844264172959277164228379006305425143, 7, 8734264483796363246418172859148984367, 42045587766774533851252422791942372206959071, 1313901388800, 15537062060069870960640000, 42045579075234065480941636210824289201334278, 28271501527581791755626546716098858945752550, 122000787836928000, 8222849590930177622822610656976288, 8222838654177922817725562880000001, 13774086239219899774961800686086891955715630, 28271501604249353591854209439670256502719048, 8231680431708775671054737526693528, 356995102464000, 42045587766774522962408875602931611410327753, 6266937600, 13774086239192731384988048135778479214856896, 40279680, 28271608893734921170612281167020317374479926, 8691549299243595271310888652224681647, 5160, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 126, 42045579083456904150522380222547257609452807, 28271501527581791755626381802239413516959009, 28271752223822373888138340744012647985231128, 367920, 8231691305066965979908330207560545, 28271492836032503416437459690404222027945657, 8841761993739701954543616000001, 42045587766774533835741264730236723155292840, 13774112840606294080831004154427107481406767, 42045605651448595783853891005000773024748800, 42045623799180693362340888182705056600277334, 13774345626817939372454570562005534902511400, 25903107681056686080000, 51212587272118272000], 'label': '15944266600786427904000.a.342._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '342.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '342._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036053
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [13763761774552805620196322106641610825915871, 8691796597181073667462647513351849311, 8691540457481575628379250956371020800, 1307674368120, 10936698087904228521630984665, 121646408083200000, 13774086239192731191245697323861904983808000, 13774086239192731206756907367191583293440000, 13774086239201572953239437025815140925440000, 1307674730880, 180722404135566733436530738559, 56585517088023599558089234612871430144368056, 28281843876904642830033197934755248098933822, 10333156189224799134457925894141438511070, 356995102464000, 8691540457466064418335919964160000000, 13774086239192821560850421872128443474163840, 42045596976345086833615933282911202823894417, 84857000714503945342438171867049961237847801, 13763753091253513582203547640172174744924721, 13763761774809126186689895828323410540749664, 42045596968122135209973655663206727680000000, 1307714284800, 28281843885127470579855244014971293040008918, 8222838654177922817726870554368000, 56585517088023858891331613348730009496114553, 70359612010542791307703906657551725614156801, 13763753099449194589363403908600797757440000, 10333156326220956656504230276532897111638, 13763753099449183700493902399306465280000000, 1307674373040, 1307674368001, 13774086247415580734293072730698708169986558, 1307674368006, 10333156189224799107589469063086080000000, 56585517096246438196756000648989415030833343, 28281843885127775097199758370474853296010591, 25903107681056686080000, 8683326471478260946779159825153288529, 84867333862452038186665283548390160503960735], 'label': '15944266600786427904000.a.23256._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036054
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13785009869742232238837488176222015724280110, 5041, 13785018561282689721977832873078673616928001, 10333147966408777026016675068240162821047, 13785009877965070877720116273259501349631151, 8691549321812434040467619758620645545, 8683326460573880235220148944896000000, 8683326471478286798911515311033426345, 10904380662889294498558742831, 13785009877965060004146011545246821383627831, 10341831284004956816162169531924480000000, 13785009869733673233551300694066411042007391, 10341839506854515400648556978686376740049, 51090942171709440001, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 25852016738884976640001, 13795343017699765717366902525536501760000000, 13795343025931446149075627105287786930930536, 13795351701017384835538190713240971349219193, 1307674368001, 362881, 15511210043330985984000001, 13785009869742232238811636159837456765302694, 10333147975238811304119955433000979024305, 8841761993739701954543616000001, 355687428096001, 13795351709240223183431373233635001465532720, 13785018561273837054282782823955112917104288, 10341831284004956842065277568728557285838, 39916801, 8683326460589849072216899776319143616, 13785009877965070892989609946878150392053345, 8691540468370470930820727611460465983, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036055
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13763753091226367678412329605311619362821047, 13785009869742232238837488176222015724280110, 5041, 13785018561282689721977832873078673616928001, 21265470056344658560125883491649272053345, 8683326460573880235220148944896000000, 8683326471478286798911515311033426345, 10904380662889294498558742831, 13763761782766813416786961487222065576740049, 10341831284004956816162169531924480000000, 51090942171709440001, 21265461824946999121816630679909922007391, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 21265470056333769716527481860320263627831, 6227020801, 121645100408832001, 25852016738884976640001, 13795343017699765717366902525536501760000000, 13795343025931446149075627105287786930930536, 21265470056344643290632209873000229631151, 362881, 1307674368001, 31589926473420977335715613465667669219193, 15511210043330985984000001, 13785009869742232238811636159837456765302694, 10333147975238811304119955433000979024305, 355687428096001, 13795351709240223183431373233635001465532720, 21256786729873196080307724179809237104288, 10341831284004956842065277568728557285838, 39916801, 8683326460589849072216899776319143616, 13774086239201572953239385934872969216000001, 13774094930742053003679686700538184220645545, 8691540468370470930820727611460465983, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036056
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13763753091226367678412329605311619362821047, 5041, 21265461833506004408004112835514604280110, 13785009877965070877720116273259501349631151, 8683326460573880235220148944896000000, 8683326471478286798911515311033426345, 10904380662889294498558742831, 13785009877965060004146011545246821383627831, 13763761782766813416786961487222065576740049, 10341831284004956816162169531924480000000, 13785009869733673233551300694066411042007391, 51090942171709440001, 21256786738725863775357773303369936928001, 31589934696259325228898133859697785532720, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 25852016738884976640001, 31598618022719914646143041901285810930536, 13795351701017384835538190713240971349219193, 362881, 1307674368001, 21265461833506004382152096450955645302694, 15511210043330985984000001, 10333147975238811304119955433000979024305, 355687428096001, 13785018561273837054282782823955112917104288, 10341831284004956842065277568728557285838, 31598609791039482937418462150000640000000, 39916801, 8683326460589849072216899776319143616, 13785009877965070892989609946878150392053345, 13774086239201572953239385934872969216000001, 13774094930742053003679686700538184220645545, 8691540468370470930820727611460465983, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036057
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [5041, 21265461833506004408004112835514604280110, 8691549321812434040467619758620645545, 10333147966408777026016675068240162821047, 21265470056344658560125883491649272053345, 8683326460573880235220148944896000000, 8683326471478286798911515311033426345, 10904380662889294498558742831, 10341831284004956816162169531924480000000, 10341839506854515400648556978686376740049, 51090942171709440001, 21256786738725863775357773303369936928001, 31589934696259325228898133859697785532720, 21265461824946999121816630679909922007391, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 21265470056333769716527481860320263627831, 6227020801, 25852016738884976640001, 121645100408832001, 31598618022719914646143041901285810930536, 21265470056344643290632209873000229631151, 362881, 1307674368001, 21265461833506004382152096450955645302694, 31589926473420977335715613465667669219193, 15511210043330985984000001, 10333147975238811304119955433000979024305, 8841761993739701954543616000001, 355687428096001, 21256786729873196080307724179809237104288, 10341831284004956842065277568728557285838, 31598609791039482937418462150000640000000, 39916801, 8683326460589849072216899776319143616, 8691540468370470930820727611460465983, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036058
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13785009869742232238837488176222015724280110, 5041, 13785018561282689721977832873078673616928001, 8683326460573880235220148944896000000, 8683326471478286798911515311033426345, 10904380662889294498558742831, 10341831284004956816162169531924480000000, 51090942171709440001, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 13795343025931446149075627105287786930930536, 362881, 1307674368001, 15511210043330985984000001, 13785009869742232238811636159837456765302694, 10333147975250539019756377022783778821046, 13763753091235197712690432885676380179024305, 355687428096001, 21265461833495115538604664134757383627825, 13795351709240223183431373233635001465532720, 8691540480050440300765665215004645551, 13785009869742232223542193455535246143999151, 10341831284004956842065277568728557285838, 31598609791039482937418462150000640000000, 39916801, 8683326460589849072216899776319143616, 21265461833506004382203065766086392053351, 13795351709240223489716113530967841903587193, 13785018553050998400104860006229550037104289, 10341839515696277394388258933229952823249, 8691540468370470930820727611460465983, 13785009877956522776598673930144134690007391, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036059
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13774094939495374793106160419488600873066881, 5041, 21256761539704551755086649689911421763766, 13795343008955556734059413690997986020616550, 31589934696270214098296180033323008000001, 10333173174249604592767089073152464316737, 8231680431682872563011092480000001, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 13763753108211369851801208292185835680751927, 10341831284004956816213260474096189440001, 13785018544306506661410468594797784463109455, 13774086239201572953239544073860528978187441, 13795343000723582704897936029086710799819814, 8708525482256038600148470930349800912, 13774086239201583842109907208602016505693768, 10341839515685372987824689212030976000000, 13774086247415569845423569050643988480000001, 13785018536074815371880780051967245958476232, 13795343008955296626604049212433699364842464, 13785018544306506676895877712330755732573481, 13774094939495385681975559624500295998007687, 31598592823709105820380829752503781099944, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 6227020801, 121645100408832001, 13774094939495385682001411640882159088011006, 362881, 1307674368001, 13795351701017384544790832716658289243223702, 13785018536074826260724215570035004219760041, 8231951460376767966652312027274471, 355687428096001, 31589934696270229635409453047467456681647, 10341831284015861196873844159344720041646, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036060
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13785009852766071795153231496674933262137600, 8231680416171662519680106496000121, 121645100408832120, 6227020920, 13785009852766049195320198242138962238007687, 21256761539704551755086649689911421763766, 363000, 1307674368120, 10333173174249604592767089073152464316737, 13763761799751860823400077292119986724842464, 355687428096120, 10904407583333798904879369889, 10341839515696261858397053883249975133768, 13774086256168925108095324404015178239467944, 10341831284004956816162169531924480000000, 10341839515685388499034732543016960000120, 13774086256168914234763150397939777158476232, 10333164942569172909945617758753577066880, 31598592823709105846232846828842383109454, 8708525482256038600148470930349800912, 10341839515685372987982828199590738187440, 13774086256168925123606585916007535419760041, 10341839515685372987824689212031015916920, 13763761791520146901693964108772998159819814, 5160, 8231680416171662519680106496000000, 13763753091226345061853414254508288603223702, 10904406563691366305216681647, 126, 10341839515696277368536363839451176124847, 8231951460376767966652312027274471, 21256761539997777505295058706158308616550, 13785018553059840146317471094347923456000001, 13785009852766049195346050258520825328011006, 10341831284004956816213260474096189440120, 31598592823709121331641964361813652573480, 8700293801855377984526844790944751926, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036061
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [10341839515685372987824689212030976000121, 8231691320578226211046411712681647, 6227020920, 121645100408832120, 363000, 1307674368120, 10341831284004972327372212862910464000120, 31589926482262433044662645910142976000126, 355687428096120, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 10341831284004956816162169531924480000000, 13795343000723582704897936029086710799819814, 16985035678843417873049988581099944, 13795343008955274009939048845473877652573481, 13795343008955273994453639727940906383109455, 13785018553059840146317629233335483218187441, 13785018536074815371880780051967245958476232, 13795343008955296626604049212433699364842464, 31589917728918059242572068784642989800912, 13774094939495385681975559624500295998007687, 21265453080150741710396743100621264316737, 5160, 8231680416171662519680106496000000, 13763753091226345061853414254508288603223702, 13774094939495385682001411640882159088011006, 13785018536074826260724215570035004219760041, 8231951460376767966652312027274471, 13785018553059851035187992368076970745693768, 13785018553059840146317471094347923456000001, 13774094939495374808617370461717760160751927, 21265461833495100001542603709192765440120, 21265470047502881055125046890201088000120, 10341848269041038410448032051245181763766, 13763753108211369836289998249956676393066881, 13785018544306789401016242557854864100616550, 21265470047502896566386303165460560041527, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036062
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13785009852766071795153231496674933262137600, 10341839515685372987875780154202685440120, 121645100408832120, 6227020920, 13785009852766049195320198242138962238007687, 31589917728918074753618966838610080751926, 10341831284015861222725860898229696681647, 363000, 1307674368120, 13763761799751860823400077292119986724842464, 355687428096120, 10904407583333798904879369889, 25199032586538862123430317716573480, 10341839515696261858397053883249975133768, 13774086256168925108095324404015178239467944, 10341831284004956816162169531924480000000, 13774086256168914234763150397939777158476232, 8231680431682872563011092480000120, 10341839515685372987982828199590738187440, 13774086256168925123606585916007535419760041, 21265453080150726199237791466328873066880, 13774086247415569845423569050643988480000001, 13763761791520146901693964108772998159819814, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 5160, 8231680416171662519680106496000000, 121, 10904380711674627420200124847, 10341856483331156344839556838511332616550, 13795351701017384544790832716658289243223702, 8231951460376767966652312027274471, 8231680416171662519680106496000126, 10341848269041038410448032051245181763766, 13785009852766049195346050258520825328011006, 10341839515696277368536363839451216041527, 25199032571053453005897346447109454, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036063
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13774094939486543935493081434201936699760040, 31589909506090681173543257696448637763766, 5041, 13785009852757207433352310556566281712011007, 10341831284015861222725860898229696681647, 31589917720076297248832366474411945704912, 8231680431682872563011092480000001, 10904407583333798904879369889, 10341831284004956816320308519484242187440, 13763761774552805635733649474657233499223702, 21265453071308979716657041146077648316743, 21265453071319868586158428795309716573481, 10341839515685372987824689212030976000000, 51090942171709440001, 13763753108202528089807468590578596879819815, 13774094939486533046649645916134178438476112, 10341839515685388499085945487290448041647, 8231680416171662519680106496000000, 121, 6227020801, 121645100408832001, 8231680416171662519680106496000007, 10341831284015845686734534203143479133768, 13774094947718224336153482442225858878007686, 362881, 1307674368001, 10333164951410934903685319713297193066881, 355687428096001, 13785009860988910481674382561096176164842470, 31589917720369925749694407462540004616550, 13795351684041212390142620709378862565099944, 10341831284015845685612587884085248000001, 8700302643617371724228799334560751927, 31598609791039482937418462150000640000000, 13774086239201572953239385934872969216000001, 21265453071319853100749311262338447109455, 13785009852757230033159491794720389646137601], 'label': '15944266600786427904000.a.1395360._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036064
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [13763761774552805620196322106641610825915871, 8691796597181073667462647513351849311, 8691540457481575628379250956371020800, 1307674368120, 10936698087904228521630984665, 121646408083200000, 13774086239192731191245697323861904983808000, 13774086239192731206756907367191583293440000, 13763770992346095207165163813462278144368056, 70359594117637038054550114949829751834368000, 13774086239201572953239437025815140925440000, 70349252286361885764108404041261943553288529, 1307674730880, 180722404135566733436530738559, 10333156189224799134457925894141438511070, 356995102464000, 8691540457466064418335919964160000000, 28271492836041345178431148180142618743960735, 13774086239192821560850421872128443474163840, 84857009932287783390699427299858905058933822, 84857000714503945342438171867049961237847801, 98620763015282550085926317012563734023894417, 13763761774809126186689895828323410540749664, 1307714284800, 28281843885127470579855244014971293040008918, 84857009932278930724323905446730789914368000, 70359612010542791307703906657551725614156801, 13763753099449194589363403908600797757440000, 10333156326220956656504230276532897111638, 13763753099449183700493902399306465280000000, 1307674373040, 1307674368001, 1307674368006, 10333156189224799107589469063086080000000, 56585517096246438196756000648989415030833343, 28281843885127775097199758370474853296010591, 56585507878471475399192036775501290904924721, 25903107681056686080000, 13763770992346354540407542549320857496114553, 56595841034633542551281561866027824329986558], 'label': '15944266600786427904000.a.23256._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23256.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23256._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036065
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [13774086239201572953239385934872969216000001, 21256761530862774250136904404381821763766, 31598601046547775509564782087376532573481, 10341839515696261857326320508465232041647, 21256769762531914312905417091432361704912, 13774086264391752888941073215665340038476112, 121, 31598618022990943314186428802312667274471, 31598601046536886640063394438144464316743, 13785018536083668007206693759995882981099944, 1307674368001, 121645100408832001, 13795343008946454864610309510479155748842470, 6227020801, 8231680416171662519680106496000000, 10341831284004956816320308519484242187440, 5041, 31598609791039482937418462150000640000000, 10904380660461683146752000000, 10341831284004956816162169531924480000000, 31598601046547760024155664554405263109455, 10341831284004956816213260474096189440001, 21256769762825542813767458079560420616550, 355687428096001, 10904406563691366305216681647, 13795343000732457940082898148012456462137601, 13763761799742985555871886926498561039819815, 25207863459663151528330496160751927, 13774086256177766870089064106305894718007686, 13763761774552805635733649474657233499223702, 10341839515685372987824689212030976000007, 13774086264391763777784508733733098299760040, 10341831284015845686734534203143479133768, 10341856491868400968103655633261353066881, 362881, 13795343000732435340275716909858348528011007, 10904407583333798904879369889, 10341831284004972327372212862910464000001], 'label': '15944266600786427904000.a.1395360._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036066
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13774094939486543935493081434201936699760040, 15511261256275259432124846, 25207863459663151528330496160751927, 31598601046547775509564782087376532573481, 5041, 13785009852757207433352310556566281712011007, 7, 10904407583333798904879369889, 31598601046547760024155664554405263109455, 10341831284004956816320308519484242187440, 10341831284004956816162169531924480000000, 21256769762825542813767458079560420616550, 13763753108202528089807468590578596879819815, 13774094939486533046649645916134178438476112, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 121, 13763753091226345061853414254508288603223702, 10904406563691366305216681647, 6227020801, 121645100408832001, 10904380711674627420200124847, 13774094922510350003132141751112826880000001, 31598601046536886640063394438144464316743, 21256769762531914312905417091432361704912, 10341831284015845686734534203143479133768, 13774094947718224336153482442225858878007686, 362881, 1307674368001, 355687428096001, 13785009860988910481674382561096176164842470, 21256761530862774250136904404381821763766, 13795351684041212390142620709378862565099944, 31598609791039482937418462150000640000000, 8231691305041112938032267303916800, 8231680416171713610622278205440001, 13785009852757230033159491794720389646137601], 'label': '15944266600786427904000.a.1395360._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036067
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 31589909506090681173543257696448637763766, 5041, 8231691320552374194307526696124847, 13795343000732457940082898148012456462137601, 7, 31589917720076297248832366474411945704912, 10904407583333798904879369889, 13774086264391763777784508733733098299760040, 10341831284004956816320308519484242187440, 10341831284004956816162169531924480000000, 21265453071308979716657041146077648316743, 10904380711674627420240041641, 21265453071319868586158428795309716573481, 13795343000732435340275716909858348528011007, 13774086264391752888941073215665340038476112, 51090942171709440001, 13795343008946454864610309510479155748842470, 13774086256177766870089064106305894718007686, 8231680416171662519680106496000000, 121, 13763753091226345061853414254508288603223702, 13785018536083668007206693759995882981099944, 10904406563691366305216681647, 6227020801, 121645100408832001, 13774094922510350003132141751112826880000001, 13763761799742985555871886926498561039819815, 10341831284015845686734534203143479133768, 362881, 1307674368001, 10333164951410934903685319713297193066881, 15511210043330985984000006, 355687428096001, 31589917720369925749694407462540004616550, 8700302643617371724228799334560751927, 31598609791039482937418462150000640000000, 21265453071319853100749311262338447109455], 'label': '15944266600786427904000.a.1395360._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036068
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 10333147975227922460841026219453019223696, 21265444857345560723747433288432142137600, 31598601046547775509564782087376532573481, 5041, 8683326471478260946894776365136041646, 8700302654490729913391581870398007687, 8231691320552374194307526696124847, 8683326460573880235220148944896000000, 7, 31589917720076297248832366474411945704912, 10904407583333798904879369889, 31598601046547760024155664554405263109455, 10341831284004956816320308519484242187440, 16976183043517504165021351558476232, 10341831284004956816162169531924480000000, 21256769762825542813767458079560420616550, 21265453071308979716657041146077648316743, 16976193932360939683089109819760041, 51090942171709440001, 21265444857322960916566195134324208011006, 10341831284004972327372212862910464000001, 31598601046570392174565149047198244842464, 10341848260188000307651178529618959819814, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 10341831284015845686734534203143479133768, 362881, 1307674368001, 10333164951410934903685319713297193066881, 355687428096001, 21256761530862774250136904404381821763766, 8700302643617371724228799334560751927, 31598609791039482937418462150000640000000, 21256761530862387010478958267343359467944], 'label': '15944266600786427904000.a.1395360._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036069
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 10333147975227922460841026219453019223696, 5041, 8683326471478260946894776365136041646, 8231691320552374194307526696124847, 8683326460573880235220148944896000000, 21256761539704551755086649689911421763766, 7, 31598601037728630180825447092654628842470, 31598601037705998030415962599861647109454, 21256769753994669689478174477177572616550, 10904407583333798904879369889, 8708525493144907836209307433278007686, 25199032586538862500814672699760040, 10341831284004956816320308519484242187440, 10341831284004956816162169531924480000000, 31598601037706013515825080132832916573480, 51090942171709440001, 25199021697695426982746914438476112, 10341831284004972327372212862910464000001, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 10333173174249589081608137438860073066880, 21256761539704149004218660220579301099944, 6227020801, 121645100408832001, 10341831284015845686734534203143479133768, 10341856483026654485573996255181839819815, 8708525482271549647046524897440751926, 362881, 1307674368001, 355687428096001, 21265444848481198922826493179780592011007, 31598609791039482937418462150000640000000, 21265444848503798730007731333888526137601], 'label': '15944266600786427904000.a.1395360._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036070
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 15511261134273157693440000, 13785009852766071795153231496674933262137600, 10333147975227922460841026219453019223696, 10904380660583685248530601647, 5041, 8683326460573880235220148944896000000, 10341831284015861222725860898229696681647, 10904407583333798904879369889, 10341831284004956816320308519484242187440, 10341831284004956816162169531924480000000, 13774086256168914234763150397939777158476232, 13785009860980035214146141104532578768316743, 10888869501509294332477440000, 21256786738714942292969903240354365440001, 13774086256168925123606585916007535419760041, 13795343008955274009939048845473877652573481, 13795343008955273994453639727940906383109455, 13763761791520146901693964108772998159819814, 13795343008955296626604049212433699364842464, 13774094939495385681975559624500295998007687, 13785018536074826632452612004179685501763766, 8231680416171662519680106496000000, 121, 6227020801, 121645100408832001, 10341831284015845686734534203143479133768, 362881, 1307674368001, 21256786738714942292969903240354365440006, 355687428096001, 13774094939495374808617370461717760160751927, 13785009852766049195346050258520825328011006, 31598609791039482937418462150000640000000, 13763753108211369836289998249956676393066881, 13785018536074826245212954058042647039467944, 13795351692264040155451307466249715625704912, 13785018544306789401016242557854864100616550], 'label': '15944266600786427904000.a.1395360._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036071
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 15511261134273157693440000, 10333147975227922460841026219453019223696, 10904380660583685248530601647, 5041, 8683326460573880235220148944896000000, 13785009852757207433352310556566281712011007, 10341831284015861222725860898229696681647, 10904407583333798904879369889, 13774086264391763777784508733733098299760040, 10341831284004956816320308519484242187440, 10341831284004956816162169531924480000000, 13795351692272881917445047168559946669800912, 10888869501509294332477440000, 13795343008946432232459900025986362767109454, 21256786738714942292969903240354365440001, 13774086264391752888941073215665340038476112, 13795343008946454864610309510479155748842470, 8231680416171662519680106496000000, 121, 13785018536083668007206693759995882981099944, 6227020801, 121645100408832001, 13763761799742985555871886926498561039819815, 10341831284015845686734534203143479133768, 13774094947718213462795293279443323040751926, 13774094947718224336153482442225858878007686, 362881, 1307674368001, 21256786738714942292969903240354365440006, 355687428096001, 13795343008946432247945309143519334036573480, 13763753116434208490467921067682239273066880, 13785018544297958527891953274252481252616550, 31598609791039482937418462150000640000000, 13785018536083668409957561749465215101763766, 13785009860988876976139880806487122384316737, 13785009852757230033159491794720389646137601], 'label': '15944266600786427904000.a.1395360._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036072
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [5041, 126923863670685261806240894584828723200000000, 13763753091235187002429406672906990342494087, 7, 10888869450540004148566292977, 10333156189225025490593749672022208305281, 13774086239192731206756909800079582805832881, 15537113151012048897503568, 13763753091235197697179220917105557257113592, 84814505101288213498078375018085733338097966, 10333156189224799107591262483760690313895, 84824838249263429709523556682719802040745542, 13774086239192742080140999880952504441946313, 10333156189224799107589469418773508096001, 13774086247424411623494049679483945971850161, 15537113273012836774313647, 51090942171709440001, 13763753091235186808309719283535446016000000, 13763753099449194604874614842617758657900926, 13763753099449183716030964459733337612824278, 13763753091235197712716282974901751232681647, 13774086239192753775621579753605848154453470, 10333156189224799107589469063086119916801, 13763753099449206317079042379350508831088041, 25853677574602947125166, 121, 6227020801, 25852016738884976640001, 13763753099449183700493902399306465280000000, 10333156189224831910585104361985660119368, 10333156189235687977039887415246848000001, 362881, 15511210043330985984000001, 10333147975228084316840827662423792395808, 10333156189224799107589469063086080000000, 13774086239192742095626306816602360188933471, 13763753091235197712716231883959573471221622, 10904406563691009384360283751], 'label': '15944266600786427904000.a.1395360._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036073
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [98588591340489774755839536264300704440745536, 5041, 126923863670685261806240894584828723200000000, 13763753091235187002429406672906990342494087, 7, 10888869450540004148566292977, 10333156189225025490593749672022208305281, 13774086239192731206756909800079582805832881, 15537113151012048897503568, 13763753091235197697179220917105557257113592, 10333156189224799107591262483760690313895, 13774086239192742080140999880952504441946313, 10333156189224799107589469418773508096001, 13774086247424411623494049679483945971850161, 15537113273012836774313647, 51090942171709440001, 13763753091235186808309719283535446016000000, 13763753099449194604874614842617758657900926, 13763753099449183716030964459733337612824278, 13763753091235197712716282974901751232681647, 13774086239192753775621579753605848154453470, 13763753099449206317079042379350508831088041, 10333156189224799107589469063086119916801, 25853677574602947125166, 121, 6227020801, 25852016738884976640001, 13763753099449183700493902399306465280000000, 10333156189224831910585104361985660119368, 10333156189235687977039887415246848000001, 362881, 15511210043330985984000001, 10333147975228084316840827662423792395808, 10333156189224799107589469063086080000000, 13774086239192742095626306816602360188933471, 98578258192514558544394354599666635738097967, 13763753091235197712716231883959573471221622, 10904406563691009384360283751], 'label': '15944266600786427904000.a.1395360._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036074
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [5041, 126923863670685261806240894584828723200000000, 13763753091235187002429406672906990342494087, 7, 10888869450540004148566292977, 10333156189225025490593749672022208305281, 13774086239192731206756909800079582805832881, 15537113151012048897503568, 13763753091235197697179220917105557257113592, 98578249509196939732507859081472234458097966, 10333156189224799107591262483760690313895, 13774086239192742080140999880952504441946313, 13774086247424411623494049679483945971850161, 51090942171709440001, 13763753091235186808309719283535446016000000, 13763753099449194604874614842617758657900926, 13763753099449183716030964459733337612824278, 13774086239192753775621579753605848154453470, 355687468012800, 13763753099449206317079042379350508831088041, 25853677574602947125166, 10904406563691364997502396847, 121, 13774086239192731191245646232918425600000000, 25852016738884976640001, 6227020801, 10333156189224831910585104361985660119368, 362881, 10333156189224799107589590708186528748800, 15511210043330985984000001, 10333147975228084316840827662423792395808, 10333156189224799107589469063086080000000, 98588582657172155943953040746106303160745542, 13774086239192742095626306816602360188933471, 13774086247424422511823872443964837312681647, 13763753091235197712716231883959573471221622, 10904406563691009384360283751, 10333156189224814644702620075135017385647], 'label': '15944266600786427904000.a.1395360._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036075
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '27132.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': 27132, 'diagramx': None, 'generators': [8231680416197565749363264920764841, 368046, 8691549299243595271310888652224681647, 51212587278385209607, 121, 122000794103865600, 7, 8222838654177922939370663328753840, 10333156189224814644702742077224261744041, 25852017094578671673600, 158395482811026333665, 42045579083456904182759844958465711387377967, 6266937607, 10904380660583328247200753846, 5167, 42066835844987766537532807830734059933020726, 42045596993339461081703862712965755284305966, 10333147975227954751885321684828855644841, 8222838669715035969094600692828847, 13774094930733199561716628260204688709744047, 10888869450539997267403852801, 25852016738891203660921, 39921847], 'label': '15944266600786427904000.a.27132.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '27132.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '27132.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036097
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13806284507193801311288941007181317987133671, 5046, 7, 21283337754223563182222981810437716873726, 13785018536074826260724701133979656375766184, 21274662659443420984003565028118167344329, 15537113151012042710359681, 13795351684050054152162372993955690919529016, 8683326471495067112959401380173701551, 8841762019642809635600342359681, 10341831284004956816162169531924480000000, 52855362568557496172568376680966492353158, 52846671028089141238539433912592550813671, 10341831284230847863781941314367736690047, 8683317844702934329382332293409915567, 6227388840, 8691540457466064418335919964160000000, 51212942959546373161, 1307714652727, 122000787877212840, 13795351684068347468324273407920047564220720, 42522206388253939792920589328276871011256, 13795351692272881917445420422410923448371217, 8683317618811886495518194401280000001, 31607802394149134231441343122183123443488, 10888895353526033217494359681, 121, 52846679250927795389646548851752960000000, 355687468012921, 13763779667440875364873844196209007956056608, 13774112815645085324276156581439090448629167, 10341831302331746221200691144745788492801, 368046, 13763770984132109188365073089808319972560969, 39921840, 13806284507193812200158391425515238725738903, 25852017094572405099000], 'label': '15944266600786427904000.a.31008._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31008.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31008._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036076
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [5041, 126923863670685261806240894584828723200000000, 13763753091235187002429406672906990342494087, 7, 10888869450540004148566292977, 10333156189225025490593749672022208305281, 13774086239192731206756909800079582805832881, 15537113151012048897503568, 13763753091235197697179220917105557257113592, 84814496417970594686191879499891332058097967, 10333156189224799107591262483760690313895, 13774086239192742080140999880952504441946313, 13774086247424411623494049679483945971850161, 51090942171709440001, 13763753091235186808309719283535446016000000, 13763753099449194604874614842617758657900926, 13763753099449183716030964459733337612824278, 13774086239192753775621579753605848154453470, 355687468012800, 13763753099449206317079042379350508831088041, 25853677574602947125166, 10904406563691364997502396847, 121, 13774086239192731191245646232918425600000000, 25852016738884976640001, 6227020801, 10333156189224831910585104361985660119368, 362881, 10333156189224799107589590708186528748800, 15511210043330985984000001, 10333147975228084316840827662423792395808, 84824829565945810897637061164525400760745536, 10333156189224799107589469063086080000000, 13774086239192742095626306816602360188933471, 13774086247424422511823872443964837312681647, 13763753091235197712716231883959573471221622, 10904406563691009384360283751, 10333156189224814644702620075135017385647], 'label': '15944266600786427904000.a.1395360._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036077
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [74139243551785303831005704764583288832006, 13785018553059840161854533276438129958051495, 5046, 8683326460573880235220148944896000000, 13816644239597669481289505291705077538589648, 74139243551785319342215626450468864000006, 10341831284015861222725860898229696681647, 63814770689021078603651334205341696000000, 10341831284015845685663800471411142645758, 10341839515685373013676705950915952640006, 63814778903028859683137012343540798979631, 63806095594240936432191906749333842930150, 13816635556271095824025728872082309120000001, 13795343025922785110726006289998729089424047, 74147918646565816516026522156307992554470, 10904838236184073071309315241, 63806087362571796317940389037513490133465, 8231680431708775792694250944681641, 51090942171709440006, 63814778903017986299095584606513795855654, 8231680416171662519680106496000000, 10333156189235703514102069487293920394009, 13785018561273847942882367812259870695557544, 6227020806, 13795351709249065333150501176606729044982065, 10333156189247383483471898451341822186464, 1307674368006, 8683326483190491227217288874793124480, 362886, 10333156189224799107589469063086080000000, 355687428096006, 13816644239597567286801317618264477911205167, 10333147975227906923406353292066816000007, 39916806, 13806302400081871040455252675677680022725328], 'label': '15944266600786427904000.a.1395360._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036078
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [74139243551785303831005704764583288832006, 5046, 8683326460573880235220148944896000000, 74139243551785319342215626450468864000006, 10341831284015861222725860898229696681647, 63814770689021078603651334205341696000000, 10341831284015845685663800471411142645758, 10341839515685373013676705950915952640006, 63814778903028859683137012343540798979631, 63806095594240936432191906749333842930150, 74147918646565816516026522156307992554470, 21256786730053919480360057080303489424047, 10904838236184073071309315241, 63806087362571796317940389037513490133465, 31598618013889041496054882016491495557544, 8231680431708775792694250944681641, 52891148362380478491598334729031895205167, 51090942171709440006, 63814778903017986299095584606513795855654, 8231680416171662519680106496000000, 10333156189235703514102069487293920394009, 42549308864367756133012796051321238725328, 6227020806, 31598609799881260468220346194750758051495, 10333156189247383483471898451341822186464, 1307674368006, 8683326483190491227217288874793124480, 362886, 10333156189224799107589469063086080000000, 21265470056334141904854943688303444982065, 52882465053592539703488992455950336000001, 355687428096006, 52891148362482672979786008169631522589648, 10333147975227906923406353292066816000007, 39916806], 'label': '15944266600786427904000.a.1395360._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036079
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 174420, 'diagramx': None, 'generators': [5041, 13785009877965070877720116273259501349631151, 21265470056344658560125883491649272053345, 8683326460573880235220148944896000000, 8683326471478286798911515311033426345, 10904380662889294498558742831, 10341831284004956816162169531924480000000, 13785009869733673233551300694066411042007391, 21256786729884084705742680064838056740049, 51090942171709440001, 13774094922519202669532394053135864044280110, 13774086247424422528899747713603719376928001, 13763761782775644289911199679526588850930536, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 21265470056333769716527481860320263627831, 31598609799881244931158164104544256000001, 6227020801, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 13795351701017384835538190713240971349219193, 1307674368001, 362881, 15511210043330985984000001, 13774094922519202669506542036751305085302694, 13763753091235197712690432885676380179024305, 355687428096001, 21265461824675970104101834543194402821047, 13785018561273837054282782823955112917104288, 10341831284004956842065277568728557285838, 31589934705123671598467893380956700645545, 39916801, 8683326460589849072216899776319143616, 13763753099449183700493954771485000825532720, 8691540468370470930820727611460465983, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036080
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [21265470047502881081028278835851112099409, 22616610991997139929897124480, 74139243551785416212129377821768889242529, 8708525482256064289020298141053112902, 21265461833495100001491634412121464832001, 21256761539704164515479916474989621305616, 21265461833505988870941931119181824000006, 10333164942569172909894525707714589691729, 7, 8700293812728736225549250628388762302, 1307674368120, 363000, 21265470047491992185674628538040320000000, 8708525685547252169951086100921808425, 63806070395478781123622425057910852580601, 21265461833505988870993144062214785806640, 10341831284015845711464604978744440298015, 10341839515707957363707118600286718186464, 10341839515685372987824689212030976000000, 8231691610976285422536592969538209, 21265470047491992211577858225483980164487, 31589926482262433044713736853682362834512, 8231680416171662519680106496000000, 121, 21256769753712752151984612512883131484726, 52891140139530935418373081912416829440001, 6227020801, 31589934696259325228845762036849708012800, 21256761539704164515479798598794597937287, 31598601037706013541677096873019776823385, 31598592823698232487994521323310213135297, 10341831284038462674427346343651500074025, 31589926482273337451226337276448192681647, 74147909893231992143785948678109316088447, 39921840, 39916801, 63814778903017970813686466715245936640001, 63806070395219254248189197925733146917160, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.1395360._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036081
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [121645100408832120, 6227020920, 8683326460573880235220148944896000000, 8231691320552374194307526696124847, 21256761539704551755086649689911421763766, 31589917728918074753618966838610080751926, 10341831284015861222725860898229696681647, 363000, 1307674368120, 10341831284004972327372212862910464000120, 10341831284004956816162169531924480000126, 13763761799751860823400077292119986724842464, 355687428096120, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 10341839515696261858397053883249975133768, 13774086256168925108095324404015178239467944, 13774086256168914234763150397939777158476232, 10341831284004956816162169531924519916920, 31598592823709105846232846828842383109454, 10341839515685372987982828199590738187440, 10341839515685372987824689212030976000000, 13774086256168925123606585916007535419760041, 21265453080150726199237791466328873066880, 13763761791520146901693964108772998159819814, 31589917728918059242572068784642989800912, 13774094939495385681975559624500295998007687, 10341831284004956816162169531924480000121, 21265453080150741710396743100621264316737, 5160, 8231680416171662519680106496000000, 13774094939495385682001411640882159088011006, 13795351701017384544790832716658289243223702, 8231951460376767966652312027274471, 21256761539997777505295058706158308616550, 13785018553059840146317471094347923456000001, 10341831284004956816213260474096189440120, 31598592823709121331641964361813652573480], 'label': '15944266600786427904000.a.1395360._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036082
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13795343000732457972426126394708136484842470, 121645100408832120, 6227020920, 8231691320552374194307526696124847, 8683326460573880235220148944896000000, 8708516640494044860446160699305704912, 10341831284015861222725860898229696681647, 10341831284004972327372212862910464000120, 1307674368120, 363000, 10341831284004956816162169531924480000126, 355687428096120, 10904407583333798904879369889, 10341839515696261858397053883249975133768, 13785009860988887849498121059864525118007686, 10341831284004956816162169531924519916920, 10341839515685372987982828199590738187440, 10341839515685372987824689212030976000000, 10333173165407842599027387118608848316743, 25207874348532601825384861332573481, 13795343008946421359075858846812273679819815, 10341831284004956816162169531924480000121, 13785018544297664914902138387760567099760040, 5160, 8231680416171662519680106496000000, 13785018536083668007206693759995882981099944, 25207874333047192707851890063109455, 13785018544297654026058702869692808838476112, 13795351701017384544790832716658289243223702, 10333164951410934903685319713297193066881, 8231951460376767966652312027274471, 13785018553059840146317471094347923456000001, 10341848260199260905498286765715581763766, 10341856492162029469128840440894180616550, 8700302643617371724228799334560751927, 13785009860988910449331154314400496142137601, 10341831284004956816213260474096189440120, 13785009860988887849523973076246388208011007], 'label': '15944266600786427904000.a.1395360._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036083
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598601037695124646323692483600848316737, 6227020920, 121645100408832120, 8231691320552374194307526696124847, 21256761539704551755086649689911421763766, 13774086264400628124100020178567428622137600, 10341831284015861222725860898229696681647, 363000, 1307674368120, 10341831284004972327372212862910464000120, 13774086264400605524292838940413320688011006, 13763761799751860823400077292119986724842464, 10341831284004956816162169531924480000126, 10904407583333798904879369889, 355687428096120, 13774086256168914234763150397939777158476232, 10341831284004956816162169531924519916920, 8700302654490755765408320728463109455, 31589934705111976093106737364753145693768, 31589934705101087222743602623265618187441, 10341839515685372987824689212030976000000, 13774086256168925123606585916007535419760041, 13763761791520146901693964108772998159819814, 10341831284004956816162169531924480000121, 5160, 8231680416171662519680106496000000, 13774086264400605524266986924031457598007687, 10333164951410934903685319713297193066881, 8231951460376767966652312027274471, 10333164951704563404710504520930020616550, 8700302654506241174525853699732573481, 13785018553059840146317471094347923456000001, 13795351684041212390142620709378862565099944, 21256769753690152319165715492576173800912, 8700302643617371724228799334560751927, 31589926473420671050922943955599360000001, 10341831284004956816213260474096189440120, 13785018561273837054039088883046328923223702], 'label': '15944266600786427904000.a.1395360._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036084
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [25207863459663151528330496160751927, 6227020920, 121645100408832120, 13763753108211403357335658956200022564842464, 8231691320552374194307526696124847, 10341831284015861222725860898229696681647, 363000, 1307674368120, 10341831284004972327372212862910464000120, 10341831284004956816162169531924480000126, 355687428096120, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 10341831284004956816162169531924519916920, 31589934705111976093106737364753145693768, 31589934705101087222743602623265618187441, 10341839515685372987824689212030976000000, 25207874348532601825384861332573481, 13774094939495385681975559624500295998007687, 10341831284004956816162169531924480000121, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 5160, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 13785018536083668007206693759995882981099944, 31589909497248934691013599072891005763766, 25207874333047192707851890063109455, 13763753116425366743985391408304159759819814, 13774094939495385682001411640882159088011006, 8231951460376767966652312027274471, 13774094947709371700827568733859741318476232, 13785018553059840146317471094347923456000001, 10341856492162029469128840440894180616550, 13774094947709382589671004251927499579760041, 31589926473420671050922943955599360000001, 10341831284004956816213260474096189440120, 13785018561273837054039088883046328923223702], 'label': '15944266600786427904000.a.1395360._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036085
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [8691549310116928679311603555065693768, 13785018553050998384323731392393379840000000, 5041, 10341831284015861222725860898229696681647, 10333173174249604592767089073152464316737, 8231680431682872563011092480000001, 10904407583333798904879369889, 8691549299228058316176862067538187441, 10341831284004956816213260474096189440001, 13785018544306506661384616578058926398007687, 10333156198066561101329171017629696000001, 13785018544306506661410468594440789488011006, 13795343000723582704897936029086710799819814, 13785009860988887849498121059527044581099944, 8708525482256038600148470930349800912, 10341839515685372987824689212030976000000, 13785018536074815371880780051967245958476232, 10341848260188000307651178182314144751927, 13795343008955296626604049212433699364842464, 25207874348532601825384861332573481, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 25207874333047192707851890063109455, 6227020801, 121645100408832001, 362881, 1307674368001, 13795351701017384544790832716658289243223702, 13785018536074826260724215570035004219760041, 8231951460376767966652312027274471, 355687428096001, 8700293813131487041678759178365763766, 16976183027980278966421230377066881, 10341856492162029469128840440894180616550, 10341831284015845685612587884085248000001, 13785018544306529261217649832594897422137600, 10341831284015861196873844159344720041646], 'label': '15944266600786427904000.a.1395360._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036086
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8691540457466064418335919964160000000, 368046, 15537113151012042710359681, 25852017094572405099000, 52846679250927795389646548851752960000000, 121, 13763761774543963858202475099775303680000000, 10341831284004956816162169531924480000000, 10888895353526033217494359681, 8841762019642809635600342359681, 6227388840, 7, 122000787877212840, 5046, 8683326471495067112959401380173701551, 51212942959546373161, 8683317618811886495518194401280000001, 13774086239211057980650684754531246908492801, 1307714652727, 355687468012921, 39921840], 'label': '15944266600786427904000.a.31008._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036087
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785018553050998384323731392393379840000000, 5041, 21256778515887176985517268301667065693768, 13763753108211380740670658966624555835760041, 10341831284015861222725860898229696681647, 13763753108211369851827223448556797574476232, 10333173174249604592767089073152464316737, 8231680431682872563011092480000001, 21265444857605700522340158548398820616550, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 10341831284004956816213260474096189440001, 13774094939495374808617370462065064975819814, 31589909506079420575696149113047200751927, 31589909506090309445146446167412372573481, 13785009860988887849498121059527044581099944, 8708525482256038600148470930349800912, 10341839515685372987824689212030976000000, 13774094947709405206336004241502966308842464, 13774094939495385681975559624500295998007687, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 21265444857312072021314973740765993066881, 121, 31598609799881244931158164104544256000001, 121645100408832001, 6227020801, 13774094939495385682001411640882159088011006, 362881, 1307674368001, 8231951460376767966652312027274471, 355687428096001, 21256778515876288115154133560179538187441, 8700293813131487041678759178365763766, 13774086247415569860961003723571374683223702, 10341831284015845685612587884085248000001, 10341831284015861196873844159344720041646, 31589909506090293959737328634441103109455], 'label': '15944266600786427904000.a.1395360._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036088
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [8691549310116928679311603555065693768, 13785018553050998384323731392393379840000000, 5041, 13763753108211380740670658966624555835760041, 21256761539704551755086649689911421763766, 10341831284015861222725860898229696681647, 13763753108211369851827223448556797574476232, 8231680431682872563011092480000001, 21265444857605700522340158548398820616550, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 8691549299228058316176862067538187441, 10341831284004956816213260474096189440001, 13774094939495374808617370462065064975819814, 31589909506079420575696149113047200751927, 31589909506090309445146446167412372573481, 21256761539693275645978407180657104316737, 10333156198066561101329171017629696000001, 10341839515685372987824689212030976000000, 31598592823698216951144769253481389800912, 13774086256177766870089064105968414181099944, 13774094947709405206336004241502966308842464, 13774094939495385681975559624500295998007687, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 21265444857312072021314973740765993066881, 121, 6227020801, 121645100408832001, 13774094939495385682001411640882159088011006, 362881, 1307674368001, 13795351701017384544790832716658289243223702, 8231951460376767966652312027274471, 355687428096001, 10341831284015845685612587884085248000001, 10341831284015861196873844159344720041646, 31589909506090293959737328634441103109455], 'label': '15944266600786427904000.a.1395360._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036089
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785018553050998384323731392393379840000000, 5041, 21256778515887176985517268301667065693768, 21256761539704551755086649689911421763766, 10341831284015861222725860898229696681647, 8231680431682872563011092480000001, 10904407583333798904879369889, 10341831284004956816213260474096189440001, 13785018544306506661384616578058926398007687, 21256761539693275645978407180657104316737, 13785018544306506661410468594440789488011006, 13795343000723582704897936029086710799819814, 10341839515685372987824689212030976000000, 31598592823698216951144769253481389800912, 13774086256177766870089064105968414181099944, 13785018536074815371880780051967245958476232, 10341848260188000307651178182314144751927, 13795343008955296626604049212433699364842464, 25207874348532601825384861332573481, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 25207874333047192707851890063109455, 6227020801, 31598609799881244931158164104544256000001, 121645100408832001, 362881, 1307674368001, 13785018536074826260724215570035004219760041, 8231951460376767966652312027274471, 21256778515876288115154133560179538187441, 355687428096001, 13774086247415569860961003723571374683223702, 16976183027980278966421230377066881, 10341856492162029469128840440894180616550, 10341831284015845685612587884085248000001, 13785018544306529261217649832594897422137600, 10341831284015861196873844159344720041646], 'label': '15944266600786427904000.a.1395360._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036196
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [44503063807865704115825717098908657847, 8683317629700781849044584620367992750, 8683326471478692728363041993751712415, 5041, 8222849543073276465760882112319065, 7, 8683326471462775591173793514157629214, 10341831284015845685612709886181148770062, 10341831292846718835804979180010958352057, 8222849543073276465760875886911071, 25903229683158464681647, 51090942171709440001, 10333156189235688003478490753130849196927, 8222838669689132861056548864000000, 121, 10333156189235687977039887772248217781633, 10341839515696277368485150895177728000000, 121645100408832001, 10904380660461683146752000000, 6227020801, 10333156198066576612539214348615680000000, 63824014220713302540197335181165231292726, 10341839506843626531147047683072788917329, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 10333156189235687977039887772248217792984, 10333147966397049390238334026340318556841, 8841762020606617692274790206103, 8231691305120917246555455546946151, 39916801, 1313901751800], 'label': '15944266600786427904000.a.1410864._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1410864.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1410864._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036090
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31589909506112893766918566431554062137600, 5041, 16976183043491489008997694479819814, 21256778515887176985517268301667065693768, 21256761539704551755086649689911421763766, 31589934696270214098296180033323008000001, 8683317618827423930191121787483223702, 10333173174249604592767089073152464316737, 8231680431682872563011092480000001, 10904407583333798904879369889, 25207896965197602192344683044842464, 10341831284004956816213260474096189440001, 10341848260188000333666334553276038476232, 31589909506079420575696149113047200751927, 10341848260198889177101852621034299760041, 8708525482256038600148470930349800912, 10341839515685372987824689212030976000000, 25207874348532601825384861332573481, 31598592823709105820380829752503781099944, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 21265444857312072021314973740765993066881, 121, 25207874333047192707851890063109455, 121645100408832001, 6227020801, 31598609799881244931158164104544256000001, 31589909506090293959737328277446128011006, 31589909506090293933885311895583038007687, 362881, 1307674368001, 8231951460376767966652312027274471, 355687428096001, 21256778515876288115154133560179538187441, 10341856492162029469128840440894180616550, 31589934696270229635409453047467456681647, 10341831284015861196873844159344720041646, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036091
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13774094939495374793106160419488600873066881, 21256778515887176985517268301667065693768, 5041, 31589934696270214098296180033323008000001, 13795343008955556734059413690997986020616550, 8683317618827423930191121787483223702, 8231680431682872563011092480000001, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 13763753108211369851801208292185835680751927, 10341831284004956816213260474096189440001, 13785018544306506661410468594797784463109455, 13795343000723582704897936029086710799819814, 10341839515685372987824689212030976000000, 13785009860988876960628884999028022189800912, 13774086256177766870089064105968414181099944, 13785018536074815371880780051967245958476232, 13795343008955296626604049212433699364842464, 13785018544306506676895877712330755732573481, 13774094939495385681975559624500295998007687, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 13774086256177767272839932095437746301763766, 31598609799881244931158164104544256000001, 121645100408832001, 6227020801, 13774094939495385682001411640882159088011006, 362881, 1307674368001, 13785018536074826260724215570035004219760041, 8231951460376767966652312027274471, 13795351692272881932956042976019046864316737, 355687428096001, 21256778515876288115154133560179538187441, 31589934696270229635409453047467456681647, 10341831284015861196873844159344720041646, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036092
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13774086256168936819084759135627631984640126, 13774086247415569845449474073393663586715663, 1313941673647, 8691549310132464670517055393087338166, 7, 8708516651398451209658364905460465982, 8708516640832243084115883689517557161, 5167, 40284847, 13774086264400594844542708887471237471348168, 13774086256168925301755188830291105912421800, 8691540457466064418335919964160000000, 13774094939495375131304598328491127874455081, 13774094930733244827664056965311629239222088, 8700302643601886314989612886534313815, 8691540490954846864456317523749093550, 51090942171709440006, 8683326460589391445385495988417842334, 8700302654667637670594081854520714590, 13774086247424422511798020427991820856887662, 8231680416171662519680106496000000, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 10888895355698718414203598736, 13774094947718213462795293279434934460364217, 121645100408832006, 25852016738884976640006, 16985273297983746733484459600630999, 357001369769641, 8841761993739701954543616000001, 6267305641, 13774086247415603350878159449395880226821161, 368041, 8708525741572527852389437678006824838, 8700302643617371724113530119109897616], 'label': '15944266600786427904000.a.1395360._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036093
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [25207874348532601825384861332573481, 16976183043491489008997694479819814, 10341848260198889177101852621034299760041, 121, 31589909506112893766918566431554062137600, 31589934696270214098296180033323008000001, 21265444857312072021314973740765993066881, 8231951460376767966652312027274471, 1307674368001, 25207896965197602192344683044842464, 121645100408832001, 31589909506079420575696149113047200751927, 6227020801, 8231680416171662519680106496000000, 5041, 13795351692272881932956042976019046864316737, 10341848260188000333666334553276038476232, 31589909506090293959737328277446128011006, 10341831284015861196873844159344720041646, 13774086239201583842109907208602016505693768, 13774086256177767272839932095437746301763766, 31589926482262433044662645910142976000000, 10341839515685372987824689212030976000000, 31589934696270229635409453047467456681647, 10341856492162029469128840440894180616550, 10341831284004956816213260474096189440001, 355687428096001, 13795351701017384544790832716658289243223702, 25207874333047192707851890063109455, 13774086256177766870089064105968414181099944, 8231680431682872563011092480000001, 13785009860988876960628884999028022189800912, 10341831284004956816162169531924480000007, 362881, 10904407583333798904879369889, 31589909506090293933885311895583038007687, 13774086247415569845423569050643988480000001, 13774086239201572953239544073860528978187441], 'label': '15944266600786427904000.a.1395360._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036094
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13763753099449183716031337072233851483223696, 13785018553050998384323731392393379840000000, 5041, 31589934696270214098296180033323008000001, 8231680431682872563011092480000001, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 10341839515696261858397053883249975133768, 10341831284004956816213260474096189440001, 31589909506079420575696149113047200751927, 21265444857312087532473925375058384316743, 13795343000723582704897936029086710799819814, 10341839515685372987982828199590738187440, 10341839515685372987824689212030976000000, 13785018536074815371880780051967245958476232, 13785018544306506661384616577722753535467944, 13795343008955296626604049212433699364842464, 25207874348532601825384861332573481, 13774094939495385681975559624500295998007687, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 21265444857312072021314973740765993066881, 121, 25207874333047192707851890063109455, 6227020801, 121645100408832001, 13774094939495385682001411640882159088011006, 362881, 1307674368001, 13785018536074826260724215570035004219760041, 8231951460376767966652312027274471, 355687428096001, 10341848260199260905498286765715581763766, 10341856492162029469128840440894180616550, 31589934696270229635409453047467456681647, 31589909506079405064649250703392681704912, 10341831284015861196873844159344720041646, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036095
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13763753099449183716031337072233851483223696, 13785018553050998384323731392393379840000000, 5041, 21256761539704551755086649689911421763766, 31589934696270214098296180033323008000001, 13774086256177766885600325617962079035760040, 10333173174249604592767089073152464316737, 8231680431682872563011092480000001, 13763761791528988663687703810727541775819815, 10904407583333798904879369889, 10341839515696261858397053883249975133768, 13785009860988887849498121059864525118007686, 10341831284004956816213260474096189440001, 10333164942569172909945617758753577066880, 31598592823709105846232846828842383109454, 8708525482256038600148470930349800912, 10341839515685372987982828199590738187440, 10341839515685372987824689212030976000000, 13774086256177766870089064105968414181099944, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 13763761799743019061406337590165443108842470, 121645100408832001, 6227020801, 362881, 1307674368001, 8231951460376767966652312027274471, 355687428096001, 21256761539997777505295058706158308616550, 13774086256177755996756890099894320774476112, 13785009860988910449331154314400496142137601, 31598592823709121331641964361813652573480, 8700293801855377984526844790944751926, 31589934696270229635409453047467456681647, 10341831284015861196873844159344720041646, 31589926482262433044662645910142976000000, 13785009860988887849523973076246388208011007], 'label': '15944266600786427904000.a.1395360._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036096
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10333164951410934903685319713297193066881, 13785018553050998384323731392393379840000000, 13785009852766071795153231496674933262137600, 13785009852766049195346050258520825328011006, 8700302654506241174525853699732573481, 8231691305041112938032267264000001, 121, 21256778515876288115154133560179538187441, 13795351684050043278804186405259312774476232, 13785009852766038321962009079703731215819814, 8231951460376767966652312027274471, 31589909497248934691013599072891005763766, 1307674368001, 121645100408832001, 6227020801, 8231680416171662519680106496000000, 5041, 31598609799881244931158164104544256000001, 31589917728918059242572068784642989800912, 10341839515685372987824689212030976000000, 10341839515685372987875780154202685440001, 13774094947718224336153482441888378341099944, 355687428096001, 10904406563691366305216681647, 10333164951704563404710504520930020616550, 8700302654490755765408320728463109455, 10341831284004972327423425807183952041647, 8700302643617371724228799334560751927, 13763761774552805635733649474657233499223702, 13795351684050054167647621923327071035760041, 10341831284004956816162169531924480000007, 21265453080150741710396743100621264316737, 362881, 21256778515887176985517268301667065693768, 10904407583333798904879369889, 10341831284004972327372212862910464000001, 13785009852766049195320198242138962238007687, 13785009860980068719680642859141632548842464], 'label': '15944266600786427904000.a.1395360._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036098
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785009852766071795153231496674933262137600, 10341831284004972327423425807183952041647, 25207863459663151528330496160751927, 5041, 31598601037695124646323692483600848316737, 21256778515887176985517268301667065693768, 13785009852766049195320198242138962238007687, 21256761539704551755086649689911421763766, 13785009869742221334430975576153522176000000, 10904407583333798904879369889, 13774094947718224336153482441888378341099944, 13785009860980068719680642859141632548842464, 10341839515685372987824689212030976000000, 8231691305041112938032267264000001, 10341831284004972327372212862910464000001, 25207874348532601825384861332573481, 10341856491868400968103655633261353066881, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 13763753091226345061853414254508288603223702, 10904406563691366305216681647, 25207874333047192707851890063109455, 31598609799881244931158164104544256000001, 6227020801, 121645100408832001, 362881, 1307674368001, 13785009852766038321962009079703731215819814, 8231951460376767966652312027274471, 21256778515876288115154133560179538187441, 355687428096001, 10341839515685372987875780154202685440001, 13795351684050043278804186405259312774476232, 21256769753690152319165715492576173800912, 10341856492162029469128840440894180616550, 13785009852766049195346050258520825328011006, 13795351684050054167647621923327071035760041], 'label': '15944266600786427904000.a.1395360._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036099
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10341831284004972327423425807183952041647, 5041, 21256778515887176985517268301667065693768, 13785009869742221334430975576153522176000000, 10904407583333798904879369889, 13795343000723593578281977207903804912011006, 13795343000723616178089158446057912846137600, 8700302654490755765408320728463109455, 13795343000723582704897936029086710799819814, 10341839515685372987824689212030976000000, 13774086256177766870089064105968414181099944, 13785018536074815371880780051967245958476232, 8231691305041112938032267264000001, 13795343008955296626604049212433699364842464, 10341831284004972327372212862910464000001, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 13763753091226345061853414254508288603223702, 10904406563691366305216681647, 31589909497248934691013599072891005763766, 31598609799881244931158164104544256000001, 121645100408832001, 6227020801, 362881, 1307674368001, 13785018536074826260724215570035004219760041, 10333164951410934903685319713297193066881, 8231951460376767966652312027274471, 10333164951704563404710504520930020616550, 355687428096001, 21256778515876288115154133560179538187441, 10341839515685372987875780154202685440001, 8700302654506241174525853699732573481, 8700302643617371724228799334560751927, 13795343000723593578256125191521941822007687], 'label': '15944266600786427904000.a.1395360._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036100
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785018553050998384323731392393379840000000, 10341831284004972327423425807183952041647, 25207863459663151528330496160751927, 5041, 10904407583333798904879369889, 13774094947718224336153482441888378341099944, 13795343000723593578281977207903804912011006, 13795343000723616178089158446057912846137600, 31589934705111976093106737364753145693768, 31589934705101087222743602623265618187441, 13795343000723582704897936029086710799819814, 10341839515685372987824689212030976000000, 13785018536074815371880780051967245958476232, 8231691305041112938032267264000001, 13795343008955296626604049212433699364842464, 10341831284004972327372212862910464000001, 25207874348532601825384861332573481, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 10341856491868400968103655633261353066881, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 13763753091226345061853414254508288603223702, 10904406563691366305216681647, 31589909497248934691013599072891005763766, 25207874333047192707851890063109455, 6227020801, 121645100408832001, 362881, 1307674368001, 13785018536074826260724215570035004219760041, 8231951460376767966652312027274471, 355687428096001, 10341839515685372987875780154202685440001, 10341856492162029469128840440894180616550, 31589926473420671050922943955599360000001, 13795343000723593578256125191521941822007687], 'label': '15944266600786427904000.a.1395360._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036101
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785009852766071795153231496674933262137600, 13785018553050998384323731392393379840000000, 10341831284004972327423425807183952041647, 5041, 31598601037695124646323692483600848316737, 13785009852766049195320198242138962238007687, 21256761539704551755086649689911421763766, 10904407583333798904879369889, 13785009860980068719680642859141632548842464, 8700302654490755765408320728463109455, 31589934705111976093106737364753145693768, 31589934705101087222743602623265618187441, 10341839515685372987824689212030976000000, 13774086256177766870089064105968414181099944, 8231691305041112938032267264000001, 10341831284004972327372212862910464000001, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 13763753091226345061853414254508288603223702, 10904406563691366305216681647, 6227020801, 121645100408832001, 362881, 1307674368001, 13785009852766038321962009079703731215819814, 8231951460376767966652312027274471, 10333164951704563404710504520930020616550, 10333164951410934903685319713297193066881, 355687428096001, 8700302654506241174525853699732573481, 10341839515685372987875780154202685440001, 13795351684050043278804186405259312774476232, 21256769753690152319165715492576173800912, 8700302643617371724228799334560751927, 13785009852766049195346050258520825328011006, 31589926473420671050922943955599360000001, 13795351684050054167647621923327071035760041], 'label': '15944266600786427904000.a.1395360._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036102
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785009852766071795153231496674933262137600, 10341831284004972327423425807183952041647, 25207863459663151528330496160751927, 5041, 13785009852766049195320198242138962238007687, 10904407583333798904879369889, 13763761774552805635733649474657233499223702, 13785009860980068719680642859141632548842464, 31589934705111976093106737364753145693768, 31589934705101087222743602623265618187441, 10341839515685372987824689212030976000000, 13774086256177766870089064105968414181099944, 13774086247415569845423569050643988480000001, 8231691305041112938032267264000001, 10341831284004972327372212862910464000001, 25207874348532601825384861332573481, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 10341856491868400968103655633261353066881, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 31589909497248934691013599072891005763766, 25207874333047192707851890063109455, 121645100408832001, 6227020801, 362881, 1307674368001, 13785009852766038321962009079703731215819814, 8231951460376767966652312027274471, 355687428096001, 10341839515685372987875780154202685440001, 13795351684050043278804186405259312774476232, 10341856492162029469128840440894180616550, 13785009852766049195346050258520825328011006, 31589926473420671050922943955599360000001, 13795351684050054167647621923327071035760041], 'label': '15944266600786427904000.a.1395360._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036103
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10333164951410934903685319713297193066881, 13785018553050998384323731392393379840000000, 13785009852766071795153231496674933262137600, 13785009852766049195346050258520825328011006, 25207874348532601825384861332573481, 8708516640494044860446160699305704912, 8231691305041112938032267264000001, 121, 8231951460376767966652312027274471, 1307674368001, 13785018544306506661384616577722753535467944, 121645100408832001, 6227020801, 10341848260199260905498286765715581763766, 8231680416171662519680106496000000, 13785018536074826260724215570035004219760041, 5041, 10341839515685372987982828199590738187440, 8683326460573880235220148944896000000, 10341839515685372987824689212030976000000, 13795343008955296626604049212433699364842464, 10341839515685372987875780154202685440001, 10341856492162029469128840440894180616550, 13795343000723582704897936029086710799819814, 355687428096001, 10904406563691366305216681647, 25207874333047192707851890063109455, 10341831284004972327423425807183952041647, 8700302643617371724228799334560751927, 10333173165407842599027387118608848316743, 10341839515696261858397053883249975133768, 10341831284004956816162169531924480000007, 13785018536074815371880780051967245958476232, 362881, 10904407583333798904879369889, 10341831284004972327372212862910464000001, 13785009852766049195320198242138962238007687, 13795351701026226306784572418612832859223696], 'label': '15944266600786427904000.a.1395360._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036104
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785018553050998384323731392393379840000000, 10341831284004972327423425807183952041647, 5041, 8683326460573880235220148944896000000, 21256761539704551755086649689911421763766, 31589917728918074753618966838610080751926, 13774086256177766885600325617962079035760040, 13763761791528988663687703810727541775819815, 10904407583333798904879369889, 10341839515696261858397053883249975133768, 13774094939486543920007671938927615472011007, 31598592823709105846232846828842383109454, 10341839515685372987982828199590738187440, 10341839515685372987824689212030976000000, 21265453080150726199237791466328873066880, 13774086256177766870089064105968414181099944, 8231691305041112938032267264000001, 10341831284004972327372212862910464000001, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 10341831284004956816162169531924480000007, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13763761799743019061406337590165443108842470, 13774094939486566519814853177081723406137601, 121645100408832001, 6227020801, 13795351701026226306784572418612832859223696, 362881, 1307674368001, 8231951460376767966652312027274471, 355687428096001, 10341839515685372987875780154202685440001, 21256761539997777505295058706158308616550, 13774086256177755996756890099894320774476112, 13774094939486543919981819922545752382007686, 31598592823709121331641964361813652573480], 'label': '15944266600786427904000.a.1395360._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036105
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785009852766071795153231496674933262137600, 8231680416171662519680106496000121, 121645100408832120, 6227020920, 21256778515887176985517268301667065693768, 13785009852766049195320198242138962238007687, 363000, 1307674368120, 13763761799751860823400077292119986724842464, 355687428096120, 10904407583333798904879369889, 10341831284004956816162169531924480000000, 10341839515685388499034732543016960000120, 13774086256168914234763150397939777158476232, 13774094947718213447284246381389355949800912, 13763753116434208505979080019316531664316737, 13774086256168925123606585916007535419760041, 10341839515685372987824689212031015916920, 13763761791520146901693964108772998159819814, 5160, 8231680416171662519680106496000000, 13785018536083668007206693759995882981099944, 10904406563691366305216681647, 31598609799881244931158164104544256000001, 10333147966386160467101324264909403223702, 126, 13763761799752120930855441770684273380616550, 13774086264400605524292838940770315663109455, 10341839515696277368536363839451176124847, 13795351684050043278778171248888350880751927, 8231951460376767966652312027274471, 21256778515876288115154133560179538187441, 13785009852766049195346050258520825328011006, 13785018536083668409957561749465215101763766, 10341831284004956816213260474096189440120, 13785009852766038306450799037127267113066881, 13774086264400605539778248058303286932573481, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036106
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13774086247415569845449474073393663586715663, 1313941673647, 10333164951422000680841727224976440714590, 10333173165418731494380791508027380465982, 8691549310132464670517055393087338166, 10341848269278254799908903016384080630999, 7, 10333164951410950414895246673241029897616, 13763753108211370174488436158959203394455081, 13763753116434208505979131109903009980364217, 5167, 40284847, 10333164951410934929486122756008454313815, 8691540457466064418335919964160000000, 13774094930733244827664056965311629239222088, 10333173174508905571023522580799926824838, 8691540490954846864456317523749093550, 51090942171709440006, 13763761799751827511499537754328115551348168, 8683326460589391445385495988417842334, 13763761791520169486041588002484510064640126, 8231680416171662519680106496000000, 13774086247424422511798020427991820856887662, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 10888895355698718414203598736, 121645100408832006, 25852016738884976640006, 357001369769641, 13763761791520157968712017697147983992421800, 8841761993739701954543616000001, 6267305641, 13774086247415603350878159449395880226821161, 368041, 10333173165408165286255249026811437557161], 'label': '15944266600786427904000.a.1395360._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036107
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13795343000732457972426126394708136484842470, 8231680416171662519680106496000121, 6227020920, 121645100408832120, 363000, 1307674368120, 10904407583333798904879369889, 355687428096120, 10341839515696261858397053883249975133768, 10341831284004956816162169531924480000000, 31589909506079420575696149113047200751927, 10341839515685388499034732543016960000120, 13774094939486543920007671938927615472011007, 21265444857312087532473925375058384316743, 10341839515685372987982828199590738187440, 10341839515685372987824689212031015916920, 25207874348532601825384861332573481, 13795343008946421359075858846812273679819815, 13785018544297664914902138387760567099760040, 5160, 8231680416171662519680106496000000, 21265444857312072021314973740765993066881, 13763753091226345061853414254508288603223702, 13785018536083668007206693759995882981099944, 10904406563691366305216681647, 25207874333047192707851890063109455, 13774094939486566519814853177081723406137601, 126, 13785018544297654026058702869692808838476112, 10341839515696277368536363839451176124847, 8231951460376767966652312027274471, 13785018553059840146317471094347923456000001, 10341848260199260905498286765715581763766, 10341856492162029469128840440894180616550, 13774094939486543919981819922545752382007686, 10341831284004956816213260474096189440120, 31589909506079405064649250703392681704912, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036108
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31598592814867359338388203736277175766184, 13806284507193801311288941007181317987133671, 5046, 7, 13816599770477272841732441833219057830813671, 15537113151012042710359681, 13795351684050054152162372993955690919529016, 13795360901852174612229649797946543767344329, 26584437368972735787432353668436056608, 8841762019642809635600342359681, 10341831284004956816162169531924480000000, 10341831284230847863781941314367736690047, 6227388840, 8691540457466064418335919964160000000, 21265453080150726199774189492497848371217, 51212942959546373161, 1307714652727, 13816608445572063888310625140536306012353158, 122000787877212840, 13795351684068347468324273407920047564220720, 13785027745654108035617754273365562323443488, 10888895353526033217494359681, 121, 13806275305837437640286822988634742151011256, 52846679250927795389646548851752960000000, 355687468012921, 13795369576946954754427869214728863316873726, 13774112815645085324276156581439090448629167, 10341831302331746221200691144745788492801, 13763753091226345046315979581580902400000001, 368046, 13763770984132109188365073089808319972560969, 39921840, 13763753091235197729496597022787881293701551, 13763753091226570937363813445718794529915567, 13806284507193812200158391425515238725738903, 25852017094572405099000], 'label': '15944266600786427904000.a.31008._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31008.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31008._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036109
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [8691549310116928679311603555065693768, 8231680416171662519680106496000121, 121645100408832120, 6227020920, 21256761539704551755086649689911421763766, 13763753108202538963165657752676347365099944, 363000, 1307674368120, 13763761799751860823400077292119986724842464, 21265444857605700522340158548398820616550, 355687428096120, 10904407583333798904879369889, 8691549299228058316176862067538187441, 10341831284004956816162169531924480000000, 31589909506090309445146446167412372573481, 31589909506079420575696149113047200751927, 10341839515685388499034732543016960000120, 13774086256168914234763150397939777158476232, 21256761539693275645978407180657104316737, 31598592823698216951144769253481389800912, 13774086256168925123606585916007535419760041, 10341839515685372987824689212031015916920, 13763761791520146901693964108772998159819814, 13763761791520157775078005287590092272011006, 5160, 8231680416171662519680106496000000, 21265444857312072021314973740765993066881, 10904406563691366305216681647, 126, 10341839515696277368536363839451176124847, 8231951460376767966652312027274471, 13785018553059840146317471094347923456000001, 13763761791520157775052153271208229182007687, 10341831284004956816213260474096189440120, 8691549299228058158037874507776000001, 13795343017708607494898076900418431579223702, 13763761791520180374885186525744200206137600, 31589909506090293959737328634441103109455], 'label': '15944266600786427904000.a.1395360._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036110
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785009852766071795153231496674933262137600, 8691549310116928679311603555065693768, 8231680416171662519680106496000121, 121645100408832120, 6227020920, 13785009852766049195320198242138962238007687, 13785009860980046103015642869566165819760041, 1307674368120, 363000, 10333173174249604592767089073152464316737, 355687428096120, 10904407583333798904879369889, 8691549299228058316176862067538187441, 10341831284004956816162169531924480000000, 10341839515685388499034732543016960000120, 13795351684050076784312621912902537764842464, 8708525482256038600148470930349800912, 10341839515685372987824689212031015916920, 13795351692264040170962354365006674959819814, 10341848260188000307651178182314144751927, 25207874348532601825384861332573481, 5160, 8231680416171662519680106496000000, 13785018536083668007206693759995882981099944, 10904406563691366305216681647, 25207874333047192707851890063109455, 126, 10341839515696277368536363839451176124847, 8231951460376767966652312027274471, 8700293813131487041678759178365763766, 13785018553059840146317471094347923456000001, 16976183027980278966421230377066881, 10341856492162029469128840440894180616550, 13785009852766049195346050258520825328011006, 10341831284004956816213260474096189440120, 13785009860980035214172207351498407558476232, 8691549299228058158037874507776000001, 13795343017708607494898076900418431579223702], 'label': '15944266600786427904000.a.1395360._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036111
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785009852766071795153231496674933262137600, 8231680416171662519680106496000121, 6227020920, 121645100408832120, 13785009852766049195320198242138962238007687, 363000, 1307674368120, 13763761799751860823400077292119986724842464, 10904407583333798904879369889, 355687428096120, 10341839515696261858397053883249975133768, 13774086256168925108095324404015178239467944, 10341831284004956816162169531924480000000, 31589909506079420575696149113047200751927, 10341839515685388499034732543016960000120, 13774086256168914234763150397939777158476232, 21265444857312087532473925375058384316743, 10341839515685372987982828199590738187440, 13774086256168925123606585916007535419760041, 10341839515685372987824689212031015916920, 13763761791520146901693964108772998159819814, 25207874348532601825384861332573481, 5160, 8231680416171662519680106496000000, 21265444857312072021314973740765993066881, 10904406563691366305216681647, 25207874333047192707851890063109455, 13774086239192731191245646232918425600000000, 126, 13795351701026226306784572418612832859223696, 10341839515696277368536363839451176124847, 8231951460376767966652312027274471, 10341848260199260905498286765715581763766, 10341856492162029469128840440894180616550, 13785009852766049195346050258520825328011006, 10341831284004956816213260474096189440120, 31589909506079405064649250703392681704912, 31589926482262433044662645910142976000000], 'label': '15944266600786427904000.a.1395360._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036112
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10888869450418352160768000006, 13785018553050998384323731392393379840000000, 10333147966397033800187925066570489693768, 31598601046547775509564782087376532573481, 5041, 31598592814856454957241923123745577066881, 13774086264400628124100020178567428622137600, 13774086264400605524292838940413320688011006, 13763761799751860823400077292119986724842464, 10904407583333798904879369889, 31598601046547760024155664554405263109455, 10341831284004956816162169531924480000000, 13774094947718224336153482441888378341099944, 21256769762825542813767458079560420616550, 10333147966386144929824790325082962187441, 13774086256168914234763150397939777158476232, 13774086256168925123606585916007535419760041, 51212944273448124847, 51090942171709440001, 8683317618811886495518194401280000001, 13763761791520146901693964108772998159819814, 21256761530851513652289795820980384751927, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 31589909497248934691013599072891005763766, 6227020801, 121645100408832001, 362881, 1307674368001, 13774086264400605524266986924031457598007687, 13795351701017384544790832716658289243223702, 8231951460376767966652312027274471, 355687428096001, 8231691320552374194307526736041641, 10341831284004972327423425807183912124841], 'label': '15944266600786427904000.a.1395360._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036113
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10888869450418352160768000006, 13785018553050998384323731392393379840000000, 5041, 13763753108211403357335658956200022564842464, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 10341831284004956816162169531924480000000, 13774094947718224336153482441888378341099944, 31589909506079420575696149113047200751927, 21265453071319868586158428795309716573481, 51212944273448124847, 51090942171709440001, 31589917728918059242572068784642989800912, 13774094939495385681975559624500295998007687, 21265453080150741710396743100621264316737, 8231680416171662519680106496000000, 10341831292846718810060010474027858187441, 121, 21265444857312072021314973740765993066881, 10904406563691366305216681647, 31589909497248934691013599072891005763766, 6227020801, 121645100408832001, 13763753116425366743985391408304159759819814, 13774094939495385682001411640882159088011006, 362881, 1307674368001, 8841761993739701954543616000001, 8231951460376767966652312027274471, 355687428096001, 10341831292857607680423145215515385693768, 13774094947709371700827568733859741318476232, 31589917720369925749694407462540004616550, 8231691320552374194307526736041641, 13774094947709382589671004251927499579760041, 13785018561273837054039088883046328923223702, 21265453071319853100749311262338447109455, 10341831284004972327423425807183912124841], 'label': '15944266600786427904000.a.1395360._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036114
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10888869450418352160768000006, 10333147966397033800187925066570489693768, 31598601046547775509564782087376532573481, 5041, 13763753108211403357335658956200022564842464, 31598592814856454957241923123745577066881, 13795351709240234087837884552822771136681647, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 31598601046547760024155664554405263109455, 10341831284004956816162169531924480000000, 21256769762825542813767458079560420616550, 10333147966386144929824790325082962187441, 51212944273448124847, 51090942171709440001, 8683317618811886495518194401280000001, 13774086256177766870089064105968414181099944, 21256761530851513652289795820980384751927, 31589917728918059242572068784642989800912, 13774094939495385681975559624500295998007687, 21265453080150741710396743100621264316737, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 31589909497248934691013599072891005763766, 6227020801, 121645100408832001, 13763753116425366743985391408304159759819814, 13774094939495385682001411640882159088011006, 362881, 1307674368001, 8231951460376767966652312027274471, 355687428096001, 13774094947709371700827568733859741318476232, 8231691320552374194307526736041641, 13774094947709382589671004251927499579760041, 13785018561273837054039088883046328923223702, 10341831284004972327423425807183912124841], 'label': '15944266600786427904000.a.1395360._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036115
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10888869450418352160768000006, 5041, 13774086264400628124100020178567428622137600, 13795351709240234087837884552822771136681647, 13774086264400605524292838940413320688011006, 13763761799751860823400077292119986724842464, 10904407583333798904879369889, 10341831284004956816162169531924480000000, 31589909506079420575696149113047200751927, 13774086256168914234763150397939777158476232, 21265453071319868586158428795309716573481, 13774086256168925123606585916007535419760041, 51212944273448124847, 51090942171709440001, 13774086256177766870089064105968414181099944, 13763761791520146901693964108772998159819814, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 8231680416171662519680106496000000, 10341831292846718810060010474027858187441, 10904406563691366305216681647, 121, 21265444857312072021314973740765993066881, 31589909497248934691013599072891005763766, 6227020801, 121645100408832001, 362881, 1307674368001, 13774086264400605524266986924031457598007687, 13795351701017384544790832716658289243223702, 8841761993739701954543616000001, 8231951460376767966652312027274471, 355687428096001, 10341831292857607680423145215515385693768, 31589917720369925749694407462540004616550, 8231691320552374194307526736041641, 21265453071319853100749311262338447109455, 10341831284004972327423425807183912124841], 'label': '15944266600786427904000.a.1395360._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036116
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10333164951410934903685319713297193066881, 10341831284004972327372212862910464000120, 10333147966386160467101324264909403223702, 10341848269041038410448032051245181763766, 1307674368120, 31598601046547775509564782087376532573481, 31589926482262433044662645910142976000126, 121645100408832120, 31598592814856470468451965700209679819814, 6227020920, 5160, 21256778515876288115154133560179538187441, 21256761530851513678304952191942278476232, 31598601046570392174565149047198244842464, 8231951460376767966652312027274471, 21265470047502881055125046890201088000120, 8231680416171662519680106496000000, 355687428096120, 21265470047502896566386303165460560041527, 31598609799881244931158164104544256000001, 31589917728918059242572068784642989800912, 31589926482262433044662645910142976000000, 16985035678843417873049988581099944, 10341831284004956816162169531924480000000, 31598601046547760024155664554405263109455, 10341839515685372987824689212030976000121, 8231691320578226211046411712681647, 21265461833495100001542603709192765440120, 21256769762825542813767458079560420616550, 8700302654490729913391581870398007687, 8700302677090562946646117841422137600, 363000, 8700302643617371724228799334560751927, 21256761530862402521740470259700539760041, 21265453080150741710396743100621264316737, 8700302654490755765407963733488011006, 21256778515887176985517268301667065693768, 10904407583333798904879369889], 'label': '15944266600786427904000.a.1395360._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036117
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [5041, 13785018561282689721977832873078673616928001, 10333147966408777026016675068240162821047, 21265470056344658560125883491649272053345, 13785009877965070877720116273259501349631151, 8691549321812434040467619758620645545, 13795343025931457037919225628900542845302694, 10904380662889294498558742831, 15968836996750831423143616, 10341831284004956816162169531924480000000, 13785009869733673233551300694066411042007391, 13795351701017384545034526657567073237104288, 13763761774543974762583188701916237843024305, 13785018553050998384323783764571915385532720, 51090942171709440001, 8683317618811886495518194401280000001, 13795343025931457037945077645285101804280110, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 21265470056333769716527481860320263627831, 6227020801, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 13795343025931446149075627105287786930930536, 13795351701017384835538190713240971349219193, 362881, 8231691320578175004487753796465983, 1307674368001, 15511210043330985984000001, 10333156198077465507892740738828712740049, 355687428096001, 10904406563691366366137426345, 10341831284004956842065277568728557285838, 31598609791039482937418462150000640000000, 39916801, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036118
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10341839515685372987824689212030976000121, 8231691320578226211046411712681647, 121645100408832120, 6227020920, 31589917728918074753618966838610080751926, 13774086256177766885600325617962079035760040, 363000, 1307674368120, 10341831284004972327372212862910464000120, 31589926482262433044662645910142976000126, 13763761791528988663687703810727541775819815, 10904407583333798904879369889, 355687428096120, 25199032586538862123430317716573480, 10341839515696261858397053883249975133768, 13785009860988887849498121059864525118007686, 10341831284004956816162169531924480000000, 10341839515685372987982828199590738187440, 21265453080150726199237791466328873066880, 13774086256177766870089064105968414181099944, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 5160, 8231680416171662519680106496000000, 13763761799743019061406337590165443108842470, 13774086239192731191245646232918425600000000, 10341856483331156344839556838511332616550, 13795351701026226306784572418612832859223696, 8231951460376767966652312027274471, 21265461833495100001542603709192765440120, 21265470047502881055125046890201088000120, 10341848269041038410448032051245181763766, 13774086256177755996756890099894320774476112, 13785009860988910449331154314400496142137601, 25199032571053453005897346447109454, 21265470047502896566386303165460560041527, 31589926482262433044662645910142976000000, 13785009860988887849523973076246388208011007], 'label': '15944266600786427904000.a.1395360._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036119
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [17901128602796227016325952980452560969, 42540099285075076859456943794816867133671, 5046, 7, 13816599770477272841732441833219057830813671, 10359732641578932138099817583750928629167, 13785018536074826260724701133979656375766184, 15537113151012042710359681, 21265444875616277078627175001621964220720, 13795360901852174612229649797946543767344329, 8841762019642809635600342359681, 10341831284004956816162169531924480000000, 21265444857322960916726761037265319529016, 10341831284230847863781941314367736690047, 6227388840, 8691540457466064418335919964160000000, 51212942959546373161, 1307714652727, 13816608445572063888310625140536306012353158, 122000787877212840, 13795351692272881917445420422410923448371217, 13785027745654108035617754273365562323443488, 10888895353526033217494359681, 121, 13806275305837437640286822988634742151011256, 52846679250927795389646548851752960000000, 355687468012921, 13795369576946954754427869214728863316873726, 13763779667440875364873844196209007956056608, 10341831302331746221200691144745788492801, 13763753091226345046315979581580902400000001, 368046, 39921840, 13763753091235197729496597022787881293701551, 13763753091226570937363813445718794529915567, 42540099285085965728907362128737605738903, 25852017094572405099000], 'label': '15944266600786427904000.a.31008._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31008.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31008._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036120
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [5041, 13785018561282689721977832873078673616928001, 13785018561273837344786446879629011029219193, 13795343025931457037919225628900542845302694, 10904380662889294498558742831, 15968836996750831423143616, 13795343017708618368471860106871461669631151, 10341831284004956816162169531924480000000, 13763761774543974762583188701916237843024305, 13785018553050998384323783764571915385532720, 8222861238553805247470813724645545, 51090942171709440001, 10341839506854515400648556978686376740049, 13795343025931457037945077645285101804280110, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 25852016738884976640001, 121645100408832001, 13774086239192731191245646232918425600000000, 13795343025922898032658890163129497122007391, 13795343025931446149075627105287786930930536, 8231691320578175004487753796465983, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 10341831292869350906251895217185058821047, 31598609799892149311869717103609592053345, 13785018561273837054282782823955112917104288, 10904406563691366366137426345, 10341831284004956842065277568728557285838, 31598609791039482937418462150000640000000, 39916801, 31598609799881260468271315472280583627831, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036121
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 21265444857345560723747433288432142137600, 5041, 8700302654490729913391581870398007687, 10341831284015861222725860898229696681647, 8231680431682872563011092480000001, 10904407583333798904879369889, 10341831292846734347336544413854299223702, 21265453071342485251158795755131428842464, 21265453071319868586158428795309716573481, 10341839515685372987824689212030976000000, 51090942171709440001, 21265444857322960916566195134324208011006, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 10341839515685388499085945487290448041647, 8231680416171662519680106496000000, 10341831292846718810060010474027858187441, 121, 31589909497248934691013599072891005763766, 6227020801, 121645100408832001, 8231680416171662519680106496000007, 10333173165407842599078478060780559819814, 362881, 1307674368001, 8708516640509581922500941315718476232, 10333164951410934903685319713297193066881, 8841761993739701954543616000001, 355687428096001, 10341831292857607680423145215515385693768, 31589917720369925749694407462540004616550, 31589909497248531940145609603558885099944, 10341831284015845685612587884085248000001, 8708516651398425358019009073979760041, 8700302643617371724228799334560751927, 31598609791039482937418462150000640000000, 21265453071319853100749311262338447109455], 'label': '15944266600786427904000.a.1395360._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036122
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13774094947709382589671004251927499579760041, 8841761993739701954543616000001, 13795351684041212792893488698848194685763766, 13785009860988876976139880806487122384316737, 13785009860980068719680642859141632548842464, 10341831292846718810060010474027858187441, 10341839515685388499085945487290448041647, 5041, 10341831284015845685612587884085248000001, 121, 10341831292846734347336544413854299223702, 8231680416171662519680106496000007, 13785009852766071795153231496674933262137600, 355687428096001, 31598609791039482937418462150000640000000, 10341831284015861222725860898229696681647, 13774094947709371700827568733859741318476232, 13774094939495374808617370461717760160751927, 13763753116425366743985391408304159759819814, 13795351692272881917445047168559946669800912, 362881, 10341831292857607680423145215515385693768, 13774094939495385681975559624500295998007687, 10904407583333798904879369889, 13795351692264333783952169507237843684616550, 1307674368001, 8231680431682872563011092480000001, 13785009860980046103015642492181810836573481, 13785009860980046087530233374648839567109455, 6227020801, 13785009852766049195346050258520825328011006, 13795351684041212390142620709378862565099944, 121645100408832001, 10341839515685372987824689212030976000000, 8231680416171662519680106496000000, 13763753108211369836289998249956676393066881, 51090942171709440001], 'label': '15944266600786427904000.a.1395360._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036123
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13785009852766071795153231496674933262137600, 5041, 10341831284015861222725860898229696681647, 8231680431682872563011092480000001, 10904407583333798904879369889, 13795351684050054152136360411334713855467944, 10341831284004956816320308519484242187440, 13763761774552805635733649474657233499223702, 13785009860980068719680642859141632548842464, 10341839515685372987824689212030976000000, 51090942171709440001, 21265453080161630579898130749853332573480, 31589917729222576612884527769244388616550, 31589917728918059242572068784642989800912, 13774094939495385681975559624500295998007687, 21265453080150741710396743100621264316737, 10341839515685388499085945487290448041647, 8231680416171662519680106496000000, 121, 10333173174249589081608137438860073066880, 31589909497248934691013599072891005763766, 6227020801, 121645100408832001, 8231680416171662519680106496000007, 13763753116425366743985391408304159759819814, 10341831284015845686734534203143479133768, 362881, 1307674368001, 8708525482271549647046524897440751926, 21265453080161615094489013216882063109454, 355687428096001, 13774094947709371700827568733859741318476232, 10341831284015845685612587884085248000001, 13785009852766049195346050258520825328011006, 31598609791039482937418462150000640000000, 13774094947709382589671004251927499579760041, 13774086239201572953239385934872969216000001], 'label': '15944266600786427904000.a.1395360._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036124
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785009869742232238837488176222015724280110, 5041, 8691549321812434040467619758620645545, 10333147966408777026016675068240162821047, 13785018561273837344786446879629011029219193, 10904380662889294498558742831, 15968836996750831423143616, 13795343017708618368471860106871461669631151, 10341831284004956816162169531924480000000, 13763761774543974762583188701916237843024305, 51090942171709440001, 8683317618811886495518194401280000001, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 25852016738884976640001, 121645100408832001, 13774086239192731191245646232918425600000000, 13795343025922898032658890163129497122007391, 8231691320578175004487753796465983, 1307674368001, 362881, 15511210043330985984000001, 13785009869742232238811636159837456765302694, 10333156198077465507892740738828712740049, 355687428096001, 13785009869742221349968037636224700850930536, 13795351709240223183431373233635001465532720, 31598609799892149311869717103609592053345, 13785018561273837054282782823955112917104288, 13795351701026237212729576706690633936928001, 10904406563691366366137426345, 10341831284004956842065277568728557285838, 39916801, 31598609799881260468271315472280583627831, 31589926482262433044662645910142976000000, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036125
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13785009852766071795153231496674933262137600, 31589909506090681173543257696448637763766, 5041, 10341831284015861222725860898229696681647, 31589917720076297248832366474411945704912, 8231680431682872563011092480000001, 10904407583333798904879369889, 13795351684050054152136360411334713855467944, 10341831284004956816320308519484242187440, 21265453071308979716657041146077648316743, 13785009860980068719680642859141632548842464, 21265453071319868586158428795309716573481, 10341839515685372987824689212030976000000, 51090942171709440001, 13774094939495385681975559624500295998007687, 10341839515685388499085945487290448041647, 8231680416171662519680106496000000, 121, 13774086239192731191245646232918425600000000, 121645100408832001, 6227020801, 8231680416171662519680106496000007, 13763753116425366743985391408304159759819814, 10341831284015845686734534203143479133768, 362881, 1307674368001, 10333164951410934903685319713297193066881, 355687428096001, 13774094947709371700827568733859741318476232, 31589917720369925749694407462540004616550, 10341831284015845685612587884085248000001, 8700302643617371724228799334560751927, 13785009852766049195346050258520825328011006, 31598609791039482937418462150000640000000, 13763761774543963873739909772702689883223696, 13774094947709382589671004251927499579760041, 21265453071319853100749311262338447109455], 'label': '15944266600786427904000.a.1395360._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036126
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13774094939486543935493081434201936699760040, 5041, 13785009852757207433352310556566281712011007, 10341831284015861222725860898229696681647, 8231680431682872563011092480000001, 10904407583333798904879369889, 10341831284004956816320308519484242187440, 10341839515685372987824689212030976000000, 51090942171709440001, 21265453080161630579898130749853332573480, 31589917729222576612884527769244388616550, 13763753108202528089807468590578596879819815, 31589917728918059242572068784642989800912, 13774094939486533046649645916134178438476112, 21265453080150741710396743100621264316737, 10341839515685388499085945487290448041647, 8231680416171662519680106496000000, 121, 10333173174249589081608137438860073066880, 31589909497248934691013599072891005763766, 13774086239192731191245646232918425600000000, 6227020801, 121645100408832001, 8231680416171662519680106496000007, 10341831284015845686734534203143479133768, 13774094947718224336153482442225858878007686, 362881, 1307674368001, 8708525482271549647046524897440751926, 21265453080161615094489013216882063109454, 355687428096001, 13785009860988910481674382561096176164842470, 13795351684041212390142620709378862565099944, 10341831284015845685612587884085248000001, 31598609791039482937418462150000640000000, 13763761774543963873739909772702689883223696, 13785009852757230033159491794720389646137601], 'label': '15944266600786427904000.a.1395360._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036127
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 10341839515685372987824689212030976000007, 25207863459663151528330496160751927, 31598601046547775509564782087376532573481, 5041, 31598601037695124646323692483600848316737, 21256761539704551755086649689911421763766, 10904407583333798904879369889, 31598601046547760024155664554405263109455, 25207874333021340691113031998007687, 10341831284004956816213260474096189440001, 16976183043517504165021351558476232, 10341831284004956816162169531924480000000, 21256769762825542813767458079560420616550, 10341831292846734347336544413854299223702, 31598592814889943659674382671411726137600, 16976193932360939683089109819760041, 10341831284004972327372212862910464000001, 31598601046570392174565149047198244842464, 10341848260188000307651178529618959819814, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 10341831292846718810060010474027858187441, 10904406563691366305216681647, 121, 21256761539704149004218660220579301099944, 6227020801, 10904380660461683146752000000, 121645100408832001, 362881, 1307674368001, 8841761993739701954543616000001, 355687428096001, 10341831292857607680423145215515385693768, 21256769753690152319165715492576173800912, 31598609791039482937418462150000640000000, 10341839515696261857326320508465232041647, 31598592814867343852493144517303792011006], 'label': '15944266600786427904000.a.1395360._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036128
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 8841761993739701954543616000001, 13795343008955274009939048845473877652573481, 13763761799751827302354416585876640553066881, 13763761791520146901693964108772998159819814, 10341831292846718810060010474027858187441, 13774086264400594650908797761248921760751927, 5041, 121, 10341831292846734347336544413854299223702, 13785018536083668409957561749465215101763766, 13795343008946421359075807755870101968316737, 355687428096001, 31598609791039482937418462150000640000000, 13774086256168914234763150397939777158476232, 13774086264400605524266986924031457598007687, 13785018544297654010521640815267879853800912, 13785018536083668007206693759995882981099944, 362881, 10341831292857607680423145215515385693768, 10904407583333798904879369889, 10341831284004972327372212862910464000001, 1307674368001, 13795343000723593578281977207903804912011006, 13795343008955273994453639727940906383109455, 10904406563691366305216681647, 10341839515685372987824689212030976000007, 6227020801, 13785018544306789401016242557854864100616550, 10341839515696261857326320508465232041647, 13795343008955296626604049212433699364842464, 13795343000723616178089158446057912846137600, 121645100408832001, 10341831284004956816213260474096189440001, 10904380660461683146752000000, 8231680416171662519680106496000000, 10341831284004956816162169531924480000000, 13774086256168925123606585916007535419760041], 'label': '15944266600786427904000.a.1395360._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036129
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13785009869742232238837488176222015724280110, 5041, 13785009877965070877720116273259501349631151, 21265470056344658560125883491649272053345, 10904380662889294498558742831, 15968836996750831423143616, 10341831284004956816162169531924480000000, 13785009869733673233551300694066411042007391, 13795351701017384545034526657567073237104288, 13763761774543974762583188701916237843024305, 8222861238553805247470813724645545, 51090942171709440001, 10341839506854515400648556978686376740049, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 21265470056333769716527481860320263627831, 6227020801, 25852016738884976640001, 121645100408832001, 13774086239192731191245646232918425600000000, 13795351701017384835538190713240971349219193, 1307674368001, 362881, 8231691320578175004487753796465983, 15511210043330985984000001, 13785009869742232238811636159837456765302694, 8841761993739701954543616000001, 355687428096001, 13785009869742221349968037636224700850930536, 13795351709240223183431373233635001465532720, 10341831292869350906251895217185058821047, 13795351701026237212729576706690633936928001, 10904406563691366366137426345, 10341831284004956842065277568728557285838, 39916801, 31589926482262433044662645910142976000000, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036130
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31598592814867359338388203736277175766184, 17901128602796227016325952980452560969, 42540099285075076859456943794816867133671, 5046, 7, 21283337754223563182222981810437716873726, 10359732641578932138099817583750928629167, 21274662659443420984003565028118167344329, 21265444875616277078627175001621964220720, 15537113151012042710359681, 26584437368972735787432353668436056608, 8683326471495067112959401380173701551, 8841762019642809635600342359681, 10341831284004956816162169531924480000000, 21265444857322960916726761037265319529016, 52855362568557496172568376680966492353158, 52846671028089141238539433912592550813671, 10341831284230847863781941314367736690047, 8683317844702934329382332293409915567, 6227388840, 8691540457466064418335919964160000000, 21265453080150726199774189492497848371217, 51212942959546373161, 1307714652727, 122000787877212840, 42522206388253939792920589328276871011256, 8683317618811886495518194401280000001, 31607802394149134231441343122183123443488, 10888895353526033217494359681, 121, 52846679250927795389646548851752960000000, 355687468012921, 10341831302331746221200691144745788492801, 368046, 39921840, 42540099285085965728907362128737605738903, 25852017094572405099000], 'label': '15944266600786427904000.a.31008._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31008.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31008._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036131
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 10341839515685372987824689212030976000007, 25207863459663151528330496160751927, 31598601046547775509564782087376532573481, 5041, 10904407583333798904879369889, 31598601046547760024155664554405263109455, 10341831284004956816213260474096189440001, 10341831284004956816320308519484242187440, 10341831284004956816162169531924480000000, 21256769762825542813767458079560420616550, 13795343000723593578281977207903804912011006, 13774086256168914234763150397939777158476232, 13795343000723616178089158446057912846137600, 13774086256168925123606585916007535419760041, 13763761791520146901693964108772998159819814, 13795343008955296626604049212433699364842464, 10341831284004972327372212862910464000001, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 121645100408832001, 6227020801, 31598601046536886640063394438144464316743, 21256769762531914312905417091432361704912, 10341831284015845686734534203143479133768, 362881, 1307674368001, 13774086264400605524266986924031457598007687, 355687428096001, 21256761530862774250136904404381821763766, 31598609791039482937418462150000640000000, 10341839515696261857326320508465232041647, 13763761774543963873739909772702689883223696, 13785018536074826245212954058042647039467944], 'label': '15944266600786427904000.a.1395360._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036132
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 10341839515685372987824689212030976000007, 5041, 31598601037695124646323692483600848316737, 13795343000732457940082898148012456462137601, 21256761539704551755086649689911421763766, 31598601037705998030415962599861647109454, 21256769753994669689478174477177572616550, 10904407583333798904879369889, 16985024805485228710604933280751926, 10341831284004956816213260474096189440001, 13774086264391763777784508733733098299760040, 10341831284004956816320308519484242187440, 10341831284004956816162169531924480000000, 31598601037706013515825080132832916573480, 13795343000732435340275716909858348528011007, 13774086264391752888941073215665340038476112, 13795343008946454864610309510479155748842470, 10341831284004972327372212862910464000001, 13774086256177766870089064106305894718007686, 8231680416171662519680106496000000, 121, 13785018536083668007206693759995882981099944, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 121645100408832001, 6227020801, 13763761799742985555871886926498561039819815, 10341831284015845686734534203143479133768, 362881, 1307674368001, 10341848269029746790180837907698473066880, 355687428096001, 21256769753690152319165715492576173800912, 31598609791039482937418462150000640000000, 10341839515696261857326320508465232041647, 13763761774543963873739909772702689883223696], 'label': '15944266600786427904000.a.1395360._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036133
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13785009852766071795153231496674933262137600, 15511261256275259432124846, 5041, 31598601037695124646323692483600848316737, 21256761539704551755086649689911421763766, 7, 31598601037705998030415962599861647109454, 21256769753994669689478174477177572616550, 10904407583333798904879369889, 13795351684050054152136360411334713855467944, 16985024805485228710604933280751926, 10341831284004956816320308519484242187440, 10341831284004956816162169531924480000000, 31598601037706013515825080132832916573480, 13785009860980068719680642859141632548842464, 13774094939495385681975559624500295998007687, 8231680416171662519680106496000000, 121, 13763753091226345061853414254508288603223702, 10904406563691366305216681647, 6227020801, 121645100408832001, 13763753116425366743985391408304159759819814, 10904380711674627420200124847, 13774094922510350003132141751112826880000001, 10341831284015845686734534203143479133768, 362881, 1307674368001, 10341848269029746790180837907698473066880, 355687428096001, 13774094947709371700827568733859741318476232, 21256769753690152319165715492576173800912, 13785009852766049195346050258520825328011006, 31598609791039482937418462150000640000000, 13774094947709382589671004251927499579760041, 8231691305041112938032267303916800, 8231680416171713610622278205440001], 'label': '15944266600786427904000.a.1395360._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036134
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13774086247415569845449474073393663586715663, 1313941673647, 10333147975227922434616518639110337842334, 10333156198077465507841650198515007338166, 10341848269278254799908903016384080630999, 7, 8708516651398451209658364905460465982, 8708516640832243084115883689517557161, 5167, 40284847, 13774094939495375131304598328491127874455081, 8700302643601886314989612886534313815, 51090942171709440006, 13763761799751827511499537754328115551348168, 8700302654667637670594081854520714590, 13763761791520169486041588002484510064640126, 8231680416171662519680106496000000, 13774086247424422511798020427991820856887662, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 10888895355698718414203598736, 13774094947718213462795293279434934460364217, 121645100408832006, 25852016738884976640006, 357001369769641, 13763761791520157968712017697147983992421800, 8841761993739701954543616000001, 10333156189224799107589469063086080000000, 6267305641, 13774086247415603350878159449395880226821161, 368041, 8708525741572527852389437678006824838, 13763753099449239870847894795779704759222088, 8700302643617371724113530119109897616, 10333156189258287890035589460645669093550], 'label': '15944266600786427904000.a.1395360._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036135
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13774086256168936819084759135627631984640126, 13774086247415569845449474073393663586715663, 1313941673647, 10333164951422000680841727224976440714590, 10333147975227922434616518639110337842334, 10333173165418731494380791508027380465982, 10333156198077465507841650198515007338166, 7, 10333164951410950414895246673241029897616, 13763753108211370174488436158959203394455081, 13763753116434208505979131109903009980364217, 5167, 40284847, 13774086264400594844542708887471237471348168, 10333164951410934929486122756008454313815, 13774086256168925301755188830291105912421800, 10333173174508905571023522580799926824838, 51090942171709440006, 13774086247424422511798020427991820856887662, 8231680416171662519680106496000000, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 10888895355698718414203598736, 121645100408832006, 25852016738884976640006, 16985273297983746733484459600630999, 357001369769641, 10333156189224799107589469063086080000000, 8841761993739701954543616000001, 6267305641, 13774086247415603350878159449395880226821161, 368041, 10333173165408165286255249026811437557161, 13763753099449239870847894795779704759222088, 10333156189258287890035589460645669093550], 'label': '15944266600786427904000.a.1395360._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036136
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [1313941673647, 13774086247424445112871899151350423842821160, 10341848269278254799908903016384080630999, 7, 13763761799742996622889940514872239198053800, 10333173174249589107408940481571334313814, 13763753116434208505979131109903009980364217, 8708516640832243084115883689517557161, 5167, 40284847, 8700302902918349929571712115126824958, 13763761791528988857321614936602552671348169, 13763753116434208828666358976684766274455080, 8691540457466064418335919964160000000, 13763761799743008140219510820210072944640127, 8691540468370470930815100849471338167, 8691540490954846864456317523749093550, 51090942171709440006, 8683326460589391445385495988417842334, 10333164942580077316457973782464500465976, 10341831292846718809901871486468096000001, 10341831292857607705257570203574625230736, 13774086247424422511798020427991820856887662, 8231680416171662519680106496000000, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 13763761782766802512406302940250541666715663, 121645100408832006, 25852016738884976640006, 10333173174260654858764544594851892618590, 357001369769641, 10333173174249604592818064043116481801616, 6267305641, 368041, 13763753099458081632841634498089935803318088], 'label': '15944266600786427904000.a.1395360._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036137
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [1313941673647, 10333164951422000680841727224976440714590, 10333173165418731494380791508027380465982, 13774086247424445112871899151350423842821160, 8700293802178065161298158126637557160, 7, 10333164951410950414895246673241029897616, 13763753108211370174488436158959203394455081, 5167, 40284847, 10333164951410934929486122756008454313815, 8691540457466064418335919964160000000, 8691540468370470930815100849471338167, 10341856492116908977831720741946960631119, 8691540490954846864456317523749093550, 51090942171709440006, 13763761799751827511499537754328115551348168, 13763753108211369851801208292177447100364097, 8683326460589391445385495988417842334, 10341831292846718809901871486468096000001, 10341831292857607705257570203574625230736, 13763761791520169486041588002484510064640126, 8231680416171662519680106496000000, 13774086247424422511798020427991820856887662, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 13763761782766802512406302940250541666715663, 121645100408832006, 25852016738884976640006, 357001369769641, 13763761791520157968712017697147983992421800, 6267305641, 368041, 8708525741572527852389437678006824838, 13763753099458081632841634498089935803318088], 'label': '15944266600786427904000.a.1395360._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036138
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [1313941673647, 8691549310132464670517055393087338166, 13774086247424445112871899151350423842821160, 7, 10333173174249589107408940481571334313814, 13763753116434208505979131109903009980364217, 8708516640832243084115883689517557161, 5167, 40284847, 8700302902918349929571712115126824958, 13763753116434208828666358976684766274455080, 10341856492116908977831720741946960631119, 51090942171709440006, 13763761799751827511499537754328115551348168, 10333164942580077316457973782464500465976, 10341831292846718809901871486468096000001, 10341831292857607705257570203574625230736, 13763761791520169486041588002484510064640126, 8231680416171662519680106496000000, 13774086247424422511798020427991820856887662, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 13763761782766802512406302940250541666715663, 121645100408832006, 25852016738884976640006, 10333173174260654858764544594851892618590, 357001369769641, 10333173174249604592818064043116481801616, 13763761791520157968712017697147983992421800, 8683317618827397705683541444801842335, 6267305641, 8691549332716840604158272067365093544, 368041, 13763753099449239870847894795779704759222088, 8691549299228058158037874507776000001], 'label': '15944266600786427904000.a.1395360._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036139
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [1313941673647, 10333164951422000680841727224976440714590, 10333173165418731494380791508027380465982, 8691549310132464670517055393087338166, 13774086247424445112871899151350423842821160, 8700293802178065161298158126637557160, 10341848269278254799908903016384080630999, 7, 10333164951410950414895246673241029897616, 13763761799742996622889940514872239198053800, 13763753108211370174488436158959203394455081, 5167, 40284847, 10333164951410934929486122756008454313815, 13763761791528988857321614936602552671348169, 13763761799743008140219510820210072944640127, 51090942171709440006, 13763753108211369851801208292177447100364097, 10341831292857607705257570203574625230736, 10341831292846718809901871486468096000001, 13774086247424422511798020427991820856887662, 8231680416171662519680106496000000, 10888895353526033217454080006, 121, 10904406563691366305216681647, 13774086239192731191245646232918425600000000, 13763761782766802512406302940250541666715663, 121645100408832006, 25852016738884976640006, 357001369769641, 8683317618827397705683541444801842335, 6267305641, 8691549332716840604158272067365093544, 368041, 8708525741572527852389437678006824838, 13763753099449239870847894795779704759222088, 8691549299228058158037874507776000001], 'label': '15944266600786427904000.a.1395360._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036205
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [44511286646504344976583017103360000000, 10386826684266585486826988762942912681647, 10333147966386144929666651337529466942640, 10341831284015861222782074494075688088744, 8691549310116927608456226668544000000, 121, 25217325871704303820431556608000000, 5160, 10333190150432632572994841441201569111800, 39921966, 10333190150432632598846736534992363582640, 8852650863190120306704384000000, 7, 10359724199220653033627924612166328382640, 17901138054334884127438532640768000000, 10888869450418352160768000001, 122000787876849966, 355687468017841, 10341831292857655507831258588392193207807, 13774086239192731191245646232918425600000000, 10341839506854499863535405609648128000000, 8222849543047373236077723648000000, 51212587272118272000], 'label': '15944266600786427904000.a.1627920._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036140
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [21256778515887176985517268301667065693768, 6227020920, 121645100408832120, 13763753108211403357335658956200022564842464, 8231691320552374194307526696124847, 10341831284015861222725860898229696681647, 363000, 1307674368120, 10341831284004972327372212862910464000120, 10341831284004956816162169531924480000126, 10904407583333798904879369889, 355687428096120, 13774094939495408281808592879036267022137600, 10341831284004956816162169531924519916920, 8700302654490755765408320728463109455, 10341839515685372987824689212030976000000, 31589917728918059242572068784642989800912, 13774094939495385681975559624500295998007687, 10341831284004956816162169531924480000121, 21265453080150741710396743100621264316737, 5160, 8231680416171662519680106496000000, 31589909497248934691013599072891005763766, 31598609799881244931158164104544256000001, 13774086239192731191245646232918425600000000, 13763753116425366743985391408304159759819814, 13774094939495385682001411640882159088011006, 10333164951410934903685319713297193066881, 8231951460376767966652312027274471, 10333164951704563404710504520930020616550, 21256778515876288115154133560179538187441, 13774094947709371700827568733859741318476232, 8700302654506241174525853699732573481, 13795351684041212390142620709378862565099944, 8700302643617371724228799334560751927, 13774094947709382589671004251927499579760041, 10341831284004956816213260474096189440120, 13785018561273837054039088883046328923223702], 'label': '15944266600786427904000.a.1395360._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036141
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763770992354947842542995907533882852560968, 31598592814867359338388203736277175766184, 31616485720609708111889633147960916873727, 10359724418740277960176999858188048629166, 52846679250927795416462251638155430813665, 5046, 13816608453794902542488496867319697182913158, 7, 13774086239211057980650684754531246908492801, 13763761774543963858202475099775303680000000, 13785027753885788467299983146609020567344328, 42522214611092593970843407053839751016296, 15537113151012042710359681, 13795360893620494180547420924703085523443489, 8841762019642809635600342359681, 10341831284004956816162169531924480000000, 225891047782773195720420475567, 6227388840, 8691540457466064418335919964160000000, 21265453080150726199774189492497848371217, 51212942959546373161, 1307714652727, 122000787877212840, 10888895353526033217494359681, 121, 13785018536101961323394606756582524364220721, 52846679250927795389646548851752960000000, 13785018536083668007232706220973067310697016, 355687468012921, 13763779667440875364873844196209007956056608, 42531415967456264972961425601723261501671, 368046, 39921840, 42531415967467153842411843934336325738897, 13774086239192957082293266004700868856690047, 8852683180617441206978893701545, 25852017094572405099000], 'label': '15944266600786427904000.a.31008._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31008.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31008._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036142
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [25207863459663151528330496160751927, 121645100408832120, 6227020920, 31598601037695124646323692483600848316737, 21256778515887176985517268301667065693768, 8231691320552374194307526696124847, 21256761539704551755086649689911421763766, 13774086264400628124100020178567428622137600, 10341831284015861222725860898229696681647, 10341831284004972327372212862910464000120, 1307674368120, 363000, 13774086264400605524292838940413320688011006, 10341831284004956816162169531924480000126, 13763761799751860823400077292119986724842464, 355687428096120, 10904407583333798904879369889, 13774086256168914234763150397939777158476232, 10341831284004956816162169531924519916920, 10341839515685372987824689212030976000000, 13774086256168925123606585916007535419760041, 13763761791520146901693964108772998159819814, 25207874348532601825384861332573481, 10341831284004956816162169531924480000121, 5160, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 13785018536083668007206693759995882981099944, 25207874333047192707851890063109455, 13774086239192731191245646232918425600000000, 31598609799881244931158164104544256000001, 13774086264400605524266986924031457598007687, 8231951460376767966652312027274471, 21256778515876288115154133560179538187441, 21256769753690152319165715492576173800912, 10341856492162029469128840440894180616550, 10341831284004956816213260474096189440120, 13785018561273837054039088883046328923223702], 'label': '15944266600786427904000.a.1395360._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036143
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [25207863459663151528330496160751927, 21256778515887176985517268301667065693768, 6227020920, 31598601037695124646323692483600848316737, 121645100408832120, 13763753108211403357335658956200022564842464, 8231691320552374194307526696124847, 21256761539704551755086649689911421763766, 10341831284015861222725860898229696681647, 363000, 1307674368120, 10341831284004972327372212862910464000120, 10341831284004956816162169531924480000126, 355687428096120, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 13774094922519191765125881453067370496000000, 10341831284004956816162169531924519916920, 10341839515685372987824689212030976000000, 25207874348532601825384861332573481, 13774094939495385681975559624500295998007687, 10341831284004956816162169531924480000121, 5160, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 25207874333047192707851890063109455, 31598609799881244931158164104544256000001, 13763753116425366743985391408304159759819814, 13774094939495385682001411640882159088011006, 13795351701017384544790832716658289243223702, 8231951460376767966652312027274471, 21256778515876288115154133560179538187441, 13774094947709371700827568733859741318476232, 13795351684041212390142620709378862565099944, 21256769753690152319165715492576173800912, 10341856492162029469128840440894180616550, 13774094947709382589671004251927499579760041, 10341831284004956816213260474096189440120], 'label': '15944266600786427904000.a.1395360._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036144
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [121645100408832120, 6227020920, 21256778515887176985517268301667065693768, 8231691320552374194307526696124847, 13774086264400628124100020178567428622137600, 10341831284015861222725860898229696681647, 10341831284004972327372212862910464000120, 1307674368120, 363000, 13774086264400605524292838940413320688011006, 10341831284004956816162169531924480000126, 13763761799751860823400077292119986724842464, 355687428096120, 10904407583333798904879369889, 13774094922519191765125881453067370496000000, 13774086256168914234763150397939777158476232, 10341831284004956816162169531924519916920, 8700302654490755765408320728463109455, 10341839515685372987824689212030976000000, 13774086256168925123606585916007535419760041, 13763761791520146901693964108772998159819814, 31589917728918059242572068784642989800912, 10341831284004956816162169531924480000121, 21265453080150741710396743100621264316737, 5160, 8231680416171662519680106496000000, 13785018536083668007206693759995882981099944, 31589909497248934691013599072891005763766, 31598609799881244931158164104544256000001, 13774086264400605524266986924031457598007687, 13795351701017384544790832716658289243223702, 10333164951410934903685319713297193066881, 8231951460376767966652312027274471, 10333164951704563404710504520930020616550, 21256778515876288115154133560179538187441, 8700302654506241174525853699732573481, 8700302643617371724228799334560751927, 10341831284004956816213260474096189440120], 'label': '15944266600786427904000.a.1395360._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036145
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [113160110579467781138503794685246407967088041, 5041, 13763753091235187002429406672906990342494087, 7, 113160119262785388238185862666708059073900927, 15537113151012048897503568, 13763753091235197697179220917105557257113592, 113149786123041840731948760037818884217946193, 10341839506843610994086780678161970313894, 113149777439724233615542844392277826650453470, 15537113273012836774313647, 42099042788065933260223071659040944824745536, 113160110579467758521918654705202364416000000, 51090942171709440001, 8683317618811886495518194401280000001, 25853677574602947125166, 10341839506843837377089267866423488305280, 121, 10904406563691366305216681647, 28345614169720047658600150418941268954097966, 113149777439724211046678174438751561301832881, 25852016738884976640001, 6227020801, 10333156189224831910585104361985660119368, 362881, 15511210043330985984000001, 13763761774552816524602727402153974751221742, 10333156189224799107589469063086080000000, 355687428096001, 13774086247424411607417308752598532096000000, 126913539214259333304769080622136420727563808, 13774094930742030435380545197678347251850160, 113160110579467758537455716765629236748824278, 39916801, 8683317629700755946058198549846655857, 10904406563691009384360283751, 113149777439724221935547571455274338684933471, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036146
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13763761782766802527917459977927738892824398, 13763761782766802512380397917500866560000001, 13774094922510350018643405196628883677000881, 5041, 13763753091235187002429406672906990342494087, 7, 10888869450540004148566292977, 10333156189225025490593749672022208305281, 15537113151012048897503568, 13763753091235197697179220917105557257113592, 84824829574168649551814983982250963640745542, 98578249509196939732507859081472234458097966, 10333156189224799107591262483760690313895, 13774086247424411623494049679483945971850161, 15537113273012836774313647, 51090942171709440001, 13763761782766813416761110360812159937900927, 25853677574602947125166, 13763761782766825128965537897544910111088040, 121, 10904406563691366305216681647, 6227020801, 25852016738884976640001, 126923872362234561034299052622703230976000001, 10341831292846896203336224211724663563808, 10333156189224831910585104361985660119368, 362881, 15511210043330985984000001, 10333156189224799107589469063086080000000, 355687428096001, 13774086247424411607417308752598532096000000, 13774094922510372587508075271800249434453464, 39916801, 13774094922510360892027495399146905721946193, 13774094922510360907512802334796761468933465, 13763753091235197712716231883959573471221622, 10904406563691009384360283751, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036147
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [5041, 13763753091235187002429406672906990342494087, 7, 15537113151012048897503568, 113160110587681755414102837820973383680000000, 13763753091235197697179220917105557257113592, 10341839506843610994086780678161970313894, 10341839506854515374797430568780737900927, 15537113273012836774313647, 126913530522727728327711531326812048832681647, 8683317629700781849166228480121946193, 51090942171709440001, 13763761774552805797589649154455103863563808, 10333156189247415692729449107129631088041, 8683317618811886495518194401280000001, 25853677574602947125166, 10341839506843837377089267866423488305280, 121, 84824838249263441405001781371377800154097966, 6227020801, 25852016738884976640001, 15511263567161157205832881, 98578249517419766691207557210539799224745536, 10333156189224831910585104361985660119368, 10333156189224814644651529489958412824278, 362881, 15511210043330985984000001, 13763761774552816524602727402153974751221742, 10333156189224799107589469063086080000000, 355687428096001, 13774086247424411607417308752598532096000000, 13774094930742030435380545197678347251850160, 39916801, 8683317629700755946058198549846655857, 10904406563691009384360283751, 22584375933520687422554453470, 10904380660583683934588933471, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036148
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13763761782766802527917459977927738892824398, 13774094922510350018643405196628883677000881, 5041, 13763753091235187002429406672906990342494087, 7, 10888869450540004148566292977, 10333156189225025490593749672022208305281, 15537113151012048897503568, 113160110587681755414102837820973383680000000, 13763753091235197697179220917105557257113592, 98588591348712613410017459082026267320745542, 84814505101288213498078375018085733338097966, 10333156189224799107591262483760690313895, 13774086247424411623494049679483945971850161, 15537113273012836774313647, 126913530522727728327711531326812048832681647, 51090942171709440001, 13763761782766813416761110360812159937900927, 25853677574602947125166, 13763761782766825128965537897544910111088040, 121, 6227020801, 25852016738884976640001, 13774094922510350003132141751112826880000001, 10341831292846896203336224211724663563808, 10333156189224831910585104361985660119368, 362881, 15511210043330985984000001, 10333156189224799107589469063086080000000, 355687428096001, 13774086247424411607417308752598532096000000, 13774094922510372587508075271800249434453464, 39916801, 13774094922510360892027495399146905721946193, 13774094922510360907512802334796761468933465, 13763753091235197712716231883959573471221622, 10904406563691009384360283751, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036149
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13806302400082051764099320349755887489424047, 5046, 8683326460573880235220148944896000000, 13827559178597758217871371581664914125315241, 10341831284015861222725860898229696681647, 13837901009881763158718799198063253958645758, 10341839515685373013676705950915952640006, 13827559186811755496811842788343978770133465, 13827567861906546979536883210971630377124480, 13827567870138204779097553733511806976000000, 10341831284015845711464731899104318979631, 13806311083408331986523815236363887444982065, 8231680431708775792694250944681641, 51090942171709440006, 8231680416171662519680106496000000, 10333156189235703514102069487293920394009, 6227020806, 121645100408832006, 8691540457821040866574487950872554470, 31598609799881260468220346194750758051495, 13827567861906524378437152348461853315855654, 10333156189247383483471898451341822186464, 1307674368006, 362886, 15511210043330985984000006, 31598618013878137115341279875563520000001, 10333156189224799107589469063086080000000, 31589934705214170606126663109529378589648, 355687428096006, 13827559178597747328570248670604673362930150, 10333147975227906923406353292066816000007, 21265461824653353544865083470934422725328, 13816644239597567286801317618264477911205167, 13816644231365886886115015174692075495557544, 39916806], 'label': '15944266600786427904000.a.1395360._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036150
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [121645100408832120, 6227020920, 21256778515887176985517268301667065693768, 8700302654490729913391581870398007687, 8231691320552374194307526696124847, 8683326460573880235220148944896000000, 21256761539704551755086649689911421763766, 10341831284015861222725860898229696681647, 10341831284004972327372212862910464000120, 1307674368120, 363000, 10341831284004956816162169531924480000126, 355687428096120, 10904407583333798904879369889, 8700302677090562946646117841422137600, 16976183043517504165021351558476232, 31589926473420686588357616882985563223702, 10341831284004956816162169531924519916920, 16976193932360939683089109819760041, 10341839515685372987824689212030976000000, 8700302654490755765407963733488011006, 25207874348532601825384861332573481, 10341831284004956816162169531924480000121, 31589917728918059242572068784642989800912, 10341848260188000307651178529618959819814, 21265453080150741710396743100621264316737, 5160, 8231680416171662519680106496000000, 21256761539704149004218660220579301099944, 25207874333047192707851890063109455, 31598609799881244931158164104544256000001, 10333164951410934903685319713297193066881, 8231951460376767966652312027274471, 21256778515876288115154133560179538187441, 10341856491901922013764361876607524842464, 10341856492162029469128840440894180616550, 8700302643617371724228799334560751927, 10341831284004956816213260474096189440120], 'label': '15944266600786427904000.a.1395360._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036151
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [21256778515887176985517268301667065693768, 6227020920, 121645100408832120, 8683326460573880235220148944896000000, 8231691320552374194307526696124847, 10341831284015861222725860898229696681647, 363000, 1307674368120, 10341831284004972327372212862910464000120, 13763761799751860823400077292119986724842464, 10341831284004956816162169531924480000126, 355687428096120, 10904407583333798904879369889, 13774094939495408281808592879036267022137600, 31589926473420686588357616882985563223702, 13795351692272881917445047168559946669800912, 13774086256168914234763150397939777158476232, 10341831284004956816162169531924519916920, 10341839515685372987824689212030976000000, 13774086256168925123606585916007535419760041, 13763761791520146901693964108772998159819814, 10341831284004956816162169531924480000121, 13774094939495385681975559624500295998007687, 5160, 8231680416171662519680106496000000, 13785018536083668007206693759995882981099944, 31598609799881244931158164104544256000001, 13774094939495385682001411640882159088011006, 13763761799752120930855441770684273380616550, 13774086264400605524292838940770315663109455, 8231951460376767966652312027274471, 21256778515876288115154133560179538187441, 13774094939495374808617370461717760160751927, 13785018536083668409957561749465215101763766, 13785009860988876976139880806487122384316737, 13763753108211369836289998249956676393066881, 10341831284004956816213260474096189440120, 13774086264400605539778248058303286932573481], 'label': '15944266600786427904000.a.1395360._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036152
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [31616485720609708111889633147960916873727, 42540099285075076859456943794816867133671, 21265444848481214408721552398753976129064, 13763779675663714019051767013934570875973408, 52846679250927795416462251638155430813665, 5046, 13816608453794902542488496867319697182913158, 7, 13774086239211057980650684754531246908492801, 31598601046536871129440840830021048371223, 13763761774543963858202475099775303680000000, 10359732641578932138099817583750928629167, 42522214611092593970843407053839751016296, 13785027753885788467299983146609020567344328, 15537113151012042710359681, 13795351684050054152162372993955690919529016, 13795360893620494180547420924703085523443489, 8841762019642809635600342359681, 10341831284004956816162169531924480000000, 225891047782773195720420475567, 6227388840, 8691540457466064418335919964160000000, 1307714652727, 51212942959546373161, 122000787877212840, 13795351684068347468324273407920047564220720, 10888895353526033217494359681, 121, 52846679250927795389646548851752960000000, 355687468012921, 368046, 13763770984132109188365073089808319972560969, 39921840, 13774086239192957082293266004700868856690047, 42540099285085965728907362128737605738903, 8852683180617441206978893701545, 25852017094572405099000], 'label': '15944266600786427904000.a.31008._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31008.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31008._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036153
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [25207863459663151528330496160751927, 121645100408832120, 6227020920, 8231691320552374194307526696124847, 13774086264400628124100020178567428622137600, 10341831284015861222725860898229696681647, 363000, 1307674368120, 10341831284004972327372212862910464000120, 13774086264400605524292838940413320688011006, 10341831284004956816162169531924480000126, 13763761799751860823400077292119986724842464, 355687428096120, 10904407583333798904879369889, 13774086256168914234763150397939777158476232, 10341831284004956816162169531924519916920, 31589934705111976093106737364753145693768, 31589934705101087222743602623265618187441, 10341839515685372987824689212030976000000, 13774086256168925123606585916007535419760041, 13763761791520146901693964108772998159819814, 25207874348532601825384861332573481, 10341831284004956816162169531924480000121, 31589917728918059242572068784642989800912, 21265453080150741710396743100621264316737, 5160, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 31589909497248934691013599072891005763766, 25207874333047192707851890063109455, 13774086239192731191245646232918425600000000, 13774086264400605524266986924031457598007687, 13795351701017384544790832716658289243223702, 8231951460376767966652312027274471, 13795351684041212390142620709378862565099944, 10341856492162029469128840440894180616550, 31589926473420671050922943955599360000001, 10341831284004956816213260474096189440120], 'label': '15944266600786427904000.a.1395360._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036154
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [31598601037695124646323692483600848316737, 6227020920, 121645100408832120, 13763753108211403357335658956200022564842464, 8231691320552374194307526696124847, 21256761539704551755086649689911421763766, 10341831284015861222725860898229696681647, 363000, 1307674368120, 10341831284004972327372212862910464000120, 10341831284004956816162169531924480000126, 10904407583333798904879369889, 355687428096120, 13774094939495408281808592879036267022137600, 10341831284004956816162169531924519916920, 8700302654490755765408320728463109455, 31589934705111976093106737364753145693768, 31589934705101087222743602623265618187441, 10341839515685372987824689212030976000000, 10341831284004956816162169531924480000121, 13774094939495385681975559624500295998007687, 5160, 8231680416171662519680106496000000, 13785018536083668007206693759995882981099944, 13774086239192731191245646232918425600000000, 13763753116425366743985391408304159759819814, 13774094939495385682001411640882159088011006, 13795351701017384544790832716658289243223702, 10333164951410934903685319713297193066881, 8231951460376767966652312027274471, 10333164951704563404710504520930020616550, 13774094947709371700827568733859741318476232, 8700302654506241174525853699732573481, 21256769753690152319165715492576173800912, 8700302643617371724228799334560751927, 13774094947709382589671004251927499579760041, 31589926473420671050922943955599360000001, 10341831284004956816213260474096189440120], 'label': '15944266600786427904000.a.1395360._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036155
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13763753091226367662926971578720832297124481, 5041, 8683326460573880235220148944896000000, 7, 10341839515685388524886871303545152419495, 21256786738714942292918812298182656000000, 13763761774552816509091568327763071191205167, 74147918646565816516026522156307992554470, 13816635556271106728863965056155380429315240, 10341839515685372987824689212030976000000, 15537113272658456980668727, 51090942171709440001, 52882465044863861093290489975230242589649, 13795343017708618368230143858430532038645638, 13763761774552805620196214801729847296000001, 21256786738725831188221374665362494979631, 121, 10904406563691366305216681647, 10333156189235703514102069487293920394009, 6227020801, 25852016738884976640001, 52882465044750777709749290501406720000000, 1307674368001, 362881, 13816635556271107100109043103732439826133465, 15511210043330985984000001, 10333156189247383483471898451341822186464, 13816635556271096211751169485278028628982065, 355687428096001, 13774086247415750584604749997380652929424047, 13837901009872910523366818999799376515860694, 39916801, 13827559186820596871591771817458333671557544, 13837892326564133473499915321942196562930144, 42557992181986568019508314245722518725329], 'label': '15944266600786427904000.a.1395360._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036156
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13763753091226367662926971578720832297124481, 5041, 13785018553059851035212824620381147351205167, 7, 10341839515685388524886871303545152419495, 13795343025922785110726006289998729089424047, 74147918646565816516026522156307992554470, 13816635556271106728863965056155380429315240, 21265461833495100001491512767021056000000, 10341839515685372987824689212030976000000, 15537113272658456980668727, 51090942171709440001, 52882465044863861093290489975230242589649, 13795343017708618368230143858430532038645638, 31589934696270229635358362105370080394009, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 25852016738884976640001, 6227020801, 8231691305066965082047286334979631, 13816635548057098947378659029324120402930144, 1307674368001, 52882465044750777709749290501406720000000, 362881, 13816635556271107100109043103732439826133465, 15511210043330985984000001, 13816635556271096211751169485278028628982065, 355687428096001, 13785018553059840146317471094347923456000001, 31589934696281909604728191069417982186464, 13837901009872910523366818999799376515860694, 39916801, 13827559186820596871591771817458333671557544, 42557992181986568019508314245722518725329], 'label': '15944266600786427904000.a.1395360._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036157
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [63814770689021094140764606863798678725329, 5041, 13785009869733402189048227871338908457124481, 7, 74139243551785303831005583119482880000000, 10341839515685388524886871303545152419495, 13763761774552816509091568327763071191205167, 13816635556271106728863965056155380429315240, 21265461833495100001491512767021056000000, 10341839515685372987824689212030976000000, 15537113272658456980668727, 51090942171709440001, 13763761774552805620196214801729847296000001, 31589934696270229635358362105370080394009, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 25852016738884976640001, 6227020801, 8231691305066965082047286334979631, 13816635548057098947378659029324120402930144, 1307674368001, 362881, 13816635556271107100109043103732439826133465, 15511210043330985984000001, 52891140139531290394770229538231832554470, 355687428096001, 13816635556271096211751169485278028628982065, 13774086247415750584604749997380652929424047, 13774086239201583842108887565812455878645638, 31589934696281909604728191069417982186464, 13837901009872910523366818999799376515860694, 39916801, 13827559186820596871591771817458333671557544, 74139243551898387214546782593306402589649], 'label': '15944266600786427904000.a.1395360._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036158
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [5041, 13785009869733402189048227871338908457124481, 7, 13837892334778141626230299396350515986133465, 10341839515685388524886871303545152419495, 21256786738714942292918812298182656000000, 13763761774552816509091568327763071191205167, 21265461833495100001491512767021056000000, 10341839515685372987824689212030976000000, 15537113272658456980668727, 51090942171709440001, 52882465044863861093290489975230242589649, 13795343017708618368230143858430532038645638, 13763761774552805620196214801729847296000001, 21256786738725831188221374665362494979631, 31589934696270229635358362105370080394009, 121, 10904406563691366305216681647, 25852016738884976640001, 6227020801, 13837892334778141254985221348773456589315240, 13816635548057098947378659029324120402930144, 1307674368001, 52882465044750777709749290501406720000000, 362881, 15511210043330985984000001, 52891140139531290394770229538231832554470, 355687428096001, 13837892334778130737872425777896104788982065, 13774086247415750584604749997380652929424047, 31589934696281909604728191069417982186464, 13837901009872910523366818999799376515860694, 39916801, 13827559186820596871591771817458333671557544, 42557992181986568019508314245722518725329], 'label': '15944266600786427904000.a.1395360._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036159
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [52891157124769921012637054209870931364070, 13795351684050043263266961084280404999624240, 5041, 8231680416171662641325206904832001, 7, 8231703032782654516820036393124480, 21265470047491992185674628538040320000000, 10341831284004972327372213218597892096000, 13837901009872921412236218326859271056062761, 13785009852766060906283781078322766267484727, 10341831284004956842014186272117131376046, 52891165338552633113535512529662916522097, 13816635548057098947352807012230942459760848, 63814753703996288655535896267248011376063, 74139218353023164059549374440890436580601, 13806311083408331598798374623168167936000001, 10341839515685372987824689212030976000000, 13785009860980046087530233495945333715946886, 13795351684050043278803974102904212613135303, 21265461833505988896794069860168579241647, 13816635556271096114475492360343089030422095, 8231680416171662519680106496000000, 121, 10341831284027541192044598920180222186464, 6227020801, 13795351692264051059857656678453922216740185, 13827559178588905566550605741230776823251615, 362881, 1307674368001, 63814753703996288655536021681253804945960, 42549325840561672956787737816498275208937, 31589926482262433044662646267144345769646, 13774086256168914219225874107288616989691728, 39916801, 13837901009872910620236681659871509689247569, 13806311083408354231272496195988244317796070, 13837901018104601828433732985272203478024839, 21265461833506004408055204133326272681647, 13837901018104590939564282444920575959141246], 'label': '15944266600786427904000.a.1395360._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036160
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [63806070395219238762780080027390347376063, 5041, 8231680416171662641325206904832001, 7, 8231703032782654516820036393124480, 21265470047491992185674628538040320000000, 42558009149327834005946043466576836522097, 10341831284004972327372213218597892096000, 13837901009872921412236218326859271056062761, 10341831284004956842014186272117131376046, 13816635548057098947352807012230942459760848, 13785018544306495788052230269292252293135303, 13806311083408331598798374623168167936000001, 10341839515685372987824689212030976000000, 21265461833505988896794069860168579241647, 13816635556271096114475492360343089030422095, 8231680416171662519680106496000000, 121, 10341831284027541192044598920180222186464, 6227020801, 52882482029786472064377206879584355208937, 74147901679483737939784594589835332580601, 13827559178588905566550605741230776823251615, 362881, 1307674368001, 13785018544306495772515217250668444679624240, 13774094939495374793106109327437561885691728, 31589926482262433044662646267144345769646, 63806070395219238762780205441396140945960, 13795343008955285705391370547385852347484727, 39916801, 13837901009872910620236681659871509689247569, 13806311083408354231272496195988244317796070, 42558017381222430260893220597910611364070, 13837901018104601828433732985272203478024839, 13785018536074826260750067209390836136740185, 21265461833506004408055204133326272681647, 13795343000723593578281977329557294035946886, 13837901018104590939564282444920575959141246], 'label': '15944266600786427904000.a.1395360._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036422
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [8231691305066964955126839711457937, 10904380660462038834220387343, 13774094922519202653995383084008117633229751, 8683326460573880235220148944896000000, 7, 13774086247415580734318922577042637563910382, 15537062060069870960640000, 13891329488398820229230149804455211693824006, 10341831292857623216414350276667288611326, 8841777504949745285529600000000, 356995102464000, 8231691305066964954771152240663351, 10333147966386144955518668076408176640000, 13774094930733188672821276149863302906812727, 122000794063948801, 10888895302435091045744640000, 5160, 121, 10333147966386160440876816670645232626417, 6227020801, 362881, 1307674368001, 10341839506843611020095520722646111676727, 13763753091226345046315979581580902400000001, 10904380660462038834220381145, 8222849543047373236077723648000000, 39916801, 8683317618811912347657690097735171624, 52873289444970121447803151173519326188806, 51090942177936460800], 'label': '15944266600786427904000.a.2418624._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2418624.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2418624._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036161
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10341839515685372987824689567718404096001, 10341848260187984796390043902115869691728, 5041, 13806311100384728822398949984453250131364070, 7, 13837892326564144362369314649352239318024839, 8231680431708724701752079235241647, 13816635565033292864202433970734923875208937, 31598592814867359363754279147456936740185, 8231703032782654516820036393124480, 13816635548057098947352807012230942459760848, 31598601046536886665917339048873093135303, 13806311108598511534499848442773042116522097, 13827567844939183096965255179802694027376063, 13837892309588209972369268657976336452580601, 13806311083408331598798374623168167936000001, 13827567844939183096965255305216699820945960, 10341839515685372987824689212030976000000, 13837892334778141254527645626390432656062761, 31598601046536871128904320425065479624240, 21256761530862387036331096638868435946886, 13816635556271096114475492360343089030422095, 8231680416171662519680106496000000, 121, 10341831284027541192044598920180222186464, 6227020801, 121645100408832001, 10341839515696277394388380578336192681647, 21256769762554514145724314467426747484727, 362881, 1307674368001, 21256778507034526121256292618076160000000, 13837892334778130462528108959402671289247569, 39916801, 13827567870129363032615024077150740983251615, 13837892326564133473499864109000611799141246, 10341839515685373013676705950915952640001, 13806311083408354231272496195988244317796070, 10888895302557093147523241647], 'label': '15944266600786427904000.a.1395360._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036162
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10341839515685372987824689567718404096001, 5041, 21265444857312072021314851361979399624240, 7, 13837892326564144362369314649352239318024839, 8231680431708724701752079235241647, 8231703032782654516820036393124480, 13816635548057098947352807012230942459760848, 31589909506102004897468148079387067484727, 13806311083408331598798374623168167936000001, 10333164951410934903634227662258205691728, 10341839515685372987824689212030976000000, 13837892334778141254527645626390432656062761, 31589917720087186143920565701954515946886, 13816635556271096114475492360343089030422095, 21265453071319868612010445535496616740185, 8231680416171662519680106496000000, 121, 13837900992896987022262024474216194116580601, 13806302425289745373450690137122963555208937, 10341831284027541192044598920180222186464, 6227020801, 121645100408832001, 10341839515696277394388380578336192681647, 362881, 1307674368001, 21256778507034526121256292618076160000000, 13827559161612722523085020085067754924945960, 13837892334778130462528108959402671289247569, 13816644256573953621506539453516336211364070, 39916801, 13827567870129363032615024077150740983251615, 13837892326564133473499864109000611799141246, 10341839515685373013676705950915952640001, 13806311083408354231272496195988244317796070, 13827559161612722523085019959653749131376063, 10888895302557093147523241647, 21265444857312087558327869985787013135303, 13816644248342059025251592276385002436522097], 'label': '15944266600786427904000.a.1395360._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036163
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 171, 'diagramx': None, 'generators': [8222838654203774956109554842038705, 42035505315048718949965530368924536369231128, 28281852560222250737537911423419870624748801, 7, 8734264483796363246418172859148984367, 1313901388800, 28281834675548188789425285148655820755292841, 15537062060069870960640000, 122000787836928000, 28281825992230559104206400640966355209452806, 28281825984007720434625656629243386841251078, 8222849590930177622822610656976288, 8222838654177922817725562880000001, 13774086239219899774961800686086891955715630, 8231680431708775671054737526693528, 356995102464000, 42035254618808136801942526176034660936920550, 6266937600, 13774086239192731384988048135778479214856896, 40279680, 42035245935490518005593143931605009114257143, 8691549299243595271310888652224681647, 5160, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 126, 367920, 42035254618808136801942361383464628488863009, 8231691305066965979908330207560545, 8841761993739701954543616000001, 28281834675548177916092896021350709050244553, 28281870716177186970202831418849717080277334, 42035361984961266216928260748601219774479927, 13774112840606294080831004154427107481406767, 28281834675548188804936443210361469806959065, 51212587272118272000, 25903107681056686080000, 13774345626817939372454570562005534902511400, 42035254695475698638170189021251158862802248, 42035245927258848462753439271985124427945663], 'label': '15944266600786427904000.a.342._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '342.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '342._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036164
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31008, 'diagramx': None, 'generators': [5041, 7, 42035272503473367892441694573394597971020800, 42088110491183838206255763833937566269440120, 98588573430616737148623756112595777192789344, 70317098487481088326933111481092348055090230, 98609839410142194879785406814734222214287953, 13795369585169793408605205703445670904504729, 98578258175547205582955496048493232550537889, 98588573430607838474732440054819709850147545, 52873255465468987331546964261194113186144, 356995102464000, 9135406032842358775512297475057, 42513523061702996282057079788666880000000, 25852016738885016556800, 13774094930733188657310064568838389760000000, 21274654436728609627769607309098145041137, 121, 28281843885118628817835598899351388160000000, 6227020801, 121645100408832001, 42035272503473367876930537792538932692261632, 70349252294575871751911875598022082560000000, 362881, 1307674368001, 98599488369086365447713206939802195144830646, 84835761845851892757184091955124938132249311, 70317098487472257438323462767254817066094935, 21274654436615655676231834686208890030696, 13795369585169793408604884181512099923020800, 84824829557183624761840965436630505555020800, 84846077101030969109250538110748873852836065, 42077768141979656047091076840707264905322464, 39916801, 32343228368340780471453671, 13774094930751504557845703763041222010295806, 70328004216371480827676934295371266460652943, 31598601037695109135164739758640535664409, 42045587758569977593396394482901922690878767], 'label': '15944266600786427904000.a.31008._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31008.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31008._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036165
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [22616610991997139929897124480, 5041, 7, 31589909497486312073348373472780784453046, 13837892326564144362369314649352239318024839, 21265470047491992185674628538040320000000, 13837892317810822557377673730235689989196920, 13837892309579108683500095728889615130917161, 13806302408313551731539565410960109446422095, 13827567861915366140456692975857489879141246, 13827567853162021751117326102433171328489910, 10888869501509295646419108606, 10341839515707957363707118600286718186464, 16985228081187751615166136761808425, 10904380711674627420240036607, 10341839515685372987824689212030976000000, 13827567870129373921484474493247310736062761, 13827567844930352223815167141563027073557256, 31589909497248547451406747981774181937287, 8231680416171662519680106496000000, 121, 6227020801, 31589909497248547451406865857969205305616, 13827567853162032655523838580874724457720447, 13806302400081871024918139403019223040000001, 10341839515696277394388380578336192681647, 13816644231365898614208423145371223901796070, 10341839515685388499034732543016960005040, 362881, 1307674368001, 10341839515685372987875780154202685440001, 13837892334778130462528108959402671289247569, 13816644256564908568299015712720390839237535, 16985024789999870684378176893112902, 121645106676132487, 39916801, 13827567870129363032615024077150740983251615, 25199032571027652848781789988762302, 13816644231365875997245562828470800123760848], 'label': '15944266600786427904000.a.1395360._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036166
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [22616610991997139929897124480, 8708525482256064289020298141053112902, 21256761539704164515479916474989621305616, 5041, 7, 8700293812728736225549250628388762302, 13837892326564144362369314649352239318024839, 21265470047491992185674628538040320000000, 13837901001119577038459765530257704041720447, 8708525685547252169951086100921808425, 13806302408313551731539565410960109446422095, 13827567861915366140456692975857489879141246, 13827559169835594650454267376943623173196920, 10888869501509295646419108606, 10341839515707957363707118600286718186464, 10904380711674627420240036607, 10341839515685372987824689212030976000000, 13827567870129373921484474493247310736062761, 13827559161621564300564168779506635546917161, 8231680416171662519680106496000000, 121, 13837901001119566134053253051816150912489910, 6227020801, 13806302400081871024918139403019223040000001, 10341839515696277394388380578336192681647, 13816644231365898614208423145371223901796070, 10341839515685388499034732543016960005040, 362881, 1307674368001, 21256761539704164515479798598794597937287, 10341839515685372987875780154202685440001, 13837892334778130462528108959402671289247569, 13837900992905580130738573494855093889557256, 121645106676132487, 21256761539941929137421424089801200453046, 39916801, 13827567870129363032615024077150740983251615, 13816644231365875997245562828470800123760848, 13816635565024451102234597376800426679237535], 'label': '15944266600786427904000.a.1395360._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036167
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13806311083408342503204938314534473152681646, 13816635548057132437699810933124324550442025, 13763753116434208490493773083684642173112902, 5041, 63814761926845847214119297339278441720447, 7, 10341839515696277394388258933235783849646, 10341839515696277368536363839451216041646, 13837892326564144362369314649352239318024839, 13827567870129363017129717261244707020164486, 13816635548057098947352807012230942459760848, 74139226575635749067954446700243973196920, 63814753712848939492927261936668289557256, 10341839515696277394337289636164483241646, 21256786738714942292918812298182656000000, 13785009852757445213459661303716159984453046, 13763753108202538963165709612637129508762302, 10341839515685372987824689212030976000000, 13806311091622339685787180641795673673538208, 52882482020944710096540612945087159237535, 74139218361616272561897271369255891946886, 13785009852757196544482860263629434284945960, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 10341831284004972353275442546068928681646, 6227020801, 362881, 63814761926834942807606818897725312489910, 1307674368001, 13837892334778130462528108959402671289247569, 13827567861915377013789132547081437825806641, 13785009852757196544482860138215428491376063, 13763753116434411781681654014472602041808425, 39916801, 13827567870129363032615024077150740983251615, 10341839515718861770270809966579480816431, 33520965851654314462420997167, 10341839515685388499034732543016960000001], 'label': '15944266600786427904000.a.1395360._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036168
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [13806311083408342503204938314534473152681646, 13816635548057132437699810933124324550442025, 5041, 13763761791528999552557103016153481315208937, 74147909902073754137576620265884072740185, 7, 10341839515696277394388258933235783849646, 10341839515696277368536363839451216041646, 13837892326564144362369314649352239318024839, 13795343000732435355761126031517220197937287, 13827567870129363017129717261244707020164486, 13816635548057098947352807012230942459760848, 13795343000732435355761126149393415221305616, 10341839515696277394337289636164483241646, 21256786738714942292918812298182656000000, 10341839515685372987824689212030976000000, 13806311091622339685787180641795673673538208, 74147909902062849731064141863386119624240, 74147901670382449096414640807087237135303, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13763761791529202843796790163014929491364070, 10341831284004972353275442546068928681646, 6227020801, 63806070386377492254449495971189530917161, 52891157115713963398549865340436509691728, 362881, 1307674368001, 63806078618080492747884135905747387484727, 13837892334778130462528108959402671289247569, 13827567861915377013789132547081437825806641, 13795343000732683993767108836538015812580601, 13763761799742985555897688621334721476522097, 39916801, 13827567870129363032615024077150740983251615, 10341839515718861770270809966579480816431, 33520965851654314462420997167, 10341839515685388499034732543016960000001], 'label': '15944266600786427904000.a.1395360._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036169
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [21265470047502881081028278835851112099409, 22616610991997139929897124480, 74139243551785416212129377821768889242529, 13785009852766049210831459380179696997937286, 7, 13785009852766049210831459498055892021305622, 1307674368120, 363000, 21265470047491992185674628538040320000000, 13837901001119577038459765530257704041720447, 13763761799752030593568149532667003361725225, 21265461833505988870993144062214785806640, 13827559161621823827439602006637505578212601, 13785009860980057798467964194093785531484727, 10341831284015845711464604978744440298015, 10341839515707957363707118600286718186464, 10341839515685372987824689212030976000000, 10341831284004956816162291177024888832001, 13795351684050043278803974102904212613135303, 8231691610976285422536592969538209, 21265470047491992211577858225483980164487, 355687468012800, 13827559161621564300564168779506635546917161, 31589926482262433044713736853682362834512, 8231680416171662519680106496000000, 126, 6227020801, 13795351692264051059857656678453922216740185, 10341839515685372987875780154202685440001, 10341831284038462674427346343651500074025, 63814770689031967473101752557502464000006, 63814770689031983010215025571646912681647, 74139243551785303831005583475170308101040, 13763761799751827302380268601879043453113022, 13774086256168914219225874107288616989691728, 39916806, 10341839515685373013676705950915952640001, 13763761791520157775052205130831524561741502, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.1395360._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036170
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [21265470047502881081028278835851112099409, 22616610991997139929897124480, 74139243551785416212129377821768889242529, 13785018536074815371880567749612145797135303, 7, 1307674368120, 363000, 21265470047491992185674628538040320000000, 13837892309579108683500095728889615130917161, 21265461833505988870993144062214785806640, 13774094947709371685290292443208581149691728, 13795343000723593593767386447438871605305622, 13837892309579368210375528956020485162212601, 10341831284015845711464604978744440298015, 10341839515707957363707118600286718186464, 13763753108211573127503731196747039201725225, 10341839515685372987824689212030976000000, 10341831284004956816162291177024888832001, 8231691610976285422536592969538209, 21265470047491992211577858225483980164487, 355687468012800, 31589926482262433044713736853682362834512, 13785018544306506676921729729070942632740185, 8231680416171662519680106496000000, 13763753108211369836315850265959079293113022, 126, 6227020801, 13827567853162032655523838580874724457720447, 10341839515685372987875780154202685440001, 13763753116425377617343632430362686161741502, 10341831284038462674427346343651500074025, 63814770689031967473101752557502464000006, 63814770689031983010215025571646912681647, 74139243551785303831005583475170308101040, 13795343008955285705391370547385852347484727, 13795343000723593593767386329562676581937286, 39916806, 10341839515685373013676705950915952640001, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.1395360._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036171
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10888869501630940746788023806, 42558000395983557047701952060570809242529, 7, 1307674368120, 13795343000732435355761126031517220197937287, 13816644248342059025225790459913425690917160, 13763761791528999552583006124174788992823385, 31598609791039482963321691837444300164487, 13795343000732435355761126149393415221305616, 31598609791062067313300891538256382186464, 10341839515685372987824689212030976363000, 21256786738714942292918812298182656000000, 13837901001128418800453505232213555332088447, 10341831284015845711464604978744440298015, 10341839515685372987824689212030976000000, 51090942171709440001, 13816644248342318552101223687045603396580601, 8231691610976285422536592969538209, 10341831284015845685663800827118209806640, 13785018544297654010547329687095090557112902, 355687468012800, 8231680416171662519680106496000000, 10341839515696261883178339509841768099409, 10341839515696261883178337247350168764847, 126, 6227020801, 10341839515696277394388380578336192681647, 21256786738737558903910809438112553124480, 13774086264391752873403796925014179869691729, 13785018544297857301735210617883050425808425, 31598618022753404967346158641834156074025, 13795343008946443943397630845431308731484726, 13785018536083668007206745619956665124762302, 39916806, 10341839515685373013676705950915952640001, 21256786738714942292969903241722042834512, 13763761799742985555897689780167117957135297, 74139235337788411646822467348463616000000, 10341839515685372987824811212818852844801], 'label': '15944266600786427904000.a.1395360._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036172
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10888869501630940746788023806, 13763753116434208490493773083684642173112902, 42558000395983557047701952060570809242529, 7, 1307674368120, 13816635573247289756412469224894019716088447, 13795351684041201516810234400949668997135297, 31598609791039482963321691837444300164487, 31598609791062067313300891538256382186464, 10341839515685372987824689212030976363000, 21256786738714942292918812298182656000000, 13837892309588209972369268657976336452580601, 10341831284015845711464604978744440298015, 13763753108202538963165709612637129508762302, 10341839515685372987824689212030976000000, 51090942171709440001, 13763753108202550674129240589197631931484726, 13837892309587950445493835430844158746917160, 8231691610976285422536592969538209, 10341831284015845685663800827118209806640, 355687468012800, 8231680416171662519680106496000000, 10341839515696261883178339509841768099409, 10341839515696261883178337247350168764847, 126, 6227020801, 10341839515696277394388380578336192681647, 21256786738737558903910809438112553124480, 13795351692272892821851396380408465792823385, 13795351692272881917444832932333715485691729, 31598618022753404967346158641834156074025, 13763753116434219394848581410734669157937287, 13763753116434411781681654014472602041808425, 13763753116434219394848581528610864181305616, 39916806, 10341839515685373013676705950915952640001, 21256786738714942292969903241722042834512, 74139235337788411646822467348463616000000, 10341839515685372987824811212818852844801], 'label': '15944266600786427904000.a.1395360._.EM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036173
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10341848260187984796390043902115869691728, 7, 363000, 1307674368120, 10341856491868416505116551878282373135303, 31598609791039482963321691837444300164487, 31598609791062067313300891538256382186464, 63806070386637019129882723102059562212601, 21256786738714942292918812298182656000000, 21256769762542803182193337906918097741502, 52891148371211351589984510650351616000000, 10341831284015845711464604978744440298015, 10341839515685372987824689212030976000000, 21256761530862402521740096644250981937286, 42549334063400327160562693928830057720447, 8231691610976285422536592969538209, 10341831284015845685663800827118209806640, 10341839515685372987875780155516586828801, 51091297859177452801, 21256761531054789354812700382183905725225, 8231680416171662519680106496000000, 10888895353526033217454080006, 121, 10341839515696261883178339509841768099409, 6227020801, 10341848260198889202953491976866216740185, 10341839515696277394388380578336192681647, 63806070386377492254449495971189530917161, 21256769762554514145724314467426747484727, 21256786738737558903910809438112553124480, 31598618022753404967346158641834156074025, 51212944273448124840, 63806087362560617104539908758682809242529, 21256761530862402521740214520446005305622, 39916801, 21256761530851498166931769594223997113022, 10341839515685373013676705950915952640001, 10341839515685372987875901799303094272000, 21256786738714942292969903241722042834512], 'label': '15944266600786427904000.a.1395360._.EN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036174
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [10333173165418731468528896412941365305622, 63814761926845847214119297339278441720447, 31589909506079405064435014832848925691728, 7, 1307674368120, 363000, 31598609791039482963321691837444300164487, 31598609791062067313300891538256382186464, 10333173165418731468528778536746341937286, 21256786738714942292918812298182656000000, 8700302643601886366202572578173113022, 52891148371211351589984510650351616000000, 10341831284015845711464604978744440298015, 10341839515685372987824689212030976000000, 8231691610976285422536592969538209, 10341831284015845685663800827118209806640, 8708516651382914148366976185041741502, 10341839515685372987875780155516586828801, 51091297859177452801, 10333164951433534736667360908796347484727, 21265453071319868612010445535496616740185, 8231680416171662519680106496000000, 10888895353526033217454080006, 121, 10341839515696261883178339509841768099409, 6227020801, 42558009158169595973883928949543706917161, 10341839515696277394388380578336192681647, 21256786738737558903910809438112553124480, 31598618022753404967346158641834156074025, 51212944273448124840, 8700302846893074247133360538081725225, 63806087362560617104539908758682809242529, 39916801, 10341839515685373013676705950915952640001, 10341839515685372987875901799303094272000, 42558009158429122849317156080413738212601, 21256786738714942292969903241722042834512, 21265444857312087558327869985787013135303], 'label': '15944266600786427904000.a.1395360._.EO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036175
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 31008, 'diagramx': None, 'generators': [5041, 42088119182724295687831341122246350931020800, 7, 13795369585169793408605205703445670904504729, 70317098495703937854495126568931562612898150, 84857009924056092070145982629003919360000000, 42045587766783974501065935625265042922679801, 98609830200480152809744440510055339132836065, 98588573438830666255526270480785213009061470, 70317098495695085219117293193220320225003809, 9135406032842358775512297475057, 356995102464000, 42513523061702996282057079788666880000000, 40279680, 70359594125859876708728037767554007040000000, 13774094930733188657310064568838389760000000, 21274654436728609627769607309098145041137, 121, 70338337364337877876961409391653051396464062, 21256761530862402547592230923184903946574, 121645100408832001, 6227020801, 84814496401003241724753020948717928870537889, 28314024251999948777003806212031518803020800, 1307674368001, 42088101289946031303125441056953742400957111, 21274654436615655676231834686208890030696, 98609848093468655469151000061475261851078273, 84835735269637181747219304540495729864830646, 39916801, 32343228368340780471453671, 13774094930751504557845703763041222010295806, 21274654427773893681740372402307072000000, 42531415958614502953369585243646992178231, 51090942171709440120, 28271510728929404018728062692763629012261632, 98609848093258620825076910334332310178420264, 98588573438839575787316269691141966946789430, 28271510728929404018753861447027187096556800], 'label': '15944266600786427904000.a.31008._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31008.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31008._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036176
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 348840, 'diagramx': None, 'generators': [21265470047502881081028278835851112099409, 22616610991997139929897124480, 21265444848470325564588168031243397135297, 74139243551785416212129377821768889242529, 21265461833495100001491634412121464832001, 21265461833505988870941931119181824000006, 31589917728940659075390965804949947484726, 7, 1307674368120, 363000, 21265470047491992185674628538040320000000, 21265461833505988870993144062214785806640, 63814761935687609207858999295129732088447, 74139218353023164059549374440890436580601, 10341831284015845711464604978744440298015, 10341839515707957363707118600286718186464, 16985228081187751615166136761808425, 10341839515685372987824689212030976000000, 8231691610976285422536592969538209, 31589909497248547451406747981774181937287, 21265470047491992211577858225483980164487, 31589926482262433044713736853682362834512, 8231680416171662519680106496000000, 121, 52891140139530935418373081912416829440001, 74139218352763637184116147308712730917160, 6227020801, 31589909497248547451406865857969205305616, 21265453080161630605750147490040192823385, 31589934696259325228845762036849708012800, 10341831284038462674427346343651500074025, 31589926482273337451226337276448192681647, 16985024789999870684378176893112902, 39921840, 39916801, 63814778903017970813686466715245936640001, 10341856483026638974312861627678749691729, 25199032571027652848781789988762302, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.1395360._.EP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036177
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [13774086239192742080141700433964264356277880, 13774086239192731206782709952314803680833966, 28281825983998912145688898219424439300101040, 10904380660583685248530601647, 5041, 7, 15511368185729014234821535, 8700293812728736173811271098873034881, 13763753116434208506004931918180523064209966, 10341839515696277369607100981659354365376, 13774086239192742095626357907545845840041646, 42045579075225234994896916853393235215570350, 42045579100433098067346262075669303775811430, 10341839515696261857276644891212434316942, 10341839515685372987824689212030976000000, 42035254618808147706322807231544204012796847, 28271492861240366876127326546206862907033295, 13774086264400605524292890031355498497498664, 42045587766774533851278326021276890971148927, 13774086264400605846980067181171799780669225, 8700293813019160028947948280889987246, 28271501527581802660032630234732142030814951, 121, 10904406563691366305216681647, 6227020801, 25207863444177742410787840868414783, 121645100408832001, 13774086239192731191245646232918425600000000, 362881, 1307674368001, 28271492861240355971719848331867324416000000, 355687428096001, 42035254618808136801968054743701817553263927, 39916801, 42045579075225246350989865672324165777642584, 8691549299228058158037874507776000001, 13763753116434219394874433545349783215403001, 13763761782775644629324682872341820365034464, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1395360._.EQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036178
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13785009852766071795153231496674933262137600, 15511261256275259432124846, 5041, 13763753091226355935186500855309949689693768, 21256761539704551755086649689911421763766, 7, 13785009860980046087530233374648839567109455, 10904407583333798904879369889, 21256769762825542813767458079560420616550, 13785009860980068719680642859141632548842464, 13763753091235186808309719283535446016000000, 13763753091226345046316137720568462162187441, 13774094939495385681975559624500295998007687, 10341848260188000307651178529618959819814, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 121, 13763753091226345061853414254508288603223702, 10904406563691366305216681647, 21256761539704149004218660220579301099944, 6227020801, 121645100408832001, 10904380711674627420200124847, 362881, 1307674368001, 8841761993739701954543616000001, 355687428096001, 13774094947709371700827568733859741318476232, 13785009860980046103015642492181810836573481, 21256769753690152319165715492576173800912, 13774094939495374808617370461717760160751927, 13785009852766049195346050258520825328011006, 31598609791039482937418462150000640000000, 13774094947709382589671004251927499579760041, 13785009860988876976139880806487122384316737, 8231691305041112938032267303916800, 8231680416171713610622278205440001], 'label': '15944266600786427904000.a.1395360._.ER', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.ER', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.ER', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036179
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [22616610991997139929897124480, 8708525482256064289020298141053112902, 5041, 13785018561273837038527557439806386380164486, 7, 13795351684050054167673473562682902952740185, 63814770689021078603651334205341696000000, 13837901001119577038459765530257704041720447, 8708525685547252169951086100921808425, 63806070395478781123622425057910852580601, 13774094930742063925162069447605968070442025, 8708525493144907888068930734884762302, 21256769753701056699662914369813861937287, 13785009860980057798467964194093785531484727, 10341839515707957363707118600286718186464, 13785018561273847927397007860416753512099408, 10341839515685372987824689212030976000000, 13795351684050043278803974102904212613135303, 51090942171709440001, 13785018561273847927371155841414136449806641, 13827559161621564300564168779506635546917161, 42549317087217299180386032484732352681647, 121, 6227020801, 13763753091226356241120602484437388873538208, 21256769753701056699663032246008885305616, 362881, 1307674368001, 13774094930742041308199106706239747109277215, 13837892334778130462528108959402671289247569, 13795343017708607479360693318434584762834632, 10888869501631296434256041647, 13763753091226345046315979581580902400000001, 13774086256168914219225874107288616989691728, 39916801, 63814770689031982984363008477074507945647, 10341839515685372987824810857131384832001, 31589926482262433044662645910142976000000, 31589926482273321914113064262303744000001], 'label': '15944266600786427904000.a.1395360._.ES', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.ES', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.ES', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036180
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [22616610991997139929897124480, 42557992181986552482395041587265536000000, 5041, 13785009877965059988608949484822624442834632, 7, 31598592814856470494254819368766597135303, 31598592814867359363754279147456936740185, 13795351701017384529279301273418346700164486, 13774094930742063925162069447605968070442025, 13785009860988887865009382315781454901305616, 63814778903028859657284868328521728000001, 42557992181997456888958732953570752681647, 13795351701017395418148751694028713832099408, 13763753108202538963165709612637129508762302, 10341839515707957363707118600286718186464, 51090942171709440001, 13827567844939442639326097524833214532580601, 63814753712838066134684716120134426917161, 63814778903028859657336081272795216041647, 121, 13763753108202528074322110564004535677112902, 6227020801, 121645100408832001, 13763753091226356241120602484437388873538208, 21256769762554514145724314467426747484727, 362881, 1307674368001, 15511210043330985984000001, 13774094930742041308199106706239747109277215, 13827567870129363129484937826259549369247569, 13763753108202731365509991494792495545808425, 13763753091226345046315979581580902400000001, 10341856491868400968052563582222365691728, 31598609791039482937418462150000640000000, 39916801, 13795351701017395418122899675026096769806641, 74139226575613180257290430482400361720447, 13785009860988887865009382197905259877937287, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.1395360._.ET', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.ET', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.ET', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036181
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13774094939486543935493081434201936699760040, 15511261256275259432124846, 25207863459663151528330496160751927, 31598601046547775509564782087376532573481, 5041, 21256761539704551755086649689911421763766, 13785009852757207433352310556566281712011007, 7, 21256769753994669689478174477177572616550, 10904407583333798904879369889, 13795351684050054152136360411334713855467944, 31598601046547760024155664554405263109455, 13774094939486533046649645916134178438476112, 10341831292846718809901871486468096000001, 8231680416171662519680106496000000, 10341831292846718810060010474027858187441, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 13763753116425366743985391408304159759819814, 10904380711674627420200124847, 13774094922510350003132141751112826880000001, 31598601046536886640063394438144464316743, 13774094947718224336153482442225858878007686, 362881, 1307674368001, 10341848269029746790180837907698473066880, 10341831292857607680423145215515385693768, 355687428096001, 13785009860988910481674382561096176164842470, 21256769753690152319165715492576173800912, 31598609791039482937418462150000640000000, 8231691305041112938032267303916800, 8231680416171713610622278205440001, 13785009852757230033159491794720389646137601, 13763753091235186823847153956462832219223696], 'label': '15944266600786427904000.a.1395360._.EU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036182
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13785009852766071795153231496674933262137600, 15511261256275259432124846, 5041, 31598601037695124646323692483600848316737, 7, 31598601037705998030415962599861647109454, 10904407583333798904879369889, 16985024805485228710604933280751926, 21256769762825542813767458079560420616550, 31598601037706013515825080132832916573480, 13785009860980068719680642859141632548842464, 13763753108202528089807468590578596879819815, 13774094939495385681975559624500295998007687, 10341831292846718809901871486468096000001, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 10341831292846718810060010474027858187441, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 10904380711674627420200124847, 13774094922510350003132141751112826880000001, 21256769762531914312905417091432361704912, 362881, 1307674368001, 10341831292857607680423145215515385693768, 355687428096001, 13774094947709371700827568733859741318476232, 21256761530862774250136904404381821763766, 13795351684041212390142620709378862565099944, 13785009852766049195346050258520825328011006, 31598609791039482937418462150000640000000, 13774094947709382589671004251927499579760041, 8231691305041112938032267303916800, 8231680416171713610622278205440001, 13763753091235186823847153956462832219223696], 'label': '15944266600786427904000.a.1395360._.EV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036183
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 15511261256275259432124846, 25207863459663151528330496160751927, 31598601046547775509564782087376532573481, 5041, 31598601037695124646323692483600848316737, 13763753091226355935186500855309949689693768, 7, 10904407583333798904879369889, 31598601046547760024155664554405263109455, 25207874333021340691113031998007687, 16976183043517504165021351558476232, 13795351692272881917445047168559946669800912, 13795351684041212792893488698848194685763766, 31598592814889943659674382671411726137600, 16976193932360939683089109819760041, 13763753091235186808309719283535446016000000, 13795351692264333783952169507237843684616550, 13763753091226345046316137720568462162187441, 31598601046570392174565149047198244842464, 8231680416171662519680106496000000, 121, 13763753091226345061853414254508288603223702, 10904406563691366305216681647, 6227020801, 121645100408832001, 13763753116425366743985391408304159759819814, 10904380711674627420200124847, 362881, 1307674368001, 8841761993739701954543616000001, 355687428096001, 13795351684041212390142620709378862565099944, 31598609791039482937418462150000640000000, 13763753108211369836289998249956676393066881, 8231691305041112938032267303916800, 8231680416171713610622278205440001, 31598592814867343852493144517303792011006], 'label': '15944266600786427904000.a.1395360._.EW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036184
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13774094939486543935493081434201936699760040, 15511261256275259432124846, 5041, 31598601037695124646323692483600848316737, 13785009852757207433352310556566281712011007, 7, 31598601037705998030415962599861647109454, 10904407583333798904879369889, 13795351684050054152136360411334713855467944, 16985024805485228710604933280751926, 13774094922519191765125881453067370496000000, 21256769762825542813767458079560420616550, 31598601037706013515825080132832916573480, 13774094939486533046649645916134178438476112, 10341831292846718809901871486468096000001, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 10341831292846718810060010474027858187441, 13763753091226345061853414254508288603223702, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 13763753116425366743985391408304159759819814, 10904380711674627420200124847, 21256769762531914312905417091432361704912, 13774094947718224336153482442225858878007686, 362881, 1307674368001, 10341831292857607680423145215515385693768, 355687428096001, 13785009860988910481674382561096176164842470, 21256761530862774250136904404381821763766, 31598609791039482937418462150000640000000, 8231691305041112938032267303916800, 8231680416171713610622278205440001, 13785009852757230033159491794720389646137601], 'label': '15944266600786427904000.a.1395360._.EX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036185
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [31598618022990943314186428802312667274471, 13785009852766071795153231496674933262137600, 15511261256275259432124846, 25207863459663151528330496160751927, 31598601046547775509564782087376532573481, 5041, 21256761539704551755086649689911421763766, 7, 21256769753994669689478174477177572616550, 10904407583333798904879369889, 31598601046547760024155664554405263109455, 13774094922519191765125881453067370496000000, 13785009860980068719680642859141632548842464, 13763753108202528089807468590578596879819815, 13774094939495385681975559624500295998007687, 10341831292846718809901871486468096000001, 8231680416171662519680106496000000, 10341831292846718810060010474027858187441, 13763753091226345061853414254508288603223702, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 10904380711674627420200124847, 31598601046536886640063394438144464316743, 362881, 1307674368001, 10341848269029746790180837907698473066880, 10341831292857607680423145215515385693768, 355687428096001, 13774094947709371700827568733859741318476232, 13795351684041212390142620709378862565099944, 21256769753690152319165715492576173800912, 13785009852766049195346050258520825328011006, 31598609791039482937418462150000640000000, 13774094947709382589671004251927499579760041, 8231691305041112938032267303916800, 8231680416171713610622278205440001], 'label': '15944266600786427904000.a.1395360._.EY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036186
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 969, 'diagramx': None, 'generators': [8231691305041113060053910614868175, 8222838669715036090738399653957408, 8231691320578226211046411712681647, 5046, 7, 17003318090676522425049357103857967, 8852650863241334760222210149176, 237675437674762747464207316131747862, 25199044314308560054942098581738465, 356995102464000, 15537062181716279045470079, 8222849543047373357724132080751337, 8231680431682923653964423447782695, 15511210164976086433116840, 15511261391892652664695679, 8231691320552374193950525406556840, 27439595552179394127280846344551, 8222849558774498723692506997374846, 8222951608104307198755195950140799, 228958940057597691761429949236877670, 6227020801, 126, 8231680416171662641326582116438263, 15537062060071178635013737, 121645100408832006, 367920, 1307674368006, 8852666400252180377950342493209, 8231680431683780929926201961256880, 8231691320552323103008353696753960, 8222849543047373236077723648000000, 39916806, 8222894759573772454496609529004374, 8852666400303271695289859858344, 10888869450418352160768005040], 'label': '15944266600786427904000.a.46512._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036187
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [15511261256275259432124846, 13785009852766071795153231496674933262137600, 31598601046547775509564782087376532573481, 5041, 31598601037695124646323692483600848316737, 21256778515887176985517268301667065693768, 13785009852766049195320198242138962238007687, 7, 13763753108202538963165657752676347365099944, 13785009860980046103015642869566165819760041, 10904407583333798904879369889, 31598601046547760024155664554405263109455, 10341856483026638974527097853909933800912, 13774094922519191765125881453067370496000000, 13785009860980068719680642859141632548842464, 31598601046536886640114485033011360751927, 10341856491868400968103655633261353066881, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 10904380711674627420200124847, 13763753116425366743985391408304159759819814, 362881, 1307674368001, 13795351701017384544790832716658289243223702, 21256778507034526121256292618076160000000, 8841761993739701954543616000001, 8231951460376767966652312027274471, 355687428096001, 21256778515876288115154133560179538187441, 10341856492162029469128840440894180616550, 10341848269041038410448032051245181763766, 13785009852766049195346050258520825328011006, 8231691305041112938032267303916800, 8231680416171713610622278205440001, 13785009860980035214172207351498407558476232], 'label': '15944266600786427904000.a.1395360._.EZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.EZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.EZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036188
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [21265470047502881081028278835851112099409, 10341839515685372987824689567718404096001, 13763753091226367662926971578720832297124481, 8708525482256064289020298141053112902, 5041, 13837900992905569257380330949038560026917161, 13785018561273837038527557439806386380164486, 21265470047502881055176259833234049806640, 7, 13795351684050054167673473562682902952740185, 21265470047491992185674628538040320000000, 8708525685547252169951086100921808425, 13774094930742063925162069447605968070442025, 8708525493144907888068930734884762302, 21256769753701056699662914369813861937287, 10341839515696261883127124658850936298015, 10888869501509294332477440000, 10341839515685372987824689212030976000000, 63806078609227035327623779146184836088447, 13795351684050043278803974102904212613135303, 51090942171709440001, 13774094930742053003679686700181189118186470, 121, 21256769753712752151984612512883131484726, 6227020801, 121645100408832001, 10341839515696277394388380578336192681647, 21256769753701056699663032246008885305616, 1307674368001, 362881, 11194804622902856486473538209, 13837900992905828784255764176169430058212601, 13827567870129363129484937826259549369247569, 13795343017708607479360693318434584762834632, 13763753091226345046315979581580902400000001, 13774086256168914219225874107288616989691728, 39916801, 25903107681056686080000, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.1395360._.FA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.FA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.FA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036189
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [21265470047502881081028278835851112099409, 10341839515685372987824689567718404096001, 8708525482256064289020298141053112902, 5041, 13774094922510383508990406927925861574442025, 7, 21265470047502881055176259833234049806640, 21265470047491992185674628538040320000000, 8708525685547252169951086100921808425, 13827559161621823827439602006637505578212601, 8708525493144907888068930734884762302, 21256769753701056699662914369813861937287, 13763753099458025462487642101261008896000001, 10341839515696261883127124658850936298015, 13785018553059840146343374324035367116164486, 10888869501509294332477440000, 13795351692264040170988157218675231877135303, 10341839515685372987824689212030976000000, 63806078609227035327623779146184836088447, 51090942171709440001, 13827559161621564300564168779506635546917161, 13763753099458048079098634098400938793124481, 121, 21256769753712752151984612512883131484726, 6227020801, 121645100408832001, 13774086264400594635397536626968723485691728, 13795351692264051059857656678453922216740185, 10341839515696277394388380578336192681647, 21256769753701056699663032246008885305616, 13774094922510372587508024180501082622186470, 1307674368001, 362881, 11194804622902856486473538209, 13837892334778130462528108959402671289247569, 39916801, 25903107681056686080000, 13795343025922604371544876434205604026834632, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.1395360._.FB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.FB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.FB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036190
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [21265470047502881081028278835851112099409, 10341839515685372987824689567718404096001, 8708525482256064289020298141053112902, 5041, 13837900992905569257380330949038560026917161, 13774094922510383508990406927925861574442025, 7, 21265470047502881055176259833234049806640, 21265470047491992185674628538040320000000, 8708525685547252169951086100921808425, 8708525493144907888068930734884762302, 21256769753701056699662914369813861937287, 13763753099458025462487642101261008896000001, 10341839515696261883127124658850936298015, 13785018553059840146343374324035367116164486, 10888869501509294332477440000, 13837892326564133457962802048929366016000001, 13795351692264040170988157218675231877135303, 10341839515685372987824689212030976000000, 51090942171709440001, 13763753099458048079098634098400938793124481, 121, 21256769753712752151984612512883131484726, 6227020801, 121645100408832001, 13774086264400594635397536626968723485691728, 13795351692264051059857656678453922216740185, 10341839515696277394388380578336192681647, 21256769753701056699663032246008885305616, 13774094922510372587508024180501082622186470, 1307674368001, 362881, 11194804622902856486473538209, 13837900992905828784255764176169430058212601, 13827567870129363129484937826259549369247569, 74147909893231992143785948678109316088447, 39916801, 25903107681056686080000, 13795343025922604371544876434205604026834632], 'label': '15944266600786427904000.a.1395360._.FC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.FC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.FC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036191
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [13763753091226367662926971578720832297124481, 13763753116434208490493773083684642173112902, 10341848260187984796390043902115869691728, 7, 63814770689021078603651334205341696000000, 31598609791039482963321691837444300164487, 13774094930742063925162069447605968070442025, 10341839515696261883127124658850936298015, 13795351692272881932981896920629775493135297, 10888869501509294332477440000, 13795351701017395418148751694028713832099408, 10341839515685372987824689212030976005041, 10341839515685372987824689212030976000000, 21256761530862402521740096644250981937286, 51090942171709440001, 13774094930742053003679686700181189118186470, 13827567844939442639326097524833214532580601, 13827567844939183112450664297701036826917160, 13763753116434219379337372132317236004762302, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 362881, 1307674368001, 11194804622902856486473538209, 15511210043330985984000001, 13795351692272892821851396380408465792823385, 21256761530874097974061794787320251484727, 355687428096001, 13837892334778130462528108959402671289247569, 13763753091226345046315979581580902400000001, 13763753116434411781681654014472602041808425, 21256761530862402521740214520446005305622, 39916801, 52882456830753885525566174730387456000000, 13795351701017395418122899675026096769806641, 74139226575613180257290430482400361720447, 21256786738714942292969903241722042834512], 'label': '15944266600786427904000.a.1395360._.FD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.FD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.FD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036192
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [42557992181986552482395041587265536000000, 10341848260187984796390043902115869691728, 63814761926845847214119297339278441720447, 13774094922510383508990406927925861574442025, 13795351709249075834320414213708820328099408, 7, 13795351684041212405679733860728359296823385, 13795351684041201516810234400949668997135297, 31598609791039482963321691837444300164487, 13763753099458025462487642101261008896000001, 10341839515696261883127124658850936298015, 13795351709249075834294562194706203265806641, 10888869501509294332477440000, 10341839515685372987824689212030976005041, 13763753108202538963165709612637129508762302, 10341839515685372987824689212030976000000, 21256761530862402521740096644250981937286, 51090942171709440001, 13827567844939442639326097524833214532580601, 13827567844939183112450664297701036826917160, 13763753099458048079098634098400938793124481, 121, 10904406563691366305216681647, 13763753108202528074322110564004535677112902, 6227020801, 121645100408832001, 13774094922510372587508024180501082622186470, 362881, 1307674368001, 11194804622902856486473538209, 15511210043330985984000001, 21256761530874097974061794787320251484727, 355687428096001, 13837892334778130462528108959402671289247569, 13763753108202731365509991494792495545808425, 21256761530862402521740214520446005305622, 39916801, 21256786738714942292969903241722042834512, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.1395360._.FE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.FE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.FE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036193
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 697680, 'diagramx': None, 'generators': [13763753116434208490493773083684642173112902, 63814761926845847214119297339278441720447, 13774094922510383508990406927925861574442025, 13795351709249075834320414213708820328099408, 7, 63814770689021078603651334205341696000000, 31598609791039482963321691837444300164487, 13763753099458025462487642101261008896000001, 10341839515696261883127124658850936298015, 13795351692272881932981896920629775493135297, 13795351709249075834294562194706203265806641, 10888869501509294332477440000, 10341839515685372987824689212030976005041, 10341839515685372987824689212030976000000, 51090942171709440001, 13827567844939442639326097524833214532580601, 13827567844939183112450664297701036826917160, 13763753116434219379337372132317236004762302, 13763753099458048079098634098400938793124481, 21256769762542818693402616324357477937286, 121, 10904406563691366305216681647, 6227020801, 121645100408832001, 21256769762542818693402734200552501305622, 13774094922510372587508024180501082622186470, 1307674368001, 362881, 21256769762554514145724314467426747484727, 11194804622902856486473538209, 15511210043330985984000001, 13827567870129363129484937826259549369247569, 13795351692272892821851396380408465792823385, 355687428096001, 13763753116434411781681654014472602041808425, 10341856491868400968052563582222365691728, 39916801, 52882456830753885525566174730387456000000, 21256786738714942292969903241722042834512], 'label': '15944266600786427904000.a.1395360._.FF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1395360.FF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1395360._.FF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036194
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [10341831292846734347015022510996942357097, 44503063807865704115825717098908657847, 5041, 8222849543073276465760882112319065, 7, 13763753099458036351436896828136357946946145, 8841777504949745285529600000000, 8222849543073276465760875886911071, 25903229683158464681647, 13763761774552816509497497901291910167712415, 13763753091226345061827189624911888384000000, 51090942171709440001, 8222838669689132861056548864000000, 13763753091235186808336586199273177190206097, 13774094922510360892001592291467083548770056, 121, 10341839515696277368485150895177728000000, 121645100408832001, 10904380660461683146752000000, 6227020801, 10333156198066576612539214348615680000000, 10333156189235703488249931103234201781753, 10341839506843626531147047683072788917329, 362881, 10333156189235703488249931103234201792990, 355687428096001, 10333156189235703514688534084116833196926, 63824022443551956718120152906728111292727, 13774086239192742095706217915607242718556840, 13763761774543974762609038669496508751992750, 8683326471478286801095479399732797214, 39916801, 1313901751800], 'label': '15944266600786427904000.a.1410864._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1410864.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1410864._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036195
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [10341831292846734347015022510996942357097, 44503063807865704115825717098908657847, 5041, 8222849543073276465760882112319065, 7, 13763761774552816525008708066267996560544415, 13774086239192742080195007872276256734556841, 8841777504949745285529600000000, 8222849543073276465760875886911071, 25903229683158464681647, 13763753099458036366948106871467343930946151, 51090942171709440001, 8222838669689132861056548864000000, 121, 10341839515696277368485150895177728000000, 121645100408832001, 10904380660461683146752000000, 6227020801, 10333156198066576612539214348615680000000, 10333156189235703488249931103234201781753, 10341839506843626531147047683072788917329, 362881, 10333156189235703488249931103234201792990, 13763761774543974747097828626165522768355630, 355687428096001, 10333156189235703514688534084116833196926, 63824022443551956718120152906728111292727, 13774094922510360907512802334798069532770062, 13763753091226345046315979581580902400000001, 8683326471478286801095479399732797214, 39916801, 1313901751800, 13763753091235186823847796242604163174206103], 'label': '15944266600786427904000.a.1410864._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1410864.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1410864._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036197
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3876, 'diagramx': None, 'generators': [8691540457466090270474660944648742814, 42035263828378587719221911951239867768832001, 28271510728929404034239221389042050960673846, 5041, 7, 42035272503482220527794424623660512186721494, 56585507886675987279501983374974116668855990, 28271519420469861484792427766208266240000000, 98631096163257675927792523709940849579957712, 84867351755340107915857447233626889584679894, 42045605659662603564907524417478852608000001, 8691540457466064418335919964160000000, 98620771698600055944209390515575648947817606, 98620763023505275770665737045049269616640001, 42035272503482209638924275444968015908897966, 42045596968122146114355009880815312782090590, 8691540468370445080712686938024983057, 10341831302320857351801364091751872313721, 84867343080245316869253572098067005440000000, 121, 6227020801, 70349252294575882640781326138019343778753263, 13763753099458025510316279586780380883541350, 13763753099449183700493902399306465280000000, 362881, 1307674368001, 10333156189224799107589469063086080000000, 355687428096001, 70359594125868718470721777469509864684431486, 42045605659671445326927169654725798450685024, 13763753099449228916966186064657022715458145, 42045605659671434438031864792380475944605145, 13774094930733188657310115659780561469440001, 39916801, 28281843885127470579829338723308027723558400, 42045605659662592691549284042457677824000001, 84857009924056102974796456015637634043804806, 56585507886675987279476131236590125056000001], 'label': '15944266600786427904000.a.46512._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036198
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [10341839506854499889387544350634844131263, 10341831284004956842065277214295242042471, 5041, 121645106635852800, 7, 10333147966397033799117070046685337804375, 10333156198077449996631606110056532503672, 10333147975227906923408012622678809819399, 8683317629700755997027499899022615968, 8683326471478261966281116819686978145, 355693655116800, 8691540457466064418457565070799458254, 10341839515685373013729078479539919352446, 8691540457466064418335919964160000000, 25903229683158464681647, 51090942171709440001, 8222849543073276465760882112319342, 8222838669689132861056548864000000, 13795351684050043263320913118837207081380487, 8231680416171662519680106496000000, 121, 10341839515696277368485150895177728000000, 62379021133803595585603744638741847681, 10904380660461683146752000000, 6227020801, 63824022434710179213119438324127210684727, 367920, 1307674368001, 8683326471478340857993781247585468847, 39916801, 10341831284004956895966478410793923736624, 8231680416171662641341972224093111, 8841777504951282968257659861425, 8231691320578176400975214103275640], 'label': '15944266600786427904000.a.1410864._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1410864.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1410864._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036199
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [10341839506854499889387544350634844131263, 10341831284004956842065277214295242042471, 5041, 121645106635852800, 7, 10333147966397033799117070046685337804375, 10333156198077449996631606110056532503672, 10333147975227906923408012622678809819399, 8683317629700755997027499899022615968, 8683326471478261966281116819686978145, 355693655116800, 8691540457466064418457565070799458254, 10341839515685373013729078479539919352446, 8691540457466064418335919964160000000, 25903229683158464681647, 51090942171709440001, 8222849543073276465760882112319342, 8222838669689132861056548864000000, 8231680416171662519680106496000000, 121, 10341839515696277368485150895177728000000, 62379021133803595585603744638741847681, 10904380660461683146752000000, 6227020801, 63824022434710179213119438324127210684727, 367920, 1307674368001, 13795351692272881917498835936562769961380486, 8683326471478340857993781247585468847, 39916801, 10341831284004956895966478410793923736624, 8231680416171662641341972224093111, 8841777504951282968257659861425, 8231691320578176400975214103275640], 'label': '15944266600786427904000.a.1410864._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1410864.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1410864._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036200
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [5041, 8222849543073276465760882112319065, 10341831284004956842709735261187264163206, 7, 10341839515685373014428468139579832527705, 10333156189224799133492698390550849303465, 21265453071342452907930549058143732132480, 8841777504949745285529600000000, 8691540457466064418335919964160000000, 25903229683158464681647, 8683317629700781958141788589309925414, 51090942171709440001, 10333147966397033824969208429356822302846, 8222838669689135032571510958480294, 121, 8231691320552374072324972621643815, 10341839515696277368485150895177728000000, 121645100408832001, 6227020801, 10904380660461683146752000000, 367920, 1307674368001, 8683317618827397756652484364442567537, 355687428096001, 8683326471478260947285732636581626366, 8683326471478340857993781247585468847, 10341839515696277394388380592338504592680, 8222849543047373236077723648000000, 39916801, 10341831284004956895966478410793923736624, 10341839506843626505296055721513870106655, 31598592823698217004933537256304681380486, 31652279765016199505735484601453329751680], 'label': '15944266600786427904000.a.1410864._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1410864.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1410864._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036201
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 352716, 'diagramx': None, 'generators': [5041, 31598601046536871182856354981867561380487, 8222849543073276465760882112319065, 10341831284004956842709735261187264163206, 7, 10341839515685373014428468139579832527705, 10333156189224799133492698390550849303465, 21265453071342452907930549058143732132480, 8841777504949745285529600000000, 8691540457466064418335919964160000000, 25903229683158464681647, 8683317629700781958141788589309925414, 51090942171709440001, 10333147966397033824969208429356822302846, 8222838669689135032571510958480294, 121, 8231691320552374072324972621643815, 10341839515696277368485150895177728000000, 121645100408832001, 6227020801, 10904380660461683146752000000, 367920, 1307674368001, 8683317618827397756652484364442567537, 355687428096001, 8683326471478260947285732636581626366, 8683326471478340857993781247585468847, 10341839515696277394388380592338504592680, 8222849543047373236077723648000000, 39916801, 10341831284004956895966478410793923736624, 10341839506843626505296055721513870106655, 31652279765016199505735484601453329751680], 'label': '15944266600786427904000.a.1410864._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1410864.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1410864._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036202
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1488384.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': 3876, 'diagramx': None, 'generators': [18315900509787055818840637807927, 5041, 7, 15537062062701991195759319, 8852666400303393319602079421105, 47854438411317386741637544, 10904406512478423339617930857, 8852650889093351896640069300400, 10888869450418353468483459528, 8841762019642931282041525924265, 25852138392441374916190, 8841761993792969341113621489857, 51090942171709440001, 8841777505164733215952592329102, 8852650889042258692003711141182, 8852650889042137402584463144199, 10888869501631295120662760886, 15619328843922707729443057, 10904406563569719897135907321, 121, 26815824785882633368744, 25852016738884976640001, 6227020801, 121645100408832001, 8852650889095533199290234986902, 1307674368001, 362881, 15511210043330985984000001, 8852650863241333269198182889905, 8841761993739701954543616000001, 355687428096001, 173492372869044132655063762294447, 39916801, 8897867335422694716391517080744, 15511210168347464949123846, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1488384.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1488384.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1488384.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036203
    {'ambient': '15944266600786427904000.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': [183488132705703514706575161555414241736119680, 8683317618827397705561525387264000000, 5041, 10888869450418707854423479687, 13763753099458036366868302562945544232069078, 7, 10341839506843626505668156398956977312304, 363000, 10333147966386144929717742636696238959775, 13774086239201583857620099146831695643475608, 8222838669743085153197841005464745, 8841777504949745285529600000000, 13774086239201572953239437147817242706104630, 8222838654231981900347247821163001, 25903229683158464681647, 10341831292857623216735749824557364696376, 13763753091226345061827189624911888384000000, 10341831292857623810154348505649727118063, 25852017094572445015806, 40279680, 10333147966386160440876694668509184000000, 13774086247415569845450436478976197111221800, 10341831284015845711464726268076900773182, 8222838669689132861056548864000000, 121, 10333156198077465481992060324608076979182, 10904380660461683146752000000, 6227020801, 84846095002040948544851664050309176071941161, 25852138739672853852846, 25903229681844563292847, 13763753099458025462487693192558868208911134, 355687428096001, 8683326471478286749748086659689263438, 13774086239192742095626306694601579015663048], 'label': '15944266600786427904000.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: 12036204
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 10333147966397033825021836697241506178911, 13763761774552816541382985236087269690193961, 5041, 13774094922510360907512854194424127530850769, 8691540457466090322725188813701367975, 8683326460573880235220148944896000000, 7, 13763753099449183700519756587224099208479055, 13774094922519191780637198922582788571632304, 13774094930742041323710316749214965367099735, 70359639146989665723644122001492803584000000, 141357490756395297178207017370135293368484480, 13763753099449183700493953490604397832175302, 10341831292857607679352289838628864000000, 13774086239192731206782759384287523375563566, 8683317629700997765002559189934629686, 8231680416171662519680106496000000, 121, 84846112894937837436152881240088615485440001, 6227020801, 8852650863190120306704384000000, 13774086239192731206782759384286155738461144, 141367815221052895336600002065651632094193863, 362881, 1307674368001, 8231680431708775671047903695498014, 355687428096001, 85089450325257304257054988380340224000001, 10341839515685372987875780511197788301854, 84909883179539854358128329316857151488000000, 13774086247415580749830132741654600004517414, 39916801, 13774094930733188672847126751321851306638646, 155206253000856978440146272630251908472832001, 10333156198077465482040724013911513471135, 42099060723138049461547302278835527024640001, 95413914974024621789016078192476160000000], 'label': '15944266600786427904000.a.1627920._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036206
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 10359724199220653033627924612166328382640, 10351049086147194674153439961945594521727, 10341839506843610994084987257487360000001, 7, 355687468017841, 44477334280722380196310398235070179504, 10386851874446490114124706245655999580737, 13774104174283151582709712095030617440740607, 10368950736392155849428851612714523606961, 10333190150432632598846736534992363582640, 8691549310116927608456226668544000000, 5160, 121, 13774086239192731191245646232918425600000000, 13763797568569478145563690779457231282634816, 10351040863297668378887050674786352476841, 8852650863190120306704384000000, 10395535182613763343560083061629910386559, 10368958977534999519604096973161372748136, 10333147966386144929666651337529466942640, 10333190150432632572994841441201569111800, 8222849543047373236077723648000000, 8231680464000141488429869825207807, 122000787876849966, 13774104149092971677599042853523989712235865, 10341831284015861222782074494075688088744, 10386826684266585486826988762942912681647, 44511286646504344976583017103360000000, 26610175738136511952140882006355466585, 13763761799751838191601638430166625735905279, 13763770992373230254324396425718028143421791, 51212587272118272000, 25217325871704303820431556608000000], 'label': '15944266600786427904000.a.1627920._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036207
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 10359724199220653033627924612166328382640, 62379002829614023580337024810431580737, 13774086264391752873781619443003043271905279, 10341839506843610994084987257487360000001, 7, 26576214530318583609070741100026521727, 355687468017841, 44477334280722380196310398235070179504, 13774104174283151582709712095030617440740607, 26584437379878383089153609388080476841, 10333190150432632598846736534992363582640, 8691549310116927608456226668544000000, 5160, 121, 13774086239192731191245646232918425600000000, 13763797568569478145563690779457231282634816, 13763779684435351693692681600074163408235865, 8852650863190120306704384000000, 10351083038502361739306389796147539466585, 35811001697315960875138307458587606961, 10395535182613763343560083061629910386559, 10368958977534999519604096973161372748136, 10333147966386144929666651337529466942640, 10333190150432632572994841441201569111800, 8222849543047373236077723648000000, 8231680464000141488429869825207807, 122000787876849966, 10341831284015861222782074494075688088744, 10386826684266585486826988762942912681647, 44511286646504344976583017103360000000, 13763770992373230254324396425718028143421791, 51212587272118272000, 25217325871704303820431556608000000], 'label': '15944266600786427904000.a.1627920._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036208
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [10333147975238811304069241491619625127663, 5041, 10333156189236010636168109979285876028800, 8683326460573880235220148944896000000, 7, 13763753099449217221459753931975827332076926, 13774094922519202669506542036408124516808462, 10333147975239182952817852441626068138303, 70317080602798184616826692240390664888740606, 10341831284015845685663678826256957837457, 51091297859137898886, 122000794063953840, 1313901751681, 25852017094572405103920, 13763753099449194604874564780177169609952687, 10333147975227906923406353292066816000000, 98609857294614894158791312276538086890316807, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 13763753099449183700519807556503124295173408, 8231680431708724580106972861105840, 13763753099449183700493902399306465280000000, 362881, 10341831284015845685663678826256957803304, 11929, 13763761782775644274777761185622630766077486, 8231680431708724580106973035283510, 10341831284185696457115369929692899277744, 13763761782775655163269491267135122762944657, 13763753099449194589389206115983956054097407, 6227388721, 13774094922519202654021235100747063184195495, 39921840, 10888895353647678317903196847, 13763761774543963858202526315739574223498953, 355687428463926, 13763761774543997331447808069517809514736311], 'label': '15944266600786427904000.a.46512._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036209
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 10351049086147194674153439961945594521727, 7, 355687468017841, 44477334280722380196310398235070179504, 10386851874446490114124706245655999580737, 13774104174283151582709712095030617440740607, 8717269984883358161188617973153111800, 10368950736392155849428851612714523606961, 17901146896112389128274760348344382640, 13774112815425554794968896075569846127421791, 8222838669715092304335553320088744, 8691549310116927608456226668544000000, 5160, 121, 53695666928390355735393849598934386559, 13774086239192731191245646232918425600000000, 13763779684435351693692681600074163408235865, 10351040863297668378887050674786352476841, 8852650863190120306704384000000, 10351083038502361739306389796147539466585, 8717269984883384013083711763947582640, 8691540468354933868754272131194942640, 8222849543047373236077723648000000, 8231680464000141488429869825207807, 122000787876849966, 35802797141073536303911512458140748136, 13774130708304172985452244492762487218634816, 44511286646504344976583017103360000000, 62370258327017752128254993223104681647, 13763761799751838191601638430166625735905279, 51212587272118272000, 25217325871704303820431556608000000, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1627920._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036210
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 62379002829614023580337024810431580737, 13774086264391752873781619443003043271905279, 7, 26576214530318583609070741100026521727, 355687468017841, 44477334280722380196310398235070179504, 13774104174283151582709712095030617440740607, 8717269984883358161188617973153111800, 17901146896112389128274760348344382640, 26584437379878383089153609388080476841, 13774112815425554794968896075569846127421791, 8222838669715092304335553320088744, 8691549310116927608456226668544000000, 5160, 121, 53695666928390355735393849598934386559, 13774086239192731191245646232918425600000000, 8852650863190120306704384000000, 8717269984883384013083711763947582640, 35811001697315960875138307458587606961, 8691540468354933868754272131194942640, 8222849543047373236077723648000000, 8231680464000141488429869825207807, 122000787876849966, 13774104149092971677599042853523989712235865, 35802797141073536303911512458140748136, 13774130708304172985452244492762487218634816, 44511286646504344976583017103360000000, 26610175738136511952140882006355466585, 62370258327017752128254993223104681647, 51212587272118272000, 10888869450418352160768000001, 25217325871704303820431556608000000], 'label': '15944266600786427904000.a.1627920._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036211
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 42202339772808871948061140403523120, 10351040872139413620570875128942593100942, 62362035488348037250559736333069634151, 7, 355687468017841, 13763806803869456480540873347906139690001232, 53695675770152349475093542985759569847, 10359724199209764164126539226700092830672, 10341831292857655507831258588392193207807, 8691549310116927608456226668544000000, 5160, 121, 13774086239192731191245646232918425600000000, 10377617077827955187102608386461367569863, 53678717880440557160337425413445739007, 10377617086680863995130264316899774179504, 8852650863190120306704384000000, 13774086281367946805790588125455677707625904, 10341839506854499863535405609648128000000, 13763788910972544989003101520044340941274863, 8717278826629866542864337410824299007, 8222849543047373236077723648000000, 53695675770152323623198449194965099007, 122000787876849966, 13774104149092971677599042853523989712235865, 13763779701411534706619167725809771872740607, 44511286646504344976583017103360000000, 26610175738136511952140882006355466585, 10386826684255696617376570410782144681646, 51212587272118272000, 10377625327801672089471207215941576195326, 10341873486344777399561051048216525644806, 25217325871704303820431556608000000], 'label': '15944266600786427904000.a.1627920._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036212
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 62379002829614023580337024810431580737, 13774086264391752873781619443003043271905279, 10351049086147194674153439961945594521727, 62362035488348037250559736333069634151, 7, 355687468017841, 10359724199209764164126539226700092830672, 53695675770152349475093542985759569847, 13763753116425377617531396119967782369291190, 26584437379878383089153609388080476841, 10341831292857655507831258588392193207807, 8691549310116927608456226668544000000, 5160, 121, 13774086239192731191245646232918425600000000, 10377617077827955187102608386461367569863, 53678717880440557160337425413445739007, 10377617086680863995130264316899774179504, 8852650863190120306704384000000, 13774086281367946805790588125455677707625904, 10341839506854499863535405609648128000000, 35811001697315960875138307458587606961, 13763788910972544989003101520044340941274863, 8717278826629866542864337410824299007, 8222849543047373236077723648000000, 122000787876849966, 53695675770152323623198449194965099007, 13763779701411534706619167725809771872740607, 44511286646504344976583017103360000000, 10386826684255696617376570410782144681646, 51212587272118272000, 10341839533989562559881169293200865334710, 25217325871704303820431556608000000], 'label': '15944266600786427904000.a.1627920._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036213
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 5041, 42184057376646641878312600747267630, 44511295499155208166703323807744000000, 7, 28281870487089832474204622643987984228509094, 42035281721302634273078257751513085240477775, 8683317618811912505930771790938448424, 62404210703947044920905778724864000000, 28281826026192376683312705865604136960000000, 42035254618826430102644701739875206085627728, 8683317629700755945936546562048000000, 42035281747023319912867101827473519065019848, 28281861794991734273673807409644880567644721, 51090942171709440001, 62404210693073712532674414084831739729, 13774122041981041406603341302188721621079681, 42035254652778796158579254649841154441983009, 13774094930733188657310115659781875373627871, 8691549310116927608456226668544000000, 121, 28281861803772213677855189060848288923283327, 13774112840615124953955344650616756220653110, 6227020801, 121645100408832001, 42035290413346462396096666882945246403928240, 362881, 1307674368001, 15511210043330985984000001, 355687428096001, 35811011148854024459702537515747711135, 42035299605949582951744752337204100506083534, 8852650889042137045589360640001, 13774086273153949898095197271962747782813104, 8222849543047373236077723648000000, 39916801, 17935090420390844582943980126208000000, 28281852585430734862785537602323756215696415, 28281870461360294183552588443957351914351648, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1627920._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036214
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 13763771009331119997139182481084831740653110, 5041, 28271528655805816628544861947847160281019848, 44511295499155208166703323807744000000, 7, 28281870487089832474204622643987984228509094, 13763788902237493915851597468576761301079681, 62404210703947044920905778724864000000, 10341839506843611020095399834877018448424, 28281826026192376683312705865604136960000000, 42035254618826430102644701739875206085627728, 8683317629700755945936546562048000000, 10333190141601759582568827695580331267630, 51090942171709440001, 42035254652778796158579254649841154441983009, 13774094930733188657310115659781875373627871, 8691549310116927608456226668544000000, 42045614894989716962177428940474647707283327, 121, 6227020801, 42045614877995240665811864173500220087644721, 121645100408832001, 42035290413346462396096666882945246403928240, 10395552168237456648459623797064415739729, 10333156189235687977039887415246848000001, 362881, 1307674368001, 15511210043330985984000001, 355687428096001, 35811011148854024459702537515747711135, 42035299605949582951744752337204100506083534, 8852650889042137045589360640001, 13774086273153949898095197271962747782813104, 8222849543047373236077723648000000, 28271528630076300115631728588284343608477775, 39916801, 17935090420390844582943980126208000000, 28281852585430734862785537602323756215696415, 28281870461360294183552588443957351914351648], 'label': '15944266600786427904000.a.1627920._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036215
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 13763771009331119997139182481084831740653110, 5041, 44511295499155208166703323807744000000, 7, 42035281721302634273078257751513085240477775, 28271501561552462001132725486612412809983009, 13763788902237493915851597468576761301079681, 42045623552586650118738018443890415082351648, 62404210703947044920905778724864000000, 10341839506843611020095399834877018448424, 42045623578307335758526862523614343012509094, 8683317629700755945936546562048000000, 10333190141601759582568827695580331267630, 28271537330342956003958610119089906883928240, 42035281747023319912867101827473519065019848, 28281861794991734273673807409644880567644721, 51090942171709440001, 28271501519377246402150799340568740805627728, 13774094930733188657310115659781875373627871, 8691549310116927608456226668544000000, 42045596993339461097215021665710257335696415, 121, 28281861803772213677855189060848288923283327, 6227020801, 121645100408832001, 10395552168237456648459623797064415739729, 10333156189235687977039887415246848000001, 28271492870003151884205116396541050880000000, 362881, 1307674368001, 15511210043330985984000001, 355687428096001, 35811011148854024459702537515747711135, 28271546514732079667422512457577741722083534, 8852650889042137045589360640001, 13774086273153949898095197271962747782813104, 8222849543047373236077723648000000, 39916801, 17935090420390844582943980126208000000], 'label': '15944266600786427904000.a.1627920._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036216
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 5041, 42184057376646641878312600747267630, 28271528655805816628544861947847160281019848, 44511295499155208166703323807744000000, 7, 28271501561552462001132725486612412809983009, 42045623552586650118738018443890415082351648, 8683317618811912505930771790938448424, 62404210703947044920905778724864000000, 42045623578307335758526862523614343012509094, 8683317629700755945936546562048000000, 28271537330342956003958610119089906883928240, 51090942171709440001, 62404210693073712532674414084831739729, 13774122041981041406603341302188721621079681, 28271501519377246402150799340568740805627728, 13774094930733188657310115659781875373627871, 8691549310116927608456226668544000000, 42045614894989716962177428940474647707283327, 42045596993339461097215021665710257335696415, 121, 13774112840615124953955344650616756220653110, 6227020801, 42045614877995240665811864173500220087644721, 121645100408832001, 28271492870003151884205116396541050880000000, 362881, 1307674368001, 15511210043330985984000001, 355687428096001, 35811011148854024459702537515747711135, 28271546514732079667422512457577741722083534, 8852650889042137045589360640001, 13774086273153949898095197271962747782813104, 8222849543047373236077723648000000, 28271528630076300115631728588284343608477775, 39916801, 17935090420390844582943980126208000000, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1627920._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036217
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 10368950754696344776203536149476067711135, 5041, 28271528655805816628544861947847160281019848, 44511295499155208166703323807744000000, 7, 13763753125178721991171790918670680966813104, 42035281721302634273078257751513085240477775, 28271501553320770696117622327312841818448424, 13763770984141560742533394367721061786083534, 62404210703947044920905778724864000000, 8683317629700755945936546562048000000, 51090942171709440001, 13763761816728010330360496354229126085627728, 28281825992240021531866774213341660331267630, 42045614894989716962151527114375939541079681, 13774094930733188657310115659781875373627871, 8691549310116927608456226668544000000, 10377634081156918656436831800766308509094, 121, 28281861803772213677855189060848288923283327, 6227020801, 42045614877995240665811864173500220087644721, 121645100408832001, 362881, 1307674368001, 15511210043330985984000001, 8691549310116927609090071361929983009, 10333156189224799107589469063086080000000, 355687428096001, 13763797594290152896508936576205513923928240, 8852650889042137045589360640001, 8222849543047373236077723648000000, 39916801, 17935090420390844582943980126208000000, 13774130716535864290493357552796849642351648, 28281852585430723973916087188887143135739729, 28281826026192387572182156283956297728000001, 10395552168248345517910037233677495696415, 42035299648133618535007471034921703420653110], 'label': '15944266600786427904000.a.1627920._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036218
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [10368950754696344776203536149476067711135, 13774086247415580734293019468996149248000000, 5041, 44511295499155208166703323807744000000, 7, 13763753125178721991171790918670680966813104, 62404210703947044920905778724864000000, 28281826026192376683312705865604136960000000, 42045623578307335758526862523614343012509094, 8683317629700755945936546562048000000, 28271537330342956003958610119089906883928240, 51090942171709440001, 28271528664028655282722784765571415486651848, 53720893074261826037156219683551739728, 42035254652778796158579254649841154441983009, 28271501519377246402150799340568740805627728, 13763788902246335677845337170531304917079680, 13774094930733188657310115659781875373627871, 8691549310116927608456226668544000000, 42045614877995229776942413755148059319644720, 42045596993339461097215021665710257335696415, 121, 10341839506854499889545818187037786448430, 33961218722468719060587037867267624, 121645100408832001, 6227020801, 362881, 1307674368001, 15511210043330985984000001, 28281861811995052332033111878573851803283326, 10333156189224799107589469063086080000000, 355687428096001, 28271546514732079667422512457577741722083534, 13774112840615135842824795068968916988653104, 8852650889042137045589360640001, 8222849543047373236077723648000000, 39916801, 17935090420390844582943980126208000000, 42035281721293792511084518049558541624477774, 28281870461360294183552588443957351914351648], 'label': '15944266600786427904000.a.1627920._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036219
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [28271510728938256669617051688978992285751375, 8691567615160911122371091957175816671, 25852138739679080868480, 13774094930733188657310064568838389760000000, 8841761993790792896715325440126, 10351049086147194648301307956621857026616, 7, 17892906046897137921539274512536668847, 13763770992346106080549307418165297451399249, 13763779667449717126893328232625859078752121, 51212587272118272121, 1313941673647, 5160, 42045587766765681200551247293922011298755615, 26584446221608411530432151009019026264, 25852016738884976645161, 26584446255920125172600661086061893040, 28271519420478703246812019607655703454747512, 8691540457466064418335919964160000000, 26584446221608113511846052844826270087, 6267300486, 13763779667440875365493219310773775382762585, 28271519420716527092253133769905253428572726, 42035254610594749686447187203813142568124847, 28271519420479007779693756345444355274578231, 10341831284004956816162169531924480000000, 13774104132098495348780148979969522640640414, 15511261134628845121536127, 355687428096001, 17892905764157534503003144737595397161, 42035254610585298147764172983212169779445329, 26584693508687718169252412309637365345, 13774112823638941926000968792985490354543942, 40284721, 10888869450539997261176832007, 42045579075225223718813655504976073455606446, 42035272503473367876930484530063605760000000, 13774112823638952814870582593513561536681526, 13763779667440875349388429699926307293977607, 362881, 13763779667440886253769360470182997310596481, 28281834667325350135786989215005935869957455, 126], 'label': '15944266600786427904000.a.46512._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036220
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 28271555215017028856426097858717023648947207, 5041, 13774139934859649079865937949347213084131615, 7, 42045623578289031569006561287355292117487927, 17935099251279505934409654542715184968, 42045579083448062388502788369041412957982201, 28271519454449362603531388906687361967135135, 13774086273163390548016718795587761770916601, 26618408028313861628043822366720000000, 13774094930742041340490631040392609885448670, 8683317629700755945936546562048000000, 28271501519377257290994346529594671107600409, 13774148601228219539848269932639977771226737, 62395979023530873309477040790077440001, 8691549310116927608456226668544000000, 121645100408832001, 25852016738884976640001, 28271510762908905153165837901557189755122438, 17935099251279480082270913495040000001, 362881, 1307674368001, 13774148626427252110688162147634595361616304, 44486087635711056276431275652223424849, 13774122033209403716613122210645803008000121, 355687428096001, 13774094956489851121763090881446969840912288, 42045579117418721729628685447185039360000001, 13774086239192731191245646232918431827020801, 53720893074246288974969232162816000000, 28271492844264183848146133057922635478569646, 17892924057442699944322761621504000000, 8222849543047373236077723648000000, 13774112832392286284266160576615940135916801, 13774094956481020296413328652944959705455920, 28271528630049154179685205036931347358916432, 62379011671376420945658828588328783319, 28271537330361260193478911230682566231808017, 42045641462450902875910409881873212148834254, 8725511116838238638854712517436493209], 'label': '15944266600786427904000.a.1627920._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036221
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 28271555215017028856426097858717023648947207, 5041, 13774139934859649079865937949347213084131615, 28281888363001719175416507482566746868834254, 7, 42045623578289031569006561287355292117487927, 17935099251279505934409654542715184968, 13763753125197015291956502562602399338916601, 42045579083448062388502788369041412957982201, 28271519454449362603531388906687361967135135, 42035254618826440991488248928901136387600409, 26618408028313861628043822366720000000, 10395535200896175528535127891674408783319, 10377642276860510163865900338738303424849, 13774094930742041340490631040392609885448670, 8683317629700755945936546562048000000, 13763761808514623262614211583255275737455920, 13774148601228219539848269932639977771226737, 62395979023530873309477040790077440001, 8691549310116927608456226668544000000, 121645100408832001, 25852016738884976640001, 13763761808523475865702874648461607408912288, 28271510762908905153165837901557189755122438, 13763815470238027311580572678571509281616304, 17935099251279480082270913495040000001, 362881, 1307674368001, 13774122033209403716613122210645803008000121, 355687428096001, 13774086239192731191245646232918431827020801, 53720893074246288974969232162816000000, 28271492844264183848146133057922635478569646, 17892924057442699944322761621504000000, 8222849543047373236077723648000000, 13774112832392286284266160576615940135916801, 28271528630049154179685205036931347358916432, 28281826026192387572182156283956297728000001, 28271537330361260193478911230682566231808017, 10341873477513872037755924402201404493209], 'label': '15944266600786427904000.a.1627920._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036222
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 5041, 13774139934859649079865937949347213084131615, 7, 42035308314466212556920000258023488928947207, 17935099251279505934409654542715184968, 13763753125197015291956502562602399338916601, 26618408028313861628043822366720000000, 10395535200896175528535127891674408783319, 10377642276860510163865900338738303424849, 13774094930742041340490631040392609885448670, 42035272537452869011368313001332493435122438, 8683317629700755945936546562048000000, 28281825983998878688008885969734947677982201, 42035290413364766585616967994537905751808017, 28271501519377257290994346529594671107600409, 13763761808514623262614211583255275737455920, 13774148601228219539848269932639977771226737, 62395979023530873309477040790077440001, 8691549310116927608456226668544000000, 121645100408832001, 25852016738884976640001, 13763761808523475865702874648461607408912288, 13763815470238027311580572678571509281616304, 42035281721284340987994924320466793374916432, 17935099251279480082270913495040000001, 362881, 1307674368001, 28281870487062697411560032124126550485487927, 13774122033209403716613122210645803008000121, 355687428096001, 42045579117418721729628685447185039360000001, 13774086239192731191245646232918431827020801, 53720893074246288974969232162816000000, 17892924057442699944322761621504000000, 8222849543047373236077723648000000, 13774112832392286284266160576615940135916801, 42035263862358088837960872970073863087135135, 42035245927267690240284189821777974998569646, 10341873477513872037755924402201404493209, 42045641462450902875910409881873212148834254], 'label': '15944266600786427904000.a.1627920._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036223
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 5041, 13774139934859649079865937949347213084131615, 28281888363001719175416507482566746868834254, 7, 42035308314466212556920000258023488928947207, 17935099251279505934409654542715184968, 42035254618826440991488248928901136387600409, 13774086273163390548016718795587761770916601, 26618408028313861628043822366720000000, 13774094930742041340490631040392609885448670, 42035272537452869011368313001332493435122438, 8683317629700755945936546562048000000, 28281825983998878688008885969734947677982201, 42035290413364766585616967994537905751808017, 13774148601228219539848269932639977771226737, 62395979023530873309477040790077440001, 8691549310116927608456226668544000000, 121645100408832001, 25852016738884976640001, 42035281721284340987994924320466793374916432, 17935099251279480082270913495040000001, 362881, 1307674368001, 13774148626427252110688162147634595361616304, 28281870487062697411560032124126550485487927, 44486087635711056276431275652223424849, 13774122033209403716613122210645803008000121, 13774094956489851121763090881446969840912288, 355687428096001, 13774086239192731191245646232918431827020801, 53720893074246288974969232162816000000, 17892924057442699944322761621504000000, 8222849543047373236077723648000000, 13774112832392286284266160576615940135916801, 13774094956481020296413328652944959705455920, 42035263862358088837960872970073863087135135, 42035245927267690240284189821777974998569646, 28281826026192387572182156283956297728000001, 62379011671376420945658828588328783319, 8725511116838238638854712517436493209], 'label': '15944266600786427904000.a.1627920._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036224
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13763815453261844283788053699654615339226737, 13774086247415580734293019468996149248000000, 42035254618808147690811597188573069808912289, 5041, 13774139934859649079865937949347213084131615, 28281870495285525176842601294173795455424848, 7, 42035308314466212556920000258023488928947207, 42045597010324485872029749699977758241616310, 17935099251279505934409654542715184968, 13763753099449183700493902399306471507020801, 13763761774552816541383041571329523805448670, 26618408028313861628043822366720000000, 42035272537452869011368313001332493435122438, 8683317629700755945936546562048000000, 28281825983998878688008885969734947677982201, 42035290413364766585616967994537905751808017, 10351074833967881622178915982959348834255, 62395979023530873309477040790077440001, 8691549310116927608456226668544000000, 13763761816719179457210303841300512771237529, 121645100408832001, 25852016738884976640001, 42035281721284340987994924320466793374916432, 17935099251279480082270913495040000001, 362881, 1307674368001, 28281870487062697411560032124126550485487927, 42035254618799295087722934123366738137455921, 13774122033209403716613122210645803008000121, 10333156189224799107589469063086080000000, 355687428096001, 53720893074246288974969232162816000000, 17892924057442699944322761621504000000, 8222849543047373236077723648000000, 13774112832392286284266160576615940135916801, 28271510762908905137762533089526650799951319, 42035263862358088837960872970073863087135135, 28281834667316508388790632829062538044493208, 42035245927267690240284189821777974998569646, 42045579083448062373125441335699224170916600], 'label': '15944266600786427904000.a.1627920._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036225
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13763753125205857069353390099392075478569646, 5041, 13774094964694407364133710194592579584000121, 10351057857773964854711707963159471135135, 28281888363001719175416507482566746868834254, 13774139934859649079865937949347213084131615, 44511295499155208166703323807744000000, 7, 28271510762908916026606180649333769761616304, 17935099251279505934409654542715184968, 13763797594308457086029237687798173271808017, 28271501527572950009169438577098416956493209, 28271492844255342070749245521132959338916601, 42035254618826440991488248928901136387600409, 28271537339096311266604462243462870143424849, 13774094930742041340490631040392609885448670, 8683317629700755945936546562048000000, 53703889767044507755101275953235020801, 10333181937045517078086247349048157982201, 13763779709616080075012167209634102688947207, 8691549310116927608456226668544000000, 10377634054021856011846311939332565487927, 42045587758551684292693890603832869360912288, 62362026657474912802880651132967916920, 13774112849386762612923142251911944765440001, 25852016738884976640001, 121645100408832001, 53678717880425585578599879311659226737, 42045597010324474983186102261815739688783319, 1307674368001, 362881, 13763815470238016438140229930794929275122438, 13774148609451069097841321676580651008000120, 355687428096001, 53720893074246288974969232162816000000, 17926867570847797209707902402560000000, 8222849543047373236077723648000000, 13763788885270141761103669092633408414916432, 13774086264410057062949950053349982208000000, 28281826026192387572182156283956297728000001, 42045587758542853467344128375330859225455920], 'label': '15944266600786427904000.a.1627920._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036226
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [5041, 10359758151586693508674434177360628834254, 13774094964694407364133710194592579584000121, 13774139934859649079865937949347213084131615, 44511295499155208166703323807744000000, 7, 42035308314466212556920000258023488928947207, 28271510762908916026606180649333769761616304, 17935099251279505934409654542715184968, 28271501527572950009169438577098416956493209, 28271492844255342070749245521132959338916601, 28271537339096311266604462243462870143424849, 13774094930742041340490631040392609885448670, 42035272537452869011368313001332493435122438, 8683317629700755945936546562048000000, 53703889767044507755101275953235020801, 28281825983998878688008885969734947677982201, 28281879696660272502723000261800031151135135, 42035290413364766585616967994537905751808017, 8691549310116927608456226668544000000, 42045587758551684292693890603832869360912288, 62362026657474912802880651132967916920, 13763753099449194589363352817658626048000001, 13774112849386762612923142251911944765440001, 25852016738884976640001, 121645100408832001, 53678717880425585578599879311659226737, 42035281721284340987994924320466793374916432, 42045597010324474983186102261815739688783319, 1307674368001, 362881, 13763761816728021219204043543255056387600409, 28281870487062697411560032124126550485487927, 13774148609451069097841321676580651008000120, 355687428096001, 53720893074246288974969232162816000000, 17926867570847797209707902402560000000, 8222849543047373236077723648000000, 42035245927267690240284189821777974998569646, 13774086264410057062949950053349982208000000, 42045587758542853467344128375330859225455920], 'label': '15944266600786427904000.a.1627920._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036278
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 461890, 'diagramx': None, 'generators': [15511261134273157693440000, 5041, 8683326460573880235220148944896000000, 7, 13763753159176550690253534154616355189099007, 13763761782775655163243639128749742653440000, 13774094930751549791015983601839896170916600, 8841777504949745285529600000000, 10888869501509294332477440000, 13774086247424411607417359843542017882629737, 13763753099458025462513494117999900103249710, 39916920, 10341831292857655533683274971589741756727, 10333147975227922460468413718932919838726, 10904380711552981025656795751, 10904406512478777725821643814, 10333147966386160440876694668509184000000, 8222838669689132861056548864000000, 17909891410436456125061455195411548727, 13763761782775655163269440054546462147661503, 1307714289960, 25852016738884976640001, 126, 6227020801, 10333147975227922434667487937670283889961, 13774094922510350003132192842055004856763825, 367920, 8691540457481575679470550116958702766, 355687428101040, 42066844520082546695241380530848524805950760, 28281825992230569977538788866299651610319705, 8897899544731214669256893532720, 116634916495460441448435075789547998396727, 10333147975227906949309461729133643371567, 25903107681056686080000], 'label': '15944266600786427904000.a.1847560._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1847560.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1847560._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036227
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [5041, 13774094964694407364133710194592579584000121, 13774139934859649079865937949347213084131615, 28271510728938256670156731086063042859226737, 44511295499155208166703323807744000000, 7, 53703916891234115677648743880800754438, 13774130733503194667636298292893637077487926, 13774086281386240106441439065007674205982200, 28271510762908916026606180649333769761616304, 17935099251279505934409654542715184968, 28271492844255342070749245521132959338916601, 35794034965841663400227450123166916552, 42045587758561146720246253060558553091237529, 17926849277562631769292133236128947206, 44511313792455884920625897377367808023, 42045587800745193224695747436933660765448670, 8683317629700755945936546562048000000, 53703889767044507755101275953235020801, 13774112832410579585050926509693012994155935, 8691549310116927608456226668544000000, 62362026657474912802880651132967916920, 13774112849386762612923142251911944765440001, 25852016738884976640001, 121645100408832001, 28271492870003151884205116396541050880000000, 42045597010324474983186102261815739688783319, 1307674368001, 362881, 13774148609451069097841321676580651008000120, 44486087635711056276431275652223424849, 355687428096001, 42202339788345882917184575190569647, 13774094956489851121763090881446969840912288, 53720893074246288974969232162816000000, 17926867570847797209707902402560000000, 28271546539940552872778268130760385268834255, 8222849543047373236077723648000000, 13774094956481020296413328652944959705455920, 13774086264410057062949950053349982208000000, 8725511116838238638854712517436493209], 'label': '15944266600786427904000.a.1627920._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036228
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [42035254618808147690811597188573069808912289, 5041, 13774094964694407364133710194592579584000121, 13774139934859649079865937949347213084131615, 28271510728938256670156731086063042859226737, 28281870495285525176842601294173795455424848, 44511295499155208166703323807744000000, 7, 42035308314466212556920000258023488928947207, 17935099251279505934409654542715184968, 42045587758561146720246253060558553091237529, 42035272537452869011368313001332493435122438, 42045587800745193224695747436933660765448670, 8683317629700755945936546562048000000, 53703889767044507755101275953235020801, 28281825983998878688008885969734947677982201, 28281879696660272502723000261800031151135135, 42035290413364766585616967994537905751808017, 8691549310116927608456226668544000000, 62362026657474912802880651132967916920, 13774112849386762612923142251911944765440001, 25852016738884976640001, 121645100408832001, 42035281721284340987994924320466793374916432, 28271492870003151884205116396541050880000000, 10395526978057521350612188521011119951319, 362881, 1307674368001, 28281870487062697411560032124126550485487927, 13774148609451069097841321676580651008000120, 42035254618799295087722934123366738137455921, 355687428096001, 13763753125197004403087052144250238570916600, 53720893074246288974969232162816000000, 13763815478460865965758495496297072161616310, 17926867570847797209707902402560000000, 28271546539940552872778268130760385268834255, 8222849543047373236077723648000000, 42035245927267690240284189821777974998569646, 28281834667316508388790632829062538044493208, 13774086264410057062949950053349982208000000], 'label': '15944266600786427904000.a.1627920._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036229
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [42035254610576456401307495340953756476493209, 10888869450418352160768000006, 44503072649612160793467246084096000000, 13774139934859649079865937949347213084131615, 42035308314466212556920000258023488928947207, 42035290430322645424050991406691611775424849, 17935099251279505934409654542715184968, 42035254610585309036633674370847506928912288, 28281834675539347075206071611475519705455920, 8691540468354933919845214296637440000, 13774094930742041340490631040392609885448670, 42035272537452869011368313001332493435122438, 8683317629700755945936546562048000000, 28281852602415748748756618198429238568783319, 28281825983998878688008885969734947677982201, 17918104785839718505334594981312681647, 42035263828405733686406929821757688680759368, 10888869450539997261176832000, 10888895302435091045744640000, 8691549310116927608456226668544000000, 26584455673146770622956727042048000120, 10888869450418352160768362880, 10888869450418353468442368000, 17909881936281134018825503119443020800, 13774086239192731191245646232918425600000000, 53678717880425585578599879311659226737, 42035281721284340987994924320466793374916432, 10888869450418707848196096000, 28281870487062697411560032124126550485487927, 53720893074246288974969232162816000000, 42035245927258848462887302284988298858916601, 13774086264410046174080499634997821479916800, 17926867570847797209707902402560000000, 8222849543047373236077723648000000, 8717278837518710141143948591107600409, 13774112857600770394002576833483825908834254, 42035245927267690240284189821777974998569646, 42035272537452879884808655749109073441616304, 28281843876914094353203829453253182923852942, 10888869450418352160768005040, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1627920._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036230
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [8691540457466090270474660944648742814, 13763761774543974762852948486409018363804806, 42035263828378587719221911951239867768832001, 28271510728929404034239221389042050960673846, 5041, 7, 28281852560222250737563763440158761788855990, 42035272503482220527794424623660512186721494, 28271519420469861484792427766208266240000000, 70349260977902332325792110818172341484436526, 42045605659662603564907524417478852608000001, 84857018607373710897893410933994746547817607, 8691540457466064418335919964160000000, 84867343072031330881476544128359947179594832, 56595841034642373424405848979226888744605151, 28281852560222250737537911301774770176000001, 56595832343093085100728994067661725542173790, 10341831302320857351801364091751872313721, 8691540468370445080712686938024983057, 121, 56595841034642384313301153719927110841853024, 13763753099458025510316279586780380883541350, 6227020801, 13763753099449183700493902399306465280000000, 362881, 1307674368001, 84867343072022478215075649280341442560000001, 10333156189224799107589469063086080000000, 355687428096001, 13763753099449228916966186064657022715458145, 8691540457466090270352658849136640001, 13774094930733188657310115659780561469440001, 56585507878453148625298259631814428708897967, 98631104846566452962173426815207791984674854, 39916801, 70359585442551099658835282073316245363475200, 42045605659662592691549284042457677824000001, 42045596968122146098843106203203988898753263], 'label': '15944266600786427904000.a.46512._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036231
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [28271537322120117365805622664437350146250942, 42035254610576456401307495340953756476493209, 44503072649612160793467246084096000000, 13774139934859649079865937949347213084131615, 42035290430322645424050991406691611775424849, 17935099251279505934409654542715184968, 13763771026307303025227370260065725392645046, 42035254610585309036633674370847506928912288, 28281843902103664496704868792493400331352246, 17918104774950849054916242820544681641, 13763815478452013314625494624833991109078695, 17918104774950849054915887133116585647, 10386860609486690259311006642990130825592, 28281834675539347075206071611475519705455920, 42045605685392120125675096067817458422994225, 17918104774950849054916241512870313647, 17918104774950849054916242820544318767, 28271555206263695355981980926210080768000120, 8683317629700755945936546562048000000, 28271501519377257290994346529594671107600409, 28271510771113461395266691146782199232681647, 26593199555108557576525769487235241647, 17918104774950849054916242820544681646, 8691549310116927608456226668544000000, 42035263845354770747202190794905815336473601, 13774086239192731191245646232918425600000000, 10395526978057536484099719683819508828737, 42035254618799305928951720999049955591572479, 28271546548684434819002307379339991123020800, 42045579100424245400971754862831206439916800, 53720893074246288974969232162816000000, 17926867570847797209707902402560000000, 42035299639920242292896553928563344899779240, 42035281755227865266612338047685434340280393, 8222849543047373236077723648000000, 13763806812092295134718796045078764608292191, 17918104774950849054794597720135849647, 17918104774950849054916242820544676607, 17918104774950823202899503935568041647, 28281826026174083398147213077306340505376120, 42045641462450902875910409881873212148834254], 'label': '15944266600786427904000.a.1627920._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036232
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [42035254610576456401307495340953756476493209, 44503072649612160793467246084096000000, 13774139934859649079865937949347213084131615, 28271510728938256670156731086063042859226737, 42045632787877176914628665165245002413099809, 42035290430322645424050991406691611775424849, 17935099251279505934409654542715184968, 42035254610585309036633674370847506928912288, 28281843902103664496704868792493400331352246, 13763753125197015291956502562602399338916601, 28271546539949383761413818548986039744681527, 17918104774950849054916242820544681641, 17918104774950849054915887133116585647, 28281834675539347075206071611475519705455920, 17918104774950849054916241512870313647, 17918104774950849054916242820544318767, 13763806778148770840482371672313777000759368, 10395535200896175528535127891674408783319, 42045587800745193224695747436933660765448670, 8683317629700755945936546562048000000, 28271519437464337828986471623576243651556054, 26593199555108557576525769487235241647, 28271555206272537133512833901178762605660847, 17918104774950849054916242820544681646, 8691549310116927608456226668544000000, 42035263845354770747202190794905815336473601, 13774086239192731191245646232918425600000000, 42045596968130987876373959056527576472764847, 13763815470238027311580572678571509281616304, 28271492870003151884205116396541050880000000, 42035254618799305928951720999049955591572479, 53720893074246288974969232162816000000, 17926867570847797209707902402560000000, 42035299639920242292896553928563344899779240, 42035281755227865266612338047685434340280393, 8222849543047373236077723648000000, 17918104774950849054794597720135849647, 17918104774950849054916242820544676607, 10386826657131507279271303809271243852942, 17918104774950823202899503935568041647, 28281826026174083398147213077306340505376120], 'label': '15944266600786427904000.a.1627920._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036366
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [13763761782775655178780701310821715392681647, 13763770984123267426399484496989080621481646, 121, 8683335945601265733114011810768640000, 7, 10341839515696277394388380578336192681647, 8852650863190120306704384000000, 8222838669715036090739707328681647, 8691540468370470982027286269376681647, 355693695401647, 40284847, 15511261256275259472041647, 5167, 13763771001108281327450049498026187365356926, 13763753099458025462541594393045312202301230, 25903229683158464681647, 6227388847, 1313941673647, 15591172233633733877817606, 122002101778601647, 10904380660461683146752000000, 363007, 51091299173079209647], 'label': '15944266600786427904000.a.2116296._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036233
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [35827969038581327931483174869075020801, 42035254610576456401307495340953756476493209, 28271555215017028856426097858717023648947207, 53720884243373164685685629779968000000, 5041, 10359758151586693508674434177360628834254, 13774139934859649079865937949347213084131615, 7, 42045623578289031569006561287355292117487927, 42035290430322645424050991406691611775424849, 17935099251279505934409654542715184968, 42035254610585309036633674370847506928912288, 28281834675539347075206071611475519705455920, 42045579083448062388502788369041412957982201, 13774122024986554189076959017899065344000001, 13774094930742041340490631040392609885448670, 8683317629700755945936546562048000000, 28281852602415748748756618198429238568783319, 13774148601228219539848269932639977771226737, 8691549310116927608456226668544000000, 26576232834492592700139001479168000000, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 42035254652751672000423386940990114664759368, 28271510762908905153165837901557189755122438, 42035299648151922709042363150273807819852942, 10333156189235687977039887415246848000001, 13763761816728021219204043543255056387600409, 1307674368001, 362881, 355687428096001, 53686931877317204230180182294528000000, 35819755041689143748367403843623916801, 42035245927258848462887302284988298858916601, 28271492844264183848146133057922635478569646, 13774139926133439381574165696703102976000121, 17892924057442699995413703793213440001, 8222849543047373236077723648000000, 28271528630049154179685205036931347358916432, 42035272537452879884808655749109073441616304], 'label': '15944266600786427904000.a.1627920._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036234
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [35827969038581327931483174869075020801, 28271555215017028856426097858717023648947207, 53720884243373164685685629779968000000, 5041, 13774139934859649079865937949347213084131615, 7, 42045623578289031569006561287355292117487927, 28271510762908916026606180649333769761616304, 17935099251279505934409654542715184968, 42045579083448062388502788369041412957982201, 28271501527572950009169438577098416956493209, 13774122024986554189076959017899065344000001, 28271492844255342070749245521132959338916601, 28271501527581802644495617606992167408912288, 28271537339096311266604462243462870143424849, 13774094930742041340490631040392609885448670, 8683317629700755945936546562048000000, 13774148601228219539848269932639977771226737, 8691549310116927608456226668544000000, 28271546556916735900732643866738361803852942, 26576232834492592700139001479168000000, 121645100408832001, 25852016738884976640001, 13774086239192731191245646232918425600000000, 28271510762908905153165837901557189755122438, 42045597010324474983186102261815739688783319, 1307674368001, 362881, 355687428096001, 53686931877317204230180182294528000000, 35819755041689143748367403843623916801, 28271492844264183848146133057922635478569646, 13774139926133439381574165696703102976000121, 17892924057442699995413703793213440001, 8222849543047373236077723648000000, 13774094964685565602139970492638035971600409, 28271528630049154179685205036931347358916432, 17926867581736692512264645436148834254, 28271501561534168716101147061363755880759368, 10888869450418352160768000001, 42045587758542853467344128375330859225455920], 'label': '15944266600786427904000.a.1627920._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036235
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [42045597010324474983186102261815739688783319, 10359766374425347686597251902923508834255, 35819755041689143748367403843623916801, 8222849543047373236077723648000000, 13763806778167064125513949463717740544000121, 7, 35827969038581327931483174869075020801, 42035254610576456401307495340953756476493209, 8683317629700755945936546562048000000, 8691549310116927608456226668544000000, 28281825983998889576878336388087108445982200, 42035245927267679351414739403425814230569647, 1307674368001, 121645100408832001, 28281834675539347075206071611475519705455920, 28281870495285536065737954941852113365487926, 28271510762908916026606180649333769761616304, 5041, 28271501561534168716101147061363755880759368, 42035290430322645424050991406691611775424849, 10333156189224799107589469063086080000000, 25852016738884976640001, 17935099251279505934409654542715184968, 26576232834492592700139001479168000000, 53720884243373164685685629779968000000, 17892924057442699995413703793213440001, 13763761808505182565026120725529493507237529, 42035281721284351876864374738818954142916552, 355687428096001, 13774139934859649079865937949347213084131615, 13774122024986554189076959017899065344000001, 28271546556916735900732643866738361803852942, 53686931877317204230180182294528000000, 42035299631148593745033504739829087648947206, 42035254610585309036633674370847506928912288, 13763761774552816541383041571329523805448670, 13763815453261844283788053699654615339226737, 42035272545675707665546235819056748640754438, 362881, 13774086239192731191245646232918425600000000, 28271492844255342070749245521132959338916601], 'label': '15944266600786427904000.a.1627920._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036236
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [42035254610576456401307495340953756476493209, 13774086247415580734293019468996149248000000, 13774148626427241237247819399858015355122438, 5041, 13774130742283684992952644041090240087808017, 28281888363001719175416507482566746868834254, 13774139934859649079865937949347213084131615, 7, 13774104132098484444507500407144772527135135, 35794034954952793949809097962398916432, 42035290430322645424050991406691611775424849, 17935099251279505934409654542715184968, 42035254610585309036633674370847506928912288, 13774086281386229217571988646655513437982201, 28281834675539347075206071611475519705455920, 42035254618826440991488248928901136387600409, 42202350677215333335536735958569646, 8691540457466064418335919964160000000, 13774094930742041340490631040392609885448670, 28281852602415748748756618198429238568783319, 13774148601228219539848269932639977771226737, 13774104157288675253433298592544718848000121, 8691549310116927608456226668544000000, 26576232834492592751229943650877440001, 121645100408832001, 25852016738884976640001, 62362026657474912802880651132928000000, 362881, 1307674368001, 62387216227618387990321424891943916801, 26584464514908764362658681585664000000, 355687428096001, 42035245927258848462887302284988298858916601, 53678717880440531257107742261248000001, 8222849543047373236077723648000000, 35827969038581327931483174862848000000, 62370258337891084465400331245651020801, 42035272537452879884808655749109073441616304, 28281826026192387572182156283956297728000001, 26610166896374518264810327637408947207, 13774130725280356013458375475168074197487927], 'label': '15944266600786427904000.a.1627920._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036237
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 13774148626427241237247819399858015355122438, 5041, 13774130742283684992952644041090240087808017, 13774139934859649079865937949347213084131615, 7, 13774104132098484444507500407144772527135135, 35794034954952793949809097962398916432, 28271510762908916026606180649333769761616304, 17935099251279505934409654542715184968, 13774086281386229217571988646655513437982201, 28271501527572950009169438577098416956493209, 28271492844255342070749245521132959338916601, 42202350677215333335536735958569646, 28271501527581802644495617606992167408912288, 8691540457466064418335919964160000000, 28271537339096311266604462243462870143424849, 13774094930742041340490631040392609885448670, 28271501519377257290994346529594671107600409, 13774148601228219539848269932639977771226737, 13774104157288675253433298592544718848000121, 8691549310116927608456226668544000000, 26576232834492592751229943650877440001, 28271492870003162773074566814893211648000001, 25852016738884976640001, 121645100408832001, 62362026657474912802880651132928000000, 42045597010324474983186102261815739688783319, 1307674368001, 362881, 62387216227618387990321424891943916801, 26584464514908764362658681585664000000, 355687428096001, 53678717880440531257107742261248000001, 8222849543047373236077723648000000, 35827969038581327931483174862848000000, 62370258337891084465400331245651020801, 42045641462450902875910409881873212148834254, 26610166896374518264810327637408947207, 13774130725280356013458375475168074197487927, 42045587758542853467344128375330859225455920], 'label': '15944266600786427904000.a.1627920._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036238
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774148626427241237247819399858015355122438, 5041, 13774130742283684992952644041090240087808017, 28271510728938256670156731086063042859226737, 13774139934859649079865937949347213084131615, 7, 13774148643394582487427377018390446119916801, 35794034954952793949809097962398916432, 42045597010324485872029749699977758241616310, 17935099251279505934409654542715184968, 13774086281386229217571988646655513437982201, 42202350677215333335536735958569646, 13774094956481009407543878234592798937455921, 8691540457466064418335919964160000000, 42045587758561146720246253060558553091237529, 42045587800745193224695747436933660765448670, 42045587758569977593370593435103107645440001, 26584455662257901172538374881280000000, 8691549310116927608456226668544000000, 44494310474365234199249001215103424848, 121645100408832001, 25852016738884976640001, 28271492870003151884205116396541050880000000, 362881, 1307674368001, 42045641462459744637878297445436882944000121, 355687428096001, 53686931877317204230180182294528000000, 42045579092210259413168232208743333888000001, 53720893074246288974969232162816000000, 13774148601209937127583549085340988335135135, 28271546539940552872778268130760385268834255, 28271528621853461461427953753049929811020801, 8222849543047373236077723648000000, 28271510762908905137762533089526650799951319, 8725511127727108089273064678204493208, 13774086264410057062949950053349982208000000, 8725519958584695367466254107120912289, 26610166896374518264810327637408947207, 42045579083448062373125441335699224170916600, 13774130725280356013458375475168074197487927], 'label': '15944266600786427904000.a.1627920._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036268
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 831402, 'diagramx': None, 'generators': [13763761816728010330360496232583952342364840, 15511261134273157693440000, 1313941673647, 8841761993790792896715325440000, 5041, 10422688623987898899353052445411418479926, 10341839515696277394388258576234414080000, 7, 8841777504950001738968462851504, 13774094930733199546205367003929441907047470, 13774086239192731206782708293343990255708449, 8717288323384941827090209007321841966, 8222838654177973908667734589440000, 13763753091226345046316030794168174518277040, 10888869501509294332477440000, 6266937600, 10333156189224799107589590722154782684038, 13774086247415569845423620520435122918481966, 8691549310132438869716668360140919087, 126, 13774086247415569845423622448306939658218590, 367920, 13763761774552816524602727280151885295182656, 10333232892752280328303929778488678206767, 10369026900549554945553528077086136489646, 13795351701017407129166286441236970218940846, 8683317629700781849171901292237511390, 8683317618811886546609136572989440000, 39916801, 122002101778601647, 13774094930733199561690725035798196623654273, 355687428096127, 356995142744377, 25903107681056686080000, 10341831311207820306456049294150275820920, 13785018544306495772515166415444691885036806], 'label': '15944266600786427904000.a.1662804._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1662804.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1662804._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036239
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774139934868501343569218218423353344000121, 28271555215017028856426097858717023648947207, 42045587758542842578474677956978698457455921, 53720884243373164685685629779968000000, 42035272503482220528359206185838346539226737, 5041, 13774139934859649079865937949347213084131615, 42035299622952890153551824221899268475184968, 7, 42045623578289031569006561287355292117487927, 42035254618817599229494509226946592771237529, 53712670246496491712613189746727916800, 35811019979727148695845683593255916801, 42045579083448062388502788369041412957982201, 8691540457466064418335919964160000000, 28281826026192376683312705865604136960000000, 13774094930742041340490631040392609885448670, 10341831302309162007440459740308411780168, 28271537347319149920782385061188433023424848, 28281879679684100363530011964372345588834255, 8691549310116927608456226668544000000, 26576232834492592751229943650877440001, 121645100408832001, 25852016738884976640001, 13774104157288675253433298592544725075020801, 62362026657474912802880651132928000000, 362881, 1307674368001, 13763815470238016438140229930794929275122438, 28271510771131754680784103467059332641616310, 355687428096001, 17901146885208008416722135023616000000, 13763761816746314519880797466187170288912289, 28271492844264183848146133057922635478569646, 28271492844255331181879795102780798570916600, 28271501527572960898038888995450577724493208, 8222849543047373236077723648000000, 42045641454218612683023671917726336459852936, 28271528630049154179685205036931347358916432, 42045597002101636329008179322445076399951319, 13774104132116788633945590555680047104000000], 'label': '15944266600786427904000.a.1627920._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036240
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774139934868501343569218218423353344000121, 53720884243373164685685629779968000000, 42035272503482220528359206185838346539226737, 5041, 13774139934859649079865937949347213084131615, 28271528630049165068554655455283508126916552, 42035299622952890153551824221899268475184968, 7, 42035254618817599229494509226946592771237529, 53712670246496491712613189746727916800, 28271510762908916026606180649333769761616304, 35811019979727148695845683593255916801, 28271501527572950009169438577098416956493209, 28271492844255342070749245521132959338916601, 8691540457466064418335919964160000000, 28271537339096311266604462243462870143424849, 28281826026192376683312705865604136960000000, 13774094930742041340490631040392609885448670, 28271546531699410044539602340522622368947206, 28281879679684100363530011964372345588834255, 8691549310116927608456226668544000000, 26576232834492592751229943650877440001, 42045632770900993871137176399531935179852942, 10341831311150924001180161694845800759368, 121645100408832001, 25852016738884976640001, 13763806786920397626253734412599220320754438, 13763761808523475865702874648461607408912288, 13774104157288675253433298592544725075020801, 62362026657474912802880651132928000000, 42045597010324474983186102261815739688783319, 362881, 1307674368001, 355687428096001, 17901146885208008416722135023616000000, 42045579083448073277372238787393573725982200, 8222849543047373236077723648000000, 28271492844264172959276682639570474710569647, 42045623586511870223184484105080854997487926, 42045587758542853467344128375330859225455920, 13774104132116788633945590555680047104000000], 'label': '15944266600786427904000.a.1627920._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036241
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [8691540457466064418335919964160000000, 40284721, 355687428096001, 15511261134628845121536127, 42035272503473367876930484530063605760000000, 10341831284004956816162169531924480000000, 5160, 362881, 8222838654177922817725562880000001, 10888869450539997261176832007, 28271519420488188258660404106461803647033607, 13774094930733188657310064568838389760000000, 7, 6267300486, 25852016738884976645161, 8841761993790792896715325440126, 126, 51212587272118272121, 25852138739679080868480, 1313941673647, 42035263820155749112898478514128762931077551], 'label': '15944266600786427904000.a.46512._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036242
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [42035254610576456401307495340953756476493209, 13774086247415580734293019468996149248000000, 44469120283556200337961798604883020920, 42035272503482220528359206185838346539226737, 42035281721284351876864374738818954142916552, 5041, 13774139934859649079865937949347213084131615, 42035299622952890153551824221899268475184968, 7, 42035254618817599229494509226946592771237529, 42035290430322645424050991406691611775424849, 42035299631148593745033504739829087648947206, 13774086264410057062949950053349988474937600, 53712670246480980502569858760704000000, 28281834675539347075206071611475519705455920, 26576241665365716989422603862016000000, 8691540457466064418335919964160000000, 28281825983998889576878336388087108445982200, 62379011671376125383018424241154155935, 28281826026192376683312705865604136960000000, 13774094930742041340490631040392609885448670, 42035245927267679351414739403425814230569647, 28281852602415748748756618198429238568783319, 28281879679684100363530011964372345588834255, 13774130716535864290493408521736919613440001, 28281870495285536065737954941852113365487926, 8691549310116927608456226668544000000, 121645100408832001, 25852016738884976640001, 362881, 1307674368001, 13774094922510360892001592169464993875020801, 355687428096001, 13774094956489851121763090881446969840912288, 26610185200548553155644448964608000000, 42035245927258848462887302284988298858916601, 8222849543047373236077723648000000, 25217325887215513863762548819020800, 13774130750506523647130566858815802967808023, 42035272537452879884808655749109073441616304, 13774139943109622425361323881662306400754438], 'label': '15944266600786427904000.a.1627920._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036243
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 13774148626427241237247819399858015355122438, 44469120283556200337961798604883020920, 42035272503482220528359206185838346539226737, 5041, 13774130742283684992952644041090240087808017, 13774139934859649079865937949347213084131615, 42035299622952890153551824221899268475184968, 7, 42035272545675718538986578566834636321616310, 42035308314466212556920000258023488928947207, 42035254618817599229494509226946592771237529, 13774086264410057062949950053349988474937600, 53712670246480980502569858760704000000, 42035290438545484078228914224417174655424848, 26576241665365716989422603862016000000, 8691540457466064418335919964160000000, 28281826026192376683312705865604136960000000, 13774094930742041340490631040392609885448670, 28281825983998878688008885969734947677982201, 28281879679684100363530011964372345588834255, 13774130716535864290493408521736919613440001, 8691549310116927608456226668544000000, 121645100408832001, 25852016738884976640001, 53695694052564238887500229833647135135, 42035281721284340987994924320466793374916432, 28281834675539336186336621193123358937455921, 362881, 1307674368001, 28281870487062697411560032124126550485487927, 42035245927258837574017851866636138090916600, 13774094922510360892001592169464993875020801, 28281852594192910094578695259058575279951319, 355687428096001, 26610185200548553155644448964608000000, 8222849543047373236077723648000000, 13774094964712689775941013699172532720912289, 25217325887215513863762548819020800, 42035245927267690240284189821777974998569646, 42035254610576467290176945759305917244493208], 'label': '15944266600786427904000.a.1627920._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036244
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [70349314682332045755248970913030242260985888, 141452824382502239396562596921225576448000001, 28345632088346463967220860299302731717829448, 13763761774552816541382985236087269690193961, 5041, 28335307631920546177225115027841129409640902, 8683326460573880235220148944896000000, 7, 13774094922519191780637198922582788571632304, 141400013514225862964974500974489141015623374, 42099060714915199934011139208089577197970496, 126913521313157876282714426125079444823369023, 98609865977941343828290886913001783296000000, 141410346662192249094392957460849229824000000, 95413906751196856480543678819074048000000, 51090942171709440001, 10333156189224799133441607447071469072415, 8691549310116927608456226668544000000, 95413914974024621789017740941858560662976, 121, 42056511414282523483027301815421298530181551, 25852016738884976640001, 6227020801, 121645100408832001, 8852650863190120306704384000000, 13763753099449183700493902399306465280000000, 362881, 1307674368001, 56542994380608771516231716293790300191349902, 355687428096001, 95413906751185983148155442538879752299583, 10333147966397033799117069689683968000000, 39916801, 126860119962307248503733806272872805942106758, 56542985697282300053507883055397853934563982, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1627920._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036245
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [70349314682332045755248970913030242260985888, 141452824382502239396562596921225576448000001, 28345632088346463967220860299302731717829448, 13763761774552816541382985236087269690193961, 5041, 28335307631920546177225115027841129409640902, 8683326460573880235220148944896000000, 42035245961229496946058209512513460974563982, 7, 13774094922519191780637198922582788571632304, 42099060714915199934011139208089577197970496, 126913521313157876282714426125079444823369023, 98609865977941343828290886913001783296000000, 31589909524383594610588143168651264000001, 141410346662192249094392957460849229824000000, 95413906751196856480543678819074048000000, 51090942171709440001, 10333156189224799133441607447071469072415, 126871016999666025331403571138986671895623374, 63823997235665928270207838029093640299583, 8691549310116927608456226668544000000, 95413914974024621789017740941858560662976, 121, 42056511414282523483027301815421298530181551, 25852016738884976640001, 6227020801, 121645100408832001, 8852650863190120306704384000000, 13763753099449183700493902399306465280000000, 362881, 1307674368001, 56542994380608771516231716293790300191349902, 355687428096001, 10333147966397033799117069689683968000000, 39916801, 126860119962307248503733806272872805942106758], 'label': '15944266600786427904000.a.1627920._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036397
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '50388.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': 50388, 'diagramx': None, 'generators': [28303082753761410586836167787114323352561840, 8231680416197565749363264920764841, 368046, 42045579083448073261914980776335909163008127, 8691549299243595271310888652224681647, 51212587278385209607, 121, 122000794103865600, 7, 8222838654177922939370663328753840, 10333156189224814644702742077224261744041, 25852017094578671673600, 8852666454204472160872423557430, 6266937607, 10904380660583328247200753846, 5167, 8222838669715035969094600692828847, 13774094930733199561716628260204688709744047, 10888869450539997267403852801, 13774104149092994261784754671333520709376121, 25852016738891203660921, 39921847, 13763761782766813416815117461807012194468486], 'label': '15944266600786427904000.a.50388.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '50388.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '50388.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036246
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [141452824382502239396562596921225576448000001, 13763761774552816541382985236087269690193961, 5041, 28335307631920546177225115027841129409640902, 8683326460573880235220148944896000000, 7, 74165836751340396851521589566379776662976, 13774094922519191780637198922582788571632304, 126913521313157876282714426125079444823369023, 98609865977941343828290886913001783296000000, 31598601064830171831408199120440045072415, 141410346662192249094392957460849229824000000, 56628048537943432736869630665675177925829448, 95413906751196856480543678819074048000000, 51090942171709440001, 70338337381305208238675248355146393442181551, 31589909515541832616848441214107648000000, 8691549310116927608456226668544000000, 121, 28314050870399135344382904718886600660985888, 121645100408832001, 6227020801, 25852016738884976640001, 8852650863190120306704384000000, 13763753099449183700493902399306465280000000, 42035245969452335600236132330239023854563976, 70402143460444940993519242877137069805970496, 362881, 1307674368001, 42035254644555968408782042750905907231349902, 355687428096001, 10333147966397033799117069689683968000000, 85080758784799838218488791201356552299463, 39916801, 155163766605452208011290480556070043415623375, 126860119962307248503733806272872805942106758], 'label': '15944266600786427904000.a.1627920._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036247
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 10333147966397033825021836697241506178911, 13763761774552816541382985236087269690193961, 5041, 70359639155203662615828305117263822848000000, 13774094922510360907512854194424127530850769, 8691540457466090322725188813701367975, 113085971344148274315355098760493294926833857, 8683326460573880235220148944896000000, 7, 13763753099449183700519756587224099208479055, 13774094922519191780637198922582788571632304, 113149759546845592840709414349134552432640001, 13774094930742041323710316749214965367099735, 126849733126923918621966650041108000184484481, 13763753099449183700493953490604397832175302, 10341831292857607679352289838628864000000, 13774086239192731206782759384287523375563566, 8683317629700997765002559189934629686, 121, 126860111287221299219149522977295756664832001, 6227020801, 8852650863190120306704384000000, 13774086239192731206782759384286155738461144, 362881, 1307674368001, 8231680431708775671047903695498014, 355687428096001, 10341839515685372987875780511197788301854, 10333147975227922434616396623052800000001, 84909883179539854358128329316857151488000000, 13774086247415580749830132741654600004517414, 85080767016480238853089128809496576000000, 8222849543047373236077723648000000, 39916801, 13774094930733188672847126751321851306638646, 10333156198077465482040724013911513471135, 141452833057588166887896820548998896189440001], 'label': '15944266600786427904000.a.1627920._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036248
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 10333147966397033825021836697241506178911, 13763761774552816541382985236087269690193961, 5041, 70359639155203662615828305117263822848000000, 13774094922510360907512854194424127530850769, 8691540457466090322725188813701367975, 8683326460573880235220148944896000000, 7, 13763753099449183700519756587224099208479055, 13774094922519191780637198922582788571632304, 126849733126915076859972910339153456568484480, 113149759546845592840709414349134552432640001, 13774094930742041323710316749214965367099735, 13763753099449183700493953490604397832175302, 10341831292857607679352289838628864000000, 13774086239192731206782759384287523375563566, 113085971344157116077348838462447838542833863, 8683317629700997765002559189934629686, 121, 126860111287221299219149522977295756664832001, 6227020801, 8852650863190120306704384000000, 13774086239192731206782759384286155738461144, 362881, 1307674368001, 8231680431708775671047903695498014, 355687428096001, 10341839515685372987875780511197788301854, 10333147975227922434616396623052800000001, 84909883179539854358128329316857151488000000, 13774086247415580749830132741654600004517414, 85080767016480238853089128809496576000000, 8222849543047373236077723648000000, 39916801, 13774094930733188672847126751321851306638646, 10333156198077465482040724013911513471135, 141452833057588166887896820548998896189440001], 'label': '15944266600786427904000.a.1627920._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036249
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774086247415580734293019468996149248000000, 10333147966397033825021836697241506178911, 13763761774552816541382985236087269690193961, 5041, 13774094922510360907512854194424127530850769, 8691540457466090322725188813701367975, 8683326460573880235220148944896000000, 7, 13763753099449183700519756587224099208479055, 13774094922519191780637198922582788571632304, 13774094930742041323710316749214965367099735, 70359639146989665723644122001492803584000000, 13763753099449183700493953490604397832175302, 10341831292857607679352289838628864000000, 13774086239192731206782759384287523375563566, 8683317629700997765002559189934629686, 8231680416171662519680106496000000, 121, 84846112894937837436152881240088615485440001, 6227020801, 8852650863190120306704384000000, 13774086239192731206782759384286155738461144, 362881, 1307674368001, 8231680431708775671047903695498014, 355687428096001, 155131568312279240382915981647232534494193857, 85089450325257304257054988380340224000001, 10341839515685372987875780511197788301854, 84909883179539854358128329316857151488000000, 13774086247415580749830132741654600004517414, 39916801, 13774094930733188672847126751321851306638646, 155206253000856978440146272630251908472832001, 10333156198077465482040724013911513471135, 42099060723138049461547302278835527024640001, 155121243847621642224522996951716195768484481, 95413914974024621789016078192476160000000], 'label': '15944266600786427904000.a.1627920._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036250
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 813960, 'diagramx': None, 'generators': [13774094964703858950591251470670522585455921, 13774148626427241237247819399858015355122438, 5041, 13774130742283684992952644041090240087808017, 28271510728938256670156731086063042859226737, 7, 35794043796714787689511052506014916552, 13774104132098484444507500407144772527135135, 26618389735028696187628053200288947206, 28271510762908916026606180649333769761616304, 17935099251279505934409654542715184968, 13774086239192742080115096651270586368000001, 13774086281386229217571988646655513437982201, 8717269995756716401441994053754937600, 42045587792522354570517824619208097885448664, 28271492844255342070749245521132959338916601, 26576241665365716989422603862016000000, 28271501519368415529000606827640127491237529, 8725492823522024924932309621309440001, 8683317629700755945936546562048000000, 33979512023037410517811173078569647, 8691549310116927608456226668544000000, 35827977869454452220766777245696000000, 121645100408832001, 17901146885208008416722135029843020801, 25852016738884976640001, 28271492870003151884205116396541050880000000, 53678709027774156856944104570880000000, 362881, 1307674368001, 44486087635711056276431275652223424849, 355687428096001, 17926876423498660399828209113171020920, 8222849543047373236077723648000000, 13774148618177267907263643510872600348131615, 13774094964712689775941013699172532720912289, 53712661393845628522492883042343916800, 42045641462450902875910409881873212148834254, 8725511116838238638854712517436493209, 42045597002101636329008179322445076399951319, 13774130725280356013458375475168074197487927], 'label': '15944266600786427904000.a.1627920._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036251
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 813960, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 10359724199220653033627924612166328382640, 62379002829614023580337024810431580737, 10341839506843610994084987257487360000001, 7, 26576214530318583609070741100026521727, 355687468017841, 44477334280722380196310398235070179504, 26584437379878383089153609388080476841, 10333190150432632598846736534992363582640, 13774112815425554794968896075569846127421791, 8691549310116927608456226668544000000, 5160, 121, 13763761782766813401249848335853027328000000, 8852650863190120306704384000000, 10351083038502361739306389796147539466585, 35811001697315960875138307458587606961, 10395535182613763343560083061629910386559, 10368958977534999519604096973161372748136, 10333147966386144929666651337529466942640, 10333190150432632572994841441201569111800, 8222849543047373236077723648000000, 8231680464000141488429869825207807, 122000787876849966, 13774104149092971677599042853523989712235865, 10341831284015861222782074494075688088744, 10386826684266585486826988762942912681647, 13763779701411534706619167725809771872740607, 13774130708304172985452244492762487218634816, 44511286646504344976583017103360000000, 13763761799751838191601638430166625735905279, 51212587272118272000, 25217325871704303820431556608000000], 'label': '15944266600786427904000.a.1627920._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036252
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [1307674368006, 13774094930733188657310064568838389760000000, 70349278862649611870989593131475869371377846, 1307674368120, 84856992031168033245360867551318297105928649, 84857000722699638045050400685041234616382656, 28281843885118639706705372124260085285219983, 10341831302320857351801364091751872313721, 13774086239366472040399657297324574628432121, 42045605659671434438031813701082543130368000, 1307714284800, 42045596968122135209999507679946920331008000, 121646408083200000, 1313901388800, 98620753805703144452700152018224567486934704, 84867333862443185535828694779382941017928664, 1307674373040, 1307674368001, 13763761774717603787135828465808755088852049, 98631078270360753547736578448971627861739929, 70359603327243476685389466983723135380663687, 28271510728929404018728009430288302080000000, 42035263828387429481241554639604120723797351, 8691540457466064418335919964160000000, 56595850244221666119216466891925810617476184, 356995102464000, 10333156189224799107589469063086080000000, 10333156189235688003692709684537104793905, 42035272503482310897399307181787432888604374, 98620753805922697550843286256268917096581121, 42035272503473446551109434547097249135281921, 13763753099458025510316279586780380883541350, 70349278862576405162801105909256821746026838, 8691549299243569368081205493760000000, 13774086239192731191245697323861904983808000, 42045605659662603564907524417480160282368000, 70349278862567563400780872165464573234211177, 28271519420478703246786167468162809856362880, 28271510728929404034240234763568852335607617, 42045596968378286700500313695982291055825937], 'label': '15944266600786427904000.a.46512._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036253
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 813960, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 10359724199220653033627924612166328382640, 13774086264391752873781619443003043271905279, 10351049086147194674153439961945594521727, 10341839506843610994084987257487360000001, 7, 355687468017841, 44477334280722380196310398235070179504, 10386851874446490114124706245655999580737, 10368950736392155849428851612714523606961, 10333190150432632598846736534992363582640, 13774112815425554794968896075569846127421791, 8691549310116927608456226668544000000, 5160, 121, 13763761782766813401249848335853027328000000, 13763779684435351693692681600074163408235865, 10351040863297668378887050674786352476841, 8852650863190120306704384000000, 10395535182613763343560083061629910386559, 10368958977534999519604096973161372748136, 10333147966386144929666651337529466942640, 10333190150432632572994841441201569111800, 8222849543047373236077723648000000, 8231680464000141488429869825207807, 122000787876849966, 10341831284015861222782074494075688088744, 10386826684266585486826988762942912681647, 13763779701411534706619167725809771872740607, 13774130708304172985452244492762487218634816, 44511286646504344976583017103360000000, 26610175738136511952140882006355466585, 51212587272118272000, 25217325871704303820431556608000000], 'label': '15944266600786427904000.a.1627920._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036254
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 813960, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 62379002829614023580337024810431580737, 7, 26576214530318583609070741100026521727, 355687468017841, 44477334280722380196310398235070179504, 8717269984883358161188617973153111800, 17901146896112389128274760348344382640, 26584437379878383089153609388080476841, 8222838669715092304335553320088744, 8691549310116927608456226668544000000, 5160, 121, 53695666928390355735393849598934386559, 13763797568569478145563690779457231282634816, 13763761782766813401249848335853027328000000, 13763779684435351693692681600074163408235865, 8852650863190120306704384000000, 8717269984883384013083711763947582640, 35811001697315960875138307458587606961, 8691540468354933868754272131194942640, 8222849543047373236077723648000000, 8231680464000141488429869825207807, 122000787876849966, 35802797141073536303911512458140748136, 13763779701411534706619167725809771872740607, 44511286646504344976583017103360000000, 26610175738136511952140882006355466585, 62370258327017752128254993223104681647, 13763761799751838191601638430166625735905279, 13763770992373230254324396425718028143421791, 51212587272118272000, 10888869450418352160768000001, 25217325871704303820431556608000000], 'label': '15944266600786427904000.a.1627920._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036255
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 813960, 'diagramx': None, 'generators': [39921966, 17901138054334884127438532640768000000, 13774086264391752873781619443003043271905279, 10351049086147194674153439961945594521727, 7, 355687468017841, 44477334280722380196310398235070179504, 10386851874446490114124706245655999580737, 8717269984883358161188617973153111800, 10368950736392155849428851612714523606961, 17901146896112389128274760348344382640, 8222838669715092304335553320088744, 8691549310116927608456226668544000000, 5160, 121, 53695666928390355735393849598934386559, 13763797568569478145563690779457231282634816, 13763761782766813401249848335853027328000000, 10351040863297668378887050674786352476841, 8852650863190120306704384000000, 10351083038502361739306389796147539466585, 8717269984883384013083711763947582640, 8691540468354933868754272131194942640, 8222849543047373236077723648000000, 8231680464000141488429869825207807, 122000787876849966, 13774104149092971677599042853523989712235865, 35802797141073536303911512458140748136, 13763779701411534706619167725809771872740607, 44511286646504344976583017103360000000, 62370258327017752128254993223104681647, 13763770992373230254324396425718028143421791, 51212587272118272000, 25217325871704303820431556608000000, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1627920._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036256
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 813960, 'diagramx': None, 'generators': [5041, 7, 35794034954952793949809097962398916432, 42045623578289031569006561287355292117487927, 17935099251279505934409654542715184968, 8717269995756716401441994053754937600, 42045579083448062388502788369041412957982201, 42202350677215333335536735958569646, 26576241665365716989422603862016000000, 8725492823522024924932309621309440001, 42045587800745193224695747436933660765448670, 8683317629700755945936546562048000000, 42045597002074501653094021019884777244131615, 8691549310116927608456226668544000000, 42045587758551684292693890603832869360912288, 42045579109195883075450762629459476480000000, 35827977869454452220766777245696000000, 42045623561339994492540374347829972567808017, 42045632753943093255072264039887991727135135, 25852016738884976640001, 121645100408832001, 17901146885208008416722135029843020801, 53678717880425585578599879311659226737, 42193508899818445798747059818916601, 53678709027774156856944104570880000000, 42045597010324474983186102261815739688783319, 1307674368001, 362881, 44486087635711056276431275652223424849, 355687428096001, 17926876423498660399828209113171020920, 8222849543047373236077723648000000, 8717278837518710141143948591107600409, 53712661393845628522492883042343916800, 42045641462450902875910409881873212148834254, 53695694063453378097578796205601616304, 26610166896374518264810327637408947207, 8725511116838238638854712517436493209, 42045605693642093810475902470395579515122438, 10888869450418352160768000001, 42045587758542853467344128375330859225455920], 'label': '15944266600786427904000.a.1627920._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036257
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 813960, 'diagramx': None, 'generators': [28271555215017028856426097858717023648947207, 13774148626427241237247819399858015355122438, 5041, 13774130742283684992952644041090240087808017, 7, 13774104132098484444507500407144772527135135, 28271510762908916026606180649333769761616304, 17935099251279505934409654542715184968, 8717269995756716401441994053754937600, 13774086281386229217571988646655513437982201, 28271501527572950009169438577098416956493209, 28271492844255342070749245521132959338916601, 26576241665365716989422603862016000000, 28271537339096311266604462243462870143424849, 8725492823522024924932309621309440001, 42045587800745193224695747436933660765448670, 8683317629700755945936546562048000000, 42045597002074501653094021019884777244131615, 8691549310116927608456226668544000000, 42045579109195883075450762629459476480000000, 35827977869454452220766777245696000000, 121645100408832001, 17901146885208008416722135029843020801, 25852016738884976640001, 53678717880425585578599879311659226737, 53678709027774156856944104570880000000, 362881, 1307674368001, 13774139943109622409958019191278175528783319, 355687428096001, 13774094956489851121763090881446969840912288, 17926876423498660399828209113171020920, 28271492844264183848146133057922635478569646, 8222849543047373236077723648000000, 8717278837518710141143948591107600409, 13774094956481020296413328652944959705455920, 28271528630049154179685205036931347358916432, 53712661393845628522492883042343916800, 42045641462450902875910409881873212148834254, 10888869450418352160768000001, 13774130725280356013458375475168074197487927], 'label': '15944266600786427904000.a.1627920._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036258
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 813960, 'diagramx': None, 'generators': [13774086273163390563394065828929950557982200, 5041, 28271510728938256670156731086063042859226737, 7, 44486087624822186826012923491455424848, 35794034954952793949809097962398916432, 17935099251279505934409654542715184968, 13774086239192742080115096651270586368000001, 8717269995756716401441994053754937600, 42045587792522354570517824619208097885448664, 42202350677215333335536735958569646, 26576241665365716989422603862016000000, 28271501519368415529000606827640127491237529, 8725492823522024924932309621309440001, 8683317629700755945936546562048000000, 8691549310116927608456226668544000000, 13774130725280366902327825893520234965487926, 35827977869454452220766777245696000000, 121645100408832001, 17901146885208008416722135029843020801, 25852016738884976640001, 28271492870003151884205116396541050880000000, 53678709027774156856944104570880000000, 42045597010324474983186102261815739688783319, 1307674368001, 362881, 28271510771131754680784103467059332641616310, 355687428096001, 13774094956489851121763090881446969840912288, 17926876423498660399828209113171020920, 28271492844255331181879795102780798570916600, 8222849543047373236077723648000000, 8717288278184060716036986954556493208, 13774148618177267907263643510872600348131615, 13774094956481020296413328652944959705455920, 13774130750506523647130566858815802967808023, 53712661393845628522492883042343916800, 13774139943109622425361323881662306400754438, 42045641462450902875910409881873212148834254, 26610166896374518264810327637408947207, 13774104132098495333376950825496939522155935], 'label': '15944266600786427904000.a.1627920._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036259
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763761774552816541382985236087269690193961, 8231691320578226089400064463498015, 5046, 8683326460573880235220148944896000000, 7, 13763753099449183700519756587224099208479055, 13774094922510350018643403776071966762850768, 13774094922519191780637198922582788571632304, 1307674368120, 42066835878940121704597960901091807302748846, 13774094930742041323710316749214965367099735, 155185041259889411682668389946951593400484480, 39916920, 13763753099449194589363403908956558600175422, 141421296843766688523817309106634777934833863, 13774086239192742095652209802639684143563567, 13774086247415569860960682323302439236880294, 10341831292857607679352289838628864000000, 31589909515541832616848441214107648000000, 25852138739679080510766, 8683317618812128314584207029166624646, 8231680416171662519680106496000000, 121, 51212587278345292920, 122000794104233646, 13774086239192731206782759384286155738461144, 6227020806, 8852650863190120306704384000000, 8691540468354959773143540974469367974, 10333147966386144955571418345080738178905, 13763753099449183700493902399306465280000000, 56553318845257538833763626292650573824000000, 10341839515696261857326198863358556306894, 355693695033606, 13774094930733199561716577169674012074638647, 368046, 10333156198077465482040724013911513471135, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1627920._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036260
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [8691540468354959773143540974469367974, 368046, 10333147966397049310378204333805017471135, 13774094922510350018643403776071966762850768, 13774086239201572968776499207531419972880294, 121, 13763753099449183700493902399306465280000000, 13774094930742041323684572158660512219632304, 13774094922510350018669203933596288426638647, 8231691305041112938032267264000001, 7, 10341831292857607679352289838628864000000, 141442491234527011489639190568290504774748846, 122000794104233646, 13774094930742041323710316749214965367099735, 13774086239201572968776499086242066991563567, 5046, 70349314690554895282785133984120700928000000, 84846112894929006563028540865544060928000000, 10333156198066561127233938025187234178905, 31589909515541832616848441214107648000000, 13763761782775644306691457635460671802193961, 10341839506843610994136078556654172306894, 85089442102429523437372545675952128000000, 13774086247415580749830132620363879386461144, 39916920, 13763753091235197697179220793185539336175422, 355693695033606, 51212587278345292920, 25852138739679080510766, 141357490756395297178207017370135293368484480, 155121235172535703796570750292042605902833863, 1307674368120, 8231691320578226089400064463498015, 8683326460573880235220148944896000000, 13763753099449183700519756587224099208479055, 8691540468355175687820284752814624646, 6227020806], 'label': '15944266600786427904000.a.1627920._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036261
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [141357490756404128051331306653737676216484480, 13774086247415580749830132620363879386461144, 70359639155203662615828305117263822848000000, 8231691320578226089400064463498015, 5046, 155216577473719742680884836801208930374748846, 8683326460573880235220148944896000000, 7, 13763753091235197697179220793185539336175422, 13763753099449183700519756587224099208479055, 13774094922510350018643403776071966762850768, 1307674368120, 10333156198066561127233938025187234178905, 13774094930742041323684572158660512219632304, 13774094930742041323710316749214965367099735, 10333147966397049310378204333805017471135, 13774086239201572968776499207531419972880294, 39916920, 8691540468355175687820284752814624646, 10341839506843610994136078556654172306894, 10341831292857607679352289838628864000000, 8231691305041112938032267264000001, 31589909515541832616848441214107648000000, 155121235172526851145707560171735901518833863, 25852138739679080510766, 84846112886715009670844357749773041664000000, 84909883171325857465944146201086132224000000, 121, 13774086239201572968776499086242066991563567, 51212587278345292920, 122000794104233646, 6227020806, 8691540468354959773143540974469367974, 13763753099449183700493902399306465280000000, 355693695033606, 13774094922510350018669203933596288426638647, 368046, 13763761782775644306691457635460671802193961], 'label': '15944266600786427904000.a.1627920._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036262
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [121, 25852016738884976640006, 7, 13785009852757196592231586267877632217456040, 13763761774552805652513591153333056732119384, 13774094939513668093782812159067611539200126, 40284847, 13774086239192731191245646232918425600000000, 8841762019642931637702080681641, 10888869450418352160768000006, 5167, 51212944273488041641, 8231691320578226211046411712681647, 31589934705111991603245925318852648284841, 1313941673647, 8683317618811886495518194401280000001, 368041, 357001369769641, 122002101778601647, 15511210043330985984000006, 6267305641, 10341831284004956816162169531924480000000], 'label': '15944266600786427904000.a.1627920._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1627920.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1627920._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036263
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [1307674368006, 13774094930733188657310064568838389760000000, 70359612010615998015919259782814700245745846, 1307674368120, 28281843885118639706705372124260085285219983, 10341831302320857351801364091751872313721, 13774086239366472040399657297324574628432121, 42045605659671434438031813701082543130368000, 1307714284800, 42045596968122135209999507679946920331008000, 121646408083200000, 56585517096255279974286800240589595091844184, 1313901388800, 84857000714696352504527306674689322370949121, 1307674373040, 1307674368001, 70359612010533949545710487725859924724771177, 13763761774717603787135828465808755088852049, 28271510728929404018728009430288302080000000, 42035263828387429481241554639604120723797351, 8691540457466064418335919964160000000, 356995102464000, 10333156189224799107589469063086080000000, 10333156189235688003692709684537104793905, 42035272503482310897399307181787432888604374, 98620745122394378291676847011254099097096649, 42035272503473446551109434547097249135281921, 98620753813925983091366380266623444690750656, 13763753099458025510316279586780380883541350, 84857000714476799406384172436642357412566704, 98631086953669530582144674360963843417923624, 8691549299243569368081205493760000000, 70359612010542791307730772560594344946026839, 70349270179277090540459800332384304506295687, 13774086239192731191245697323861904983808000, 42045605659662603564907524417480160282368000, 84867325179134408501420598867389417787371929, 28271519420478703246786167468162809856362880, 28271510728929404034240234763568852335607617, 42045596968378286700500313695982291055825937], 'label': '15944266600786427904000.a.46512._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036264
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 831402, 'diagramx': None, 'generators': [13763761774552805635733328074387070975374777, 15511261134273157693440000, 1313941673647, 8841761993790792896715325440000, 5041, 42540133246903544861066283587306262815401, 10341839515696277394388258576234414080000, 13763761808523510177766188347506792222682873, 7, 8683390814598994985077248874891549848, 8691540468370445078797604419062559438, 8222838654177973908667734589440000, 13763753091226345046315979703226002808832000, 10888869501509294332477440000, 6266937600, 8222838654177974030333737887808991, 51090942171709445040, 10449205668825467672366345636762512204662, 8222838669715037371969164401680681, 126, 13763753167408806683432021740558731842976001, 8691540468370445078797604418935551302, 367920, 8691540468402762347723021888296766646, 13763851256023042891420956715346716930149544, 13774122101114135908571928141706031664007678, 13912550455912975794321000469345532320466639, 8683317618811886546609136572989440000, 39916801, 122002101778601647, 355687428096127, 13774094922583545805751841353851230312293345, 25903107681056686080000, 10413419874991661009497935544608405950663, 356995142743991, 13763753091235254561354992604955741947648126, 13774094930742041323710316871217080644101528], 'label': '15944266600786427904000.a.1662804._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1662804.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1662804._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036265
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 831402, 'diagramx': None, 'generators': [15511261134273157693440000, 1313941673647, 8725501665284044516772648150351196840, 8841761993790792896715325440000, 5041, 10422688623987898899353052445411418479926, 10341839515696277394388258576234414080000, 10333147966386160466728833408188264540449, 7, 8841777504950001738968462851504, 8717288323384941827090209007321841966, 10333156189224799107642866726037258218591, 8222838654177973908667734589440000, 8683326471478286747820216083304014656, 21265453080150726199186834219476913132806, 10888869501509294332477440000, 6266937600, 10333156189224799107589590722154782684038, 51090942171709445040, 10341839506854515374745575862394632486273, 10333156189224799107640938855528192849966, 8691549310132438869716668360140919087, 126, 367920, 10333232892752280328303929778488678206767, 10369026900549554945553528077086136489646, 8683317629700781849171901292237511390, 8683317618811886546609136572989440000, 10341839506854499889387543993639915879470, 39916801, 122002101778601647, 355687428096127, 356995142744377, 31598609791062082850306738010967410108846, 10341831311207820306456049294150275820920, 25903107681056686080000], 'label': '15944266600786427904000.a.1662804._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1662804.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1662804._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036266
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 831402, 'diagramx': None, 'generators': [15511261134273157693440000, 1313941673647, 8725501665284044516772648150351196840, 8841761993790792896715325440000, 5041, 10422688623987898899353052445411418479926, 10341839515696277394388258576234414080000, 10333147966386160466728833408188264540449, 7, 8841777504950001738968462851504, 8717288323384941827090209007321841966, 10333156189224799107642866726037258218591, 8222838654177973908667734589440000, 8683326471478286747820216083304014656, 10888869501509294332477440000, 6266937600, 10333156189224799107589590722154782684038, 51090942171709445040, 10341839506854515374745575862394632486273, 10333156189224799107640938855528192849966, 8691549310132438869716668360140919087, 126, 367920, 10333232892752280328303929778488678206767, 10369026900549554945553528077086136489646, 8683317629700781849171901292237511390, 8683317618811886546609136572989440000, 10341839506854499889387543993639915879470, 39916801, 122002101778601647, 355687428096127, 356995142744377, 31598609791062082850306738010967410108846, 10341831311207820306456049294150275820920, 25903107681056686080000, 13785018544306495772515166415444691885036806], 'label': '15944266600786427904000.a.1662804._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1662804.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1662804._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036267
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 831402, 'diagramx': None, 'generators': [13763761816728010330360496232583952342364840, 15511261134273157693440000, 1313941673647, 8841761993790792896715325440000, 5041, 10422688623987898899353052445411418479926, 10341839515696277394388258576234414080000, 7, 8841777504950001738968462851504, 13774094930733199546205367003929441907047470, 13774086239192731206782708293343990255708449, 8717288323384941827090209007321841966, 8222838654177973908667734589440000, 21265453080150726199186834219476913132806, 13763753091226345046316030794168174518277040, 10888869501509294332477440000, 6266937600, 10333156189224799107589590722154782684038, 13774086247415569845423620520435122918481966, 8691549310132438869716668360140919087, 126, 13774086247415569845423622448306939658218590, 367920, 13763761774552816524602727280151885295182656, 10333232892752280328303929778488678206767, 10369026900549554945553528077086136489646, 13795351701017407129166286441236970218940846, 8683317629700781849171901292237511390, 8683317618811886546609136572989440000, 39916801, 122002101778601647, 13774094930733199561690725035798196623654273, 355687428096127, 356995142744377, 25903107681056686080000, 10341831311207820306456049294150275820920], 'label': '15944266600786427904000.a.1662804._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1662804.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1662804._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036269
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 831402, 'diagramx': None, 'generators': [15511261134273157693440000, 1313941673647, 8841761993790792896715325440000, 13785018544306495772515217506386863594481846, 5041, 10341839506854515374796666804566341926279, 10422688623987898899353052445411418479926, 10341839515696277394388258576234414080000, 13774122118126894601261533231303088945321646, 7, 13774086247415569845423569429492951209036926, 13774086247415569845423569050657956773852038, 8222838654177973908667734589440000, 13763753091226345046315979703226002808832000, 10888869501509294332477440000, 6266937600, 13763761774543974747097828631837094228679390, 13763753091235186823820929582964183434755504, 8691549310132438869716668360140919087, 13763761808514668431257806550144809313009966, 126, 13774094930733199546205418094871613656404270, 13774086247415569845423571357364767948773550, 367920, 10333232892752280328303929778488678206767, 13774094922537552866622435752520153084652920, 8683317618811886546609136572989440000, 13763761816728010330360445141641780632919800, 39916801, 122002101778601647, 13763761774552816524602778371094057004617616, 13774086239192731206782759384286161965148455, 355687428096127, 356995142744377, 25903107681056686080000, 13795351701017407129140434424498085242295806], 'label': '15944266600786427904000.a.1662804._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1662804.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1662804._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036270
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 831402, 'diagramx': None, 'generators': [15511261134273157693440000, 1313941673647, 8841761993790792896715325440000, 5041, 10341839506854515374796666804566341926279, 10422688623987898899353052445411418479926, 10341839515696277394388258576234414080000, 13774122118126894601261533231303088945321646, 7, 13774086247415569845423569429492951209036926, 13774086247415569845423569050657956773852038, 8222838654177973908667734589440000, 13763753091226345046315979703226002808832000, 10888869501509294332477440000, 6266937600, 13763761774543974747097828631837094228679390, 13763753091235186823820929582964183434755504, 8691549310132438869716668360140919087, 13763761808514668431257806550144809313009966, 126, 13774094930733199546205418094871613656404270, 13774086247415569845423571357364767948773550, 367920, 10333232892752280328303929778488678206767, 13774094922537552866622435752520153084652920, 8683317618811886546609136572989440000, 13763761816728010330360445141641780632919800, 39916801, 122002101778601647, 13763761774552816524602778371094057004617616, 13774086239192731206782759384286161965148455, 355687428096127, 356995142744377, 25903107681056686080000, 13795351701017407129140434424498085242295806, 13785018544306495772515166415444691885036806], 'label': '15944266600786427904000.a.1662804._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1662804.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1662804._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036271
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 868224, 'diagramx': None, 'generators': [13774094930742041323710316870874100955089048, 15537220577197782395805671, 5041, 13774094930742041356027636887221014608036481, 13774094930742041323684464854476874192346262, 7, 141421288177416410962380188488198840723205167, 13774094930742041323684515945420353619273742, 56595832351324765516900013922358565477356801, 15511210812728889691115527, 39916801, 13774094930742041308173254689145094144000000, 126, 1307674368001, 13774094930742041308173305901732372878760823, 73375159385, 25903229327551595957465, 6227020801, 362886, 15537115200883326160699735, 13774094930742041323684515945420353615679342, 121645100408832001, 25852016738884976640001, 15511210043686673412096000, 51213358558187493136, 13774094930742041308415073876802828626560760, 51090942171709440001, 355693655116800], 'label': '15944266600786427904000.a.1736448._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1736448.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1736448._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036272
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 868224, 'diagramx': None, 'generators': [15270089575543, 51212942959548360383, 7, 15511261140655936010628462, 31598592842002406522935800104033031941041, 15537114944434078738001297, 215967170917541831557680, 70402107640698751939701622569614378484132487, 25959321278222886098230, 15511261134274472031471358, 51090942171709440001, 355687468012800, 25852016738891243577601, 5160, 15537113276783049832976231, 121, 15511263561881719755391025, 121645100408832001, 6227020801, 15537062060069871000556801, 362881, 1307674368001, 15511261255919652564201623, 51212942959546407616, 15511210043686673674192582, 39916801, 47854382076430813828183686, 51091299173038930543, 15511261255918258192605785, 28271492836032492575368388100959662371916920], 'label': '15944266600786427904000.a.1736448._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1736448.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1736448._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036273
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 868224, 'diagramx': None, 'generators': [15270089575543, 51212942959548360383, 7, 15511261140655936010628462, 31598592842002406522935800104033031941041, 15537114944434078738001297, 215967170917541831557680, 70402107640698751939701622569614378484132487, 25959321278222886098230, 15511261134274472031471358, 51090942171709440001, 355687468012800, 25852016738891243577601, 5160, 15537113276783049832976231, 121, 42045587766774533883541642789750370575089966, 15511263561881719755391025, 121645100408832001, 6227020801, 15537062060069871000556801, 362881, 1307674368001, 15511261255919652564201623, 51212942959546407616, 15511210043686673674192582, 39916801, 47854382076430813828183686, 51091299173038930543, 15511261255918258192605785], 'label': '15944266600786427904000.a.1736448._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1736448.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1736448._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036274
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 171, 'diagramx': None, 'generators': [8691549299228058158934192858148996150, 8691540468354959771983599589699715760, 5041, 7, 8691549299243595220219945220349936593, 13774094922510350018669255023769976186301145, 8222838654177922817725562880000001, 8683326765106787875188372648572056728, 8683317618827397705684681093072587543, 13774094922519192087759208871835477866378286, 51090942171709440001, 8683317618811886495518194401280000001, 13774086239201584018990690308331389889490335, 8231680416198424064018801665645583, 8249996333487615883771164358533544, 42193531516349582909767879768989785, 13774094930733188672847177720207434108752865, 13774112840606294080831055367013071925668480, 121, 13774086239192731191245646232918425600000000, 25852016738884976640001, 121645100408832001, 6227020801, 8683317629700755945936546568275406846, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 13774086239201583857645949504612401559638809, 355687428096001, 13774094930733199561690725030892493640208687, 8691540468354934883652508141006702078, 13774086239192731206782759383931782433560913, 13774086247415693688220474442520341577930670, 39916801, 13774086247415569845449421067398143197476054, 26759616865712884770910, 8222838654393889353307219382915766, 10888869450418352160768000001, 8691549570546097405168191144515811414], 'label': '15944266600786427904000.a.684._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '684.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '684._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036275
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 11628, 'diagramx': None, 'generators': [8691567615160911122371091957175816671, 13763779675663724892435802936359698731399248, 13774112815416114160666644498163923920640415, 1313941673647, 42035272503473367876930484530063605760000000, 13763770984123256537501934181731906013977606, 42045587758542842546373324476196448458672415, 17901128602796525034913955300064658264, 51212587272118272121, 40284721, 7, 28271519420716527092253133769905253428572726, 42035254618808136801942095800937732659445328, 10359732403766006534796825795335708930616, 10888869450539997261176832007, 8841761993790792896715325440126, 10341831284004956816162169531924480000000, 26576223676597893867475821074584668847, 28271510728938256669617051688978992285751375, 8691540457466064418335919964160000000, 17901384731637825413436172451973365345, 17901128602796227016327858443546270086, 17901128637108238677082466684781893041, 13774104140321334002984087075319160256681527, 42045579083448062372991578322701636335606447, 28271519420479007779693756345444355274578231, 13774094930733188657310064568838389760000000, 13763770984123256553580871775840489126122585, 28281834675548188789964912032731498749957454, 15511261134628845121536127, 5160, 126, 6267300486, 362881, 13763770984132098315006832714431457798752120, 25852016738884976645161, 355687428096001, 42035254618817588340625110021538705448124846, 28271519420478703246812019607655703454747512, 13774104140321323114114473274791089074543936, 13763770984123267441882864951988596030596480, 25852138739679080868480, 26576223382969420998521339138875397160], 'label': '15944266600786427904000.a.46512._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036276
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1763580.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': 1763580, 'diagramx': None, 'generators': [368046, 13795351684041212405733686017305482990668800, 121, 13763761774543963858202475099775303680000000, 40284840, 7, 70317071911257716246381562351845376000000000, 28281834684292680512364399194662108213310640, 8222838654177922939370663328748806, 25852016738885016561841, 5167, 31598618032204910983368710716892882750641, 70328004208148653062422521235471828834181550, 51090942171709803001, 8231691320578226211046411712681647, 121646408083200007, 121645106676132487, 6267305520, 10888869450539997261216748806, 8683317618811886495518194401280000001, 15511210043330992211383681, 10341831284004956816162169531924480000000, 355693655116800], 'label': '15944266600786427904000.a.1763580.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1763580.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1763580.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036277
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 461890, 'diagramx': None, 'generators': [59215132051070715316231416596137678, 15511261134273157693440000, 5041, 13912568365841007096419315649907254285310488, 25852138383985385472000, 8683326460573880235220148944896000000, 7, 13774086247461031729762366874680475323400887, 13891320236662593523883926584788372473008006, 8691540457530591052116178179794774382, 13763761782775655163243639128749742653440000, 13763761825545719682593780081029673130778927, 8841777504949745285529600000000, 10888869501509294332477440000, 39916920, 13763761782775655163269440176191562556493383, 8683363069791818832076041748721818807, 13763753176116112869369477494374444084205105, 13763806820909406373048339894812045864546774, 10333147966386160440876694668509184000000, 8222838669689132861056548864000000, 8683317629700755946058191668684243760, 13763761782766881186504537725411408487696142, 1307714289960, 121645100408832001, 126, 6227020801, 52864623076456123509853573845358445879022, 367920, 13774086298362412310078850054976720534228271, 355687428101040, 13912559130458968627234810621036226123289169, 13763761774626012328357667617945585653936414, 10395569171578148373110811208398251465017, 141452851001459134483744782434242066546536953, 25903107681056686080000, 13763761774543963858228327238160603403135433], 'label': '15944266600786427904000.a.1847560._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036279
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 461890, 'diagramx': None, 'generators': [15511261134273157693440000, 5041, 8683326460573880235220148944896000000, 7, 13763753159176550690253534154616355189099007, 28281825992230569977538788744654551201850585, 13763761782775655163243639128749742653440000, 13774094930751549791015983601839896170916600, 8841777504949745285529600000000, 10888869501509294332477440000, 13774086247424411607417359843542017882629737, 13763753099458025462513494117999900103249710, 39916920, 10341831292857655533683274971589741756727, 10333147975227922460468413718932919838726, 10904380711552981025656795751, 10904406512478777725821643814, 10333147966386160440876694668509184000000, 8222838669689132861056548864000000, 17909891410436456125061455195411548727, 13763761782775655163269440054546462147661503, 1307714289960, 25852016738884976640001, 126, 6227020801, 10333147975227922434667487937670283889961, 13774094922510350003132192842055004856763825, 367920, 8691540457481575679470550116958702766, 355687428101040, 42066844520082546695241380530848524805950760, 8897899544731214669256893532720, 116634916495460441448435075789547998396727, 10333147975227906949309461729133643371567, 25903107681056686080000], 'label': '15944266600786427904000.a.1847560._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1847560.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1847560._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036280
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 923780, 'diagramx': None, 'generators': [15511261134273157693440000, 5041, 25852138383985385472000, 8683326460573880235220148944896000000, 7, 10904406512600422826270392614, 10904380711674626126065627745, 13763761782775655163243639128749742653440000, 8841777504949745285529600000000, 10888869501509294332477440000, 13763753099458025462513494117999900103249710, 39916920, 10341831292857655533683274971589741756727, 10333147975227922460468413718932919838726, 13774094930751549791015983723484996579748601, 13763753159176550690253534276261455597931006, 10333147966386160440876694668509184000000, 8222838669689132861056548864000000, 13763761782775655163269440054546462147661503, 1307714289960, 126, 6227020801, 10333147975227922434667487937670283889961, 13774094922510350003132192842055004856763825, 367920, 8691540457481575679470550116958702766, 355687428101040, 28281825992230569977538788866299651610319705, 8897899544731214669256893532720, 17909891410436456125183100295820380726, 13774086247424411607417359965187118291461617, 116634916495460441448435075789547998396727, 10333147975227906949309461729133643371567, 25903107681056686080000, 42066844520082546695241380652493625214782761], 'label': '15944266600786427904000.a.1847560._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1847560.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1847560._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036281
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 923780, 'diagramx': None, 'generators': [15511261134273157693440000, 5041, 25852138383985385472000, 8683326460573880235220148944896000000, 7, 28281825992230569977538788744654551201850585, 10904406512600422826270392614, 10904380711674626126065627745, 13763761782775655163243639128749742653440000, 8841777504949745285529600000000, 10888869501509294332477440000, 13763753099458025462513494117999900103249710, 39916920, 10341831292857655533683274971589741756727, 10333147975227922460468413718932919838726, 13774094930751549791015983723484996579748601, 13763753159176550690253534276261455597931006, 10333147966386160440876694668509184000000, 8222838669689132861056548864000000, 13763761782775655163269440054546462147661503, 1307714289960, 126, 6227020801, 10333147975227922434667487937670283889961, 13774094922510350003132192842055004856763825, 367920, 8691540457481575679470550116958702766, 355687428101040, 8897899544731214669256893532720, 17909891410436456125183100295820380726, 13774086247424411607417359965187118291461617, 116634916495460441448435075789547998396727, 10333147975227906949309461729133643371567, 25903107681056686080000, 42066844520082546695241380652493625214782761], 'label': '15944266600786427904000.a.1847560._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1847560.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1847560._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036282
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 923780, 'diagramx': None, 'generators': [10341831292846734346964053202747615592670, 5041, 25852138383985385472000, 7, 10333156189224799107640682007353340687649, 15511210164976086392832000, 10341831329444289204409076236499556101160, 8841761993739823599644024832000, 8286582902631498174708307685376127, 10333147966386144929666772982623608832000, 8222838654177922939370663288832000, 8708543809062223789316189195769276846, 10888869450539997261176832000, 10333156198066576612539214705617011944183, 121, 6227020801, 1307674368001, 362881, 10333156198066576612590426935901338505904, 355687428096001, 10341831292914519604008369902947772160006, 10341839515696277368485151252179407837095, 42522206379332712575116289349367149660847, 10333147975238811329918953360506668120262, 5592910596070, 35802806637844957930342957730856960007, 223070643846905171399095079642618142777720, 8222849543073225374817402732111048, 39916801, 8852666508207463186185228293161, 10341839506854612190706396697498622064041, 51212587272118272000, 10341839515685437594420659772981971050880, 8691540457481575628502007748122219440, 8683317618811886495639839501688832000, 8841777505000957872807988435321], 'label': '15944266600786427904000.a.1847560._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1847560.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1847560._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036283
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 923780, 'diagramx': None, 'generators': [8231691305041113060045535272346801, 5041, 8222849543073225374817402731304671, 25852138383985385472000, 7, 13986823726841569817054571215577322463600047, 8231691320578226089399997362556038, 15511210164976086392832000, 8841761993739823599644024832000, 10341839561791330570406705715294575959680, 10341831284083630940301977442466404101167, 10341831292846734346964053202747618830073, 8691540457466090270474659643330390814, 10333147966386144929666772982623608832000, 10341839506854579901379351199631317104041, 8222838654177922939370663288832000, 98164878768819544255965238097682432007, 8708543809062223789316189195769276846, 10888869450539997261176832000, 10333147975238811329918953360506668120104, 121, 6227020801, 56105287781792275410039895801, 1307674368001, 362881, 10333156198066576612590426935901338505904, 355687428096001, 10341839598377867368920431893601688919680, 42522206379332712575116289349367149660847, 10458398263082515877189397326702095543686, 8852666454311263353947713541161, 39916801, 51212587272118272000, 8683317629700755945936546562483461638, 8691540457481575628502007748122219440, 8683317618811886495639839501688832000], 'label': '15944266600786427904000.a.1847560._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1847560.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1847560._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036284
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [26593199565982131783696276757376280550, 13774122050185575871261012818030215467008137, 44477334280448384521077569617920000000, 17909873094519140279123548569600005041, 8683326460573880235220148944896000000, 6227383680, 25852016738884977002880, 13774122050185711684396176624604459403557079, 13774104140312481739334595593851933516394449, 15511210043330985984362880, 17909873094519140279123904257028458880, 13774104140312503936442556662397758448364921, 13774130733512036703275939390998353851802833, 35794025514545547662278921857424464408, 17909873105649444120263285893752206935, 26593199781177701343285821609549285166, 40279680, 13774094939486533418326232806437075414158945, 13774112815407261509829306394596104949554345, 8691540468354933868754272124928362880, 8231680416171662519680106496000000, 8683326471478286747820573078402878767, 8683326483158282020878864665407461551, 13774094947718213462795293280962210856004169, 17909873094519140279245193670009194880, 17909873094519140279123548569600000121, 35785793856503311755200471422734398646, 17909873094519140279123548569600000007, 13774130725280356028943682290682133616650880, 8231691707792038044253335520471368, 35785793834144887209802217089845114366, 8691540468370470982027286269376681647, 35785793822982320102741649653760362881, 258186498463389380734108673, 281965877551378978138606884895], 'label': '15944266600786427904000.a.1860480._.A', '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._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036285
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [35794025503398491765382974860664832006, 8683326460573880235220148944896000000, 26601413562889611262175614962053099526, 26601413551985204697459824221188487080, 13774104149074667487890926193051697842167679, 13774104149074678376760379038302521616976294, 17909873105423546791723972703107241646, 13774086247415728000552743295728838688486400, 8683326460573880235220148951123020801, 13774112840615135842824746027183877666371783, 13774104149074667472405568287754589222942767, 8683326460573880235220148944896362881, 44477334280463921634228582968653547830, 8683326460573880235220150252570368001, 13774094930742053003705589929508653887461545, 8231691305066966870193909123581398, 26593199565997427077917939537410651830, 44469120294445069788380150759424000001, 13774122024995406839966053271379630841611001, 8231680416171662519680106496000000, 13774086239201764581264114192635123727724927, 8683326471478286747820217390975145647, 126, 17918104774935311941643228676096000000, 13774086247415580734318871612259242231636359, 13774094922510350003132141751112826880000001, 25852016738884976640006, 13774112832383455411167723431397548900415217, 13774086247415580734318873912992006151453110, 8683326460573880235220148944896005041, 35785793856503311755200471422734398646, 8683326460573880235220148944896000007, 13774104157288675253459150730937092988856110, 13774122033209392827743671792293695928913927, 17918104774983597996334012670373861240, 39916806, 13774130708304172985909820215152399017480367, 13774112832383557444285266804401068547920864, 17909873105423546842814914874816681647, 13774112832383444537783682008935868553806766, 17909873094519464098759332952877291520, 13774122033209392843280785065307787037485512, 13774094930742267231509240889745557324998406], 'label': '15944266600786427904000.a.1860480._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036286
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13763761782775655178780701310821715392681647, 10333156198066608955767582333708723357665, 8683335934712422134712398534977285167, 121, 7, 10341839515696277394388380578336192681647, 8852650863190120306704384000000, 8222838669715036090739707328681647, 8691540468370470982027286269376681647, 355693695401647, 40284847, 15511261256275259472041647, 5167, 25903229683158464681647, 6227388847, 1313941673647, 122002101778601647, 10904380660461683146752000000, 363007, 13774112823657235211140609564191329919729841, 51091299173079209647], 'label': '15944266600786427904000.a.46512._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036287
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [8231680416171662519680106496000121, 44477334280448384521077569617920000000, 8683317641396288281176910121791461545, 8231680416197514536418991472640001, 8231680416171662519680112723020801, 8683326460573880235220148944896000000, 26601413562889611262175614962053099526, 26601413551985204697459824221188487080, 8231680416171662519680106496362881, 8231680416171662519681414170368001, 35794016661652009286694005375666167679, 26601422551902327611406507927584486400, 44477343122225915374052538306333485512, 8683326471478286798911515250112681647, 44477343122225889521913798633609806766, 35785793822982320102863294754168832001, 8691549310132464722632731515641611001, 17909881947185514681458345487906371783, 44477334280463921634228582968653547830, 35785802664744771418165994115753480367, 8231691305066966870193909123581398, 8231680416171662519680106535916801, 8852650889042263569797367636359, 8231691320578175119748552575145647, 44477343122210378260779524215224913927, 35785802901556519279062556821324998406, 8683317629716267209498075384080976294, 17918096046095331047871013804547920864, 8231680416171662519680106496000000, 8231680416171662519680106496005041, 17918104785839718505217470699010651830, 8231680416171662519680106496000007, 26601413562889611210059892667267241646, 8691549310116953460594619042684856110, 44469111452683101903122192072711453110, 35794016661636523928788708267046942767, 8841761993739701954543616000001, 35785793856503311755200471422734398646, 17918104774983597996334012670373861240, 26601413562874074147877820694528000001, 26593190904959051502899505125391724927, 17918095944062213504498010284900415217, 17909873094519464098759332952877291520], 'label': '15944266600786427904000.a.1860480._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036288
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13774104149065825710385925356822682628487080, 13774112840606396098463189622126631427920870, 8231680416171662519680106496000121, 8231680416197514536418991472640001, 8231680416171662519680112723020801, 17918104785839692604276071050786371777, 8231680416171662519680106496362881, 8231680416171662519681414170368001, 8231680431682872563011092480000001, 13774112840606294065345646249123111780415337, 35785793822982320102863294754168832001, 44477334280448410424306902668326942766, 8691540457466064418335919964160000000, 44477334280463921634228582968653547830, 26593199713248149688588782364704486401, 8231691305066966870193909123581398, 8231680416171662519680106535916801, 44477334280463895782212199776946530559, 35794025503414003026395604232289889966, 44477334291352791033677993751427241646, 13774122024986554174023324696957997737480366, 8231680416171662519680106496000000, 8231680416171662519680106496005041, 13774104149065836599281227913211530108856104, 13774086247424422496312611314213785847636479, 8231680416171662519680106496000007, 13774130716527011655167280583502188317485392, 8683326471462749685638501105664000001, 8691540468370470982930776972025611000, 8683326483158282020878864665407461551, 13774094930733425469515501187791013708998407, 13774086247424411607417308752598532096000000, 26601413743613229425717230688271724926, 13774130716527011639630167310488097208913926, 35785793856503311755200471422734398646, 13774122033218245494143975068490208770651830, 8691540468370470982027286269376681647, 13774086247424422496312613493301449358621110, 17918104774983597996334012670373861240, 13774104157297517030938301734382984088144294, 26601413551985204697459468533760000000, 17909873094519464098759332952877291520, 13774104149065836614792490072613423493099526], 'label': '15944266600786427904000.a.1860480._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036289
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [26593199565982131783696276757376280550, 44477334280448384521077569617920000000, 5041, 17909873094519140279245193670008832001, 8683326460573880235220148944896000000, 7, 35785793822997831312784980639744000001, 44486096602412852842794109415819557199, 16976183043491489010167969805636169, 26576223394664899222831902714864364920, 35794025514545547662278921857424464408, 17909873105649444120263285893752206935, 35802770006283972135120205420475807873, 26593199781177701343285821609549285166, 35811001686441983203059249413232650881, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 25852016738884976640001, 6227020801, 26593199555108557627616711658944681646, 44469120283556200389052740770365440001, 362881, 8683326483158282020878864665407461551, 26576223372452280051720025903948394449, 35785793856503311755200471422734398646, 17909873094519140279123904257028096001, 17901128591922868827163163384605471145, 8231691707792038044253335520471368, 35785793834144887209802217089845114366, 39916801, 44486096466599717678987535171883008143, 258186498463389380734108673, 25207863846876963618335341014158945, 281965877551378978138606884895], 'label': '15944266600786427904000.a.1860480._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036290
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [26593199565982131783696276757376280550, 44477334280448384521077569617920000000, 5041, 44494319305253869698577443814512650880, 17909873094519140279245193670008832001, 8683326460573880235220148944896000000, 7, 16985025177187830757278792150158945, 35785793822997831312784980639744000001, 17901119750160875087461208840949554345, 35794025514545547662278921857424464408, 17909873105649444120263285893752206935, 26593199781177701343285821609549285166, 25199021697669411827894840360004169, 8231680416171662519680106496000000, 121, 35802778847787831183469340770603008137, 10904406563691366305216681647, 25852016738884976640001, 6227020801, 26593199555108557627616711658944681646, 44469120283556200389052740770365440001, 362881, 8683326483158282020878864665407461551, 26576214552902905483129948171248364921, 35785793856503311755200471422734398646, 17909873094519140279123904257028096001, 44486087625095858630638399821755802833, 35785793834144887209802217089845114366, 8231691707792038044253335520471368, 26576214530705797522061402346316394449, 39916801, 258186498463389380734108673, 281965877551378978138606884895, 35802778983600966347275915014539557079], 'label': '15944266600786427904000.a.1860480._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036291
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 116280, 'diagramx': None, 'generators': [13774122050194417891389443872803952571807873, 26593199565982131783696276757376280550, 44477334280448384521077569617920000000, 17909873094519140279123548569600005041, 8683326460573880235220148944896000000, 13774104140321323485817125252475491148394449, 6227383680, 25852016738884977002880, 13774094947709372088015365667493624278158945, 15511210043330985984362880, 13774130733503194683147508336224616747008143, 17909873094519140279123904257028458880, 35794025514545547662278921857424464408, 17909873105649444120263285893752206935, 26593199781177701343285821609549285166, 13774130733503330496282672142798860683557199, 40279680, 8691540468354933868754272124928362880, 8231680416171662519680106496000000, 13774094939495374808617370463235340301636169, 8683326471478286747820573078402878767, 13774104140321345698436296364352302064364920, 8683326483158282020878864665407461551, 17909873094519140279245193670009194880, 17909873094519140279123548569600000121, 35785793856503311755200471422734398646, 17909873094519140279123548569600000007, 8231691707792038044253335520471368, 35785793834144887209802217089845114366, 13774122041962737217057186772487732336650881, 8691540468370470982027286269376681647, 35785793822982320102741649653760362881, 258186498463389380734108673, 281965877551378978138606884895, 13774112815416103271823046096550648605471145], 'label': '15944266600786427904000.a.1860480._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036292
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [17909873094534677392396582249258025928, 28271510745905597951114800752731941933481537, 26601413551985230600689151686433923431, 28271492844264183832634974227575126221900806, 5041, 8231680416171662641325206904832001, 28271492836032492543079168224816104359499825, 7, 28271501519358975718087443690428287270152550, 28271492844264183832609229136483275275089840, 28271537305153080601138874051062314654621664, 28271492836032492543105071210475524097487014, 28271528630057995941570984455066439962584614, 28271492844264195528087346898741025150391806, 8691540457466064418335919964160000000, 28271519437446055401642157028583342942276601, 28271501519358964005828904832237738558246401, 51090942171709440001, 28271492844264183832609070997495748730937889, 28271501519358953101448244370910279233576031, 8231680416171662519680106496000000, 121, 10904406563691366305216681647, 28271519429232047620614376024161732994416006, 28271510754137278351775253350727483940726446, 6227020801, 362881, 1307674368001, 44477334280463921634350583762368681646, 355687428096001, 28271528621826315509888061947891262535357865, 35785793833886726615220428680766121289, 28271492844264172959276734243455736403031681, 28271537305152776083794148160001752983685160, 28271510754137267462880165268616022820387510, 39916801, 44469120283556226189978537483632640001, 26601413551985204697459468533760000000, 28271492836032492930318826048951047303230766], 'label': '15944266600786427904000.a.1860480._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036293
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10368941992002465434277842406955523920864, 35794025503398491765382974860664832006, 8683326460573880235220148944896000000, 26601413562889611262175614962053099526, 26601413551985204697459824221188487080, 10359749379949034540928705663064825611001, 17909873105423546791723972703107241646, 8683326460573880235220148951123020801, 10368933760231711651555051702897471461545, 10377617086669701130004613136121856000001, 44477334280463921634228582968653547830, 8683326460573880235220148944896362881, 8683326460573880235220150252570368001, 10333147966397049310329284179897890371783, 8231691305066966870193909123581398, 26593199565997427077917939537410651830, 10377617086827856259178858220972064486400, 44469120294445069788380150759424000001, 10333156198066561558904893407548073480367, 10377625300677497694901708788123920976294, 8231680416171662519680106496000000, 8683326471478286747820217390975145647, 126, 17918104774935311941643228676096000000, 10341831292846734347015144500612893485512, 25852016738884976640006, 10359741165952126845485857383055367453110, 10359741165952126845483556650291447636359, 10368941991900432316734469403435876415217, 10377617086680590025307169880656764856110, 8683326460573880235220148944896005041, 35785793856503311755200471422734398646, 8683326460573880235220148944896000007, 17918104774983597996334012670373861240, 10341839506843626505346121887646386167679, 10333156198066576612590305292101769806766, 39916806, 10341839506843611019988216590537766942767, 10377625300858221338915986669295631724927, 17909873105423546842814914874816681647, 17909873094519464098759332952877291520, 10341831292846718809901871486521784913927, 10351057839717476275382393838716748998406], 'label': '15944266600786427904000.a.1860480._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036294
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [35794025503414003026395959919282530559, 13763788885243243495019441759908742988998407, 13763797568569478145589545101807981198621110, 35794025503398491765382974860664832006, 8683326460573880235220148944896000000, 13763779684417058392879867496338018077485392, 17909873105423546791723972703107241646, 13763797568569478145589542922720317687636479, 8683326460573880235220148951123020801, 17909873286147165007381310724111724926, 44477334280463921634228582968653547830, 8683326460573880235220148944896362881, 8683326460573880235220150252570368001, 13763753099449194604874616257542347672144294, 26601413574569606483118184254271461551, 8231691305066966870193909123581398, 44469120294445069788380150759424000001, 8683326471478286799815005952761611000, 44469120294460581000594640973346371777, 13763753099449194604900465973548488194651830, 8231680416171662519680106496000000, 8683326471478286747820217390975145647, 17918104933090441115888313526304486401, 126, 17918104774935311941643228676096000000, 25852016738884976640006, 13763771009322278220091757245244953257480366, 44477334280463895782211844089953889966, 8683326460573880235220148944896005041, 35785793856503311755200471422734398646, 13763753091235186808309719283891133444487080, 13763753091235197697205021840279980924856104, 13763761782775655163269440176191562596415337, 8683326460573880235220148944896000007, 13763753091235197712716283999681874309099526, 13763761782775757196386983549195082243920870, 17918104774983597996334012670373861240, 13763779684417058377342754223323926968913926, 39916806, 13763779692648738793514416743003979776000000, 17909873105423546842814914874816681647, 17909873094519464098759332952877291520, 35794025503398517668490662810662942766], 'label': '15944266600786427904000.a.1860480._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036295
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [26593199565982131783696276757376280550, 8231680416171662519680106496000121, 8231691320578226211046411712681647, 5041, 10377642276849636831528754289335029554345, 44469120294718767445022366034741114366, 7, 10368950736392170741258403156454440004169, 17918105001019992770585352771149285166, 10351049094978439475243844442962390158945, 10359724189758225507066515324125483008137, 8691540457466064418335919964160000000, 8683326460589391445263479930880000001, 10359724189894038642230321898369419557079, 35794025514545547662278921857424464408, 51090942171709440001, 8231691320578226211045104038313646, 44469120283556200338083443699064832001, 8231680416171662519680106496000000, 17909873117103542064782264290111461551, 10351049094978067772590587038366832650880, 6227020801, 25852016738884976640001, 10351040863297909761522647994374075802833, 362881, 10341848269052346649065865139153904364921, 26593199555093020514343697514496000000, 35785793856503311755200471422734398646, 17909873094519140279123904257028096001, 8231691707792038044253335520471368, 35785793834112623943881386977912206935, 39916801, 10341848269030149541104796593328972394449, 258186498463389380734108673, 281965877551378978138606884895], 'label': '15944266600786427904000.a.1860480._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036296
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [26593199555093020514344053201924096001, 26593199565982131783696276757376280550, 5041, 7, 11291620375524573229024471368, 10351049086136305778850885083823216650881, 8691540457466064418335919964160000000, 26601413574569606483118184254271461551, 35785793822982320153832591825469440001, 35794025514545547662278921857424464408, 26593199781177701343285821609549285166, 10377642285691786013228529516919254158945, 44469120283556200338083443699064832001, 26601413551985204697459468533760362881, 10341856491891000826988682864716784364920, 10351040872139671755262349948917691807873, 8231680416171662519680106496000000, 10351040872139413620570997129724203008143, 10351040872275226755734803703968139557199, 6227020801, 17918104774935311941643228676096000000, 35794025503414002975304660746240000001, 35785793856503311755200471422734398646, 35785793834144887209802217089845114366, 26601413562889611261150834838976681647, 39916801, 10333164951410950440747378674260765471145, 26601413551985230549476207418736640001, 8691540457466064418335921271834368001, 258186498463389380734108673, 10377634054010982627753921349548045636169, 44469120294686504179101535922808206935, 281965877551378978138606884895, 35785793822982320102741649653760000121, 10377634054011354356257792957453132394449], 'label': '15944266600786427904000.a.1860480._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036297
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [8691567615160911122371091957175816671, 1313941673647, 51212587272118272121, 10341839506843610994084987257487360000001, 40284721, 7, 42035254618808136801942095800937732659445328, 13763770984132109203876497606256074176681527, 10359732403766006534796825795335708930616, 10888869450539997261176832007, 8841761993790792896715325440126, 13774112823638941926000968792985490354543942, 28271510728938256669617051688978992285751375, 42035263820402414672504695015566191668572727, 17892906046897137921539274512536668847, 8691540457466064418335919964160000000, 13774112823630100148496019168989393373977607, 26584446255920125172600661086061893040, 42045596968122135209973655663206727680000000, 28281825983998878688170849376421144778672415, 13774094930733188657310064568838389760000000, 13763770984123256553580871775840489126122585, 42035263820164884471075867172753132746578231, 28281834675548188789964912032731498749957454, 13774112823630111052876949939246083390596481, 13774112823638941926000917701688945158752121, 15511261134628845121536127, 5160, 42045579075225223718813655504976073455606446, 126, 13774104132089653571301051251777257771399249, 10351040872150287276778747567260384658264, 6267300486, 26584693508687718169252412309637365345, 362881, 13763779675672566669914900664551963600640415, 25852016738884976645161, 355687428096001, 26584446221608113511846052844826270087, 42035254618817588340625110021538705448124846, 42035263820164590827063580853316641694742472, 25852138739679080868480, 17892905764157534503003144737595397161], 'label': '15944266600786427904000.a.46512._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036298
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42045587783750716879258502561417458992847921, 5041, 42045605651439764926266663781825256239858536, 17909873094534677341183619748497450880, 35794025503446752018904671940857834166, 42045605651439889754012293979612795507849536, 35785793822997831312784980639744000001, 8691540457466064418335919964160000000, 42045579100424245400971754862831206400000001, 42045579092210259413168285214355088508011521, 42045614878004071491107676403022388381249840, 44477334280463921635771539714878450230, 42045623561312848557023167983960135394761721, 42045587775519048158593323143700336985240624, 42045605651439754037397214779153714178982526, 42045587775519025574217440717684767562779441, 8231680416171662519680106496000000, 121, 26601413551985204697459468533760000007, 25852016738884976640001, 6227020801, 121645100408832001, 8683326471462749736729798971028954262, 362881, 1307674368001, 26593199555093020514343697514496000000, 8231680416197567542782618666097921, 355687428096001, 42045579100424256305378267462899652440508296, 42045587783750728606948340228001588954204840, 8231680416171713732623126044587526, 39916801, 17909873105423546842814914874816681647, 15537113273014144448681646, 42045587775519025574191539399654218983511161], 'label': '15944266600786427904000.a.1860480._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036299
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5041, 17909873094534677341183619748497450880, 35794025503446752018904671940857834166, 44469120294460606850562222725935858416, 28271510728929539750880152228144281199753536, 8691540457466064418335919964160000000, 8691540480065977413916320256345240630, 44477334280463921635771539714878450230, 28271501536335136144939632868690336999511160, 28271537330342956019955444568767272674761720, 10904406512600068446040513336, 28271510728929404034239219473619288064000001, 28271528647034178954039952987829525661249841, 8231680416171662519680106496000000, 121, 28271492853008675555548185812187217920000000, 26601413551985204697459468533760000007, 25852016738884976640001, 6227020801, 121645100408832001, 8683326471462749736729798971028954262, 28271492861240355971745753354969836586097921, 362881, 28271492853008686459928899279482119292011520, 1307674368001, 28271510728929404034265073028040887298982527, 26593199555093020514343697514496000000, 355687428096001, 8683326483205976585365170382554204841, 28271501544549143926019116626544489776847920, 8691540457481601531490304686922779440, 8231680416171713732623126044587526, 39916801, 17909873105423546842814914874816681647, 15537113273014144448681646], 'label': '15944266600786427904000.a.1860480._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036300
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [17909873094534677392396582249258025928, 26601413551985230600689151686433923431, 5041, 42045579075234065496344457658648599123031680, 42045623544336665513046054690965634967685161, 42045579083448062388528640261119512577487015, 42045614869241896244181131361408451422276600, 42045579075234076369676952551676137995089841, 26593199565997427078035063819712681647, 17918104774935311941643228676096000007, 42045605668415947954246942503844768813481543, 8691540457466064418335919964160000000, 42045587766774533851252473882881727038246400, 44477334280448410373094308502896640001, 42045623544336959141521330163674035870621664, 42045605676647617466012307019728849700387504, 17918104774950849054916242820544681646, 8231680416171662519680106496000000, 121, 42045579083448062760231185056264049799230766, 6227020801, 121645100408832001, 17918104774935311941643228676096000000, 42045605676647628354907395101840310820726447, 42045579075234076369702697642767988941900807, 1307674368001, 362881, 42045614861027888463127447882764231751357871, 17918104774935311992734170847805440001, 355687428096001, 35785793833886726615220428680766121289, 42045587766774522946871813421554267713570991, 42045579075234076369676794412688611450937888, 42045587766774545563511012741072275750152544, 42045596985107159999973526738884449640048006, 39916801, 42045579083448062388502737275458785165131825, 42045614869241885370822890986030321946584615, 42045579075234088065155070313933887870391807], 'label': '15944266600786427904000.a.1860480._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036301
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [44469120294460606901653164903872681647, 5041, 28271528647025337207583324644594806543657928, 7, 13774122050185575855724165110941256484387504, 42045579075225234607683054710734067834937889, 28271501536326294367434681330381619200000001, 13774094939486555647751619914652436774152544, 28271537305153080601138874051062314654621664, 42045596993329998654151449556611320194416006, 28271492836032492543105071723775629907031681, 13774094939486555615460095823434013054391807, 28271492836032503416437566616803168779089840, 13774094939486533046623579669187891085131825, 8700293812728762076919349688525900807, 28271537305152776083768297168040207431357865, 13774112823638952799333357151269094238276600, 17918104774935337793659967561072640001, 121, 28271510754137278367286463272412048429481537, 6227020801, 17918104774935311941764873776504832001, 17918104774935311941643228676096000000, 42045596993330009543020899583645909540726446, 362881, 1307674368001, 15511210043330985984000001, 355687428096001, 13774130708313014747446035285659195965440001, 13774094939486533046649482654848618497487015, 28271537305152776083794148160001752983685160, 42045579075225234623194315845007219262246401, 28271492836032492527568009150761334337576031, 39916801, 42045623544345507290525203388453703962584614, 13774130708313014747445984194717024256000000, 17918104774935337844872911828769923431, 13774130708313025651852496673496051262121289, 42045579075225224121564472281869472903230766], 'label': '15944266600786427904000.a.1860480._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036302
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [35794025503414028879955299857214450230, 5041, 42045605659662728408190216796982670959753536, 35794025503446752018904671940857834166, 13763797560337797744929090441849084719858416, 10341839515696261857326198862057108954262, 28271492861240355987231060168221498599511160, 51212943019548587526, 42035254627552650318131374379257422972011520, 42045614877995229729113936701067844765249841, 28281834684292680512390253004821654570097921, 42045605659662592691575137596879277058982527, 42035290421578142828265163852302718690761720, 13774086239192742095652209924284730816681647, 10341839515685372987824689212030976000000, 42035254627552650318157173390399829296847920, 10341839515707972900820269612323161240630, 13774122033218234605274473676320158595241647, 10904406512600068446040513336, 121, 13774112840606283191987405752458138257450880, 121645100408832001, 6227020801, 25852016738884976640001, 362881, 10341839515685388524937843596753738779440, 1307674368001, 15511210043330985984000001, 28271492861240355971719848331867324416000000, 13774122033218234589763314723931344320681647, 355687428096001, 13774112840606283176450343692386959360000000, 39916801, 26601413551985204697459468533760000000, 13774086239192753823341996377939863258204841], 'label': '15944266600786427904000.a.1860480._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036303
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [44469120294460606850440577625662121289, 13763761791520147288933570841986618503230766, 28271528647025337207583324644594806543657928, 5046, 7, 13774104157297506126583491105830254369923431, 13763788902219200599689586541715194404726446, 10341848260198873665998479595360779089840, 28271501536326294367434681330381619200000001, 28281825983998878688034737861813047297487015, 10359732412596864173728198776536983685160, 44469120283556200389052740770365440006, 28281870453119173117567464182250931038276600, 10359732412596864147877206814991431357865, 13774104157297517030964151567513406912681647, 28281825983998901289136875121616865574152544, 10341848260188000333503586567821907031681, 126, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 10359732412901381518454089837098654621664, 6227020806, 121645100408832006, 28281825983998878688008834876152319885131825, 13763761791520157790563414405124364862246401, 13763788902219189710820136514680605058416006, 10341848260187984796441013553526337576031, 362886, 1307674368006, 13763779675672555781045450124553441562584614, 13763761791520157775052153270851213434937889, 28281843902103653607809831919953546020387504, 28281825983998901256845351030398441854391807, 355687428096006, 17918104774935337793659968868747008000, 13774130708313014762983097467729861030313647, 10368958959241713814483533156379693481537, 42035245927258848462779291289475922125900807, 39916806], 'label': '15944266600786427904000.a.1860480._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036304
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [44469120294460606850440577625662121289, 28271528647025337207583324644594806543657928, 13774130725289208664321565595476099620726446, 5046, 7, 13774104157297506126583491105830254369923431, 42045614869241896244181131361408451422276600, 42045587766774522962382972495607730061131825, 28271501536326294367434681330381619200000001, 42045587766774545531219488649853852030391807, 13774130725289197775452115568441510274416006, 42045605668415937049840644500048743204387504, 17892896911491160052517602960455357865, 44469120283556200389052740770365440006, 25207874333021498829743542795089840, 28271501527581802644521469745769527501900807, 13774104132089642697916958738016456986584614, 13774086264400595038148404494809846919230766, 13774104157297517030964151567513406912681647, 17892896911491185903509564506007685160, 44486096477488587129284242238509481537, 126, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 25207863444151941363701708353576031, 6227020806, 121645100408832006, 362886, 1307674368006, 13774086264400605539778248057947593278246401, 355687428096006, 42045587766774545563511012741072275750152544, 17918104774935337793659968868747008000, 13774086264400605524266986923674441850937889, 13774130708313014762983097467729861030313647, 17892897216008530629400625067678621664, 25207863459689003936716003923031681, 42045587766774522962408875481268457473487015, 39916806], 'label': '15944266600786427904000.a.1860480._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036305
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [44469120294460606850440577625662121289, 13763761791520147288933570841986618503230766, 5046, 7, 13774104157297506126583491105830254369923431, 13763788902219200599689586541715194404726446, 42045614869241896244181131361408451422276600, 10341848260198873665998479595360779089840, 42045587766774522962382972495607730061131825, 42045587766774545531219488649853852030391807, 28281826009206742116649514983204847616000001, 42045605668415937049840644500048743204387504, 10359732412596864173728198776536983685160, 44469120283556200389052740770365440006, 42035290413355304173601616628599090959657928, 28271501527581802644521469745769527501900807, 10359732412596864147877206814991431357865, 13774104157297517030964151567513406912681647, 10341848260188000333503586567821907031681, 126, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 10359732412901381518454089837098654621664, 6227020806, 121645100408832006, 13763761791520157790563414405124364862246401, 13763788902219189710820136514680605058416006, 10341848260187984796441013553526337576031, 362886, 1307674368006, 13763779675672555781045450124553441562584614, 13763761791520157775052153270851213434937889, 355687428096006, 42045587766774545563511012741072275750152544, 17918104774935337793659968868747008000, 13774130708313014762983097467729861030313647, 42045587766774522962408875481268457473487015, 10368958959241713814483533156379693481537, 39916806], 'label': '15944266600786427904000.a.1860480._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036306
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [44469120294460606850440577625662121289, 13774130725289208664321565595476099620726446, 5046, 7, 13774104157297506126583491105830254369923431, 28281826009206742116649514983204847616000001, 13774130725289197775452115568441510274416006, 17892896911491160052517602960455357865, 28281825983998878688034737861813047297487015, 44469120283556200389052740770365440006, 25207874333021498829743542795089840, 42035290413355304173601616628599090959657928, 28281870453119173117567464182250931038276600, 13774104132089642697916958738016456986584614, 13774086264400595038148404494809846919230766, 13774104157297517030964151567513406912681647, 28281825983998901289136875121616865574152544, 17892896911491185903509564506007685160, 44486096477488587129284242238509481537, 126, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 25207863444151941363701708353576031, 121645100408832006, 6227020806, 28281825983998878688008834876152319885131825, 362886, 1307674368006, 13774086264400605539778248057947593278246401, 28281825983998901256845351030398441854391807, 28281843902103653607809831919953546020387504, 355687428096006, 17918104774935337793659968868747008000, 13774086264400605524266986923674441850937889, 13774130708313014762983097467729861030313647, 17892897216008530629400625067678621664, 25207863459689003936716003923031681, 39916806, 42035245927258848462779291289475922125900807], 'label': '15944266600786427904000.a.1860480._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036307
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [28271528630049447792567111230286771870621664, 5046, 7, 42045614869241896244181131361408451422276600, 28281825983998889561367233268140691979089841, 42035263845363623398091232932308386340726447, 42045587766774545531219488649853852030391807, 28271528630049154164065984765616825415357871, 42035245927258837961123595587200963719230766, 28281825983998878688034737861813047297487015, 44469120283556200389052740770365440006, 42035245927258848478264649193669696062246400, 10341839515685372987824689212030976000000, 28271501527581802644521469745769527501900807, 13774104157297517030964151567513406912681647, 10368941983058685834204689491766846121289, 28281825983998901289136875121616865574152544, 13763779684417058377368657453007025953923431, 126, 42035263845363612509221782905272489320048006, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 6227020806, 121645100408832006, 28281825983998878688008834876152319885131825, 42045587766774533835741212748608575610937888, 362886, 1307674368006, 28271501527581791755626167188635842113570991, 28281843902103653607809831919953546020387504, 355687428096006, 28281870453119162228723814811339276183685161, 28271501527581791771163229761650137683031680, 17918104774935337793659968868747008000, 28281843902103664512216129923749571629481543, 13774130708313014762983097467729861030313647, 39916806, 42035290396379121145595536737116180762584615, 13763779684417058392879867496357552938025928], 'label': '15944266600786427904000.a.1860480._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036308
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13763770992346106080549307418165297451399249, 8691567615160911122371091957175816671, 13774112815416114160666644498163923920640415, 1313941673647, 17901128602796525034913955300064658264, 42045587758542842546373324476196448458672415, 13763779667440875349388429699926307293977607, 51212587272118272121, 40284721, 10341839506843610994084987257487360000001, 7, 28271492844273624482422634921763401768124846, 10888869450539997261176832007, 10351049095271696245511008337598616668847, 28281834667316497484384171441589572335606446, 8841761993790792896715325440126, 13774104140312481352688461244903575206122585, 28271510728938256669617051688978992285751375, 42035263820402414672504695015566191668572727, 8691540457466064418335919964160000000, 13763779667449717126893379323922404274543942, 10359724189803410876916434273046381893040, 10351049094988956642092472207823675397161, 10359724437056178469913086024269957365345, 13774104140321334002984087075319160256681527, 42045596968122135209973655663206727680000000, 13774094930733188657310064568838389760000000, 42035263820164884471075867172753132746578231, 15511261134628845121536127, 13763779667440886253769360470182997310596481, 5160, 126, 26576214541207427207356732249628930616, 6267300486, 362881, 25852016738884976645161, 13763779667449717126893328232625859078752121, 355687428096001, 42045579083456915024394396096117999869957454, 28271492844264172943739620701162428979445328, 42035263820164590827063580853316641694742472, 25852138739679080868480, 10359724189769098865255679664805146270087], 'label': '15944266600786427904000.a.46512._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036309
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [28281861778015844826366228299976455838621664, 5046, 7, 42035254618808147690811546097271052410937889, 28281852577189602907930962922263866413481537, 42045587766774545531219488649853852030391807, 13774104157297506142094701149161246144681641, 28271501527581814372265366508153850150152544, 28271519429223205858594998267130317604387504, 42035254618808137204692963668406457479230766, 28271501527581802644521469745769527501900807, 28271519429223216747464234210857780062276600, 28281861778015540308995651416954348615357865, 10904406563691366305216681647, 28281834675548177916092896412987660883031681, 28281834675548188789425391306015199755089840, 126, 44469120283556226189978537483632640006, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 6227020806, 28281861778015540309021502408915894167685160, 42035272520449561793806065930822681124726446, 42035272520449550904936615903788091778416006, 1307674368006, 362886, 355687428096006, 10351066071161095778721567598571279657928, 28281834675548177900555833839973365313576031, 13763753091226345046315979581580902400000001, 28271501527581791771163229248350031873487015, 39916806, 13774086239192731191245697323860597309440006, 17918104774935311941764873776504832006, 42035254618808147706322807231544203838246401, 17918104774935337844872911828769923431, 42035281721275499225893224334692798746584614, 13774130708313025651852496673496051262121289, 28271501527581791771137326262689304461131825], 'label': '15944266600786427904000.a.1860480._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036310
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [28281861778015844826366228299976455838621664, 28271528647025337207583324644594806543657928, 5046, 7, 28271501536326294367434681330381619200000001, 42035254618808147690811546097271052410937889, 28281852577189602907930962922263866413481537, 13774104157297506142094701149161246144681641, 10333173174272173429283243338815870391807, 13763753116434219379363223502416296141900807, 42035254618808137204692963668406457479230766, 28281861778015540308995651416954348615357865, 10904406563691366305216681647, 28281834675548177916092896412987660883031681, 28281834675548188789425391306015199755089840, 126, 44469120283556226189978537483632640006, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 6227020806, 28281861778015540309021502408915894167685160, 42035272520449561793806065930822681124726446, 42035272520449550904936615903788091778416006, 362886, 1307674368006, 10333173174249604618670074753421313487015, 355687428096006, 10377634062852729110497931783736100387504, 28281834675548177900555833839973365313576031, 13763797577322822519366046805754577758276600, 10333173174249604592767089092693901131825, 39916806, 13774086239192731191245697323860597309440006, 42035254618808147706322807231544203838246401, 17918104774935311941764873776504832006, 17918104774935337844872911828769923431, 42035281721275499225893224334692798746584614, 13774130708313025651852496673496051262121289, 10333173174272205720807334557239590152544], 'label': '15944266600786427904000.a.1860480._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036311
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [42035281738251682238388094182826489633923431, 42035272511705048293127999066482597232640006, 28271528630049447792567111230286771870621664, 42035254627552650318157224603328826816681647, 5046, 7, 13763753116434219394848581406610070078246400, 42045587766774545531219488649853852030391807, 28271528630049154164065984765616825415357871, 28281852568445100296122346598279360062121289, 10377634062863633516795935579761709481543, 28281861794991723352512991295933637418025928, 28271501527581802644521469745769527501900807, 28271519429223216747464234210857780062276600, 13763753116434208877707527800141337735230766, 10351040863297636115570160902029207685161, 13763797577322822519391898944138576420726447, 28281834684292680512364399072661314109440006, 10333173174260477951165481081065995089841, 13763770984123256552987292086678933786584615, 28281861794991723352512991295914102208681641, 126, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 6227020806, 42045587766774533835741212748608575610937888, 362886, 1307674368006, 28281834684292680512364347981719142400000000, 28271501527581791755626167188635842113570991, 10333173174249604618670074753421313487015, 355687428096006, 10377634062852729110497931783736100387504, 28271501527581791771163229761650137683031680, 10333173174249604592767089092693901131825, 39916806, 17918104774935311941764873776504832006, 13763797577322811630522448917102679400048006, 10333173174272205720807334557239590152544], 'label': '15944266600786427904000.a.1860480._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036312
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [42035281738251682238388094182826489633923431, 42035272511705048293127999066482597232640006, 25207874333047243920835393741900806, 28281834675548200517195033159491373350152550, 42035254627552650318157224603328826816681647, 5046, 7, 28281852577189602907930962922263866413481537, 17892896911491160052517602960455357865, 28281852568445100296122346598279360062121289, 42035254618808137204692963668406457479230766, 28281861794991723352512991295933637418025928, 28281834684292680512364399072661314109440006, 28281861794991723352512991295914102208681641, 28281834675548188789425391306015199755089840, 126, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 25207863444151941363701708353576031, 28281852577189592003524664918467840804387510, 6227020806, 28281861778015540309021502408915894167685160, 42035272520449561793806065930822681124726446, 42035272520449550904936615903788091778416006, 362886, 1307674368006, 28281834684292680512364347981719142400000000, 28281834675548177916066992914028135335499825, 355687428096006, 13774086264400605524266986923674441850937889, 17892897216008530629400625067678621664, 44486096477473050067224173675358276601, 25207863459689003936716003923031681, 13774086264400617219745262824919718270391806, 39916806, 42035254618808147706322807231544203838246401, 17918104774935311941764873776504832006, 28281834675548177916092895899687555073487014, 42035281721275499225893224334692798746584614], 'label': '15944266600786427904000.a.1860480._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036313
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 28281861778015844826366228299976455838621664, 7, 42035254618808147690811546097271052410937889, 28281852577189602907930962922263866413481537, 28281825983998878688034737861813047297487015, 42035290396379132018953777112494310238276600, 42035254618808137204692963668406457479230766, 13774130708313014747471887424400182720681647, 28281861778015540308995651416954348615357865, 13774130708313014762957194238048010240000001, 28281825983998901289136875121616865574152544, 121, 10904406563691366305216681647, 28281834675548177916092896412987660883031681, 28281834675548188789425391306015199755089840, 6227020801, 13774130708313014747445984316362124664832001, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 13774086239192731191245697323860597309440001, 28281825983998878688008834876152319885131825, 28281861778015540309021502408915894167685160, 362881, 1307674368001, 42035272520449561793806065930822681124726446, 42035272520449550904936615903788091778416006, 355687428096001, 28281843902103653607809831919953546020387504, 42035245927258860158231663960641821054391807, 28281834675548177900555833839973365313576031, 13774112832383444537809534147693768463657928, 39916801, 42035254618808147706322807231544203838246401, 28281825983998889561392978359232542925900807, 17918104774935337844872911828769923431, 8691549299228058158037874507776000001, 42035281721275499225893224334692798746584614, 13774130708313025651852496673496051262121289], 'label': '15944266600786427904000.a.1860480._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036314
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 28281861778015844826366228299976455838621664, 7, 13774122050185575855724165110941256484387504, 42035254618808147690811546097271052410937889, 13774094939486555647751619914652436774152544, 28281852577189602907930962922263866413481537, 28281826009206742116649514983204847616000001, 13774094939486555615460095823434013054391807, 13774094939486533046623579669187891085131825, 42035254618808137204692963668406457479230766, 8700293812728762076919349688525900807, 13774112823638952799333357151269094238276600, 13774130708313014747471887424400182720681647, 28281861778015540308995651416954348615357865, 13774130708313014762957194238048010240000001, 121, 10904406563691366305216681647, 28281834675548177916092896412987660883031681, 28281834675548188789425391306015199755089840, 6227020801, 13774130708313014747445984316362124664832001, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 13774086239192731191245697323860597309440001, 28281861778015540309021502408915894167685160, 362881, 1307674368001, 42035272520449561793806065930822681124726446, 42035272520449550904936615903788091778416006, 355687428096001, 13774094939486533046649482654848618497487015, 28281834675548177900555833839973365313576031, 39916801, 42035254618808147706322807231544203838246401, 28281870470095345272215303698355711759657928, 17918104774935337844872911828769923431, 42035281721275499225893224334692798746584614, 13774130708313025651852496673496051262121289], 'label': '15944266600786427904000.a.1860480._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036315
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [42035281738251682238388094182826489633923431, 5041, 7, 28281825983998889561367233268140691979089841, 42035263845363623398091232932308386340726447, 13774094939486543919981819922188736634937888, 42035245927258837961123595587200963719230766, 28281825983998878688034737861813047297487015, 28281852568445100296122346598279360062121289, 13774094939486555615460095823434013054391807, 8700293801855403836935230298707031680, 42035245927258848478264649193669696062246400, 28281861794991723352512991295933637418025928, 8700293812728762076919349688525900807, 13774112823638952799333357151269094238276600, 13774130708313014747471887424400182720681647, 13774130708313014762957194238048010240000001, 28281825983998901289136875121616865574152544, 121, 26584446210719218210555477468231357871, 10904406563691366305216681647, 26584446504347719337020147414686621664, 42035263845363612509221782905272489320048006, 6227020801, 13774130708313014747445984316362124664832001, 13774086239192731191245646232918425600000000, 17918104774935311941643228676096000000, 13774086239192731191245697323860597309440001, 28281825983998878688008834876152319885131825, 362881, 1307674368001, 28281834684292680512364347981719142400000000, 355687428096001, 8700293801839866774362216003137570991, 28281843902103653607809831919953546020387504, 28281870453119162228723814811339276183685161, 28281843902103664512216129923749571629481543, 39916801, 42035290396379121145595536737116180762584615], 'label': '15944266600786427904000.a.1860480._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036316
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [44469120294460606901653164903872681647, 5041, 7, 42045579075225234607683054710734067834937889, 28271537305153080601138874051062314654621664, 42045596993329998654151449556611320194416006, 28271492836032492543105071723775629907031681, 28281825983998878688034737861813047297487015, 28271492836032503416437566616803168779089840, 42035290396379132018953777112494310238276600, 28271537305152776083768297168040207431357865, 17918104774935337793659967561072640001, 28281825983998901289136875121616865574152544, 121, 28271510754137278367286463272412048429481537, 6227020801, 17918104774935311941764873776504832001, 17918104774935311941643228676096000000, 28281825983998878688008834876152319885131825, 42045596993330009543020899583645909540726446, 362881, 1307674368001, 15511210043330985984000001, 355687428096001, 13774130708313014747446035285659195965440001, 28281843902103653607809831919953546020387504, 42035245927258860158231663960641821054391807, 10351066071161095778721567598571279657928, 28271537305152776083794148160001752983685160, 42045579075225234623194315845007219262246401, 28271492836032492527568009150761334337576031, 39916801, 10333147966386144929666651337523200000001, 42045623544345507290525203388453703962584614, 28281825983998889561392978359232542925900807, 13774130708313014747445984194717024256000000, 17918104774935337844872911828769923431, 13774130708313025651852496673496051262121289, 42045579075225224121564472281869472903230766], 'label': '15944266600786427904000.a.1860480._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036317
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [42035281738251682238388094182826489633923431, 13763761791520147288933570841986618503230766, 44469120294460606901653164903872681647, 5041, 7, 10341848260210601435640333071534374152550, 42045579075225234607683054710734067834937889, 13763788902219200599689586541715194404726446, 10341848260188000333503073267716097487014, 10341848260198873665998479595360779089840, 28271537305153080601138874051062314654621664, 28271492836032492543105071723775629907031681, 10359732412596864173728198776536983685160, 28281852568445100296122346598279360062121289, 28281861794991723352512991295933637418025928, 28271537305152776083768297168040207431357865, 17918104774935337793659967561072640001, 121, 6227020801, 17918104774935311941764873776504832001, 17918104774935311941643228676096000000, 13763761791520157790563414405124364862246401, 362881, 1307674368001, 13763788902219189710820136514680605058416006, 15511210043330985984000001, 42045579075225246303161330611979344254391806, 13763779675672555781045450124553441562584614, 28281834684292680512364347981719142400000000, 355687428096001, 13774130708313014747446035285659195965440001, 10341848260188000307600087608296359499825, 10368958959230809408185529360354084387510, 28271492836032503416463311707895019725900806, 28271492836032492527568009150761334337576031, 39916801, 10368958959241713814483533156379693481537, 13774130708313014747445984194717024256000000, 42045623544345518163883443763831833438276601], 'label': '15944266600786427904000.a.1860480._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036318
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [44469120294460606850440577625662121289, 10333173174249604618670074753421313487015, 44469120283556200337961798598656000000, 13774086239192742095652209924284730816681647, 28271537305152776083768297168040207431357865, 13763753116434231074815596173582195070391807, 13774104157297506126583491105830254369923431, 42045623544345507275039794392920178583685160, 7, 28271510754137267462905803323692894594416006, 121, 10377634062863617979733875511198558276600, 28271492836032492527568009150761334337576031, 1307674368001, 39916801, 121645100408832001, 10333173174260477976910572172916941900807, 6227020801, 5041, 51090942171709440001, 28271510754137278351775253350727483940726446, 13774104157297506142068849132422361168041647, 10333173174272205720807334557239590152544, 28271492836032503431948669612088793662246401, 28271492836032492930318826048951047303230766, 42045579075225234607683054710734067834937889, 28271537305153080601138874051062314654621664, 355687428096001, 10333173174249604592767089092693901131825, 28281826009206742116649514983204847616000001, 42045579075225234607683212849721594379089840, 42045596993330009558532109505330474029481537, 13774130708313014747471836211455909232640001, 28271492836032492543105071723775629907031681, 28271537305152776099279557155535278362584614, 362881, 10377634062852729110497931783736100387504, 42035290413355304173601616628599090959657928, 13774086239192731191245646232918425600000000], 'label': '15944266600786427904000.a.1860480._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036319
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [8691567615160911122371091957175816671, 10333156198077449996631727753776285751375, 28271510737161378078937810408897793226578231, 13774112815416114160666644498163923920640415, 1313941673647, 17901128602796525034913955300064658264, 51212587272118272121, 40284721, 7, 13774104140330774637260374466043179048124846, 28271510737161084434925524089461302174742472, 10359732403766006534796825795335708930616, 10888869450539997261176832007, 8841761993790792896715325440126, 10341831284004956816162169531924480000000, 8691540457466064418335919964160000000, 13774104140321323098577360245442206259445328, 42035254610585343348671136053155073901893040, 13774104140321334002984087075319160256681527, 13763770984123256553149255618025875658672415, 17901128602796740843174560925949957454, 13774094930733188657310064568838389760000000, 13763770984123256553580871775840489126122585, 15511261134628845121536127, 28271501527572949993658279624709616093977607, 5160, 42045579075225223718813655504976073455606446, 126, 28281834667325339261914973082317673394543942, 42035254610585309036659475298546832666270087, 42035245935490811634039730627219626136668847, 6267300486, 362881, 42035245935490528894436312091089851195397161, 28271510737398908280366638251710852148572727, 25852016738884976645161, 355687428096001, 28271492836032503416463311707497480491399249, 42035254610832596116264132704906297477365345, 28271501527572960898039210394966306110596481, 42035272511696206531108407347789168640000001, 25852138739679080868480, 28271501527581791771163178157409167878752121], 'label': '15944266600786427904000.a.46512._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036320
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 28281834675548200517195033159491373350152550, 7, 42045579075225234607683054710734067834937889, 28281852577189602907930962922263866413481537, 28271537305153080601138874051062314654621664, 28271492836032492543105071723775629907031681, 13774086239192742095652209924284730816681647, 10341839515685372987824689212030976000000, 42035254618808137204692963668406457479230766, 51090942171709440001, 28271537305152776083768297168040207431357865, 10368941983058685834204689491766846121289, 121, 13763779684417058377368657453007025953923431, 28281834675548188789425391306015199755089840, 28271510754137278351749401212343485278276601, 6227020801, 121645100408832001, 13774086239192731191245646232918425600000000, 28281852577189592003524664918467840804387510, 28281861778015540309021502408915894167685160, 362881, 1307674368001, 42035272520449561793806065930822681124726446, 42035272520449550904936615903788091778416006, 42045579075225246303161330611979344254391806, 355687428096001, 28281834675548177916066992914028135335499825, 28271492836032503416463311707895019725900806, 44469120283556200337961798598656000000, 28271492836032492527568009150761334337576031, 39916801, 42035254618808147706322807231544203838246401, 28281834675548177916092895899687555073487014, 42035281721275499225893224334692798746584614, 13774130708313014747471836211455909232640001, 13774104157297506142068849132422361168041647, 13763779684417058392879867496357552938025928], 'label': '15944266600786427904000.a.1860480._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036321
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [17918104774935311992734170847805440006, 5046, 42045579075225234607683054710734067834937889, 42045587766774545531219488649853852030391807, 28271537305153080601138874051062314654621664, 17918104774935311941643228676096000007, 13774130708313014747445984316362124664832006, 42045596993329998654151449556611320194416006, 28271492836032492543105071723775629907031681, 28271501527581814372265366508153850150152544, 28271519429223205858594998267130317604387504, 13774086239192742095652209924284730816681647, 28271492836032503416437566616803168779089840, 28271501527581802644521469745769527501900807, 28271537305152776083768297168040207431357865, 28271519429223216747464234210857780062276600, 28271510754137278367286463272412048429481537, 126, 13774086239192731191245646232918425600000000, 6227020806, 42045596993330009543020899583645909540726446, 362886, 1307674368006, 355687428096006, 13774130708313014762983097467731168704681641, 28271537305152776083794148160001752983685160, 13774112832383444537809534147693768463657928, 42045579075225234623194315845007219262246401, 28271501527581791771163229248350031873487015, 17918104774935337793659967561072640006, 44469120283556200337961798598656000000, 28271492836032492527568009150761334337576031, 39916806, 42045623544345507290525203388453703962584614, 17918104774935337844872911828769923431, 8691549299228058158037874507776000001, 13774130708313025651852496673496051262121289, 42045579075225224121564472281869472903230766, 28271501527581791771137326262689304461131825], 'label': '15944266600786427904000.a.1860480._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036322
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 10333173174249604618670588053527123031680, 7, 42035263845363623398091232932308386340726447, 17918104774950823151686560969754368000, 13763753116434219379337320272336918650937888, 42035245927258837961123595587200963719230766, 10377634062863633516795935579761709481543, 10351040863591264590845633610430110621664, 42035245927258848478264649193669696062246400, 17918104785839718505334594981312681647, 42045596968122146114380168141985754686121289, 17918104774935337844872911834560681647, 10351040863297636115570160902029207685161, 42035290396379121130084276749621109831357871, 28281825983998901289136875121616865574152544, 10333173174260477951165481081065995089841, 13763770984123256552987292086678933786584615, 121, 42035263845363612509221782905272489320048006, 6227020801, 17918104774935311941764873776504832001, 17918104774935311941643228676096000000, 42035263845363623398065380793924387678276600, 28281825983998878688008834876152319885131825, 44469120283556200389052740770365440001, 362881, 1307674368001, 28271492861240355971719848331867324416000000, 42045623561321690318531283279937921834025928, 355687428096001, 28281825983998901256845351030398441854391807, 10333173174249604618670074753421313487015, 10377634062852729110497931783736100387504, 28271537322128959111774427003668969249923431, 42035245927258837573883988732342236737570991, 39916801, 42035245927258848462779291289475922125900807, 13774130708313014747445984194717024256000000], 'label': '15944266600786427904000.a.1860480._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036323
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 28281834675548200517195033159491373350152550, 7, 10341848260188000333503073267716097487014, 10341848260198873665998479595360779089840, 17918104774950823151686560969754368000, 28281834675548200484903509068272949630391806, 10359732412596864173728198776536983685160, 42035254618808136801942146770216744513576031, 42035254618808137204692963668406457479230766, 17918104785839718505334594981312681647, 42045596968122146114380168141985754686121289, 17918104774935337844872911834560681647, 42035254618808147690837449327350429901900806, 42035272520449561793780213792438682462276601, 121, 10341848260188000333503586567821907031681, 6227020801, 17918104774935311941764873776504832001, 17918104774935311941643228676096000000, 10359732412901381518454089837098654621664, 44469120283556200389052740770365440001, 362881, 1307674368001, 42035272520449561793806065930822681124726446, 28271492861240355971719848331867324416000000, 42035272520449550904936615903788091778416006, 42045623561321690318531283279937921834025928, 13763779675672555781045450124553441562584614, 28281834675548177916066992914028135335499825, 355687428096001, 13763761791520157775052153270851213434937889, 10368958959230809408185529360354084387510, 28271537322128959111774427003668969249923431, 39916801, 10368958959241713814483533156379693481537, 42035254618808147706322807231544203838246401, 13774130708313014747445984194717024256000000, 42035281721275499210381964347197727815357865], 'label': '15944266600786427904000.a.1860480._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036324
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [28271492861240355971719848453512424824832006, 35810992844664478518878022830884387504, 28271519429223216747490086349241778724726447, 28271519429223205858620636322205881704048006, 5046, 7, 28271492861240355971719899422809496125440006, 42045587766774522962382972495607730061131825, 28271501527581802660006827649963301438246400, 28271501527581792142865774043494569095230766, 42045587766774545531219488649853852030391807, 8700293801855403836421930192897487015, 13774094939486543919981819922188736634937888, 28271528630049154164065984765616825415357871, 8700293801855403836935230298707031680, 42045623561321690303020022023643127152640006, 26584446210719244061547439013783685161, 42045596968122146114380168141985754686121289, 28271501527581802644521469745769527501900807, 26584446504347719337020147414686621664, 126, 6227020806, 13774112823638941925975116775890964762584615, 362886, 1307674368006, 28271492861240355971719848331867324416000000, 42045623561321690318531283279937921834025928, 28271510728929414923134573121654607296681647, 28271501527581791755626167188635842113570991, 355687428096006, 13774130708313014762983097467731168704681641, 42045587766774545563511012741072275750152544, 35810992855568884816881818856493481543, 28271537322128959111774427003668969249923431, 44469120283556200337961798598656000000, 39916806, 13774130708313014747445984194717024256000000, 42045605668415947938709880443776205662276600, 8700293812728736331828257837579089841], 'label': '15944266600786427904000.a.1860480._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036325
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [28271492861240355971719848453512424824832006, 42045596993330009542995047445261910878276601, 5046, 7, 28271492861240355971719899422809496125440006, 42045579075225223734324814457734529959499825, 25207874333021498829743542795089840, 42045623561321690303020022023643127152640006, 42045596968122146114380168141985754686121289, 28271537305152776083768297168040207431357865, 13774104132089642697916958738016456986584614, 17892896911491185903509564506007685160, 44486096477488587129284242238509481537, 28271510754137278351775253350727483940726446, 126, 42045579075225246335452854703197767974152550, 6227020806, 44486096466584180831280446212900387510, 28271492836032503431948669612088793662246401, 42045579075225246303161330611979344254391806, 362886, 1307674368006, 28271492861240355971719848331867324416000000, 42045623561321690318531283279937921834025928, 28271510728929414923134573121654607296681647, 355687428096006, 13774130708313014762983097467731168704681641, 28271510754137267462905803323692894594416006, 13774086264400605524266986923674441850937889, 28271537322128959111774427003668969249923431, 17892897216008530629400625067678621664, 25207863459689003423415898113487014, 28271492836032503416463311707895019725900806, 44469120283556200337961798598656000000, 28271492836032492527568009150761334337576031, 25207863459689003936716003923031681, 39916806, 13774130708313014747445984194717024256000000, 28271492836032492930318826048951047303230766], 'label': '15944266600786427904000.a.1860480._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036326
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [13774094930742063924758394669190445369088001, 25903111066411030910777, 7, 25903108049270920853046, 13774094930742030434815014314123919360000121, 113002024889338966040469027120, 10921536442087235063959910401, 113160110587681755429614099077247335437751680, 13774094930742063892574989135273536310168631, 25903108036744154455686, 13774094930742030419303855362090812240533886, 13774094930742030434815065526711191914563057, 51090942171709440001, 10904406564849841754055072126, 10888869450540352954831953960, 13774094930742030419437668040435200050467073, 15511210165333081536059111, 5160, 10904406563691366305216681647, 126, 13774094930742030419329656292815526840992718, 121645100408832006, 6227020806, 1307714647686, 28271492861240366876100559884492642917719807, 363007, 13774094930742211255760667977302340414420527, 15537113151013390708413943, 10904676379958396485706900694, 10888869450540352948604956510, 51212587272118635185, 39916806, 355687428096127, 98578249500443572789869089204439982089660720], 'label': '15944266600786427904000.a.1860480._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036327
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10904406512995140960859407232, 31598618022753372380316937608575435088305, 31598618022719931668168459201252349968040, 31598618022730788004434629508425039219887, 25852016738884976640120, 6227020920, 31598618022730803515593582254234377560729, 5046, 31598618022719899134984211156324193219887, 7, 363000, 31598618022719899512755760585867197467447, 31598618022742515694272052816322396165161, 42549308855525978602159821438320640000000, 74147926878245877711240803268427776000000, 31598618022990975847370798492454890960929, 26601413551985204697581113634169199926, 15537062182088718243722470, 31598618022934127262561868427962318065841, 10904406563691366305216681647, 122002095987492175, 40284840, 126, 355687468012926, 31598618022719899134984213792482106633598, 31598618022719899486852530902782145800615, 15511261134630152837801640, 35794025503398491765261329760256000000, 11033865759546090512860878017, 53139711467384651809, 26601413551985204748550412013183724927, 31598592814889928174367447377163589376126, 51212587272118635185, 26601413551985204697459469841474652720, 31616485711767961654355353263921534028807], 'label': '15944266600786427904000.a.1860480._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036328
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10904406512995140960859407232, 31598618022753372380316937608575435088305, 31598618022719931668168459201252349968040, 31598618022730788004434629508425039219887, 6227020920, 25852016738884976640120, 31598618022730803515593582254234377560729, 5046, 31598618022719899134984211156324193219887, 7, 363000, 31598618022719899512755760585867197467447, 31598618022742515694272052816322396165161, 42549308855525978602159821438320640000000, 74147926878245877711240803268427776000000, 31598618022990975847370798492454890960929, 26601413551985204697581113634169199926, 15537062182088718243722470, 31598618022934127262561868427962318065841, 10904406563691366305216681647, 122002095987492175, 40284840, 126, 355687468012926, 31598618022719899134984213792482106633598, 31598618022719899486852530902782145800615, 15511261134630152837801640, 35794025503398491765261329760256000000, 11033865759546090512860878017, 53139711467384651809, 26601413551985204748550412013183724927, 51212587272118635185, 26601413551985204697459469841474652720, 31616485711767961654355353263921534028807, 13774094939486566504329546241787475269376127], 'label': '15944266600786427904000.a.1860480._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036329
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5046, 7, 44469120283556200338083443699064832006, 10333147966386160440927785611995273806766, 13763771009331130870523226087157596167453110, 17918104774935635761279013059373291520, 10377617086827856259178858220972064486400, 13774104157297517030964152592293529989099526, 17918104785839718505334594981312681647, 26593190713346537984689953077787924064, 8691549321812459943696590228287461545, 17918104774935311941643584363524096006, 44469120283571737451112811949389547830, 26593190724235407437274585345570371783, 126, 10333147966386160440927785967682226167679, 25852016738884976640006, 6227020806, 13774112832383455411167723431397548900415217, 10341839515718893979477148033799950398646, 13763771009331356793833357843762202444998406, 13774122033209392828201247514683560617480367, 10333147966386144955569880670573606942767, 1307674368006, 362886, 15511210043330985984000006, 13774122033209392827743671792293695928913927, 13763779684417058377342754223323873280000000, 13763797560346639491411620100124035964856110, 13774104157297506126557587876502789124487080, 10351066071171984648172889423207161611001, 13774086239192742095652212108250181844232649, 17918104774983597996334012670373861240, 44469120283556200337961798598656000000, 39916806, 10368941983047781427692210712739840000000, 13774112832383557444285266804401068547920864, 10888895304350513802627581398, 13774094930742041308199106832408187127636359, 8691549299228058158037874507776000001, 15537113273014144448681641, 13774122033209392843280785065307787037485512, 10377617086861329154732870898276367724927], 'label': '15944266600786427904000.a.1860480._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036330
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13763770992346106080549307418165297451399249, 8691567615160911122371091957175816671, 28271510737161378078937810408897793226578231, 13774112815416114160666644498163923920640415, 1313941673647, 42035272503473367876930484530063605760000000, 17901128602796525034913955300064658264, 13763779667440875349388429699926307293977607, 51212587272118272121, 10341839506843610994084987257487360000001, 40284721, 7, 28271510737161084434925524089461302174742472, 42035254618808136801942095800937732659445328, 10888869450539997261176832007, 10351049095271696245511008337598616668847, 8841761993790792896715325440126, 13774104140312481352688461244903575206122585, 8691540457466064418335919964160000000, 13763779667449717126893379323922404274543942, 10359724189803410876916434273046381893040, 10351049094988956642092472207823675397161, 10359724437056178469913086024269957365345, 13774104140321334002984087075319160256681527, 28281825983998878688170849376421144778672415, 13774094930733188657310064568838389760000000, 28281834675548188789964912032731498749957454, 15511261134628845121536127, 13763779667440886253769360470182997310596481, 5160, 42045579075225223718813655504976073455606446, 126, 26576214541207427207356732249628930616, 6267300486, 362881, 13763779667449717126893328232625859078752121, 28271510737398908280366638251710852148572727, 25852016738884976645161, 355687428096001, 42035254618817588340625110021538705448124846, 42035263828387440370110954088285457565751375, 25852138739679080868480, 10359724189769098865255679664805146270087], 'label': '15944266600786427904000.a.46512._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036331
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 13774104157297517015668857228726344576280550, 13774104157297539647549240334968870670398646, 13774104157297517273613484893739198864464408, 13774122050185576129395704170849408955802833, 7, 13774086239193013157123197611896564206884895, 13774130725289333604098489027027841419557199, 44486096466599691775759718251632650881, 17918104774935311941643584363524096001, 13774130708313015005632482658106404990108673, 13774122033209404103852837273535885280471368, 8691549525312738986979998602829285167, 17918104785839718505334594981312681647, 8691549321812459943696590228287461545, 13774086264400595022637301634374406988394449, 121, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 15537062182071972739241647, 8700293801855403836543576595189554345, 1307674368001, 362881, 15511210043330985984000001, 17892896934091018987611753769968364920, 13774112832383455652576262014398720632206934, 17918104774935311992734170847805440001, 13774122050185576242937762847617890774158945, 13774130725289197790963325220453597483008143, 44469120283556200337961798598656000000, 39916801, 26593190724493593881702310406965119406, 8691549299228058158037874507776000001, 13774094939486533046623630761282104360004169], 'label': '15944266600786427904000.a.1860480._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036332
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 13774104157297517015668857228726344576280550, 13763797577322811646033658568761694965554345, 13774104157297539647549240334968870670398646, 13774104157297517273613484893739198864464408, 7, 13774086239193013157123197611896564206884895, 13774130725289333604098489027027841419557199, 13763797560346854687197146485503596109285167, 44486096466599691775759718251632650881, 17918104774935311941643584363524096001, 13774130708313015005632482658106404990108673, 13763753091226356208883086642148338485119406, 13763771009331119981627921224809578496000001, 10351040863298023303581324762855894158945, 10351040863297651600979279607884840004169, 17918104785839718505334594981312681647, 13774086264400595022637301634374406988394449, 121, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 15537062182071972739241647, 362881, 1307674368001, 15511210043330985984000001, 17892896934091018987611753769968364920, 17918104774935311992734170847805440001, 10377617086680831433845752873446008206934, 13774130725289197790963325220453597483008143, 10351066071172356350773775808442336471368, 44469120283556200337961798598656000000, 39916801, 10333173174249862753361549573396411802833, 13763771009331142566029706883525299007461545], 'label': '15944266600786427904000.a.1860480._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036333
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 13774104157297517015668857228726344576280550, 13774104157297539647549240334968870670398646, 13774104157297517273613484893739198864464408, 13774122050185576129395704170849408955802833, 7, 13763788902219212310653169134608804848364920, 13774086239193013157123197611896564206884895, 13763761791520146901693912897694956656650881, 13763797560346854687197146485503596109285167, 17918104774935311941643584363524096001, 13774130708313015005632482658106404990108673, 10341848260188000333503195268497707008143, 13763753091226356208883086642148338485119406, 13763771009331119981627921224809578496000001, 17918104785839718505334594981312681647, 121, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 15537062182071972739241647, 8700293801855403836543576595189554345, 362881, 1307674368001, 15511210043330985984000001, 17918104774935311992734170847805440001, 10377617086680831433845752873446008206934, 10368958959231196647685092488614732394449, 13774122050185576242937762847617890774158945, 10351066071172356350773775808442336471368, 44469120283556200337961798598656000000, 39916801, 13763771009331142566029706883525299007461545, 13774094939486533046623630761282104360004169, 10341848260323813468667001842741643557199], 'label': '15944266600786427904000.a.1860480._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036334
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [5041, 13774104157297517015668857228726344576280550, 13763797577322811646033658568761694965554345, 13774104157297539647549240334968870670398646, 13774104157297517273613484893739198864464408, 7, 13763788902219212310653169134608804848364920, 13774086239193013157123197611896564206884895, 13763761791520146901693912897694956656650881, 17918104774935311941643584363524096001, 13774130708313015005632482658106404990108673, 10341848260188000333503195268497707008143, 13774122033209404103852837273535885280471368, 8691549525312738986979998602829285167, 10351040863298023303581324762855894158945, 10351040863297651600979279607884840004169, 17918104785839718505334594981312681647, 8691549321812459943696590228287461545, 121, 13774086239192731191245646232918425600000000, 6227020801, 25852016738884976640001, 15537062182071972739241647, 1307674368001, 362881, 15511210043330985984000001, 13774112832383455652576262014398720632206934, 17918104774935311992734170847805440001, 10368958959231196647685092488614732394449, 44469120283556200337961798598656000000, 39916801, 10333173174249862753361549573396411802833, 26593190724493593881702310406965119406, 8691549299228058158037874507776000001, 10341848260323813468667001842741643557199], 'label': '15944266600786427904000.a.1860480._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036335
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10359741157099734142939756469874814108673, 22584401785658715720511461551, 10359741157110767576816817653723104471368, 13774086264400594650908797762766501901636169, 13774104157297517015668857228726344576280550, 5041, 7, 13774086239193013157123197611896564206884895, 13774130725289333604098489027027841419557199, 13774130725289198049098016573272790971807873, 44486096466599691775759718251632650881, 17918104774935311941643584363524096001, 13763788885243232767494834083080214093285166, 13774104157297517256861429015884425848206935, 17918104785839718505334594981312681647, 121, 13763761782775655436941244680022846261114366, 6227020801, 25852016738884976640001, 15537062182071972739241647, 10341839515718893979477148033799950398646, 1307674368001, 362881, 10359732412597266872949405968349654158945, 15511210043330985984000001, 17892896934091018987611753769968364920, 17918104774935311992734170847805440001, 10341839515696520043721706804128144464408, 13763788902219189726331346166338312989471145, 13763779684417058377342754223323873280000000, 10368958959231196647685092488614732394449, 13774130725289197790963325220453597483008143, 44469120283556200337961798598656000000, 39916801, 10368941983047781427692210712739840000000], 'label': '15944266600786427904000.a.1860480._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036336
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [10359741157099734142939756469874814108673, 22584401785658715720511461551, 13774122050185575871261012818030215467008137, 10359741157110767576816817653723104471368, 5041, 13774104157297517015668857228726344576280550, 13763797577322811646033658568761694965554345, 13774122050185576129395704170849408955802833, 7, 13774086239193013157123197611896564206884895, 13774122050185711684396176624604459403557079, 26584446233319077145649628277744364921, 17918104774935311941643584363524096001, 13763788885243232767494834083080214093285166, 13774104157297517256861429015884425848206935, 10351040863298023303581324762855894158945, 17918104785839718505334594981312681647, 121, 13763761782775655436941244680022846261114366, 6227020801, 25852016738884976640001, 15537062182071972739241647, 10341839515718893979477148033799950398646, 1307674368001, 362881, 10377634062853131861207538242982732394449, 15511210043330985984000001, 17918104774935311992734170847805440001, 10341839515696520043721706804128144464408, 13763779684417058377342754223323873280000000, 35810992844679989463357294869616650880, 44469120283556200337961798598656000000, 39916801, 10368941983047781427692210712739840000000, 13774094939486533046623630761282104360004169], 'label': '15944266600786427904000.a.1860480._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036337
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [42045596968131112704119538163372937843849536, 35794025503414028879955299857214450230, 8691549310132464670637942953816508296, 5041, 28271501536326294382945893166735793383511161, 42045579100433087162991399587888262186097921, 42045623569544528957172094738942352541249840, 35794025503446752018904671940857834166, 42045596968130976987504458962913856514982526, 51212943019548587526, 13774130708304183889858757093186607919858536, 13774086239192742095652209924284730816681647, 8691549299243595271192259230538779441, 13774094930742053051400154415814371034204840, 13774122033218234605274473676320158595241647, 121, 13774112840606283191987405752458138257450880, 25852016738884976640001, 6227020801, 121645100408832001, 28271501536326305271815394797676520572011521, 362881, 28271501536326305271841193808818926896847921, 1307674368001, 15511210043330985984000001, 28271492861240355971719848331867324416000000, 13774122033218234589763314723931344320681647, 8691549321827971153618274799961240624, 355687428096001, 28271537330351797781949184270721816290761721, 13774112840606283176450343692386959360000000, 39916801, 26601413551985204697459468533760000000, 8691549299228058158037874507776000001, 10888869501509650026132954262], 'label': '15944266600786427904000.a.1860480._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036338
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [44477334280448384521077569617920000000, 5046, 74147926878256782117804494634732992681647, 6227383680, 52846679250927795415549661808155943073326, 52846679250961316355498203166215420908920, 15537062181715044787337022, 21301247627328971216897460428755826234753, 42549308855525978602159821438320640000000, 10341839515696277394388258576234417680294, 74121333678701673560176877923074048000001, 10341839515685372987824689212030976000000, 21256778507045430527769032410408641307864, 74103449543976333707431278324128793619504, 21301247627318082321594254416674816000007, 10351066062330207117319010963843399097616, 42549308855536882982871497219277804610135, 10341839515685388524886754914243296157670, 63778993109194988493634816007763886080000, 42540124475265886486846706842142235607248, 126, 63778993109194988467731710596105434729174, 63806087362560520260478174126267760640000, 10351066062319318273720609351848370930537, 362886, 1307674368006, 21256778507034526121256292618076160000000, 42540124475265885867415000941655542559134, 355687428096006, 42549308855525978628011838177205616640001, 44477334280463895733292061320053993081, 52864580910025664186006760701655579091201, 39916806, 10368933769051291914680336940726748370230, 31625720490093196418398923197793113157535, 42522206388186154538225820269346902352430, 42549308855525978602210912381800023842974], 'label': '15944266600786427904000.a.1860480._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036339
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [74103457757973225891614394095148057619504, 74147918646565477076640343658192240640000, 5046, 31634395584873354126971623666631513157535, 52873264218813377238590540454102555607248, 21292572532548813508324759959917426234753, 6227383680, 63778984895198096283548594825086170729174, 52846679250927795415549661808155943073326, 52846679250961316355498203166215420908920, 15537062181715044787337022, 63778984895198096309451700236744622080000, 10377625309508757979098672860690908370230, 52882456830753885551418191469272432640001, 10341839515696277394388258576234417680294, 21265461833495100001491512767021056000000, 10341839515685372987824689212030976000000, 42531441166478173434262927089695259091201, 52882456830753885525617265673866839842974, 10341839515685388524886754914243296157670, 31589934696270229635358501473494721307864, 63796869029934340517005744779952128000001, 126, 35785793822982320102741649653760000000, 35785793822997831314956141355893993081, 362886, 52873264218813376619158834553615862559134, 1307674368006, 21292572532537924613021553947836416000007, 355687428096006, 10359749388790780997554231112788295097616, 52882456830764789906277850511344620610135, 42558000395983444666578157358284800000000, 39916806, 10359749388779892153955829500793266930537, 42522206388186154538225820269346902352430, 63806095594251825301642325102808512681647], 'label': '15944266600786427904000.a.1860480._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036340
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [42557992181986552482395041587265536000000, 5041, 13806266614288058947004600230733772721317414, 7, 74139235337788411672674484087348592640001, 42557992181986552482446132530744919813167, 13806284532392822993447040370300457696157664, 13763771009331130886008632777434897393702704, 42557992181986552482446132530744919842974, 74103449543976333733283417065115072681647, 21301247627328971216897460428755826234753, 13806266614288048058135098843084614066974142, 13837874416691049843229035665173128897307870, 13806266614288048429757997860037589468370230, 13837874416691049843203183387065251278642334, 44469120283571711550176290300789993081, 42557992181997441351845461454242609240734, 42531441166478173434262927089695259091201, 13837892326564156042338735569261101142352424, 13837892326564166978928653703243828476908921, 42513523061702996307960193100757291169327, 21301247627318082347497484099827053297967, 121, 6227020801, 74121325464704781375993762152081735097616, 362881, 1307674368001, 13806266614288048042598036661369569280000001, 74121325464693892532395360540086706930537, 355687428096001, 42557992181997456863106717368222700610135, 44469120283556200337961798598656000000, 39916801, 42513523061703011793267123119652864000001, 13763771009331130886602161375655635114967248, 44469120283556200337964067996890729174, 74139235337788411646822467348463616000000], 'label': '15944266600786427904000.a.1860480._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036341
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [51090943479383808000, 70359585434328261004683262241643396243797351, 5041, 70359594125859887597597810992462704165219983, 121645106635852800, 1307674368120, 10351049094978067772641797762022741739929, 70349270187499929194637723150111175060663687, 98631104854962920656389400563875760528852049, 8841761993739701954549843020800, 84857009924056092070145982629003919360000000, 28271510728929404018728009430288302080000000, 13763770992354947858028890063270496785928649, 84867333862443185535828694779382941017928664, 8691540457466064418335919964160000000, 8841777504949745285529600000000, 13774086239192742080141749473539876624793905, 56585499195135631071886795850439444408604374, 6266937600, 10359724180916463487959200626922686934704, 25852016738885016556800, 40279680, 13774094930733188657310064568838389760000000, 28281834667325339246404726468936473586026838, 56595850244221666119216466891925810617476184, 1307674368001, 42045596968378286700500313695982291055825937, 13774086239366472040399657297324574628432121, 70349278862567563400780872165464573234211177, 1307674368006, 56585507886667145532994616867916131695607617, 98620745130608364279479884748427735736382656, 355687428096006, 84857018615614865436746040159483710912313721, 39916801, 10359724400469561631093438671272296581121, 28281834667398545954593213691155521211377846, 13774094930733199546179514987190550528000120, 98631096163257665071214006049396260563541350, 56585499195126766725596923215749260655281921], 'label': '15944266600786427904000.a.46512._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036342
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [52864589124033218936489363779282130479025, 5041, 121645100408832120, 5046, 52846679250927810926708609277317578550831, 52864589124033218936489363766627776681647, 52846679250961316355498203166215420908920, 21283345968220470876759382035152103523798, 356995102464000, 63814778903017970787834449976360960000000, 10377642285702287668866737340536073972337, 42522223364459584710100169887933921860600, 74139218361718337593086393047774659665840, 31634378608961643997803222536211019137857, 21283345968220455391350263378009456640120, 21292564300857895681073963060835318040447, 63770301568737522403364468235103341148942, 10351040872139398109360953443050831191974, 355687468012800, 63788185721168986130733030519668822352430, 5160, 6227025840, 26601413563115482635613168647346322329, 367920, 52882465044750777709749290501406720000000, 31598601046536886640114485380316213310662, 74112115876570533768510907174371676496760, 15511210043330985984000001, 10341848260221458013566659850885481196926, 31598601046547759998305441233398401184855, 355687428101040, 21256786738986244874535326252645331792126, 63788185721157306161312110256373984030736, 26601413551985204697459468533760000000, 10888869450418352160768005040], 'label': '15944266600786427904000.a.1860480._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036343
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [74103449543965429326770821527170157148942, 21283345968220455365498246994811908096001, 13763797577323093837217055067563543114774977, 52891148371482654171601024604814291792126, 26593199577677396447864029249622352430, 21301247627318097858656314842239434550831, 13763779675663747476757626025920911721196927, 1313901388800, 44477334291352791084768948577490479025, 13816617663374184348376938757531434037310656, 52846679250961316355498203166215420908920, 21283345968220470876759382035152103523798, 13785054330091589946768020877467907523665841, 13763779675663724892409901500452727465101655, 21283345968220455365498246639124480000007, 6266937600, 74121333678690784716578476309798256640001, 74147926878245877711240803268427776000000, 21301247627318097832804297747660839916800, 13785036445956864624045102582399329761860601, 26593199555093020565434639686205440001, 126, 26593199565997427026943765954784030736, 52864580910025422345742678274409931852800, 52846679250928182629361477644858358040447, 26593199566223298452497397628082322329, 52891148371222255996548202016656832681647, 26593199555093020514343697514496000000, 21256778507034526121256292618076160000000, 21256778507045414990706710970236928000001, 13816599779239469881882382321139179759604337, 13785009852757196544482911350801392975191975, 39916806, 21283345968220455365498246639124480362881, 13837901001128418978576255750085034332496761], 'label': '15944266600786427904000.a.1860480._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036344
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [35794025503414028879955299857214450230, 8691549310132464670637942953816508296, 5041, 35794025503446752018904671940857834166, 28281861786768884682797957119486942365249840, 42035245952466711922416541380743128188011521, 51212943019548587526, 13774130708304183889858757093186607919858536, 28281834684292680512390253004821654570097921, 13774086239192742095652209924284730816681647, 8691549299243595271192259230538779441, 13774094930742053051400154415814371034204840, 13774122033218234605274473676320158595241647, 121, 13774112840606283191987405752458138257450880, 6227020801, 121645100408832001, 25852016738884976640001, 42035245952466701033547039749802400999511161, 28281852568436383361874237215757455987849536, 362881, 1307674368001, 15511210043330985984000001, 13774122033218234589763314723931344320681647, 28281834684292680512364347981719142400000000, 28281852568436247645259158015298374658982526, 8691549321827971153618274799961240624, 355687428096001, 13774112840606283176450343692386959360000000, 39916801, 42035245952466711922442340391885534512847921, 26601413551985204697459468533760000000, 8691549299228058158037874507776000001, 10888869501509650026132954262, 42035281730028843600207005814428210914761721], 'label': '15944266600786427904000.a.1860480._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036345
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [35794025503414028879955299857214450230, 10333147966397049336179251405969240508296, 5041, 42045579100433087162991399587888262186097921, 35794025503446752018904671940857834166, 10333147966386160466779805722245962779441, 28281861786768884682797957119486942365249840, 42035245952466711922416541380743128188011521, 51212943019548587526, 13774086239192742095652209924284730816681647, 13774122033218234605274473676320158595241647, 121, 13774112840606283191987405752458138257450880, 25852016738884976640001, 6227020801, 121645100408832001, 42035245952466701033547039749802400999511161, 28281852568436383361874237215757455987849536, 362881, 1307674368001, 15511210043330985984000001, 28271492861240355971719848331867324416000000, 13774122033218234589763314723931344320681647, 28281852568436247645259158015298374658982526, 355687428096001, 13763753091226367678412329726602340058204840, 13774112840606283176450343692386959360000000, 13763788885251859349214257443334789935858536, 39916801, 42035245952466711922442340391885534512847921, 10333147966386144929666651337523200000001, 26601413551985204697459468533760000000, 10333147966408744842662231737815385240624, 10888869501509650026132954262, 42035281730028843600207005814428210914761721], 'label': '15944266600786427904000.a.1860480._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036346
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [42045596968131112704119538163372937843849536, 35794025503414028879955299857214450230, 5041, 28271501536326294382945893166735793383511161, 42045623569544528957172094738942352541249840, 35794025503446752018904671940857834166, 28271501536326294367434681330381619200000001, 42045596968130976987504458962913856514982526, 13763797560337797744929090441849084719858416, 10341839515696261857326198862057108954262, 42035245952466711922416541380743128188011521, 51212943019548587526, 13774086239192742095652209924284730816681647, 10341839515685372987824689212030976000000, 10341839515707972900820269612323161240630, 13774122033218234605274473676320158595241647, 10904406512600068446040513336, 121, 13774112840606283191987405752458138257450880, 121645100408832001, 6227020801, 25852016738884976640001, 362881, 10341839515685388524937843596753738779440, 1307674368001, 15511210043330985984000001, 13774122033218234589763314723931344320681647, 28281826009206742116675420006307359786097920, 355687428096001, 13774112840606283176450343692386959360000000, 39916801, 42035245952466711922442340391885534512847921, 26601413551985204697459468533760000000, 13774086239192753823341996377939863258204841, 42035281730028843600207005814428210914761721], 'label': '15944266600786427904000.a.1860480._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036347
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 465120, 'diagramx': None, 'generators': [42045596968131112704119538163372937843849536, 35794025503414028879955299857214450230, 10333147966397049336179251405969240508296, 5041, 28271501536326294382945893166735793383511161, 42045623569544528957172094738942352541249840, 35794025503446752018904671940857834166, 10333147966386160466779805722245962779441, 28271501536326294367434681330381619200000001, 42045596968130976987504458962913856514982526, 51212943019548587526, 28281834684292680512390253004821654570097921, 13774086239192742095652209924284730816681647, 13774122033218234605274473676320158595241647, 121, 13774112840606283191987405752458138257450880, 25852016738884976640001, 6227020801, 121645100408832001, 28271501536326305271815394797676520572011521, 362881, 28271501536326305271841193808818926896847921, 1307674368001, 15511210043330985984000001, 13774122033218234589763314723931344320681647, 355687428096001, 13763753091226367678412329726602340058204840, 28271537330351797781949184270721816290761721, 13774112840606283176450343692386959360000000, 13763788885251859349214257443334789935858536, 39916801, 10333147966386144929666651337523200000001, 26601413551985204697459468533760000000, 10333147966408744842662231737815385240624, 10888869501509650026132954262], 'label': '15944266600786427904000.a.1860480._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036348
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 930240, 'diagramx': None, 'generators': [28271492861240355971719848453512424824832006, 42045614869241896244206983500188661965900807, 5046, 7, 28271492861240355971719899422809496125440006, 42045587766774522962382972495607730061131825, 17918104774950849054916242820544681641, 42045587766774545531219488649853852030391807, 13774112823638941910464121207541631780387504, 42045579075225223718839507913382644098416006, 42045579075225234607708957940417233444726446, 28271519420478703262323280741195181839657928, 13774122050185575871261012696029433857487015, 13774130725289208664295820504780460555089840, 28271510728929404018753861447027187056640006, 13774104132089642697916958738016456986584614, 13774130725289197790963325611752921683031681, 13774086264400594635423388644061953943685160, 28271492861240366876126360810646351422121289, 126, 13774086264400899152768114535122515614621664, 6227020806, 13774104132089653586812261173463149613481537, 362886, 1307674368006, 28271492861240355971719848331867324416000000, 28271510728929414923134573121654607296681647, 42045596993329998654125547082388710471357865, 355687428096006, 42045623544345507275013993345478358593576031, 42045587766774545563511012741072275750152544, 13774086264400605524266986923674441850937889, 42045623544345507677764810243668071559230766, 28271537322128959111774427003668969249923431, 44469120283556200337961798598656000000, 39916806, 42045605668415947938709880443776205662276600, 8691549299228058158037874507776000001, 42045623544345518179394653806805817918246401], 'label': '15944266600786427904000.a.1860480._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036349
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 930240, 'diagramx': None, 'generators': [28271510754137267462905803323692894594416006, 8700293801855403836421930192897487015, 28271510754137278351775253350727483940726446, 25207863459689003936716003923031681, 28271492836032492527568009150761334337576031, 28271501527581802644495617606989316958276600, 28271510728929404018753861447027187056640006, 17918104774950849054916242820544681641, 35810992844664478518878022830884387504, 7, 28271501527581802644521469745769527501900807, 44469120283556200337961798598656000000, 25207874333021498829743542795089840, 28271519420478703262323280741195181839657928, 28271492861240355971719899422809496125440006, 44486096477488587129284242238509481537, 5046, 28271492836032492930318826048951047303230766, 126, 28271492861240355971719848453512424824832006, 28271492861240355971719848331867324416000000, 17892896911491185903509564506007685160, 355687428096006, 28271492836032503431948669612088793662246401, 28271537305152776083768297168040207431357865, 28271510728929414923134573121654607296681647, 44486096477473050016132874508410937889, 39916806, 28271537322128959111774427003668969249923431, 362886, 8691549299228058158037874507776000001, 28271528630049176780705234029654559014152544, 28271528630049154179577193784190013325131825, 28271492861240366876126360810646351422121289, 1307674368006, 17892897216008530629400625067678621664, 28271528630049176748413709938436135294391807, 25207863459663151406677053722584614, 6227020806], 'label': '15944266600786427904000.a.1860480._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036350
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 930240, 'diagramx': None, 'generators': [10359741157099734142939756469874814108673, 10359741157381441833992672058632686884895, 5041, 13763797577322811646033658568761694965554345, 13774122050185576129395704170849408955802833, 7, 13763797560346854687197146485503596109285167, 44486096466599691775759718251632650881, 17918104774935311941643584363524096001, 10341848260188000333503195268497707008143, 13763753091226356208883086642148338485119406, 13763771009331119981627921224809578496000001, 13774122033209404103852837273535885280471368, 17918104785839718505334594981312681647, 10368941983058670538961563291982720280550, 121, 6227020801, 25852016738884976640001, 15537062182071972739241647, 10341839515718893979477148033799950398646, 1307674368001, 362881, 15511210043330985984000001, 17892896934091018987611753769968364920, 13774112832383455652576262014398720632206934, 17918104774935311992734170847805440001, 10341839515696520043721706804128144464408, 10368958959231196647685092488614732394449, 13774122050185576242937762847617890774158945, 44469120283556200337961798598656000000, 39916801, 10368941983047781427692210712739840000000, 13763771009331142566029706883525299007461545, 13774094939486533046623630761282104360004169, 10341848260323813468667001842741643557199], 'label': '15944266600786427904000.a.1860480._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036351
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 930240, 'diagramx': None, 'generators': [10359741157099734142939756469874814108673, 10359741157381441833992672058632686884895, 5041, 7, 44486096466599691775759718251632650881, 17918104774935311941643584363524096001, 10341848260188000333503195268497707008143, 8691549525312738986979998602829285167, 10351040863298023303581324762855894158945, 10351040863297651600979279607884840004169, 17918104785839718505334594981312681647, 8691549321812459943696590228287461545, 10368941983058670538961563291982720280550, 121, 6227020801, 25852016738884976640001, 15537062182071972739241647, 10341839515718893979477148033799950398646, 8700293801855403836543576595189554345, 1307674368001, 362881, 15511210043330985984000001, 17892896934091018987611753769968364920, 17918104774935311992734170847805440001, 10341839515696520043721706804128144464408, 10377617086680831433845752873446008206934, 10368958959231196647685092488614732394449, 10351066071172356350773775808442336471368, 44469120283556200337961798598656000000, 39916801, 10333173174249862753361549573396411802833, 26593190724493593881702310406965119406, 10368941983047781427692210712739840000000, 8691549299228058158037874507776000001, 10341848260323813468667001842741643557199], 'label': '15944266600786427904000.a.1860480._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036352
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  • id: 12036353
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 930240, 'diagramx': None, 'generators': [13774094930742030419329656287888813455104126, 10904406512995140960859407232, 13774094930742030419329707502754000672265598, 121645100408832120, 7, 1313901388800, 13774094930742030451862891748164078589968041, 15511210043330992211020800, 13774094930742041324088088419932746710381769, 5167, 42522214602160477883537476134189469020727, 13774094930742030419329707500119150433219886, 126923872362234561049810262666391212062464126, 51090942171709440001, 355687428464040, 15537062182088718243722470, 13774094930742041323710316871217060617560728, 121, 10904406563691366305216681647, 122002095987492175, 126892273769419738052559038651227878725376127, 13774094930742063892575040226571401675088311, 6227020801, 25852016738884976640001, 13774094930742041308199157918471251279219886, 13774094930742301496042094087455281130960928, 15511261134630152837801640, 11033865759546090512860878017, 53139711467384651809, 13774094930742030419707479049548693437467446, 13774094930742244647457285157390788558065840, 13774094930742053035888995341779148636165160, 363007, 39916801, 51212587272118635185], 'label': '15944266600786427904000.a.1860480._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036354
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 930240, 'diagramx': None, 'generators': [10359741157099734142939756469874814108673, 10359741157381441833992672058632686884895, 13763797577322811646033658568761694965554345, 5041, 13774122050185576129395704170849408955802833, 7, 13763788902219212310653169134608804848364920, 13763761791520146901693912897694956656650881, 13774130725289333604098489027027841419557199, 17918104774935311941643584363524096001, 8691549525312738986979998602829285167, 17918104785839718505334594981312681647, 8691549321812459943696590228287461545, 10368941983058670538961563291982720280550, 13774086264400595022637301634374406988394449, 121, 6227020801, 25852016738884976640001, 15537062182071972739241647, 10341839515718893979477148033799950398646, 1307674368001, 362881, 15511210043330985984000001, 17918104774935311992734170847805440001, 10341839515696520043721706804128144464408, 10377617086680831433845752873446008206934, 13774122050185576242937762847617890774158945, 13774130725289197790963325220453597483008143, 10351066071172356350773775808442336471368, 44469120283556200337961798598656000000, 39916801, 26593190724493593881702310406965119406, 10368941983047781427692210712739840000000, 8691549299228058158037874507776000001, 13774094939486533046623630761282104360004169], 'label': '15944266600786427904000.a.1860480._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036355
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 930240, 'diagramx': None, 'generators': [10359741157099734142939756469874814108673, 10359741157381441833992672058632686884895, 5041, 7, 13763788902219212310653169134608804848364920, 13763761791520146901693912897694956656650881, 13774130725289333604098489027027841419557199, 13763797560346854687197146485503596109285167, 17918104774935311941643584363524096001, 13763753091226356208883086642148338485119406, 13763771009331119981627921224809578496000001, 13774122033209404103852837273535885280471368, 10351040863298023303581324762855894158945, 10351040863297651600979279607884840004169, 17918104785839718505334594981312681647, 10368941983058670538961563291982720280550, 13774086264400595022637301634374406988394449, 121, 6227020801, 25852016738884976640001, 15537062182071972739241647, 10341839515718893979477148033799950398646, 8700293801855403836543576595189554345, 1307674368001, 362881, 15511210043330985984000001, 13774112832383455652576262014398720632206934, 17918104774935311992734170847805440001, 10341839515696520043721706804128144464408, 13774130725289197790963325220453597483008143, 44469120283556200337961798598656000000, 39916801, 10333173174249862753361549573396411802833, 10368941983047781427692210712739840000000, 13763771009331142566029706883525299007461545], 'label': '15944266600786427904000.a.1860480._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036356
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 930240, 'diagramx': None, 'generators': [28271528630049154179577193784190013325131825, 28271492861240355971719848453512424824832006, 35810992844664478518878022830884387504, 42045614886218068398828970877513232143657928, 5046, 7, 28271492861240355971719899422809496125440006, 17918104774950849054916242820544681641, 8700293801855403836421930192897487015, 42045579075225223718839507913382644098416006, 42045579075225234607708957940417233444726446, 28271501527581802644495617606989316958276600, 13774130725289208664295820504780460555089840, 28271501527581802644521469745769527501900807, 28271528630049176780705234029654559014152544, 28271510728929404018753861447027187056640006, 13774104132089642697916958738016456986584614, 13774130725289197790963325611752921683031681, 13774086264400594635423388644061953943685160, 13774122033209392827743671792293642240000001, 28271492861240366876126360810646351422121289, 13774086264400899152768114535122515614621664, 126, 6227020806, 13774104132089653586812261173463149613481537, 362886, 1307674368006, 28271492861240355971719848331867324416000000, 28271510728929414923134573121654607296681647, 42045596993329998654125547082388710471357865, 42045623544345507275013993345478358593576031, 355687428096006, 13774086264400605524266986923674441850937889, 42045623544345507677764810243668071559230766, 28271537322128959111774427003668969249923431, 44469120283556200337961798598656000000, 28271528630049176748413709938436135294391807, 39916806, 42045623544345518179394653806805817918246401], 'label': '15944266600786427904000.a.1860480._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1860480.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1860480._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036357
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 976752, 'diagramx': None, 'generators': [1307674368127, 13763761774543974762609145973680152661989550, 15537062060425564615761967, 8683317629700755945936546562048000000, 6266937600, 355687428096001, 10888869450418352160768000001, 7, 13774094930733188705138594628173329735742760, 40279806, 21274679653919734129673014753099776000000, 5046, 62395987854403997547669701001216000000, 126, 13763753091226355935185429999933063168000000, 15537062181716285271223806, 368041, 8683326460573880235220148944896000000, 10341831284004956816162169531924480000000, 8683326460589417348371517982708465960, 25852017094572444657847, 8691549310116927608456226668544000000], 'label': '15944266600786427904000.a.1953504._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1953504.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1953504._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036358
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 976752, 'diagramx': None, 'generators': [10341839506854499889438519674958975120951, 5046, 8683326460573880235220148944896000000, 7, 21274679653919734129673014753099776000000, 10333156189224814644651529133030368987728, 13806275322804688584417260896059991336375801, 8683326460589391445263836926418750136, 62395987854403997547669701001216000000, 10333156189235703514102582434635177342039, 10341831284004956816162169531924480000000, 8222838654177974030312835126121673, 25852017094572444657847, 6266937600, 8683317629700755945936546562048000000, 8683326460573880235220504632326906568, 8222838669689184073645128696920376, 8231680416711292221557565918028921, 8691549310116927608456226668544000000, 8841761993739826615328975173991, 126, 8683317618827423715973747089493989550, 40279806, 10341839506854547692065464944588103742760, 8691540457481575628501260113586386905, 8683326460589417348371517982708465960, 355687428096001, 8683317629716293007996988878395609895, 368041, 1307674368127, 15537062060425564615761967, 15537062181716285271223806, 10341839515685388524886870928337281845119, 13816608462557088693794678885648226135228743, 8222838669689184073645128696942840, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1953504._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1953504.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1953504._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036359
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 976752, 'diagramx': None, 'generators': [10341839506854499889438519674958975120951, 5046, 8683326460573880235220148944896000000, 7, 21274679653919734129673014753099776000000, 42522231578354426970731732831249704375801, 10333156189224814644651529133030368987728, 8683326460589391445263836926418750136, 62395987854403997547669701001216000000, 10333156189235703514102582434635177342039, 10341831284004956816162169531924480000000, 8222838654177974030312835126121673, 25852017094572444657847, 6266937600, 8683317629700755945936546562048000000, 8683326460573880235220504632326906568, 8222838669689184073645128696920376, 8231680416711292221557565918028921, 8691549310116927608456226668544000000, 52855371330732758609248885715162967228743, 8841761993739826615328975173991, 126, 8683317618827423715973747089493989550, 40279806, 10341839506854547692065464944588103742760, 8691540457481575628501260113586386905, 8683326460589417348371517982708465960, 355687428096001, 8683317629716293007996988878395609895, 368041, 15537062060425564615761967, 1307674368127, 15537062181716285271223806, 10341839515685388524886870928337281845119, 8222838669689184073645128696942840, 10888869450418352160768000001], 'label': '15944266600786427904000.a.1953504._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1953504.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1953504._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036360
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 976752, 'diagramx': None, 'generators': [8222849558558634491997289464942841, 5046, 8683326460573880235220148944896000000, 7, 21274679653919734129673014753099776000000, 8683326460589391445263836926418750136, 62395987854403997547669701001216000000, 10341831284004956816162169531924480000000, 13774094930733199546205418100900173947024951, 25852017094572444657847, 6266937600, 13774094930733199594008045046525490503742761, 8222849543047424448664995894126713, 8683317629700755945936546562048000000, 8683326460573880235220504632326906568, 8222849558558634491997289464920256, 8231680416711292221557565918028921, 8852650863190244967489743168951, 13774094930742030434840866452509239721761919, 8691549310116927608456226668544000000, 126, 40279806, 8691540457481575628501260113586386905, 8683326460589417348371517982708465960, 355687428096001, 42522231578343538101281314479088936375800, 8683317629716293007996988878395609895, 13763761774543974762609145973680152661989550, 13763753091226345046315979581580902400000001, 368041, 1307674368127, 15537062060425564615761967, 52855371330743647478699304067323735228737, 13774086247415569860960631110713932768987729, 15537062181716285271223806, 10333156189224814644652164082474409342159], 'label': '15944266600786427904000.a.1953504._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1953504.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1953504._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036361
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 976752, 'diagramx': None, 'generators': [8222849558558634491997289464942841, 5046, 8683326460573880235220148944896000000, 7, 21274679653919734129673014753099776000000, 42522231578354426970731732831249704375801, 8683326460589391445263836926418750136, 62395987854403997547669701001216000000, 10341831284004956816162169531924480000000, 13774094930733199546205418100900173947024951, 25852017094572444657847, 6266937600, 13774094930733199594008045046525490503742761, 8222849543047424448664995894126713, 8683317629700755945936546562048000000, 8683326460573880235220504632326906568, 8222849558558634491997289464920256, 8231680416711292221557565918028921, 8852650863190244967489743168951, 13774094930742030434840866452509239721761919, 8691549310116927608456226668544000000, 52855371330732758609248885715162967228743, 126, 40279806, 8691540457481575628501260113586386905, 8683326460589417348371517982708465960, 355687428096001, 8683317629716293007996988878395609895, 13763761774543974762609145973680152661989550, 13763753091226345046315979581580902400000001, 368041, 1307674368127, 15537062060425564615761967, 13774086247415569860960631110713932768987729, 15537062181716285271223806, 10333156189224814644652164082474409342159], 'label': '15944266600786427904000.a.1953504._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1953504.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1953504._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036362
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 976752, 'diagramx': None, 'generators': [8222849558558634491997289464942841, 13774094930733188657335967682903700607120951, 5046, 8683326460573880235220148944896000000, 7, 21274679653919734129673014753099776000000, 8683326460589391445263836926418750136, 62395987854403997547669701001216000000, 10341831284004956816162169531924480000000, 25852017094572444657847, 6266937600, 8222849543047424448664995894126713, 8683317629700755945936546562048000000, 8683326460573880235220504632326906568, 8222849558558634491997289464920256, 8231680416711292221557565918028921, 8852650863190244967489743168951, 13763761774543963873739695555327991893989544, 8691549310116927608456226668544000000, 126, 40279806, 8691540457481575628501260113586386905, 8683326460589417348371517982708465960, 13763753091226355935185429999933063168000000, 355687428096001, 42522231578343538101281314479088936375800, 8683317629716293007996988878395609895, 368041, 1307674368127, 15537062060425564615761967, 52855371330743647478699304067323735228737, 15537062181716285271223806, 13774094930742041323710316870861400449845119, 10333156189224814644652164082474409342159, 13774086247415580749830081529066093536987728, 13774094930733188705138594628173329735742760], 'label': '15944266600786427904000.a.1953504._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1953504.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1953504._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036363
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [10359732485803572363229820243743445745846, 10359732412596864174742598023388146026839, 5041, 13774094930733188657310115659781869143808000, 56585517096255279974286800240589595091844184, 121645106635852800, 10351040863297651601463682431213732566704, 1307674368120, 28281852560231724876079810794380053952313721, 98631096163257665023411271671931698323797351, 13774094930733188672821274612169381971020800, 28271492844282477133311677058451996026295687, 13774094930742030419303804270792939603020800, 8691540457466064418335919964160000000, 70359612010533949545736767672325195097923624, 42035263828387429529044289017068682963541350, 6266937600, 25852016738885016556800, 56595841026410703897130238608868992784793905, 42035272503647007805863837896097057168852049, 84867325179134408501420598867389417787371929, 70359612010533949545710487725859924724771177, 10351041082850749744597920478178690949121, 13774094930733188657310064568838389760000000, 98620745122394378291676847011254099097096649, 42035272503473446551109434547097249135281921, 28281843885118628817835598899351388160000000, 1307674368001, 28281843885118639706705372124260085285219983, 13774086239366472040399657297324574628432121, 1307674368006, 56595832351315912850525562667778703360000000, 355687428096006, 13774094930742041308173254689145100411300600, 42035272503482310897399307181787432888604374, 13774086239448882681772304265693988975825937, 39916801, 42045579083448062372991578201050949330750656, 13774094930733199546179514987190550528000120, 84857018615596549551722626298204433775607617], 'label': '15944266600786427904000.a.46512._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036364
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 976752, 'diagramx': None, 'generators': [8222849558558634491997289464942841, 13774094930733188657335967682903700607120951, 5046, 8683326460573880235220148944896000000, 7, 21274679653919734129673014753099776000000, 42522231578354426970731732831249704375801, 8683326460589391445263836926418750136, 62395987854403997547669701001216000000, 10341831284004956816162169531924480000000, 25852017094572444657847, 6266937600, 8222849543047424448664995894126713, 8683317629700755945936546562048000000, 8683326460573880235220504632326906568, 8222849558558634491997289464920256, 8231680416711292221557565918028921, 8852650863190244967489743168951, 13763761774543963873739695555327991893989544, 8691549310116927608456226668544000000, 52855371330732758609248885715162967228743, 126, 40279806, 8691540457481575628501260113586386905, 8683326460589417348371517982708465960, 13763753091226355935185429999933063168000000, 355687428096001, 8683317629716293007996988878395609895, 368041, 15537062060425564615761967, 1307674368127, 15537062181716285271223806, 13774094930742041323710316870861400449845119, 10333156189224814644652164082474409342159, 13774086247415580749830081529066093536987728, 13774094930733188705138594628173329735742760], 'label': '15944266600786427904000.a.1953504._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1953504.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1953504._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036365
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [17892896911491239962727393363810186470, 13763753099449194589389204834398818699031345, 8683317618827397705561525387264000000, 5041, 7, 13774086247415569860934830306924834722714161, 13774094922510350018643354221700778689630726, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8691549310117007463855693336170469431, 13763753091226355950696693561459095408555311, 25903229683158464681647, 10341831292846718809901993132929955568719, 8222838669689132861056548864000000, 10333156189235687977040009417349022953737, 121, 356995102826881, 8852651374826853188822994669785, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 10333147975238795792856893290641934138031, 1307674368001, 362881, 71588600438178321565218881981888681640, 13763753099449194589363352817658626051605062, 122002095511663921, 13774094930742030434869124488043469665361966, 13763753091226355950697710642904464579157161, 42035272511696217419977908857083501117440001, 6227388721, 10333147966386144929666651337523200000001, 13763753099449194589389204834398818699019656, 13763761833695374180668807373624437765196920, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036367
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [10341890444267930145684563697446927809495, 13774094981670602103077520662570544934132423, 8683317618827397705561525387264000000, 5041, 7, 13763753091226345046341882811262753190348495, 13763753150414341970109814411009154267001895, 62404192422341847244212351582325984990, 13763753091262942552075950098051406369522503, 8841777504949745285529600000000, 10333147975238811329918953360512895141056, 13774086273163424036611141674924231348657358, 25903229683158464681647, 13763761808514656703542168079749484530558136, 8222838669689132861056548864000000, 121, 356995102826881, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13774086298389580781439733364369714591392974, 15537062060069870961003007, 13774104157297517015913144278369695444296528, 1307674368001, 362881, 10341839552282863210731989451437092126510, 122002095511663921, 42035272511696217419977908857083501117440001, 13774094964703881487164399522220469293499647, 6227388721, 13774157844778182479600017693173700792396384, 10333147966386144929666651337523200000001, 50946842400154448276405248342404054, 8691577044082954937150192187659614793, 13763761774580561348451234289068707881022761, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036368
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [10341890444267930145684563697446927809495, 13774094981670602103077520662570544934132423, 8683317618827397705561525387264000000, 5041, 7, 13763753091226345046341882811262753190348495, 13763753150414341970109814411009154267001895, 62404192422341847244212351582325984990, 13763753091262942552075950098051406369522503, 8841777504949745285529600000000, 10333147975238811329918953360512895141056, 13774086273163424036611141674924231348657358, 25903229683158464681647, 13763761808514656703542168079749484530558136, 28281834675539347027485552804902775281546464, 8222838669689132861056548864000000, 121, 356995102826881, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13774086298389580781439733364369714591392974, 15537062060069870961003007, 13774104157297517015913144278369695444296528, 1307674368001, 362881, 10341839552282863210731989451437092126510, 122002095511663921, 13774094964703881487164399522220469293499647, 6227388721, 13774157844778182479600017693173700792396384, 10333147966386144929666651337523200000001, 50946842400154448276405248342404054, 8691577044082954937150192187659614793, 13763761774580561348451234289068707881022761, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036369
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [17892896911491239962727393363810186470, 5041, 8683317618827397705561525387264000000, 28271519420469872373661929275502598717440000, 7, 13774086247415569860934830306924834722714161, 13774086247415580749804229512328442906759385, 13774086239192742095627428385184159488597161, 13774086239192742080141002186204517600832305, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8683326460589417297401865283942866633, 8691549310117007463855693336170469431, 25903229683158464681647, 13774094922510350003157996073463577273438841, 8222838669689132861056548864000000, 8222849558584435418149696783230862, 121, 356995102826881, 13774094973438921671394699190497513108919686, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13774094930742030419357914566357584090556721, 15537062060069870961003007, 8852666400252302022989695140790, 8852666860185001426024410498910, 362881, 1307674368001, 122002095511663921, 80271918056990182208720337498191678647, 13774086247415580749830081529066020212245177, 6227388721, 13774086247415580749804229512328442906747577, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036370
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [5041, 8683317618827397705561525387264000000, 28271519420469872373661929275502598717440000, 7, 13774086247415569860934830306924834722714161, 13774086247415580749804229512328442906759385, 13774086239192742095627428385184159488597161, 13774086239192742080141002186204517600832305, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8683326460589417297401865283942866633, 8691549310117007463855693336170469431, 25903229683158464681647, 13774094922510350003157996073463577273438841, 8222838669689132861056548864000000, 8222849558584435418149696783230862, 121, 356995102826881, 13774094973438921671394699190497513108919686, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13774094930742030419357914566357584090556721, 15537062060069870961003007, 8852666400252302022989695140790, 8852666860185001426024410498910, 362881, 1307674368001, 122002095511663921, 80271918056990182208720337498191678647, 10351040863297636169629378730887010186464, 13774086247415580749830081529066020212245177, 6227388721, 13774086247415580749804229512328442906747577, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036371
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [5041, 8683317618827397705561525387264000000, 7, 13774086247415569860934830306924834722714161, 13774086247415580749804229512328442906759385, 13774086239192742095627428385184159488597161, 13774086239192742080141002186204517600832305, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8683326460589417297401865283942866633, 8691549310117007463855693336170469431, 25903229683158464681647, 13774094922510350003157996073463577273438841, 8222838669689132861056548864000000, 8222849558584435418149696783230862, 121, 356995102826881, 13774094973438921671394699190497513108919686, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13774094930742030419357914566357584090556721, 15537062060069870961003007, 8852666400252302022989695140790, 8852666860185001426024410498910, 362881, 1307674368001, 122002095511663921, 80271918056990182208720337498191678647, 10351040863297636169629378730887010186464, 42035272511696217419977908857083501117440001, 13774086247415580749830081529066020212245177, 6227388721, 13774086247415580749804229512328442906747577, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036372
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [17892896911491239962727393363810186470, 5041, 8683317618827397705561525387264000000, 7, 13774086247415569860934830306924834722714161, 13774086247415580749804229512328442906759385, 13774086239192742095627428385184159488597161, 13774086239192742080141002186204517600832305, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8683326460589417297401865283942866633, 8691549310117007463855693336170469431, 25903229683158464681647, 13774094922510350003157996073463577273438841, 8222838669689132861056548864000000, 8222849558584435418149696783230862, 121, 356995102826881, 13774094973438921671394699190497513108919686, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13774094930742030419357914566357584090556721, 15537062060069870961003007, 8852666400252302022989695140790, 8852666860185001426024410498910, 362881, 1307674368001, 122002095511663921, 80271918056990182208720337498191678647, 42035272511696217419977908857083501117440001, 13774086247415580749830081529066020212245177, 6227388721, 13774086247415580749804229512328442906747577, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036373
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [13763753099449194604874562860990919706747583, 17892896911491239962727393363810186470, 5041, 8683317618827397705561525387264000000, 28271519420469872373661929275502598717440000, 7, 13774086247415569860934830306924834722714161, 13763761774543963858228329543771154482270841, 10333147966386160466728711407394161003006, 13774086239192742095627428385184159488597161, 10413419884443135111875371675021391678646, 13763753091226355935211335413221893992000305, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8691549310117007463855693336170469431, 10341831292846734346964053202807142866513, 25903229683158464681647, 13763753099449194604874562860990919706759391, 10333147975238811329918953360512895140784, 8222838669689132861056548864000000, 10333156189235703514102069487220023147662, 10333147975238811789851531118447201666910, 121, 356995102826881, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13763761825472535526465032539159989908919687, 362881, 1307674368001, 122002095511663921, 13763761782775644274428247915020060890556720, 6227388721, 13763753099449194604900414877728497011882297, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036374
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [28281825983998878688009370371069862052566704, 5041, 13774094930733188657310115659781869143808000, 121645106635852800, 13774104140312481336583671512412301010750656, 56595850235998827465012692178750769467371929, 1307674368120, 28281852560231724876079810794380053952313721, 28281834675621384608771136508882391765745846, 98631096163257665023411271671931698323797351, 98631086953669530582144674360963843417923624, 13774094930733188672821274612169381971020800, 70349270179258797255268940322615450777096649, 13774094930742030419303804270792939603020800, 8691540457466064418335919964160000000, 42035263828387429529044289017068682963541350, 6266937600, 25852016738885016556800, 56595841026410703897130238608868992784793905, 42035272503647007805863837896097057168852049, 13774094930733188657310064568838389760000000, 42035272503473446551109434547097249135281921, 28281843885118628817835598899351388160000000, 17901146896096903770369813347706295687, 1307674368001, 28281843885118639706705372124260085285219983, 28281834675548177900582649286662036466026839, 1307674368006, 56595832351315912850525562667778703360000000, 13774086239366472040399657297324574628432121, 84856992039390861010694706929228243411844184, 355687428096006, 13774094930742041308173254689145100411300600, 42035272503482310897399307181787432888604374, 13774086239448882681772304265693988975825937, 28281825984218431786152504609116827010949121, 39916801, 98631086953669530582118394414498573044771177, 13774094930733199546179514987190550528000120, 84857018615596549551722626298204433775607617], 'label': '15944266600786427904000.a.46512._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036375
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [13763753099449194604874562860990919706747583, 5041, 8683317618827397705561525387264000000, 28271519420469872373661929275502598717440000, 7, 13774086247415569860934830306924834722714161, 13763761774543963858228329543771154482270841, 10333147966386160466728711407394161003006, 13774086239192742095627428385184159488597161, 10413419884443135111875371675021391678646, 13763753091226355935211335413221893992000305, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8691549310117007463855693336170469431, 10341831292846734346964053202807142866513, 25903229683158464681647, 13763753099449194604874562860990919706759391, 10333147975238811329918953360512895140784, 8222838669689132861056548864000000, 10333156189235703514102069487220023147662, 10333147975238811789851531118447201666910, 121, 356995102826881, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13763761825472535526465032539159989908919687, 362881, 1307674368001, 122002095511663921, 10351040863297636169629378730887010186464, 13763761782775644274428247915020060890556720, 6227388721, 13763753099449194604900414877728497011882297, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036376
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [13763753099449194604874562860990919706747583, 5041, 8683317618827397705561525387264000000, 7, 13774086247415569860934830306924834722714161, 13763761774543963858228329543771154482270841, 10333147966386160466728711407394161003006, 13774086239192742095627428385184159488597161, 10413419884443135111875371675021391678646, 13763753091226355935211335413221893992000305, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8691549310117007463855693336170469431, 10341831292846734346964053202807142866513, 25903229683158464681647, 13763753099449194604874562860990919706759391, 10333147975238811329918953360512895140784, 8222838669689132861056548864000000, 10333156189235703514102069487220023147662, 10333147975238811789851531118447201666910, 121, 356995102826881, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13763761825472535526465032539159989908919687, 362881, 1307674368001, 122002095511663921, 10351040863297636169629378730887010186464, 42035272511696217419977908857083501117440001, 13763761782775644274428247915020060890556720, 6227388721, 13763753099449194604900414877728497011882297, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036377
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [13763753099449194604874562860990919706747583, 17892896911491239962727393363810186470, 5041, 8683317618827397705561525387264000000, 7, 13774086247415569860934830306924834722714161, 13763761774543963858228329543771154482270841, 10333147966386160466728711407394161003006, 13774086239192742095627428385184159488597161, 10413419884443135111875371675021391678646, 13763753091226355935211335413221893992000305, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8691549310117007463855693336170469431, 10341831292846734346964053202807142866513, 25903229683158464681647, 13763753099449194604874562860990919706759391, 10333147975238811329918953360512895140784, 8222838669689132861056548864000000, 10333156189235703514102069487220023147662, 10333147975238811789851531118447201666910, 121, 356995102826881, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 13763761825472535526465032539159989908919687, 362881, 1307674368001, 122002095511663921, 42035272511696217419977908857083501117440001, 13763761782775644274428247915020060890556720, 6227388721, 13763753099449194604900414877728497011882297, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036378
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [17892896911491239962727393363810186470, 13763753099449194589389204834398818699031345, 8683317618827397705561525387264000000, 5041, 7, 13774086247415569860934830306924834722714161, 13774094922510350018643354221700778689630726, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8691549310117007463855693336170469431, 13763753091226355950696693561459095408555311, 25903229683158464681647, 10341831292846718809901993132929955568719, 8222838669689132861056548864000000, 10333156189235687977040009417349022953737, 121, 356995102826881, 8852651374826853188822994669785, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 10333147975238795792856893290641934138031, 1307674368001, 362881, 71588600438178321565218881981888681640, 13763753099449194589363352817658626051605062, 122002095511663921, 13774094930742030434869124488043469665361966, 13763753091226355950697710642904464579157161, 6227388721, 10333147966386144929666651337523200000001, 42035272511696217435514970917153372078443006, 13763753099449194589389204834398818699019656, 13763761833695374180668807373624437765196920, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036379
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [13763753099449194589389204834398818699031345, 8683317618827397705561525387264000000, 5041, 7, 13774086247415569860934830306924834722714161, 13774094922510350018643354221700778689630726, 17892896911506751172770724349754264745, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8691549310117007463855693336170469431, 13763753091226355950696693561459095408555311, 25903229683158464681647, 10341831292846718809901993132929955568719, 8222838669689132861056548864000000, 10333156189235687977040009417349022953737, 121, 356995102826881, 8852651374826853188822994669785, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 10333147975238795792856893290641934138031, 1307674368001, 362881, 71588600438178321565218881981888681640, 13763753099449194589363352817658626051605062, 122002095511663921, 13774094930742030434869124488043469665361966, 13763753091226355950697710642904464579157161, 6227388721, 10333147966386144929666651337523200000001, 42035272511696217435514970917153372078443006, 13763753099449194589389204834398818699019656, 13763761833695374180668807373624437765196920, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036380
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1058148, 'diagramx': None, 'generators': [13763753099449194589389204834398818699031345, 8683317618827397705561525387264000000, 5041, 7, 13774086247415569860934830306924834722714161, 13774094922510350018643354221700778689630726, 17892896911506751172770724349754264745, 8683317629700757016670282445540542846, 8841777504949745285529600000000, 8691549310117007463855693336170469431, 13763753091226355950696693561459095408555311, 25903229683158464681647, 10341831292846718809901993132929955568719, 8222838669689132861056548864000000, 10333156189235687977040009417349022953737, 121, 356995102826881, 8852651374826853188822994669785, 13774086239192731191245646232918425600000000, 10904380660461683146752000000, 10333147975238795792856893290641934138031, 1307674368001, 362881, 71588600438178321565218881981888681640, 13763753099449194589363352817658626051605062, 122002095511663921, 13774094930742030434869124488043469665361966, 13763753091226355950697710642904464579157161, 42035272511696217419977908857083501117440001, 6227388721, 10333147966386144929666651337523200000001, 13763753099449194589389204834398818699019656, 13763761833695374180668807373624437765196920, 39921961, 51212944267261020840], 'label': '15944266600786427904000.a.2116296._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036381
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2116296, 'diagramx': None, 'generators': [95404680204552037862310613341234146647686, 5041, 10333156189235703514102069485911872601038, 7, 13774094922519191765151784560748467419032734, 15537062060069870960640000, 13763761782766802527891660967195479564904897, 31607810662416167267075879627129558841606, 8683326471478260895681832091648000000, 8683317618827423608791208606609054201, 8222849543047425608610464543971079, 6267305527, 8841777504949745285529600000000, 8683326471478340857872491828377349041, 25903229683158464681647, 122000787877212840, 13763753091226345061827189624911888384000000, 8691540468354933868876286881105590966, 8691540457466065488813559591750224425, 13763753099449194604874614073578198094831856, 121, 10341839515696277368485150895177728000000, 8231691305041113059677367712749382, 10904380660461683146752000000, 367920, 8691540468354933868876274227014687342, 355687428096001, 10341839515696277394337289280470914848713, 1307674373161, 8222849543047373236077723648000000, 39916801, 10333147966397049364279526807068769234224, 13795351726252992828330116477706802011324721, 51090942171749361846, 8683317618811912398747524742495820207], 'label': '15944266600786427904000.a.2116296._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036382
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2116296, 'diagramx': None, 'generators': [8841761993739701954543616000001, 10333147966386144929666651337523200000001, 122000787836928000, 8691549299243595271310888652224681647, 6266937600, 7, 42035272511696217419977908857083501117440001, 5160, 1313901388800, 13774086239192731191245646232918425600000000, 126, 42035254618799295055485576297309850878377526, 15537062060069870960640000, 8691540468354959828197551129424005430, 367920, 28281852577216760571675284422910100514923006, 51212587272118272000, 25903107681056686080000, 356995102464000, 10904380660461683146752000000, 40279680, 8222838654177922817725562880000001], 'label': '15944266600786427904000.a.2116296._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2116296.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2116296._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036383
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [70317080628545994414931068601953287944361640, 33952366055960455627448273276928000, 31598618032171711489751723374961344848425, 70327995567015679625919215560182718907133649, 42056511372107308109808790360448404481925430, 7, 42045579092228541809490126717074262804182694, 31598618032171437792044233507749533751096, 21265470047491992185674628538040320000000, 8852698691776515239585862813790, 56564242441827527873829267640540224556012937, 13774086256196060171385249598861370607780481, 10341856510161701670607411949849321472000, 5167, 40284847, 21256769753690184582319338691832817470761, 13763761782775644274374137619455410176000000, 70327995541807206760054550098623231779992624, 42056502688816835023564910229847544508170887, 17003328979546023812342907971390647, 10341831292857607679352289838628864000000, 42035245969452335600236132068861668102603662, 70306747446608949203762353660630135323912671, 8231680416171662519680106496000000, 28292749639747390513352365880404986078796806, 126, 121645100408832001, 13763761774552816509091517358465999716777641, 56564242433595847457683508350189071047715240, 362886, 56542985697282310942377281999785379298487801, 42035254644537664219261690427066372679132727, 28281834709500555168072916913589312764824625, 8222849543047373236077723648000000, 13785009877956218226615209904868808661099190, 16994476328656930584353832960000000, 10341831292857607705204306934515170487800, 28303082779509242580864124985011936978435510, 70317071928252192575038492936199208960000000], 'label': '15944266600786427904000.a.2170560._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036384
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [1307674736047, 28271492878226001427278392740656872908683185, 13774086273145097295034580828760774778044726, 126, 33961218706823645747399296499769720, 121645100449116846, 28281834667343643451461075241011748499683511, 8852650863190120306704384000000, 42035254652778796158605106154380452708807752, 25226156760365655286104638879608625, 42045579092210259413194136207467381238422441, 70306738763300171863445686493760261820836785, 51212942959586289967, 42184046472132118025127591936000000, 31598609799892133800608582456705024000000, 10341831284004956816162169531924480000000, 28303091428847348982525148768889733120000000, 8222849543047373236077723648000000, 8852666374400285282790816753847, 7, 355687468380846, 28271492836050785828352672387501642931464550, 5160, 56574575623764573359910841906903867933013344, 28281834675566471216743695628928673503443777, 10333164960873362456098866630789086193847, 13763761774543963858202475099775303680000000, 28303082762533048276800536006835676869679921, 39921847, 42175215599033680879909194513393847, 70317071936483873006721416712153261462915544, 363000], 'label': '15944266600786427904000.a.2170560._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036385
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 342, 'diagramx': None, 'generators': [10341839515956691027071697883567306979414, 8691540468354959771983599589699715760, 5041, 7, 10341839506854515374745449311591240208686, 8691549299243595220219945220349936593, 10341831284015845685612587884091475406847, 10341839506843626531198138626531708752871, 8222838654177922817725562880000001, 10341831293140362848091421358011004056728, 10333147975238811329969923032806834006809, 10333156216382478417282535108687558533550, 8683317618827397705684681093072587543, 10333190159917661279249561105402968989791, 51090942171709440001, 8222838654203774834479717597476054, 8683317618811886495518194401280000001, 10333147975238972674710726750487489490334, 10333147966386160466779802350880033561033, 121, 25852016738884976640001, 121645100408832001, 6227020801, 26601413562889585409134094646325668480, 10333156198066561128090715000637437549583, 8222962496974828209601915977930670, 1307674368001, 362881, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 8691540468354934883652508141006702078, 39916801, 10333147966386144929666651337523200000001, 10341831284004972353275442189073786301151, 8683326460896513562638917052266378286, 26759616865712884770910, 8222838654393889353307219382915766, 10341839515685372987825585174693920900150, 10888869450418352160768000001], 'label': '15944266600786427904000.a.684._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '684.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '684._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036386
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 23256, 'diagramx': None, 'generators': [13763770992346106080549307418165297451399249, 8691567615160911122371091957175816671, 1313941673647, 42035272503473367876930484530063605760000000, 42045587758542842546373324476196448458672415, 13763779667440875349388429699926307293977607, 51212587272118272121, 40284721, 7, 28271492844273624482422634921763401768124846, 13763770984132109203876497606256074176681527, 10359732403766006534796825795335708930616, 10888869450539997261176832007, 10351049095271696245511008337598616668847, 8841761993790792896715325440126, 8222838654177922817725562880000001, 42035263820402414672504695015566191668572727, 8691540457466064418335919964160000000, 13763779667449717126893379323922404274543942, 10359724189803410876916434273046381893040, 10351049094988956642092472207823675397161, 10359724437056178469913086024269957365345, 13774094930733188657310064568838389760000000, 13763770984123256553580871775840489126122585, 42035263820164884471075867172753132746578231, 15511261134628845121536127, 13763779667440886253769360470182997310596481, 5160, 42045579075225223718813655504976073455606446, 126, 10351040872150287276778747567260384658264, 6267300486, 362881, 13763779675672566669914900664551963600640415, 13763779667449717126893328232625859078752121, 25852016738884976645161, 355687428096001, 42045579083456915024394396096117999869957454, 28271492844264172943739620701162428979445328, 42035263828387440370110954088285457565751375, 42035263820164590827063580853316641694742472, 25852138739679080868480, 10359724189769098865255679664805146270087], 'label': '15944266600786427904000.a.46512._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '46512.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '46512._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036387
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [31598609799881244931158164104544256000001, 1307674736047, 28271492836059627590346412089456186547464544, 13774086273145097295034580828760774778044726, 42045579092210248524324685789115220470422440, 28281834667334801689467335539057204883320631, 126, 33961218706823645747399296499769720, 28281834675557629454749955926975437561811777, 56574575615541734705732919089178305053013350, 121645100449116846, 8852650863190120306704384000000, 25226156760365655286104638879608625, 28271492870003162773100469922931310028683191, 70306738763300171863445686493760261820836785, 51212942959586289967, 42184046472132118025127591936000000, 10341831284004956816162169531924480000000, 28303091428847348982525148768889733120000000, 8222849543047373236077723648000000, 8852666374400285282790816753847, 7, 355687468380846, 42035254644555957504427183336654889828812792, 5160, 10333164960873362456098866630789086193847, 13763761774543963858202475099775303680000000, 28303082762533048276800536006835676869679921, 39921847, 42175215599033680879909194513393847, 70317071936483873006721416712153261462915544, 363000], 'label': '15944266600786427904000.a.2170560._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036388
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [1307674736047, 10333164960873362456098866630789086193847, 28303091428847348982525148768889733120000000, 7, 363000, 56553327511580681332530305268546175478422440, 70317071936483883895590815922855860985811777, 70317071928252192590575554996278763155683511, 33961218706823645747399296499769720, 13763761774543963858202475099775303680000000, 42175215599033680879909194513393847, 70306738763300182752315136912112422588836791, 10341831284004956816162169531924480000000, 56542985706017351111122223762758427492807752, 70306747488793006274365862770220105164683191, 70317071936475031244727677010198717806998744, 8852666374400285282790816753847, 5160, 39921847, 28303082762524206514806796183236032844847921, 126, 8852650863190120306704384000000, 121645100449116846, 25217314998371915584150095263608631, 70306747463612277892966523419770868915464550, 8222849543047373236077723648000000, 42056502722742066016880831426373575197013344, 51212942959586289967, 42184046472132118025127591936000000, 355687468380846, 13774086273145097295034580828760774778044726, 10888869450418352160768000001], 'label': '15944266600786427904000.a.2170560._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036389
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [42056511372107308109808790360448404481925430, 7, 8852698691776515239585862813790, 13774086256196060171385249598861370607780481, 10341848287333951873344934619334114487801, 28292749639765695090138181955908590885847385, 21265470074627070393230313134723375114863, 70306747480561314969298846724149745787305641, 5167, 42035245961220056280707634479387147303731321, 10341831284004956816162169531924480000000, 40284847, 56553327528575146772291881557825895871217840, 70327995541807206760054550098623231779992624, 13785009869733390461306737505495406549099190, 70306747446608949203762353660630135323912671, 70327995533053862015790489989409763732668736, 28292749639747390513352365880404986078796806, 42056511372116160534774702910737675881820847, 126, 42066835878940121704598011992032671337820846, 28303091471022564581532977510414942208000000, 42035245961229507834927659669488265990603662, 8852650863190120306704384000000, 56553327545542488038278420833630119362560006, 42066835836774379422037848270002009810539560, 70327995524822181599592924240406283659603206, 362886, 355687428096001, 13774086247424411607417308752598532096000000, 28281826017960097717545611849969502848578264, 21265470074627313016711744268038209674464, 42066835844978924760002057159653124700267006, 8222849543047373236077723648000000, 31589917720087233918447499508689932650887, 70327995558792851860610743160809316795133649, 16994476328656930584353832960000000, 42045587775537318874868291529560294065360968, 31589917738369597925320840587509760000000], 'label': '15944266600786427904000.a.2170560._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036398
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [56574575623764573359910841906903867933013344, 1307674736047, 28303091428847348982525148768889733120000000, 7, 28271501536326294367434732421679484604836791, 363000, 56553327511580681332530305268546175478422440, 70317071936483883895590815922855860985811777, 70317071928252192590575554996278763155683511, 33961218706823645747399296499769720, 13763761774543963858202475099775303680000000, 42175215599033680879909194513393847, 10341831284004956816162169531924480000000, 70327995533072155331952501939899251020847921, 56542985706017351111122223762758427492807752, 70306747488793006274365862770220105164683191, 70317071936475031244727677010198717806998744, 8852666374400285282790816753847, 5160, 39921847, 126, 8852650863190120306704384000000, 121645100449116846, 25217314998371915584150095263608631, 21265453098454915745391040338364382193847, 70306747463612277892966523419770868915464550, 8222849543047373236077723648000000, 51212942959586289967, 42184046472132118025127591936000000, 355687468380846, 13774086273145097295034580828760774778044726, 10888869450418352160768000001], 'label': '15944266600786427904000.a.2170560._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036390
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [28303082787732081219556638563915128101847385, 28292749605786193568756410926733391465820847, 70317080636768833084594400415211021762560007, 28303091445850677977556479638883351999217840, 42056511372107308109808790360448404481925430, 7, 13795343017699765732903964585606378987583071, 56574584281864877204447785836012500585820846, 8852698691776515239585862813790, 13774086256196060171385249598861370607780481, 42035254644547115742407591496316374588533063, 5167, 10341831284004956816162169531924480000000, 40284847, 70327995524822192503999487931769973447715241, 13785018570045474728517724037174085090487801, 31589917720076329511985990029356017470760, 21265470065785292862377582170226333750976, 70327995533053872920145247222121126956012943, 56564242450580872587070907663094348438850265, 70306747446608949203762353660630135323912671, 28292749639747390513352365880404986078796806, 28281834667343643435924013180932200571305641, 126, 8852650863190120306704384000000, 28303091462808567689348845485943089756267006, 362886, 25226156744828593104033939456000000, 355687428096001, 13774086247424411607417308752598532096000000, 42045587775546160621376622235268664084182695, 42035245961220045407375194908871971399132726, 8222849543047373236077723648000000, 21265470065785566560085072037438144848431, 28281826026182936356186421395394911484824631, 56564242467566495909940006103935609861571615, 42056502688807993277108181619020174038635560, 31598609799892133800608582456705024000000, 28292749622789500770537579703391748096000000], 'label': '15944266600786427904000.a.2170560._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036391
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 271320, 'diagramx': None, 'generators': [42056511372107308109808790360448404481925430, 7, 363000, 42175215599007828741525209088000000, 5167, 13774086247424411622928570008516790238193846, 40284847, 21256769753701073451769757043993585470760, 31598618041013199785783935462293149750976, 56542985680296665471333430776991048548777641, 28281834701277716529432107368163904128578270, 42045579092219700047496387015119719188182695, 10341831292857607679352289838628864000000, 56564242450580872587070907663094348438850265, 42066835853759404196474804749524043742193847, 42035254652769965300992078005408230150603662, 56553327537319649384100498015904556482560007, 8231680416171662519680106496000000, 28292749639747390513352365880404986078796806, 126, 121645100408832001, 28292749597563344025734838737743101700208047, 42066835836783221168494576881540755136266887, 28292749631542856420449049094852042021847385, 70317071928261045225901734147803772521820847, 31598618041013473483491425329504960848431, 56564242475789345452987379340013333509571615, 13774086247424411607417308752598532096000000, 56564242433595836568814057931836910279715241, 28292749597563344025734838737741794025472000, 8852683206469457590182669629111, 8222849543047373236077723648000000, 42035254652760502873439613244791935559132726, 56564242441827516969474510407828861332668742, 28303091454064674854229452589321289728000000, 70306747446608949219299364751045946148050230, 13795343017699765717366953738480768981099190, 31598609799892133800608582456705024000000, 13774086256196060186896408429959457959941166], 'label': '15944266600786427904000.a.2170560._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036392
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42531441166477931593998723373036631116800, 5041, 10341839506854499889438517822567513970265, 10386860627790863916429519241740288000000, 7, 52873272441652015285871730593292691200000, 1313901388800, 6227383680, 13763761774543963858202475099775303680000000, 10333147975227906923457444234238525479742, 10333156189224799133441485801971056640001, 42035263820174053270101352427184543210684856, 47828479090394857510656126, 39916920, 70349305999014437816720715648200736768000000, 13774094930733188672847234055449687914736305, 28271519412265327052449827105332290191728040, 10333147975227906923457444234238525445742, 13774094930733188657335967676540362707740238, 13763761782775644289885347784787190439256881, 74121333678690784690726459570913280000000, 10333147975227906923406353292066816000000, 13774094930733188657443979172927523977098470, 126, 6227020801, 10341839506854499863535405609648128000000, 10341831292857607705204428579663128309334, 10333156189224799107589469063086080000000, 51091310399136174697, 13774094922519191780662995496277429185993369, 8231680416171713610622278205440001, 70338391060014236028235303967818973184000001, 15537113273026852497019735], 'label': '15944266600786427904000.a.2170560._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036393
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28303082787732081219556638563915128101847385, 70317080636768833084594400415211021762560007, 28303091437070198525598425112648519681463806, 42056511372107308109808790360448404481925430, 7, 42035254652769954396585514314041937468533057, 363000, 70327995533053862031275796803768966188012937, 13763761774543963858202475099775303680000000, 21265470074627070393230313134723375114863, 5167, 42035245961220056280707634479387147303731321, 70317071919480565789428986800510371806193847, 10341831284004956816162169531924480000000, 40284847, 56553327503348990011952078288458874880000000, 56564242450580861713738570517042329379992630, 28292749639747390513352365880404986078796806, 126, 8852650863190120306704384000000, 56564242433622971615947387192405917696000001, 1313941305606, 355693695038640, 70327995524822181599592924240406283659603206, 25226156744828593104033939456000000, 6267305641, 70306747463603425257506582937684932201820846, 21265470074627313016711744268038209674464, 56564242475789334579603235978601816507133648, 8852683206469457590182669629111, 13795343017699776621773415003958539755583065, 8222849543047373236077723648000000, 31589917720087233918447499508689932650887, 70306747446608949219299364751045946148050230, 51091297859177820847, 42045587775537318874868291529560294065360968, 28281826017960097702008498577669348604824625, 13774086256196060186896408429959457959941166, 42056502688807993261571170528248688320266887], 'label': '15944266600786427904000.a.2170560._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036394
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42035254652760513746772052815307111463731321, 28303091437070198525598425112648519681463806, 42056511372107308109808790360448404481925430, 7, 42035254652769954396585514314041937468533057, 363000, 56564242441827527873829267640540224556012937, 13763761774543963858202475099775303680000000, 56564242433595847442146395077177542027603206, 5167, 70317071919480565789428986800510371806193847, 10341831284004956816162169531924480000000, 40284847, 31598618032171453329157262517702959114863, 56553327503348990011952078288458874880000000, 56564242450580861713738570517042329379992630, 56553327537319649384100498015904556482560007, 28292749639747390513352365880404986078796806, 126, 8852650863190120306704384000000, 56564242433622971615947387192405917696000001, 1313941305606, 355693695038640, 42066835836783221168494576881540755136266887, 28292749631542856420449049094852042021847385, 42045579092228541824975535713320436401360968, 25226156744828593104033939456000000, 6267305641, 70306747463603425257506582937684932201820846, 28281834709500555168072916913589312764824625, 56564242475789334579603235978601816507133648, 8852683206469457590182669629111, 13795343017699776621773415003958539755583065, 8222849543047373236077723648000000, 21256769753690200119330429819005964650887, 70306747446608949219299364751045946148050230, 51091297859177820847, 31598618032171695952638693651017793674464, 13774086256196060186896408429959457959941166], 'label': '15944266600786427904000.a.2170560._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036395
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28303082787732081219556638563915128101847385, 70317071953432931860926453153440462315583071, 27145951539892951940892043603207, 70317080636768833084594400415211021762560007, 28303091437070198525598425112648519681463806, 42056511372107308109808790360448404481925430, 7, 13763753099467477016681815274623228972012943, 363000, 13763761774543963858202475099775303680000000, 5167, 70317071919480565789428986800510371806193847, 10341831284004956816162169531924480000000, 13763753108229663152477860032866673083133649, 40284847, 56542985680314958819784660542436256780650886, 56553327537319649384126349776548499759114743, 28303082762514755283299848946487778556824631, 8683317629700755945936546562048000000, 56553327503348990011952078288458874880000000, 13763753133410402777805206428603414307992624, 28292749639747390513352365880404986078796806, 42056511397333464628740054803167071804533063, 126, 8852650863190120306704384000000, 42066835878958415005274714823664075441360969, 1313941305606, 13774094939504837236789164246199315623941166, 355693695038640, 42066835836783221168494576881540755136266887, 25226156744828593104033939456000000, 6267305641, 8683326460606223514557432423181629111, 70306747463603425257506582937684932201820846, 8222849543047373236077723648000000, 56553327537319649626749831207681814593674470, 51091297859177820847, 56542994355382615061852835587817204516050230, 42056511397315171328063403184125541415731320], 'label': '15944266600786427904000.a.2170560._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036396
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [70317071953432931860926453153440462315583071, 28303091437070198525598425112648519681463806, 42056511372107308109808790360448404481925430, 7, 363000, 56564242441827527873829267640540224556012937, 13763761774543963858202475099775303680000000, 21265470074627070393230313134723375114863, 5167, 42035245961220056280707634479387147303731321, 70317071919480565789428986800510371806193847, 13763753108229663152477860032866673083133649, 10341831284004956816162169531924480000000, 40284847, 8683317629700755945936546562048000000, 28271492853026980147845263143610408229847385, 56553327503348990011952078288458874880000000, 13763753133410402777805206428603414307992624, 28292749639747390513352365880404986078796806, 42056511397333464628740054803167071804533063, 126, 8852650863190120306704384000000, 1313941305606, 13774094939504837236789164246199315623941166, 355693695038640, 70327995524822181599592924240406283659603206, 25226156744828593104033939456000000, 42035245927258837573883988738016416444170887, 6267305641, 8683326460606223514557432423181629111, 70306747463603425257506582937684932201820846, 28281834709500555168072916913589312764824625, 21265470074627313016711744268038209674464, 8222849543047373236077723648000000, 31589917720087233918447499508689932650887, 42045587775537318874868291529560294065360968, 56542994355382615061852835587817204516050230, 51091297859177820847, 31598609818174561119122386102740418560006], 'label': '15944266600786427904000.a.2170560._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036399
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28303082787732081219556638563915128101847385, 70317080636768833084594400415211021762560007, 42056511372107308109808790360448404481925430, 7, 8852698691776515239585862813790, 13774086256196060171385249598861370607780481, 10341848287333951873344934619334114487801, 70306747480561314969298846724149745787305641, 5167, 10341831284004956816162169531924480000000, 40284847, 56564242433595836553276944658825381259603207, 56553327528575146772291881557825895871217840, 70327995541807206760054550098623231779992624, 28281834701277716529432107368163904128578270, 13785009869733390461306737505495406549099190, 70306747446608949203762353660630135323912671, 31598618041013215322896964472246575114743, 31598618041013457946378395605561409674470, 28292749639747390513352365880404986078796806, 42056511372116160534774702910737675881820847, 42066835878940121704598011992032671337820846, 126, 28303091471022564581532977510414942208000000, 42035245961229507834927659669488265990603662, 8852650863190120306704384000000, 362886, 355687428096001, 13774086247424411607417308752598532096000000, 42066835844978924760002057159653124700267006, 8222849543047373236077723648000000, 42035254644537675092594129997581548583731320, 56564242441827516969474510407828861332668742, 21256769753701088988780848171166732650886, 70327995558792851860610743160809316795133649, 16994476328656930584353832960000000, 42056502688807993277108181619020174038635560, 42045579092219700062981796011365892785360969, 31589917738369597925320840587509760000000], 'label': '15944266600786427904000.a.2170560._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036400
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42066835844997207171809258481635984779603206, 28303082787732081219556638563915128101847385, 70317080636768833084594400415211021762560007, 13763761808505182565026171938473760725099190, 7, 42056511372107308109808790360448404481925430, 13774094939513678983245893100316886911140481, 10341848287333951873344934619334114487801, 28303082745556865233334999013607436692668742, 70306747480561314969298846724149745787305641, 8683326471510578272033433987142813784, 5167, 10341831284004956816162169531924480000000, 40284847, 56553327528575146772291881557825895871217840, 42202350919838865857255206977674464, 8683317618811886495518194401280000001, 56553327537319660272969948178518770353360968, 28292749639747390513352365880404986078796806, 42056511372116160534774702910737675881820847, 28303082762524206514806794000026558907133648, 126, 56542994355382604157446374079049232923912665, 42066835878940121704598011992032671337820846, 28303091471022564581532977510414942208000000, 8852650863190120306704384000000, 42066835836774379422037848270002009810539560, 10341831302309194162694491713285132650887, 362886, 355687428096001, 13774086247424411607417308752598532096000000, 56542985689059461399329959976294935302603662, 42066835844978924760002057159653124700267006, 8222849543047373236077723648000000, 56542985689041178971985645502591433767731321, 28303082779482096597086767159685576483992630, 16994476328656930584353832960000000, 70317080611551529313342077554529995392578270, 42202350677215384426121892143114863], 'label': '15944266600786427904000.a.2170560._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036401
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13763761808505182565026171938473760725099190, 7, 42056511372107308109808790360448404481925430, 13774094939513678983245893100316886911140481, 56574575589785072256791046733980055250539560, 10341848287333951873344934619334114487801, 70338328698014724876590898033883602213847385, 21265470074627070393230313134723375114863, 70306747480561314969298846724149745787305641, 8683326471510578272033433987142813784, 42035245961220056280707634479387147303731321, 5167, 10341831284004956816162169531924480000000, 40284847, 56553327528575146772291881557825895871217840, 28281834701277716529432107368163904128578270, 8683317618811886495518194401280000001, 42045579100442549606029169503181563330560007, 28292749639747390513352365880404986078796806, 28303082762524206514806794000026558907133648, 42056511372116160534774702910737675881820847, 126, 56542994355382604157446374079049232923912665, 42066835878940121704598011992032671337820846, 28303091471022564581532977510414942208000000, 8852650863190120306704384000000, 70327995524822181599592924240406283659603206, 362886, 355687428096001, 13774086247424411607417308752598532096000000, 56542985689059461399329959976294935302603662, 21265470074627313016711744268038209674464, 42066835844978924760002057159653124700267006, 8222849543047373236077723648000000, 28303082779482096597086767159685576483992630, 31589917720087233918447499508689932650887, 56564242441827516969474510407828861332668742, 16994476328656930584353832960000000, 42045587775537318874868291529560294065360968], 'label': '15944266600786427904000.a.2170560._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036402
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28292749605786193568756410926733391465820847, 28303091445850677977556479638883351999217840, 42056511372107308109808790360448404481925430, 7, 13774094939513678983245893100316886911140481, 42066835878940121689112653965440576517571615, 56564242441827527873829267640540224556012937, 42066835844987755988076840483198958230850265, 8683326471510578272033433987142813784, 5167, 10341831284004956816162169531924480000000, 40284847, 70327995524822192503999487931769973447715241, 56542994397566650339154529662248963644533057, 13774086281376777678914826318472889826487801, 31589917720076329511985990029356017470760, 70317071928252192575038492936199215227305641, 8683317618811886495518194401280000001, 21265470065785292862377582170226333750976, 56564242450599154659464677132873184978539560, 28292749639747390513352365880404986078796806, 70327995558774558931662544202311785765847385, 126, 56542994355382604157446374079049232923912665, 8852650863190120306704384000000, 13774094930733199561716577047260427755583065, 28303091462808567689348845485943089756267006, 362886, 25226156744828593104033939456000000, 355687428096001, 13774086247424411607417308752598532096000000, 42045587775546160621376622235268664084182695, 42035245961220045407375194908871971399132726, 28281834709500555168072916913589312764824625, 28281826017960086505963081308571133378560007, 8222849543047373236077723648000000, 21265470065785566560085072037438144848431, 42056511380338988315594385353442063977820846, 28292749622789500770537579703391748096000000], 'label': '15944266600786427904000.a.2170560._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036403
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [1307674736047, 28271492878226001427278392740656872908683185, 13774086273145097295034580828760774778044726, 126, 33961218706823645747399296499769720, 56574575615541734705732919089178305053013350, 121645100449116846, 28281834667343643451461075241011748499683511, 8852650863190120306704384000000, 42035254652778796158605106154380452708807752, 25226156760365655286104638879608625, 42045579092210259413194136207467381238422441, 10333164960862473586648448278628318193846, 51212942959586289967, 42184046472132118025127591936000000, 31598609799892133800608582456705024000000, 10341831284004956816162169531924480000000, 28303091428847348982525148768889733120000000, 8222849543047373236077723648000000, 8852666374400285282790816753847, 7, 355687468380846, 28271492836050785828352672387501642931464550, 70306738763300182752315136912112422588836791, 5160, 28281834675566471216743695628928673503443777, 13763761774543963858202475099775303680000000, 28303082762524206514806796183236032844847921, 39921847, 42175215599033680879909194513393847, 70317071936483873006721416712153261462915544, 363000], 'label': '15944266600786427904000.a.2170560._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036404
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28292749605786193568756410926733391465820847, 31598618032171711489751723374961344848425, 28303091445850677977556479638883351999217840, 42056511372107308109808790360448404481925430, 7, 42045579092228541809490126717074262804182694, 31598618032171437792044233507749533751096, 13795343017699765732903964585606378987583071, 56574584281864877204447785836012500585820846, 8852698691776515239585862813790, 56564242441827527873829267640540224556012937, 13774086256196060171385249598861370607780481, 28292749639765695090138181955908590885847385, 42035254644547115742407591496316374588533063, 5167, 10341831284004956816162169531924480000000, 40284847, 21256769753690184582319338691832817470761, 13785018570045474728517724037174085090487801, 56564242450580872587070907663094348438850265, 70306747446608949203762353660630135323912671, 28292749639747390513352365880404986078796806, 28281834667343643435924013180932200571305641, 126, 8852650863190120306704384000000, 56564242433595847457683508350189071047715240, 56553327545542488038278420833630119362560006, 42066835836774379422037848270002009810539560, 28303091462808567689348845485943089756267006, 362886, 25226156744828593104033939456000000, 355687428096001, 13774086247424411607417308752598532096000000, 42035254644537664219261690427066372679132727, 28281834709500555168072916913589312764824625, 8222849543047373236077723648000000, 56564242467566495909940006103935609861571615, 31598609799892133800608582456705024000000, 28292749622789500770537579703391748096000000], 'label': '15944266600786427904000.a.2170560._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036405
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28303091437070198525598425112648519681463806, 42056511372107308109808790360448404481925430, 7, 363000, 70327995533053862031275796803768966188012937, 13763761774543963858202475099775303680000000, 21265470074627070393230313134723375114863, 5167, 42035245961220056280707634479387147303731321, 70317071919480565789428986800510371806193847, 10341831284004956816162169531924480000000, 40284847, 13785009869733379587974297934268855787583065, 56553327503348990011952078288458874880000000, 70327995541807217648924000516975392547992630, 56553327537319649384100498015904556482560007, 28292749639747390513352365880404986078796806, 126, 56564251116940601316703333128952479744000001, 8852650863190120306704384000000, 1313941305606, 355693695038640, 42066835836783221168494576881540755136266887, 28292749631542856420449049094852042021847385, 70327995524822181599592924240406283659603206, 25226156744828593104033939456000000, 6267305641, 70306747463603425257506582937684932201820846, 21265470074627313016711744268038209674464, 8852683206469457590182669629111, 8222849543047373236077723648000000, 31589917720087233918447499508689932650887, 42035245961229496930521095978121973308533057, 70306747446608949219299364751045946148050230, 70327995558792840971741292742457156027133648, 42045587775537318874868291529560294065360968, 51091297859177820847, 28281826017960097702008498577669348604824625, 13774086256196060186896408429959457959941166], 'label': '15944266600786427904000.a.2170560._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036406
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [28303082787732081219556638563915128101847385, 42035254652760513746772052815307111463731321, 70317080636768833084594400415211021762560007, 28303091437070198525598425112648519681463806, 42056511372107308109808790360448404481925430, 7, 363000, 56564242441827527873829267640540224556012937, 13763761774543963858202475099775303680000000, 56564242433595847442146395077177542027603206, 5167, 70317071919480565789428986800510371806193847, 10341831284004956816162169531924480000000, 40284847, 31598618032171453329157262517702959114863, 13785009869733379587974297934268855787583065, 56553327503348990011952078288458874880000000, 70327995541807217648924000516975392547992630, 28292749639747390513352365880404986078796806, 126, 56564251116940601316703333128952479744000001, 8852650863190120306704384000000, 1313941305606, 355693695038640, 42045579092228541824975535713320436401360968, 25226156744828593104033939456000000, 6267305641, 70306747463603425257506582937684932201820846, 28281834709500555168072916913589312764824625, 8852683206469457590182669629111, 8222849543047373236077723648000000, 21256769753690200119330429819005964650887, 42035245961229496930521095978121973308533057, 70306747446608949219299364751045946148050230, 51091297859177820847, 70327995558792840971741292742457156027133648, 31598618032171695952638693651017793674464, 13774086256196060186896408429959457959941166, 42056502688807993261571170528248688320266887], 'label': '15944266600786427904000.a.2170560._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036407
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [70317080628545994414931068601953287944361640, 33952366055960455627448273276928000, 28292749614548379720063614516074929196012943, 42056511372107308109808790360448404481925430, 7, 13774094939513678983245893100316886911140481, 56553327545542499234323838102728334588824631, 8683326471510578272033433987142813784, 5167, 10341856510161701670607411949849321472000, 40284847, 13763761782775644274374137619455410176000000, 8691558761655610571707904310941751096, 8683317618811886495518194401280000001, 8691558761929308279197771522752848425, 17003328979546023812342907971390647, 10341831292857607679352289838628864000000, 10333164942569205173262385133202417470761, 8231680416171662519680106496000000, 28292749639747390513352365880404986078796806, 70317080594602481009833802960360557332182694, 121645100408832001, 56542994355382604157446374079049232923912665, 126, 13763761774552816509091517358465999716777641, 70306738805466545715996837715047213830603656, 42066835836783221168494576881540755136266887, 362886, 56542985697282310942377281999785379298487801, 28292749639738559640228025505860411835133649, 28292749597563344396196645002900567843992624, 42056502713988721658589680442755803847715240, 8222849543047373236077723648000000, 13763753099458025462487693314205276117099184, 10341831292857607705204306934515170487800, 16994476328656930584353832960000000, 28303082779509242580864124985011936978435510, 70306738797261989473626116098010993223132727, 70317071928252192575038492936199208960000000], 'label': '15944266600786427904000.a.2170560._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036408
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27132, 'diagramx': None, 'generators': [51090942171709802880, 13763806778167064141025210719991759840234937, 15511261134273157693440000, 13763753091226345061827240837856155605104350, 5041, 13774086239192742080140948668010785285969343, 7, 155163784498358560136778738093866370162817216, 25852016738884977002880, 141410373230202223155284800482149010470083783, 126892282469704675561595506071954395763953296, 13774086239192731191245646232918431870538015, 141431567654896618891737433496457254551638336, 355687428458880, 13774094939504826331789123426764525204919990, 122000787876849847, 8683317629700755945936546562048000000, 10359749388779907665217085774738799291646, 10341839515685372987824689212030976000000, 10341873468051444485342254729387378287774, 10888869501630939432886272006, 39921847, 63806095585399174438989235908167560638863, 10386843642156312790351909855281492106183, 8231680416171662519680106496000000, 121, 42120326669067465289798829804690395261386943, 6227020801, 13763806812110577530611214849214276215339657, 56606764648216301205169626464216780238676416, 8852650863190120306704384000000, 13806311100402807942966566463796027162704409, 362881, 1307674368001, 13774094930742041308173254689145094144000000, 74139243560637970231257885517701313048750, 126849768904467756950794461291866150086421057, 155163784490135721482682975661956568792890937, 13774094939504826331814924473852039816482790, 13774086239201572968776499086242007030453334], 'label': '15944266600786427904000.a.54264._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '54264.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54264._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036409
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [13774086247415580734293019468996149248000000, 141389080699844889940594190836291136888832001, 53720884243373164685685629779968000000, 5041, 7, 141421243190256693305150939879030217732096001, 155216613285243082160606811768540364839916801, 126892255851342075595595716451666936147293150, 113138835916304944475029034751184991723980223, 10341831292857607679403502801170170799654, 70349306007246118232892378167880843264000000, 42120308784375099119821659785541759549945295, 47828479090394857510656126, 42540116252427216178282139883798528000000, 13763761782775644289885398875729361933423768, 155216613293474762576886536875213725433994471, 8683317629700755945936546562048000000, 13774094930733188672847234055449687914736305, 141452868877334355926203230936739695535145641, 10341831292857607679352289838628864000000, 8231680416171662519680106496000000, 121, 6227020801, 42035290404620263973834204577972873832547767, 13763806803896580638427031733444503669085392, 362881, 1307674368001, 126849760238144614467564845145438289920000001, 56585507886667145517482445058110057832166521, 42540116252427216204185369566991051060400, 155216613285243082176143925041198888928428152, 56564296129281047370925239398980583463916800, 70380904583075939009032054233611261155034183, 13837874424905046719876207550446148157440001, 56574575606770097031253804017653702040556800, 141378720958687790480174862694222692054309137], 'label': '15944266600786427904000.a.2170560._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036410
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [6227020920, 155142491959787240918989310561786060144640001, 7, 13837910236437238865972531712475203019852800, 1307674368120, 363000, 155195329421226574953349212875515232256000000, 126849760238144625356434295563790450688000000, 56595841034633542551281562127799741800166521, 13827541268715821920768618081383062077440001, 74121325464693892506543343799894016000000, 13774094922519191765125881453067370496000000, 62404210703947044920905778724864000000, 47828479090394857510656126, 126860102069437461186374798229887299322799654, 126849768929693913695731065770306051833994471, 113096348986425123936649570456078333802736305, 40279680, 141421270275774996859411571763039656964458880, 10333147975227906923406353292066816000000, 8691549310116927608456226668544000000, 5160, 8231680416171662519680106496000000, 121, 126892255851333233833601976749712392531293144, 141452860202239575784005868277343549408428152, 155216621976783539626697133336046160815145641, 13763753099458036366868353775887121421428809, 42035290396388572668793091639940606568547766, 42540116252427216204185369566991051060400, 42120326660304669344969318851485460597085392, 70380904583075939009032054233611261155034183, 56595841034633542566792718647656251392000001, 113128502768338558330099368099847468523975183, 42035290396388572684304352005175672534309137, 155216621976783539626697134358929263248966095], 'label': '15944266600786427904000.a.2170560._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036411
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [155206244325762198282437699929783070072832001, 5041, 10341839506854499889438517822567513970265, 7, 13774094922510360907538761656076285802736305, 52864589124022314555777689139207536640001, 47828479090394857510656126, 10333156198077449970830680311962173445742, 8683317629700755945936546562048000000, 51090942171709440001, 13774094930733188657335967676540362707740238, 13763761782775644289885347784787190439256881, 74121333678690784690726459570913280000000, 10333147975227906923406353292066816000000, 28271528655787523343353466173492558350505662, 8231680416171662519680106496000000, 121, 13774094930733188657443979172927523977098470, 6227020801, 362881, 1307674368001, 42035281747005026644453664795008852623728041, 10341831292857607705204428579663128309334, 13763753091226355935185429999933063168000000, 13827549960265110275468484774939323768832000, 355687428096001, 155216586157037350588390671857363189760000000, 10333156198077449970830680311962173479742, 51091310399136174697, 8222849543047373236077723648000000, 39916801, 13774094922519191780662995496277429185993369, 15537113273026852497019735], 'label': '15944266600786427904000.a.2170560._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036412
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [155206244325762198282437699929783070072832001, 5041, 10341839506854499889438517822567513970265, 7, 28271528655787534232222916591844719118505656, 13774094922510360907538761656076285802736305, 42035281747005037533323115213361013391728040, 52864589124022314555777689139207536640001, 47828479090394857510656126, 10333156198077449970830680311962173445742, 8683317629700755945936546562048000000, 51090942171709440001, 13774094930733188657335967676540362707740238, 13763761782775644289885347784787190439256881, 74121333678690784690726459570913280000000, 10333147975227906923406353292066816000000, 8231680416171662519680106496000000, 121, 13774094930733188657443979172927523977098470, 6227020801, 362881, 1307674368001, 10341831292857607705204428579663128309334, 13763753091226355935185429999933063168000000, 13827549960265110275468484774939323768832000, 355687428096001, 155216586157037350588390671857363189760000000, 10333156198077449970830680311962173479742, 51091310399136174697, 8222849543047373236077723648000000, 39916801, 13774094922519191780662995496277429185993369, 15537113273026852497019735], 'label': '15944266600786427904000.a.2170560._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036413
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [42531441166477931593998723373036631116800, 5041, 10341839506854499889438517822567513970265, 7, 52873272441652015285871730593292691200000, 1313901388800, 6227383680, 13763761774543963858202475099775303680000000, 10333147975227906923457444234238525479742, 10333156189224799133441485801971056640001, 42035263820174053270101352427184543210684856, 47828479090394857510656126, 39916920, 70349305999014437816720715648200736768000000, 13774094930733188672847234055449687914736305, 28271519412265327052449827105332290191728040, 10333147975227906923457444234238525445742, 13774094930733188657335967676540362707740238, 13763761782775644289885347784787190439256881, 74121333678690784690726459570913280000000, 10333147975227906923406353292066816000000, 13774094930733188657443979172927523977098470, 126, 6227020801, 10386868850618629224901918615142400000000, 10341839506854499863535405609648128000000, 10341831292857607705204428579663128309334, 10333156189224799107589469063086080000000, 51091310399136174697, 13774094922519191780662995496277429185993369, 8231680416171713610622278205440001, 70338391060014236028235303967818973184000001, 15537113273026852497019735], 'label': '15944266600786427904000.a.2170560._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036414
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2170560, 'diagramx': None, 'generators': [8231691320578226211046411712681647, 28303091454055212426702891179677574075500800, 42056511372107308109808790360448404481925430, 7, 17003318106161880329639362560005471, 363000, 56564242441827527873829267640540224556012937, 6227383680, 13763761774543963858202475099775303680000000, 28303082787723239473048308100782956242435510, 70317080636768843957978441838031011592361640, 5167, 10341831284004956816162169531924480000000, 121645100408837047, 51091297859137903920, 56564242458803700352379380062467750550850265, 42045587783760168417915664765638017713360968, 42066844520073694028841179441768494697469654, 31598618022719899109080981830107136000000, 42066835836756075216954632832276234240000000, 21265470065796197268941029532340527114863, 21265470065796439892422460665655361674464, 56542994363614295478024498107497311012050230, 8683317618859715081913127282758813784, 31598601064841060675006601089423249539217, 28292749639747390513352365880404986078796806, 13774094947727675875430076216087906175140481, 126, 31589909497237690871074263430966284650887, 355687428096001, 25852016738884976640127, 70327995533053872920171150451450079943715241, 28281834709500544294740579767537306240578270, 10333164969704235580388150233171934193847, 39916801, 42184046472132118025127591936000000, 1307674735921, 42066835836774368517631386761234050752266887, 15537113273014144448681646], 'label': '15944266600786427904000.a.2170560._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2170560.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2170560._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036415
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1116288, 'diagramx': None, 'generators': [56564242458803710886298285471222394272754423, 98620763023505275770639936240898964868476143, 113085971352361661430850007749268805373852920, 13774094930742053051400205385111442294895920, 5041, 70338337373082380617903153663821654080933047, 98642001892139215777646714336119564053887694, 13774094930742041308199106705890946718210559, 13774094930742063892575040348215194409557471, 13774094930742030419303804270792933376000001, 7, 63814778903176061120558526896211215139247, 70338337373082380473284616719394026894109025, 126913539206045516925303268706616100553277671, 28271528638802509442842528826328022440055271, 10904406563691364997542313646, 28271528638802509442274852126218073969424680, 28292776198976906900160905894821078418001336, 457626692045480527163809, 113160110587681766561590458300570625999576320, 51090942171709440001, 98620763023505275770639885028310384640000000, 28292776198976896010913684058826342400000000, 121, 10904406563691366305216681647, 6227020801, 25852016738884976640001, 121645100408832001, 28292776198976906899808986615566592200096592, 362881, 15511210043330985984000001, 63814778903028875708124615061649129183575, 355687428096001, 56564242458803710886514200794220936917831391, 13837892326564133473499915321943537338013775, 70349296755473316669445500785783099464005832, 39916801, 70338337373082380506033609228818703742853121], 'label': '15944266600786427904000.a.2232576._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2232576.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2232576._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036416
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1116288, 'diagramx': None, 'generators': [10904406563691366298990104376, 126860057591554381717689140990452432896000000, 5041, 22632096401114318508918895921, 7, 25853043740973805848247, 84857009924056092070145982629003919360000000, 15511210164977394109548222, 15511261256273952235192734, 236812719263225383387374422689, 11050348106096573521768813576, 15511210165348531779012175, 53009380626866104456, 10888895353526390212556555663, 126923863678916953126819069704932963203241646, 10904406512600068439852120376, 121, 10888895302558999951695286750, 6227020801, 121645100408832001, 25852016738884976640001, 15537062060425605330046672, 84857009924056102974552546320370224576681647, 10888869450539997321531028150, 1307674368001, 96869863686677910142026382, 362881, 15511210043330985984000001, 70317098495695096092501385584980379636828857, 355687428096001, 15537062182071973048502977, 33473271236077422261033557465, 39916801, 70317098495695118676823208674540284872448121, 10904974240150489055249923608], 'label': '15944266600786427904000.a.2232576._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2232576.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2232576._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036417
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1116288, 'diagramx': None, 'generators': [10904406563691366298990104376, 126860057591554381717689140990452432896000000, 5041, 22632096401114318508918895921, 7, 56543003564970771781506883807656438728448120, 25853043740973805848247, 84857009924056092070145982629003919360000000, 15511210164977394109548222, 15511261256273952235192734, 236812719263225383387374422689, 11050348106096573521768813576, 15511210165348531779012175, 53009380626866104456, 10888895353526390212556555663, 126923863678916953126819069704932963203241646, 10904406512600068439852120376, 121, 10888895302558999951695286750, 6227020801, 121645100408832001, 25852016738884976640001, 15537062060425605330046672, 84857009924056102974552546320370224576681647, 10888869450539997321531028150, 1307674368001, 96869863686677910142026382, 362881, 15511210043330985984000001, 56543003564970749197185060718096533492828863, 355687428096001, 15537062182071973048502977, 33473271236077422261033557465, 39916801, 10904974240150489055249923608], 'label': '15944266600786427904000.a.2232576._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2232576.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2232576._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036418
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '2267460.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': 2267460, 'diagramx': None, 'generators': [13763761774543974762583186774402717653559087, 8231680431682872685412222757098464, 5046, 7, 363000, 13774094930733199546179514987196149706323320, 51090942171709803006, 15537062060069870960640000, 8841762019591718693428592640000, 13774086247415580734293070681591844260224849, 13763753091226345046341831598319787376640000, 8222838654203774834464447856640000, 13763753091226345061853148945434081401836807, 10333147975227922434616518623860451345407, 13774094930742041323710316749214965104640000, 13774094930742041308173305902089361404658416, 10888895302435091045744640000, 13763761774543974762609038791141602669690383, 126, 6227020801, 121645100408832001, 25852016738884976640006, 70359585442560562118651012389826001310121526, 56670597838063941922094532125813077079479686, 10333147966386160440928932752897965570566, 155227572718580882503664527963812171777100800, 1307674368006, 10341831284015861196823144174933020958782, 169735330356302257361075032643123076465008040, 355687428096001, 10333156198066576638391231087500657042895, 13774086239201583842108887444168615682726406, 13763761782775655163269440176559723794243120, 13763761774552805635733276861808168321422761, 141474170668217857693271299659286606228300920, 39916806, 8683317618811912347534933286256640000], 'label': '15944266600786427904000.a.2267460.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2267460.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2267460.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036419
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27132, 'diagramx': None, 'generators': [51090942171709802880, 15511261134273157693440000, 8852650863241215380369618608865, 10341831292857607679352412609395397790016, 5041, 7, 70380868814248858420389825485743636228203007, 25852016738884977002880, 13763753099458036366894262005867478942935264, 8691540457466064469548522512595680761, 355687428458880, 13763761782775644274374139674261615051350814, 8222849558584436325815227229742310, 122000787876849847, 8683317629700755945936546562048000000, 10341839515685372987824689212030976000000, 13763753091235186824008745131797691546659062, 10333147966397049336230342702520742336561, 13763753099458036366894154701701894135094918, 84888626409767860031800337860622734298097966, 10333147966397049336230342702520742348488, 39921847, 8231680416171662519680106496000000, 121, 6227020801, 13774094930742041308173254811147189657750456, 13763753099458036351357094696400628035421422, 8852650863190120306704384000000, 13774086239192731206782710466782434439887942, 13774094930733188672821274612169416020857726, 1307674368001, 362881, 13774094930742041308173254689145094144000000, 28281834675548188837225663330168954564670641, 13763753091226355950696640043621044254832502, 8222849575364642282784606339497640], 'label': '15944266600786427904000.a.54264._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '54264.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54264._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036420
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [8231691305066964955126839711457937, 137909545138861327843836874211832493824006, 8683326460573880235220148944896000000, 7, 10333156189235688002942995461735163905342, 15537062060069870960640000, 10341839506843626505296568282400546729527, 10341831292857623190562333537782311971327, 8841777504949745285529600000000, 10904406512478777719197027337, 356995102464000, 10904406512478777719197021151, 10333147966386144955518668076408176640000, 122000794063948801, 10888895302435091045744640000, 52873289444970121473655167912404302828807, 5160, 121, 10341839506843610994243503983761135036726, 25852016738884976640001, 6227020801, 8231691305041112938032267264023345, 10333147966386160440876816670645232626417, 10341831292857607679403502427215233234791, 362881, 1307674368001, 8222849543047373236077723648000000, 39916801, 51090942177936460800, 8683317618811886495640951212758531630], 'label': '15944266600786427904000.a.2418624._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2418624.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2418624._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036423
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [13795343008946432232434206147521020436905521, 8231680416171662641680894420825600, 10341831292846734321163127404726201877449, 5041, 8683326460573880235220148944896000000, 7, 15537062060069870960640000, 10333147966397049336286433542869157303687, 122758119152899625, 355693655116800, 31589934751195317061219883622909023671680, 8841777504949745285529600000000, 39916920, 121646414310220801, 8231680431708724580105664925039423, 10333147966397049336179130115242357099463, 98164805494406137852821413813895916800, 10333147975227906923406353292066816000000, 121, 10333156198077449970779589369790503956416, 10333156189235688002892026154966212644255, 6227020801, 10904380660461683146752000000, 362881, 1307674368001, 10341831292846718835804979167557922273847, 8231691305067016167365325071235246, 51091299173038924800, 10341831284004956816213382474911328613176, 8222849543047373236077723648000000, 10341831292846734321164664741658298532600, 10333147966397049336179130115242572032848, 10341839515685372987875780172268494045095], 'label': '15944266600786427904000.a.2418624._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2418624.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2418624._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036424
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [8231680416171662641680894420825600, 10341831292846734321163127404726201877449, 5041, 8683326460573880235220148944896000000, 7, 15537062060069870960640000, 10333147966397049336286433542869157303687, 122758119152899625, 355693655116800, 31589934751195317061219883622909023671680, 8841777504949745285529600000000, 39916920, 121646414310220801, 8231680431708724580105664925039423, 10333147966397049336179130115242357099463, 98164805494406137852821413813895916800, 10333147975227906923406353292066816000000, 121, 10333156198077449970779589369790503956416, 10333156189235688002892026154966212644255, 6227020801, 10904380660461683146752000000, 362881, 1307674368001, 10341831292846718835804979167557922273847, 8231691305067016167365325071235246, 13795351692264051044320701665715421676983680, 51091299173038924800, 10341831284004956816213382474911328613176, 8222849543047373236077723648000000, 10341831292846734321164664741658298532600, 10333147966397049336179130115242572032848, 10341839515685372987875780172268494045095], 'label': '15944266600786427904000.a.2418624._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2418624.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2418624._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036425
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [8683326471478260946773129997248730921, 10333147975227906923457444599643282030415, 5041, 8683326460573880235220148944896000000, 7, 10341839506843611019988216939331926185097, 1313901388800, 15537062060069870960640000, 10333156198077449970779589371104405708097, 8841777504949745285529600000000, 122401124090357465, 39916920, 121646414310220801, 10333156198077449970780223960817199338584, 42558000441456992168579867381594598583687, 10333147966397049336179130116556258136728, 51090942171709440001, 10333147966397049336179130116556258125224, 10333147966386160440876694668509184000000, 357001329484801, 10333147966397049336286433544170604288127, 8231680416171662519680106496000000, 121, 137900310351072858892753348719553481911687, 6227020801, 10904380660461683146752000000, 362881, 31589917720087186118226565941419483889960, 10341831284004972353275320900962382782662, 10333147975238811304066936620367975818838], 'label': '15944266600786427904000.a.2418624._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2418624.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2418624._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036426
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 604656, 'diagramx': None, 'generators': [8683326471478260946773129997248730921, 10333147975227906923457444599643282030415, 31598601037705998004722084134519276983681, 5041, 8683326460573880235220148944896000000, 7, 10341839506843611019988216939331926185097, 1313901388800, 15537062060069870960640000, 10333156198077449970779589371104405708097, 8841777504949745285529600000000, 122401124090357465, 39916920, 121646414310220801, 10333156198077449970780223960817199338584, 42558000441456992168579867381594598583687, 10333147966397049336179130116556258136728, 51090942171709440001, 10333147966397049336179130116556258125224, 10333147966386160440876694668509184000000, 357001329484801, 10333147966397049336286433544170604288127, 8231680416171662519680106496000000, 121, 137900310351072858892753348719553481911687, 6227020801, 10904380660461683146752000000, 362881, 10341831284004972353275320900962382782662, 10333147975238811304066936620367975818838], 'label': '15944266600786427904000.a.2418624._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2418624.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2418624._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036427
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [15511210165333087762238767, 42035272503482220560111102092914383615554150, 42035263828378587719221911829594767360000000, 7, 6227025966, 51212587272118639920, 42045587766783985374450028017025096496215686, 126, 40284847, 13774086239192731191245646232918425600000000, 10888895353526388911109201847, 121646408123479801, 1313941673640, 5167, 8231691320578226211046411712681647, 367920, 13774112815416103304060510970294593793004927, 8852666400303393320848832681646, 8691540457466064418335919964160000000, 25852017094578632124726, 356995142748721, 10341831284004956816162169531924480000000], 'label': '15944266600786427904000.a.2441880._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036428
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 406980, 'diagramx': None, 'generators': [13774094930733188672847177725481472382155848, 10333147975227906923406353292066816000000, 28271528664001520220052291397121318200407807, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 28281879696669114667359652034689401672914350, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 42035299648151911835684122775253940710225863, 122000787836928000, 13763788919204225390231230582804831451109832, 42035299639920242308407813659961945072756049, 28271492844255331229520458901591960561828486, 8222849543047373236433411116012800, 355687428101040, 355687428096001, 355687428096120, 42045614894971412757120014681248359828720289, 42045623578289042473361318641001715391934640, 8841761993739702310231044096000, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 44503072660501056146993280609226867495, 53720884243373164685685629779968000000, 28281843885136922134023511896313258491103025, 28281870495294377827705791414144347581176528, 13774104140330785526155625688545638772736000, 28281870495285525177004564706179980941760126, 28281843885136933022892962192664631379021094, 356995102464000, 28271501527581802660006776681429133717157040, 13774130742256539041438552136959329183050648, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 13774139951862966799001773868016151737864551, 42045596968149281177158621914770505112396926, 13774104132107935983082400435373342720000000, 42035263828396881035435727933883314707676726, 13763779667459168650065081440978262816977406, 42045632796109467446900786046440478162781135], 'label': '15944266600786427904000.a.2441880._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036429
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [28271492844264172991514198603902191605924486, 10333147975227906923406353292066816000000, 28271528655805827517414312366535460814963495, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 28281861811967906365143921204724464638400126, 8691549310116927608456226668544000000, 42045587766765681200389232672006597818608289, 10333156207518115295502466024956411103025, 13774086239219877158430612484482203032396926, 28271537347319139031938787036960819889239807, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 28281861811976759015819295896305633729272528, 122000787836928000, 8222849543047373236433411116012800, 42045614894989706057796717509502805914954648, 355687428101040, 10333156207518115295502344379855959117094, 355687428096001, 355687428096120, 13774112823657246115521218934930997287916800, 53720884243373164685685629779968000000, 13774122058957213530228759453414974868720289, 28271510728929404018728009430288302080000000, 13774104140330785526155625688545638772736000, 42045605659662592691575187155769774462155848, 10351049104429590944345720633289961003735, 356995102464000, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 42045632796100004680070951913219412149768551, 355687428096006, 8231680416171662519680106496000000, 13763806803878287353261539066790499818321863, 10386860618328839114991143595836232914350, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 42035263828396881035435727933883314707676726, 13763806803869456480163152768868379632756049, 13763779667459168650065081440978262816977406, 42045632796109467446900786046440478162781135, 26584446221623598869992790485397157040], 'label': '15944266600786427904000.a.2441880._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036430
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 27132, 'diagramx': None, 'generators': [51090942171709802880, 15511261134273157693440000, 8852650863241215380369618608865, 10341831292857607679352412609395397790016, 5041, 7, 70380868814248858420389825485743636228203007, 25852016738884977002880, 13763753099458036366894262005867478942935264, 8691540457466064469548522512595680761, 355687428458880, 13763761782775644274374139674261615051350814, 8222849558584436325815227229742310, 122000787876849847, 8683317629700755945936546562048000000, 10341839515685372987824689212030976000000, 13763753091235186824008745131797691546659062, 10333147966397049336230342702520742336561, 13763753099458036366894154701701894135094918, 84888626409767860031800337860622734298097966, 10333147966397049336230342702520742348488, 39921847, 8231680416171662519680106496000000, 121, 6227020801, 13774094930742041308173254811147189657750456, 13763753099458036351357094696400628035421422, 8852650863190120306704384000000, 13774086239192731206782710466782434439887942, 13774094930733188672821274612169416020857726, 1307674368001, 362881, 13774094930742041308173254689145094144000000, 13763753091226355950696640043621044254832502, 28281834675548177948356161699229521678398647, 8222849575364642282784606339497640], 'label': '15944266600786427904000.a.54264._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '54264.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '54264._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036431
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [53720893085135158425388348709195270401, 44503072649612160793467246084096000000, 13774086247424411622928519309987155476644433, 8841761993790792896715325440000, 28281826017969548933541346738887877969259951, 17892915204807348015458374483112369278, 10359724208062399541958509033745164037719, 8841761993739701954543616000120, 8841761993739701954549843020800, 8841761993739823599644024832000, 28281888346007231990181543388176762971580727, 10341831284004956816162169531924480000000, 28281870478309342164399486692107715962287790, 8841761993739701955851290368000, 8841761993739701954543616362880, 8691540457466064418335919964160000000, 10395543945398802444684784425445085387815, 28271528638802498537868288553836871680000000, 8841761993739702310231044096000, 42045614877995240633494702552977775674888665, 28281870478318194815236773704732049408000000, 13763761782775655178780650100145499629614001, 8841761993739701954543655916800, 62395979023530873258386098618368000000, 28281826026192387587719218465679644567819007, 8691549310116927608456226668544000000, 53712670246480980553660802240087813464, 8231680416171662519680106496000000, 13774086239192731191245646232918425600000000, 42035272528699535510628528052449712211395217, 8691540468370470930819635414875601400, 8841761993739701954543616005040, 8841761993739701954543616000001, 28281870478318194815262676934415207872681647, 8841761993739701954543616000006, 28271519429250340921265226325734565586785615, 28271519437473190479823758639619394714841305, 28271528638811340299995891768938377763741664, 42035254652778807062985817585362018719057400, 28281843902121957812892782813487785684731582], 'label': '15944266600786427904000.a.2441880._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036432
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [10333147975227906923406353292066816000000, 28271528664001520220052291397121318200407807, 355687428458880, 13774139960058681279378702386545098136396926, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 8683326460573880235220148944896000000, 42035290438554325855759767198674481683676726, 8691540457513918856747236043227269424, 122000787836928000, 10386860618328451875226136545812987103025, 13763806812101126007439461884160375270225863, 8222849543047373236433411116012800, 355687428101040, 355687428096001, 355687428096120, 8841761993739702310231044096000, 42045587758569988497885068246104222905864551, 13774112823657246115521218934930997287916800, 13774122058957213530228759453414974868720289, 13774104140330785526155625688545638772736000, 28271510728929404018728009430288302080000000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 42045605659662592691575187155769774462155848, 356995102464000, 42035263820155759954507019246315887835109832, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 42045641471213089027191812423784108214512289, 10386860618339340744676432897185875021094, 10386860618328839114991143595836232914350, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 28271546548693897294329298951770614769828486, 28271519420469872373687781292242791370867495, 13763806803869456480163152768868379632756049, 13763779667459168650065081440978262816977406, 42045605659671434438057665839830598559050648, 42045632796109467446900786046440478162781135, 35827996162770640133764146325909157040], 'label': '15944266600786427904000.a.2441880._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036433
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [355687428458880, 28271510728947708208300014953105694008407807, 13774086247415580749804280603269306941440000, 10386860627790863916429519241740288000000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 13774086239219877158430612484482203032396926, 13774112823638952814844516224946034367934640, 10377659261885300137835403777925379371735, 8683326460573880235220148944896000000, 42035290438554325855759767198674481683676726, 8691540457513918856747236043227269424, 122000787836928000, 42045587766774534190663708817037366738781135, 10386860618328451875226136545812987103025, 28271492844255331229520458901591960561828486, 13763806812101126007439461884160375270225863, 13774104140321323098603212265192678804720289, 8222849543047373236433411116012800, 355687428101040, 355687428096001, 355687428096120, 8841761993739702310231044096000, 42045587758569988497885068246104222905864551, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 13774104140330785526155625688545638772736000, 28271510728929404018728009430288302080000000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 42045605659662592691575187155769774462155848, 356995102464000, 13763788910981375846616129669380627232977406, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 8231680416171662519680106496000000, 10386860618339340744676432897185875021094, 10386860618328839114991143595836232914350, 13774104132107935983082400435373342720000000, 28271519420469872373687781292242791370867495, 13763806803869456480163152768868379632756049, 42045605659671434438057665839830598559050648, 26584446221623598869992790485397157040], 'label': '15944266600786427904000.a.2441880._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036434
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [28271528664001520220052291397121318200407807, 13763761782793948479431501034415061478225863, 355687428458880, 13774139960058681279378702386545098136396926, 13774086247415580749804280603269306941440000, 10386860627790863916429519241740288000000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 10377659261885300137835403777925379371735, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 8222849543047373236433411116012800, 355687428101040, 355687428096001, 355687428096120, 8841761993739702310231044096000, 42045587758569988497885068246104222905864551, 13763761774562257174416291082418744304756049, 13774112823657246115521218934930997287916800, 28281852560240544038214614133424401853176528, 13774122058957213530228759453414974868720289, 28281852560231713165252288262164356749760126, 28271510728929404018728009430288302080000000, 13774104140330785526155625688545638772736000, 42045605659662592691575187155769774462155848, 356995102464000, 13763788910981375846616129669380627232977406, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 8231680416171662519680106496000000, 42045641471213089027191812423784108214512289, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 28271546548693897294329298951770614769828486, 42035263828396881035435727933883314707676726, 28271519420469872373687781292242791370867495, 10341831311151311107030293850522440914350, 42045605659671434438057665839830598559050648, 42045632796109467446900786046440478162781135, 35827996162770640133764146325909157040, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036435
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045614903194251411434048769566482061760126, 42045623578307324869683213028052894623050648, 28271537347346284984046407410511895771109832, 28271528664001520220052291397121318200407807, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 13774086239219877158430612484482203032396926, 42045614903203104062135275477530848701176528, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 13774139960058681279270742237931465712756049, 28271492844255331229520458901591960561828486, 8222849543047373236433411116012800, 355687428101040, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 8841761993739702310231044096000, 53720874781348363247309983875912914350, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 8241131970365835692686645331021094, 53720884243373164685685629779968000000, 13774112815425565683864198510667946784977406, 13774122058957213530228759453414974868720289, 28271510728929404018728009430288302080000000, 13774104140330785526155625688545638772736000, 42045605659662592691575187155769774462155848, 356995102464000, 26584464514908764362658681585664000000, 8241142859235286233039593979103025, 355687428096006, 8231680416171662519680106496000000, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 28271510737170546877989198770654573075676726, 17901138043446014679069297074435371735, 42045632787877166025893029095849536697864551, 13774139951844673498191205717772335590225863, 42045632796109467446900786046440478162781135, 26584446221623598869992790485397157040], 'label': '15944266600786427904000.a.2441880._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036436
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [13763788910990838289653901243636405951934640, 42045623578307324869683213028052894623050648, 10359732403766006534796942173464981157040, 28271537347346284984046407410511895771109832, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 28281834675539336154073253090070007990512289, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 28281879696660283746406883647134012882781135, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 42035290438545484078254766496896621880407807, 13763806812101126007439461884160375270225863, 8222849543047373236433411116012800, 355687428101040, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 13763797594308446197185588320271852948720289, 8841761993739702310231044096000, 13774112823657246115521218934930997287916800, 53720884243373164685685629779968000000, 13774112815425565683864198510667946784977406, 13763753091253480124631495414792519064396926, 13774104140330785526155625688545638772736000, 28271510728929404018728009430288302080000000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 42045605659662592691575187155769774462155848, 356995102464000, 26584464514908764362658681585664000000, 42035245935490518037830178185127406577828486, 355687428096006, 8231680416171662519680106496000000, 10386860618328839114991143595836232914350, 13774104132107935983082400435373342720000000, 17901138043446014679069297074435371735, 42035263828396881035435727933883314707676726, 13763806803869456480163152768868379632756049, 42045632787877166025893029095849536697864551, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036437
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045623578307324869683213028052894623050648, 10333147975227906923406353292066816000000, 355687428458880, 13774139960058681279378702386545098136396926, 28271510728947708208300014953105694008407807, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 42045587766774534190663708817037366738781135, 10386860618328451875226136545812987103025, 28271492844255331229520458901591960561828486, 13763806812101126007439461884160375270225863, 28271546556898442600055940913463164928000000, 8222849543047373236433411116012800, 355687428101040, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 8841761993739702310231044096000, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 28281852560240544038214614133424401853176528, 13774122058957213530228759453414974868720289, 28281852560231713165252288262164356749760126, 13774104140330785526155625688545638772736000, 356995102464000, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 8231680416171662519680106496000000, 10386860618339340744676432897185875021094, 42045614903212555616355351763829936510155848, 10386860618328839114991143595836232914350, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 42035263828396881035435727933883314707676726, 13763806803869456480163152768868379632756049, 13763779667459168650065081440978262816977406, 42045632787877166025893029095849536697864551, 35827996162770640133764146325909157040], 'label': '15944266600786427904000.a.2441880._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036438
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [35827987320993161036169287933240407807, 13774094930733188672847177725481472382155848, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 28281879696669114667359652034689401672914350, 13774086239219877158430612484482203032396926, 17901119750193112552212953312241828486, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 42035299648151911835684122775253940710225863, 122000787836928000, 42035299639920242308407813659961945072756049, 42035254610594749686472988129616911136977406, 8222849543047373236433411116012800, 355687428101040, 28281843876904631925651415783580368896000000, 355687428096001, 355687428096120, 8841761993739702310231044096000, 13774112823657246115521218934930997287916800, 44503072660501056146993280609226867495, 53720884243373164685685629779968000000, 28281843885136922134023511896313258491103025, 13774122058957213530228759453414974868720289, 13774104140330785526155625688545638772736000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 28281843885136933022892962192664631379021094, 356995102464000, 13774130742256539041438552136959329183050648, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 13774139960058681618656125155346912722781135, 8231680416171662519680106496000000, 28281825992240021516221702827625406723371735, 13774130742274843246470063413168330431934640, 13774139951862966799001773868016151737864551, 13774104132107935983082400435373342720000000, 42035263828396881035435727933883314707676726, 26584446221623598869992790485397157040, 13774112823638941925975065684966805686512289], 'label': '15944266600786427904000.a.2441880._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036439
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [13774094930733188672847177725481472382155848, 28271528664001520220052291397121318200407807, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 42035254610594749686472988129616911136977406, 28271492844255331229520458901591960561828486, 13763806812101126007439461884160375270225863, 8222849543047373236433411116012800, 355687428101040, 28281843876904631925651415783580368896000000, 355687428096001, 355687428096120, 42045614894971412757120014681248359828720289, 42045623578289042473361318641001715391934640, 8841761993739702310231044096000, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 44503072660501056146993280609226867495, 53720884243373164685685629779968000000, 13774104140330785526155625688545638772736000, 356995102464000, 28271501527581802660006776681429133717157040, 13774130742256539041438552136959329183050648, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 10377659271325950113309478346595981760126, 355687428096006, 10377659280178600814536186310962621176528, 8231680416171662519680106496000000, 13763753099467477016707718503595012627676726, 28281825992240021516221702827625406723371735, 10386860618328839114991143595836232914350, 13774139951862966799001773868016151737864551, 42045596968149281177158621914770505112396926, 13774104132107935983082400435373342720000000, 13763806803869456480163152768868379632756049, 42045632796109467446900786046440478162781135, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036440
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045623578307324869683213028052894623050648, 28271528664001520220052291397121318200407807, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 13774086239219877158430612484482203032396926, 13774112823638952814844516224946034367934640, 10377659261885300137835403777925379371735, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 10386860618328451875226136545812987103025, 13763806812101126007439461884160375270225863, 28271546556898442600055940913463164928000000, 13774104140321323098603212265192678804720289, 8222849543047373236433411116012800, 355687428101040, 28281843876904631925651415783580368896000000, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 8841761993739702310231044096000, 13774112823657246115521218934930997287916800, 28281852560240544038214614133424401853176528, 28281852560231713165252288262164356749760126, 13774104140330785526155625688545638772736000, 356995102464000, 42035263820155759954507019246315887835109832, 13763788910981375846616129669380627232977406, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 42045641471213089027191812423784108214512289, 10386860618339340744676432897185875021094, 42045614903212555616355351763829936510155848, 10386860618328839114991143595836232914350, 13774104132107935983082400435373342720000000, 28271546548693897294329298951770614769828486, 42035263828396881035435727933883314707676726, 13763806803869456480163152768868379632756049, 42045632787877166025893029095849536697864551, 42045632796109467446900786046440478162781135, 26584446221623598869992790485397157040], 'label': '15944266600786427904000.a.2441880._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036441
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '58140.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': 58140, 'diagramx': None, 'generators': [25852016738891243945647, 122000787836928000, 31598601037728597863500308432411006033967, 121, 10888895302435091045744640000, 7, 10341839515696277394388380578336192681647, 13795369585169793408630736198250978673008041, 13763753091226345046315979581580902400000001, 13763753099458048062374785664923723778973670, 21256778507045430527819861983593499468921, 355693695401647, 40284847, 8683317618827397705561525387264000000, 15537062060069870960640000, 5167, 8231713921652105056815989895225607, 6227388847, 1313941673647, 51212587272118272000, 8841761993790914898817104041647, 363007, 8222838654177974030668522426368000], 'label': '15944266600786427904000.a.58140.a1.a1', '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.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036442
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045623578307324869683213028052894623050648, 13763761782793948479431501034415061478225863, 355687428458880, 13774139960058681279378702386545098136396926, 28271510728947708208300014953105694008407807, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 10377659261885300137835403777925379371735, 8683326460573880235220148944896000000, 42035290438554325855759767198674481683676726, 8691540457513918856747236043227269424, 122000787836928000, 42045587766774534190663708817037366738781135, 28271492844255331229520458901591960561828486, 28271546556898442600055940913463164928000000, 8222849543047373236433411116012800, 355687428101040, 28281843876904631925651415783580368896000000, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 8841761993739702310231044096000, 13763761774562257174416291082418744304756049, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 13774122058957213530228759453414974868720289, 13774104140330785526155625688545638772736000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 356995102464000, 42035263820155759954507019246315887835109832, 13763788910981375846616129669380627232977406, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 42045614903212555616355351763829936510155848, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 10341831311151311107030293850522440914350, 42045632787877166025893029095849536697864551, 35827996162770640133764146325909157040, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036443
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [8841777530801762380148556152094, 13774094922510350003132194128562417306440545, 7, 363000, 13763761782766813433567168352213976422569640, 13774094922510350018669203932827798289389224, 13774094922519191765125881453067370496000000, 13774094930733199561690778039158753764998976, 28271501519358953133711510291387285253303801, 8683317629700755945936546562048000000, 1313901751681, 40279680, 13763753099449194589579268897633989942734121, 355693655479681, 8691540457481601480517634941796409601, 8231680416171662519680106496000000, 1313901756841, 28271492844264183832634923136235421544873657, 126, 8852650863190120306704384000000, 8852666374451254936863407322839, 10341839506854499863535405609648128000000, 8691549310116953460472966861234929840, 8683317629700755946058547349924849961, 8222849543047373240952800929933865, 10333156189224814644651651135058868035206, 8691549310116927608577873143775345353, 6227020927, 42045632770919287187325140365435183153209601, 28281879687915780779675822345661579264000000, 155174063976396408832867842067408748544000000, 13774094922510350018669203932827798290575064, 8683317618827423608791222555223181519, 10333147966386144955518793862893495640110, 10341831284004956842067453646247599223543, 13774094922510360907538812625373363330007385, 10888869450418352160768000001], 'label': '15944266600786427904000.a.2441880._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036444
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045623578307324869683213028052894623050648, 10333147975227906923406353292066816000000, 13763761782793948479431501034415061478225863, 355687428458880, 13774139960058681279378702386545098136396926, 28271510728947708208300014953105694008407807, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 53712661404718986762868259904516096000, 10377659261885300137835403777925379371735, 8683326460573880235220148944896000000, 42035290438554325855759767198674481683676726, 8691540457513918856747236043227269424, 122000787836928000, 10386860618328451875226136545812987103025, 28271492844255331229520458901591960561828486, 8222849543047373236433411116012800, 355687428101040, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 28281852560240544038214614133424401853176528, 13774122058957213530228759453414974868720289, 28281852560231713165252288262164356749760126, 28271510728929404018728009430288302080000000, 13774104140330785526155625688545638772736000, 42045605659662592691575187155769774462155848, 356995102464000, 42035263820155759954507019246315887835109832, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 10386860618328839114991143595836232914350, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 13763806803869456480163152768868379632756049, 13763779667459168650065081440978262816977406, 42045632787877166025893029095849536697864551, 42045632796109467446900786046440478162781135, 35827996162770640133764146325909157040, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036445
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045623578307324869683213028052894623050648, 10333147975227906923406353292066816000000, 28271528664001520220052291397121318200407807, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 13774086239219877158430612484482203032396926, 53712661404718986762868259904516096000, 13774112823638952814844516224946034367934640, 10377659261885300137835403777925379371735, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 42045587766774534190663708817037366738781135, 13763806812101126007439461884160375270225863, 13774104140321323098603212265192678804720289, 8222849543047373236433411116012800, 355687428101040, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 13763761774562257174416291082418744304756049, 13774112823657246115521218934930997287916800, 13774104140330785526155625688545638772736000, 28271510728929404018728009430288302080000000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 42045605659662592691575187155769774462155848, 356995102464000, 42035263820155759954507019246315887835109832, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 42045641471213089027191812423784108214512289, 10386860618339340744676432897185875021094, 13774104132107935983082400435373342720000000, 28271546548693897294329298951770614769828486, 42035263828396881035435727933883314707676726, 13763779667459168650065081440978262816977406, 10341831311151311107030293850522440914350, 42045632787877166025893029095849536697864551, 26584446221623598869992790485397157040], 'label': '15944266600786427904000.a.2441880._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036446
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [28271492844264172991514198603902191605924486, 10386868841167493292913960965711684818350, 28271528655805827517414312366535460814963495, 355687428458880, 42035263828396891924305178352591162903772726, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 42045587766765681200389232672006597818608289, 13774086239219877158430612484482203032396926, 28271537347319139031938787036960819889239807, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 13763806812101126007439461884160375270225863, 8222849543047373236433411116012800, 10333147966386144929666651693210628096000, 355687428101040, 42045614894989706057796717509502805914954648, 355687428096001, 355687428096120, 13763806812092295134341075586949629940852049, 13774112823657246115521218934930997287916800, 53720884243373164685685629779968000000, 13774122058957213530228759453414974868720289, 10333156207529004164952884021429751007025, 13774104140330785526155625688545638772736000, 28271510728929404018728009430288302080000000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 42045605659662592691575187155769774462155848, 356995102464000, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 42045632796100004680070951913219412149768551, 355687428096006, 8231680416171662519680106496000000, 42035290438572630030362386992092798171114872, 13774130742274843246470063413168330431934640, 13763779667459179538934531858974736156881406, 13774104132107935983082400435373342720000000, 42045632796109467446900786046440478162781135, 26584446221623598869992790485397157040, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036447
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [28271528664001520220052291397121318200407807, 28271528655805827517414312366535460814963495, 355687428458880, 13774122058957224434583567895329616580030640, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 28281861811967906365143921204724464638400126, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 28281861811976759015819295896305633729272528, 42045632787886628792722863228713607608413135, 28271492844255331229520458901591960561828486, 8222849543047373236433411116012800, 10333147966386144929666651693210628096000, 355687428101040, 42045614894989706057796717509502805914954648, 13774086239219866269561162065774354836300926, 10333156207518115295502344379855959117094, 355687428096001, 355687428096120, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 53720884243373164685685629779968000000, 13774104140330785526155625688545638772736000, 28271510728929404018728009430288302080000000, 42045605659662592691575187155769774462155848, 356995102464000, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 42045632796100004680070951913219412149768551, 355687428096006, 8231680416171662519680106496000000, 42035290438572630030362386992092798171114872, 13774130742274832342115254971609376148720295, 13763806803878287353261539066790499818321863, 10386860618328839114991143595836232914350, 13763779667459179538934531858974736156881406, 13774104132107935983082400435373342720000000, 42035263828396881035435727933883314707676726, 13763806803869456480163152768868379632756049, 26584437379861605130290835935554136240], 'label': '15944266600786427904000.a.2441880._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036448
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045623578307324869683213028052894623050648, 28271528664001520220052291397121318200407807, 13763761782793948479431501034415061478225863, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 13774086239219877158430612484482203032396926, 53712661404718986762868259904516096000, 13774112823638952814844516224946034367934640, 8683326460573880235220148944896000000, 42035290438554325855759767198674481683676726, 8691540457513918856747236043227269424, 122000787836928000, 42045587766774534190663708817037366738781135, 10386860618328451875226136545812987103025, 13774104140321323098603212265192678804720289, 8222849543047373236433411116012800, 10333147966386144929666651693210628096000, 355687428101040, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 13774112823657246115521218934930997287916800, 28281852560240544038214614133424401853176528, 28281852560231713165252288262164356749760126, 13774104140330785526155625688545638772736000, 28271510728929404018728009430288302080000000, 42045605659662592691575187155769774462155848, 356995102464000, 13763788910981375846616129669380627232977406, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 8231680416171662519680106496000000, 42045641471213089027191812423784108214512289, 10386860618328839114991143595836232914350, 13774104132107935983082400435373342720000000, 28271546548693897294329298951770614769828486, 13763806803869456480163152768868379632756049, 42045632787877166025893029095849536697864551, 26584446221623598869992790485397157040, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036449
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045623578307324869683213028052894623050648, 355687428458880, 13774139960058681279378702386545098136396926, 28271510728947708208300014953105694008407807, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 53712661404718986762868259904516096000, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 28271492844255331229520458901591960561828486, 13763806812101126007439461884160375270225863, 8222849543047373236433411116012800, 10333147966386144929666651693210628096000, 355687428101040, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 13763761774562257174416291082418744304756049, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 13774122058957213530228759453414974868720289, 13774104140330785526155625688545638772736000, 28271510728929404018728009430288302080000000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 42045605659662592691575187155769774462155848, 356995102464000, 13763788910981375846616129669380627232977406, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 8231680416171662519680106496000000, 10386860618339340744676432897185875021094, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 42035263828396881035435727933883314707676726, 10341831311151311107030293850522440914350, 42045632787877166025893029095849536697864551, 42045632796109467446900786046440478162781135, 35827996162770640133764146325909157040], 'label': '15944266600786427904000.a.2441880._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036450
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [28271492844264172991514198603902191605924486, 42045623578307324869683213028052894623050648, 10333147975227906923406353292066816000000, 10386868841167493292913960965711684818350, 355687428458880, 13774122058957224434583567895329616580030640, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 28281861811967906365143921204724464638400126, 8691549310116927608456226668544000000, 42045587766765681200389232672006597818608289, 28271537347319139031938787036960819889239807, 8683326460573880235220148944896000000, 28271510728938245780721749132598533124096000, 8691540457513918856747236043227269424, 28281861811976759015819295896305633729272528, 122000787836928000, 13763806812101126007439461884160375270225863, 8222849543047373236433411116012800, 355687428101040, 13774086239219866269561162065774354836300926, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 13763806812092295134341075586949629940852049, 13774112823657246115521218934930997287916800, 53720884243373164685685629779968000000, 42045605659671434453568926857724318078150808, 10333156207529004164952884021429751007025, 13774104140330785526155625688545638772736000, 10351049104429590944345720633289961003735, 356995102464000, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 42035290438572630030362386992092798171114872, 13774130742274832342115254971609376148720295, 13774104132107935983082400435373342720000000, 42035263828396881035435727933883314707676726, 13763779667459168650065081440978262816977406, 42045632787877166025893029095849536697864551, 26584437379861605130290835935554136240, 42045632796109467446900786046440478162781135, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036451
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045623578307324869683213028052894623050648, 10333147975227906923406353292066816000000, 28271528664001520220052291397121318200407807, 42035263828396891924305178352591162903772726, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 13774086239219877158430612484482203032396926, 8683326460573880235220148944896000000, 28271510728938245780721749132598533124096000, 8691540457513918856747236043227269424, 122000787836928000, 42045632787886628792722863228713607608413135, 28271492844255331229520458901591960561828486, 8222849543047373236433411116012800, 355687428101040, 28271537339123446329300807884374174666867495, 355687428096001, 10333156207518115295502344379855959117094, 355687428096120, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 53720884243373164685685629779968000000, 13774122058957213530228759453414974868720289, 42045605659671434453568926857724318078150808, 28281870495294377827705791414144347581176528, 13774104140330785526155625688545638772736000, 28281870495285525177004564706179980941760126, 10351049104429590944345720633289961003735, 356995102464000, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 42035290438572630030362386992092798171114872, 13763806803878287353261539066790499818321863, 10386860618328839114991143595836232914350, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 13763806803869456480163152768868379632756049, 13763779667459168650065081440978262816977406, 42045632787877166025893029095849536697864551, 26584446221623598869992790485397157040], 'label': '15944266600786427904000.a.2441880._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036452
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5041, 10359724180916447976374111875282353550072, 7, 42522214602171366727135999053629972613545, 52864572147850175419842610664859425308663, 52855354345707953098219249320591360000000, 10351049086147179137093429757778713496615, 8691549310149244984807474184285085784, 15511318118428799146642144, 52855354418892286163038481581368397557833, 10341831284004956816162169531924480000000, 31616485711778834986692498603245568000001, 10351049095169663534111051527233134816935, 8691540457466064418335919964160000000, 51090942171709440001, 26584437379861605130290074345875205183, 10359724180927336872586708427664578870377, 10351049094978067799564682287791733661665, 121, 6227020801, 121645100408832001, 31598592841991533138894377284055736740606, 10351049086350470351570468684742789195023, 362881, 1307674368001, 27157647018168731181289473463681, 15511210043330985984000001, 31607810616987788434521396521131376640001, 17892897047044945428321642837514257055, 355687428096001, 52873247288341613014198234400139382269768, 52864572148019993441602911467096727234889, 10351049094988941130883715744229285992816, 31607810625829550402409081736790016000001, 39916801, 42513523061951456165660458265285440199759, 42513523070544773813873618801463026160425], 'label': '15944266600786427904000.a.62016._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036453
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [10333147975227906923406353292066816000000, 28271528664001520220052291397121318200407807, 13763761782793948479431501034415061478225863, 355687428458880, 13774139960058681279378702386545098136396926, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 53712661404718986762868259904516096000, 10377659261885300137835403777925379371735, 8683326460573880235220148944896000000, 28271510728938245780721749132598533124096000, 8691540457513918856747236043227269424, 122000787836928000, 42045587766774534190663708817037366738781135, 10386860618328451875226136545812987103025, 8222849543047373236433411116012800, 355687428101040, 355687428096001, 355687428096120, 13774112823657246115521218934930997287916800, 42045587758569988497885068246104222905864551, 13774122058957213530228759453414974868720289, 13774104140330785526155625688545638772736000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 356995102464000, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 8231680416171662519680106496000000, 42045641471213089027191812423784108214512289, 42045614903212555616355351763829936510155848, 10386860618328839114991143595836232914350, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 28271546548693897294329298951770614769828486, 42035263828396881035435727933883314707676726, 13763806803869456480163152768868379632756049, 28271519420469872373687781292242791370867495, 13763779667459168650065081440978262816977406, 42045605659671434438057665839830598559050648, 35827996162770640133764146325909157040, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036454
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [10333147975227906923406353292066816000000, 355687428458880, 28271510728947708208300014953105694008407807, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 13774086239219877158430612484482203032396926, 53712661404718986762868259904516096000, 13774112823638952814844516224946034367934640, 10377659261885300137835403777925379371735, 8683326460573880235220148944896000000, 42035290438554325855759767198674481683676726, 28271510728938245780721749132598533124096000, 8691540457513918856747236043227269424, 122000787836928000, 28271492844255331229520458901591960561828486, 13763806812101126007439461884160375270225863, 13774104140321323098603212265192678804720289, 8222849543047373236433411116012800, 355687428101040, 355687428096001, 355687428096120, 42045587758569988497885068246104222905864551, 13763761774562257174416291082418744304756049, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 28281852560240544038214614133424401853176528, 28281852560231713165252288262164356749760126, 13774104140330785526155625688545638772736000, 356995102464000, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 8231680416171662519680106496000000, 10386860618339340744676432897185875021094, 42045614903212555616355351763829936510155848, 13774104132107935983082400435373342720000000, 28271519420469872373687781292242791370867495, 13763779667459168650065081440978262816977406, 10341831311151311107030293850522440914350, 42045605659671434438057665839830598559050648, 42045632796109467446900786046440478162781135, 26584446221623598869992790485397157040], 'label': '15944266600786427904000.a.2441880._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036455
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [42045623578307324869683213028052894623050648, 10386868841167493292913960965711684818350, 28271528664001520220052291397121318200407807, 355687428458880, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 28281861811967906365143921204724464638400126, 8691549310116927608456226668544000000, 13774086239219877158430612484482203032396926, 8683326460573880235220148944896000000, 28271510728938245780721749132598533124096000, 8691540457513918856747236043227269424, 122000787836928000, 28281861811976759015819295896305633729272528, 42045632787886628792722863228713607608413135, 28271492844255331229520458901591960561828486, 13763806812101126007439461884160375270225863, 8222849543047373236433411116012800, 10333147966386144929666651693210628096000, 355687428101040, 28271537339123446329300807884374174666867495, 355687428096001, 355687428096120, 13763806812092295134341075586949629940852049, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 53720884243373164685685629779968000000, 13774122058957213530228759453414974868720289, 42045605659671434453568926857724318078150808, 10333156207529004164952884021429751007025, 13774104140330785526155625688545638772736000, 356995102464000, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 8231680416171662519680106496000000, 13774130742274843246470063413168330431934640, 13763779667459179538934531858974736156881406, 13774104132107935983082400435373342720000000, 42035263828396881035435727933883314707676726, 42045632787877166025893029095849536697864551, 26584446221623598869992790485397157040, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036456
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [28271492844264172991514198603902191605924486, 42045623578307324869683213028052894623050648, 42035263828396891924305178352591162903772726, 355687428458880, 13774122058957224434583567895329616580030640, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 42045587766765681200389232672006597818608289, 10333156207518115295502466024956411103025, 28271537347319139031938787036960819889239807, 8683326460573880235220148944896000000, 28271510728938245780721749132598533124096000, 8691540457513918856747236043227269424, 122000787836928000, 8222849543047373236433411116012800, 10333147966386144929666651693210628096000, 355687428101040, 13774086239219866269561162065774354836300926, 28271537339123446329300807884374174666867495, 355687428096001, 10333156207518115295502344379855959117094, 355687428096120, 13774112823657246115521218934930997287916800, 53720884243373164685685629779968000000, 42045605659671434453568926857724318078150808, 28281870495294377827705791414144347581176528, 13774104140330785526155625688545638772736000, 28281870495285525177004564706179980941760126, 356995102464000, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 355687428096006, 8231680416171662519680106496000000, 13774130742274832342115254971609376148720295, 13763806803878287353261539066790499818321863, 10386860618328839114991143595836232914350, 13763779667459179538934531858974736156881406, 13774104132107935983082400435373342720000000, 13763806803869456480163152768868379632756049, 42045632787877166025893029095849536697864551, 26584437379861605130290835935554136240, 42045632796109467446900786046440478162781135], 'label': '15944266600786427904000.a.2441880._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036457
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [13763761782793948479431501034415061478225863, 355687428458880, 28271510728947708208300014953105694008407807, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 13774086239219877158430612484482203032396926, 53712661404718986762868259904516096000, 13774112823638952814844516224946034367934640, 8683326460573880235220148944896000000, 28271510728938245780721749132598533124096000, 8691540457513918856747236043227269424, 122000787836928000, 10386860618328451875226136545812987103025, 28271492844255331229520458901591960561828486, 13774104140321323098603212265192678804720289, 8222849543047373236433411116012800, 10333147966386144929666651693210628096000, 355687428101040, 355687428096001, 355687428096120, 13774112823657246115521218934930997287916800, 42045587758569988497885068246104222905864551, 42045587766774522962382972373605454006512289, 13774104140330785526155625688545638772736000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 356995102464000, 42035263820155759954507019246315887835109832, 13763788910981375846616129669380627232977406, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 42045614903212555616355351763829936510155848, 10386860618328839114991143595836232914350, 13774104132107935983082400435373342720000000, 42035263828396881035435727933883314707676726, 13763806803869456480163152768868379632756049, 28271519420469872373687781292242791370867495, 42045605659671434438057665839830598559050648, 42045632796109467446900786046440478162781135, 26584446221623598869992790485397157040, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036458
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [28271528664001520220052291397121318200407807, 355687428458880, 13774139960058681279378702386545098136396926, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 10333156207518115295502466024956411103025, 53712661404718986762868259904516096000, 8683326460573880235220148944896000000, 42035290438554325855759767198674481683676726, 28271510728938245780721749132598533124096000, 8691540457513918856747236043227269424, 122000787836928000, 42045587766774534190663708817037366738781135, 13763806812101126007439461884160375270225863, 8222849543047373236433411116012800, 10333147966386144929666651693210628096000, 355687428101040, 355687428096001, 355687428096120, 42045587758569988497885068246104222905864551, 13763761774562257174416291082418744304756049, 13774112823657246115521218934930997287916800, 28281852560240544038214614133424401853176528, 13774122058957213530228759453414974868720289, 28281852560231713165252288262164356749760126, 13774104140330785526155625688545638772736000, 356995102464000, 42035263820155759954507019246315887835109832, 13763788910981375846616129669380627232977406, 10351049104440479813796138986758403371735, 26584464514908764362658681585664000000, 355687428096006, 8231680416171662519680106496000000, 42045641471213089027191812423784108214512289, 10386860618339340744676432897185875021094, 42045614903212555616355351763829936510155848, 13774130742274843246470063413168330431934640, 13774104132107935983082400435373342720000000, 28271546548693897294329298951770614769828486, 28271519420469872373687781292242791370867495, 10341831311151311107030293850522440914350, 42045605659671434438057665839830598559050648, 35827996162770640133764146325909157040], 'label': '15944266600786427904000.a.2441880._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036459
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [10333147975227906923406353292066816000000, 10386868841167493292913960965711684818350, 28271528664001520220052291397121318200407807, 28271528655805827517414312366535460814963495, 355687428458880, 42035263828396891924305178352591162903772726, 13774122058957224434583567895329616580030640, 13774086247415580749804280603269306941440000, 8222849543047373236077729914937600, 8691549310116927608456226668544000000, 8683326460573880235220148944896000000, 8691540457513918856747236043227269424, 122000787836928000, 42045632787886628792722863228713607608413135, 28271492844255331229520458901591960561828486, 13763806812101126007439461884160375270225863, 8222849543047373236433411116012800, 42045614894989706057796717509502805914954648, 355687428101040, 13774086239219866269561162065774354836300926, 355687428096001, 355687428096120, 13763806812092295134341075586949629940852049, 13774112823657246115521218934930997287916800, 42045587766774522962382972373605454006512289, 53720884243373164685685629779968000000, 10333156207529004164952884021429751007025, 13774104140330785526155625688545638772736000, 28271510728929404018728009430288302080000000, 28281870495294377827705791414144347581176528, 28281870495285525177004564706179980941760126, 42045605659662592691575187155769774462155848, 10351049104429590944345720633289961003735, 356995102464000, 26584464514908764362658681585664000000, 42035281755255011218475891473898396891109832, 42045632796100004680070951913219412149768551, 355687428096006, 8231680416171662519680106496000000, 13774130742274832342115254971609376148720295, 13774104132107935983082400435373342720000000, 13763779667459168650065081440978262816977406, 26584437379861605130290835935554136240, 10333156207529004164952762376329299021094], 'label': '15944266600786427904000.a.2441880._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036460
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1220940, 'diagramx': None, 'generators': [13774086239201583874451957417026585080233647, 15511261134273157693440000, 44503072649612160793467246084096000000, 10359724180916495750791686403466575934766, 5046, 7, 8249973716874217493834044635950928, 13763797594290152912613726187046087789871791, 10341831284004956816162169531924480000000, 13763797602540126693935471903185852942137895, 122002101738679686, 10377651057339946636664585276247821030398, 8691540457466064418335919964160000000, 6227383801, 26576232823619234459767763172095218537, 356995142748840, 13774148643394593391808088697936217474614729, 8691549310116927608456226668544000000, 121, 40279806, 10333156216359877477057475436639841091256, 13774104132107946872463378488650412776089888, 1307714647681, 17892924046553856397014718366095094614, 51091297865404473607, 10395543945398802444735875003552843612455, 53720893074246288974969232162816000000, 368041, 10341839506843610994192291796825229909465, 13774122067161758883729979314480059508077209, 8222849543047373236077723648000000, 13774104132098484638598877780819995873922433, 13763753099476329667545056607161518046193983, 26576223372209605835186513010513186791, 13763770984141560727022184202387980288000000, 13763779675682018193652133424873785638176311, 10888869450418352160768000001, 25903108038051828828840], 'label': '15944266600786427904000.a.2441880._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2441880.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2441880._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036461
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '2490368.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': 2490368, 'diagramx': None, 'generators': [10341839515696342165037623305080682830136, 295719495953211880312624, 5666586912599, 10341839515696277394388380578336192681647, 13587061985, 209387525148159097878875376, 31616485711767946117242080251084800000000, 21256786757030875145934114814017257450470, 1070733734562319873799, 214180137186492126927930065280, 476191014, 10628142860779081251340217646099594562255, 963686046209822231161, 586586234935167695585, 28385, 377664501384248050022400, 10341882239756968827888897637495560597550, 93122069711395820113997945259160614, 10341839515696277692356526133281782810649, 361364971250665734271841293120613514562271, 10341899215905798448453166834446400961353, 10341839515696277394388380578336367670463, 10341839515696277394388380578336195919055, 118851574737918577392785396352988368, 78674124088594966274703360000, 425, 2049515609474194134], 'label': '15944266600786427904000.a.2490368.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2490368.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2490368.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036462
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '2604672.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': 2604672, 'diagramx': None, 'generators': [13763753091226345046341882811262747098399704, 25852138383985385477160, 53712661393845654374631267033956772601, 13763753091226345094170361779299827721297841, 269868371760974835077160, 15537114554258871221316775, 7, 355687428096001, 10341839515696261857326320518377649219425, 10341839515696277368643546377988754333670, 13763753091226345046315979581580902400000001, 5160, 13774094930742041308173305902088053730648257, 13785009860988887897272699084266106746624126, 13774094930742041308173254689145094144000000, 126, 362881, 122000787836928126, 1307674368001, 15511210165737695671274887, 15511210043330985984000001, 25852138740986714980271, 52855354345707968609429414653672855296000, 10341839515696261857326198878808753698558, 6267300600, 40279680, 25903742637441453079681, 51090942171709440001, 15537062060426872554658680], 'label': '15944266600786427904000.a.2604672.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2604672.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2604672.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036463
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5041, 8683344776458904664249375690753463680, 8231691337358489289279783005085790, 7, 52846679259769557383437341749782489200409, 10341831284004956816162169531924480000000, 8683326460573906247681485914160387777, 52855354345707953124122479005312375525544, 21283337745381816724637493506866096373455, 8691540457466064418335919964160000000, 21283345968220455365498246639124480000000, 42513523061702996282058873210635799448342, 21283345977062232870448113926836378858312, 51090942171709440001, 8897867335473664012161410263384, 8683317618811886495518194401280000001, 8683326471462775540082495648755568513, 21283337754223563181366222165964353570969, 21274654427762989301132282893410716851343, 42513523070544758302721703378682836100248, 121, 6227020801, 121645100408832001, 25852016738884976640001, 42522214602171366727186968333955731259865, 362881, 1307674368001, 15511210043330985984000001, 42522206388174474543005902435534816880230, 8841761993739701954543616000001, 355687428096001, 21274654436615640568537424066264744659216, 10341831292857607679352289838635091389416, 52855354354549730629022163758318172980689, 10341831292846734321113830238909431744969, 39916801, 10888869450418352160768000001], 'label': '15944266600786427904000.a.62016._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036464
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '2645370.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': 2645370, 'diagramx': None, 'generators': [10333156198066576638442444030513979369647, 13774086247424422496286759292951486927977000, 6227388847, 51090943479383808000, 85062848911705319078209667295791889756846, 5041, 10333156198066561127181188868225781893424, 52864597895670893415445917807619511020927, 7, 121646408083200000, 15537062060069870960640000, 8841762019591718693428592640000, 28281870504038925655958488824887623296830760, 211695810771110730436122604440467962169093160, 8222838654203774834464447856640000, 13763761782766802527891607960833166707473841, 13774094930742041323710316749214965104640000, 126881340938044277067355162111903592719084927, 10888895302435091045744640000, 169650231687617217099950898831897888030720000, 13774086239201583842134688491966116700569720, 10333156198066561127181187756514672640000, 13763761774552805635733277886942455126656766, 126, 25852016740192690929840, 10341831284004972353275320545281051481032, 155121271026243744693757712892410822050217640, 362881, 1307674368001, 10333156198066576638442444030527391414463, 42567210002411202121837677847815851196846, 355687428096001, 10333156198066561127288613540616737873847, 169735276643632010880094530195266411311857847, 13774094922519202654021184009804877972024246, 13763761774552816524602778493098995913815752, 39921840, 8222838654177922817729706763604710, 8683317618811912347534933286256640000, 13763761782775655163243639250751838164736310], 'label': '15944266600786427904000.a.2645370.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2645370.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2645370.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036465
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1856156927625.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': 1856156927625, 'diagramx': None, 'generators': [141378962300639236141210170498188273456753568, 31598601138026006662827584197056288829129, 121645106675774640, 141452868877334355941714389765223734680561966, 8841777504949751315423608091231, 121, 51212587278385209607, 7, 13997604061429962462637243662090695757062520, 155216613293474773481159185962847885308652801, 8231680416171662525708692828087264, 5046, 232683824062857874643072959555928563776, 13806373979947280762292504474544347174423112, 1307674368001, 39916920, 6385575209166310, 1307676371761, 15511210043687981088099846, 10888869450540354256320848646, 6227020920], 'label': '15944266600786427904000.a.1856156927625.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1856156927625.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1856156927625.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036466
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [10888869450539997267403852801, 368046, 84952513465044270437104693164376816105041960, 8222838669715035969094600692828847, 122000794103865600, 6266937607, 8222838654177922939370663328753840, 39921847, 121, 25852017094578671673600, 10904380660583328247200753846, 13774094930733199561716628260204688709744047, 7, 42066862438196795770364325670879319671965784, 25852016738891203660921, 5167, 8691549299243595271310888652224681647, 8231680416197565749363264920764841, 51212587278385209607, 10333156189224814644702742077224261744041], 'label': '15944266600786427904000.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: 12036467
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [10888869450539997267403852801, 368046, 122000794103865600, 6266937607, 8222838669715035969094600692828847, 39921847, 8222838654177922939370663328753840, 121, 25852017094578671673600, 10904380660583328247200753846, 13774094930733199561716628260204688709744047, 7, 25852016738891203660921, 5167, 8691549299243595271310888652224681647, 51212587278385209607, 8231680416197565749363264920764841, 10333156189224814644702742077224261744041], 'label': '15944266600786427904000.a.60822550204416000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '60822550204416000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '60822550204416000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036468
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '2430157994328064000.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': 37971218661376000, 'diagramx': None, 'generators': [286689161491592490381088584533743858874584, 26912805120, 297612562570269211085467237710288261125622, 53115293477062373684440687917845133081888, 297612562569987036628275898217848521873840, 35802824908528915578969307710750720000, 158651574956050176000, 297612562570110879424218000268443406776545], 'label': '15944266600786427904000.a.2430157994328064000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2430157994328064000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2430157994328064000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036469
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '127554132806291423232.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': 432515912564736, 'diagramx': None, 'generators': [271124242842101226632987800608, 144050618795335647624854273711462400, 217348264], 'label': '15944266600786427904000.a.127554132806291423232.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '127554132806291423232.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '127554132806291423232.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036470
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '325393195934416896000.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': 1176914047795200, 'diagramx': None, 'generators': [127074537009265511875194697912692462, 127074537009265246688873016650419200], 'label': '15944266600786427904000.a.325393195934416896000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '325393195934416896000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '325393195934416896000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036471
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '839171926357180416000.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': 93241325150797824000, 'diagramx': None, 'generators': [353277043240032702959615371672976152536969742], 'label': '15944266600786427904000.a.839171926357180416000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '839171926357180416000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '839171926357180416000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036472
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '937898035340378112000.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': 14654656802193408000, 'diagramx': None, 'generators': [319048507740059916526385986753414777208263], 'label': '15944266600786427904000.a.937898035340378112000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '937898035340378112000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '937898035340378112000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036473
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1226482046214340608000.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': 4436060641689600, 'diagramx': None, 'generators': [141707941476455867510736490411054694637677214], 'label': '15944266600786427904000.a.1226482046214340608000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1226482046214340608000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1226482046214340608000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036474
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5041, 13763761782775655195560964389055086685085790, 7, 13795369576938113007970283726425291696373455, 52846679259769557383437341749782489200409, 13806275305837358175036908301742000096880230, 10341831284004956816162169531924480000000, 52855354345707953124122479005312375525544, 8691540457466064418335919964160000000, 21283345968220455365498246639124480000000, 42513523061702996282058873210635799448342, 21283345977062232870448113926836378858312, 13763753091253502693334148312762191873463680, 51090942171709440001, 8897867335473664012161410263384, 13795369576946954754427012455084389953570969, 21274654427762989301132282893410716851343, 42513523070544758302721703378682836100248, 121, 121645100408832001, 6227020801, 25852016738884976640001, 42522214602171366727186968333955731259865, 362881, 1307674368001, 15511210043330985984000001, 8841761993739701954543616000001, 355687428096001, 21274654436615640568537424066264744659216, 10341831292857607679352289838635091389416, 52855354354549730629022163758318172980689, 10341831292846734321113830238909431744969, 13763753091226345046315979581580902400000001, 13763753091235197697205024145882149875568513, 39916801, 13763753091235186808335731744872415280387777, 10888869450418352160768000001], 'label': '15944266600786427904000.a.62016._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036475
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '1449478781889675264000.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': 28085448867840, 'diagramx': None, 'generators': [113107245998694650583104734404929982321690246], 'label': '15944266600786427904000.a.1449478781889675264000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1449478781889675264000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1449478781889675264000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036476
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': '15944266600786427904000.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': '15944266600786427904000.a.15944266600786427904000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '15944266600786427904000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '15944266600786427904000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 12036477
    {'ambient': '15944266600786427904000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, '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': [5041, 7, 13763761774543963858202475099775303680000000, 13816608453803733431122924563064783452980689, 13806275297605677758865243732189295251259865, 10341831284004956816162169531924480000000, 52855354345707953124122479005312375525544, 8691540457466064418335919964160000000, 21283345968220455365498246639124480000000, 13795360893620494180546778515811836316851343, 13763761774552816509091519542431450746736513, 21283345977062232870448113926836378858312, 13763753099458036383674468870860685405085784, 51090942171709440001, 42522214611013128720928720161097696517350, 13763761774552861725537948763787465090263384, 42513523070544758302721703378682836100248, 121, 13774086239201572968750597893625410551744969, 121645100408832001, 6227020801, 25852016738884976640001, 362881, 1307674368001, 27157647018168731181289473463681, 15511210043330985984000001, 13795360893629346831814183656984690344659216, 8841761993739701954543616000001, 355687428096001, 10341831292857607679352289838635091389416, 13806266622510886696775961272517101079448342, 39916801, 13785036428980568609497345803746866753576009, 13785036428971726863040617075087768496373454, 13816599762263275949521494105605122009200409, 8841762019752284936613289219777, 10888869450418352160768000001], 'label': '15944266600786427904000.a.62016._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '62016.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '62016._.D', 'subgroup_fusion': None, 'weyl_group': None}