Abstract group data - 512.7530050

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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': '32.51', 'all_subgroups_known': True, 'almost_simple': False, 'aut_abelian': False, 'aut_cyclic': False, 'aut_derived_length': 4, 'aut_exponent': 24, 'aut_gen_orders': [2, 6, 4, 4, 4, 4, 4, 2, 4, 2, 4, 2, 4], 'aut_gens': [[41141527, 90882847, 94399200, 94525336, 94525327, 139725360, 177960, 83629560, 94525320], [41141527, 90882847, 94399223, 94525327, 94525336, 139725360, 177960, 83629560, 94525320], [251522647, 90882863, 94399207, 23, 94525336, 139725360, 15049560, 83629560, 94525320], [251522647, 94399207, 90882840, 94525336, 94525327, 15049560, 139725360, 14928480, 94525320], [172046887, 83640367, 136095240, 94525336, 94525327, 15049560, 302376360, 83629560, 94525320], [172046887, 98155447, 94399200, 94525336, 94525327, 132452760, 15049560, 83629560, 94525320], [172046896, 98155447, 94399223, 94525336, 94525327, 132452760, 15049560, 83629560, 94525320], [172046880, 11290320, 167167, 16, 94525327, 132452760, 15049560, 83629560, 94525320], [207290296, 18558007, 94399200, 16, 7, 139725360, 177960, 83629560, 94525320], [41141527, 18558000, 94399216, 16, 94525327, 139725360, 177960, 83629560, 94525320], [207290296, 90882847, 167160, 94525336, 94525327, 139725360, 177960, 83629560, 94525320], [262897943, 98155463, 94399216, 94525336, 94525327, 132452760, 15049560, 83629560, 94525320], [207290280, 90882856, 167183, 94525336, 94525327, 139725360, 177960, 83629560, 94525320], [41141520, 18558000, 94399223, 94525336, 7, 139725360, 177960, 83629560, 94525320]], 'aut_group': '786432.ie', 'aut_hash': 5057471148814902162, 'aut_nilpotency_class': -1, 'aut_nilpotent': False, 'aut_order': 786432, 'aut_permdeg': 96, 'aut_perms': [870845827671069201049378893821313739173996491645553911600909292736130827781933627267579486886151733766821430509791516176744320924563810731, 812597144008958114614617998564704522112343265782877262858207256368633343063847016545991428185530571801915609318785554308026404465696328325862874039561, 283273545640630142422918720186555967903610640649385790089321670910674444842702013809638201058323602708802610378992401654672172182959932295716027359933, 41081621266568949207908333677354880246052116257221869252949055169436905846081162150606912143305064322417604931182667298475625389571080420655951250102, 557938669782256584498878476704753707796982932457750486137166538221482498359542904545601145996486054305057649742723120732252585952646384911022343362274, 105861841575627349340060401826933645313187184724355310869522687530585016333915042568875346804603640636012845624941634110765742797290776512488062939069, 606869860515750396906850537214577644495957154665704503471627531774011959937889148349515849827997977945890034665394727826577264841765699166770348026553, 803675829417437467684468445740089268900404723528091442149732014396963097681308544613708648842981391257569205776438772004773483289951532252197673582420, 3022678104356530442361611382461857667261660942936018656484086261104904979705213581468267383729316845405681719525926730199103876374393843899469455022, 803675829290697771042062411236884350506671029609680547832406420772434200298864669655939665434442217991260167305469074785985359845416680580320012657728, 98225104409240297462316937124631441731871075096333298751311250704374652442089434132474319724161100848825172204410610370113122764495926346457672162659, 303541177792401941630643930337027271537835552093502374060443229023675147121977789813785685595601026324592989203141519849555749199767020525141848129129, 519165637686038656986436358826679955211366611826235899478622769598062514996708555714302970702826551422754127037819222043449258516292911785489129172144], 'aut_phi_ratio': 3072.0, 'aut_solvable': True, 'aut_stats': [[1, 1, 1, 1], [2, 1, 1, 1], [2, 1, 6, 1], [2, 2, 1, 1], [2, 2, 3, 1], [2, 4, 2, 1], [2, 4, 6, 1], [2, 4, 16, 1], [2, 8, 4, 2], [4, 4, 1, 1], [4, 4, 3, 1], [4, 4, 8, 1], [4, 8, 4, 1], [4, 8, 8, 1], [4, 16, 8, 1], [8, 16, 4, 1]], 'aut_supersolvable': False, 'aut_tex': 'C_2^{12}.(D_4\\times S_4)', 'autcent_abelian': False, 'autcent_cyclic': False, 'autcent_exponent': 12, 'autcent_group': None, 'autcent_hash': 4161364993999926539, 'autcent_nilpotent': False, 'autcent_order': 12288, 'autcent_solvable': True, 'autcent_split': None, 'autcent_supersolvable': False, 'autcent_tex': 'C_2^7.C_2^4.S_3', 'autcentquo_abelian': False, 'autcentquo_cyclic': False, 'autcentquo_exponent': 4, 'autcentquo_group': None, 'autcentquo_hash': 138, 'autcentquo_nilpotent': True, 'autcentquo_order': 64, 'autcentquo_solvable': True, 'autcentquo_supersolvable': True, 'autcentquo_tex': 'C_2\\wr C_2^2', 'cc_stats': [[1, 1, 1], [2, 1, 7], [2, 2, 4], [2, 4, 24], [2, 8, 8], [4, 4, 12], [4, 8, 12], [4, 16, 8], [8, 16, 4]], 'center_label': '8.5', 'center_order': 8, 'central_product': True, 'central_quotient': '64.138', 'commutator_count': 1, 'commutator_label': '16.11', 'complements_known': True, 'complete': False, 'complex_characters_known': True, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1'], 'composition_length': 9, 'conjugacy_classes_known': True, 'counter': 7530050, 'cyclic': False, 'derived_length': 3, 'dihedral': False, 'direct_factorization': [['128.928', 1], ['2.1', 2]], 'direct_product': True, 'div_stats': [[1, 1, 1, 1], [2, 1, 1, 7], [2, 2, 1, 4], [2, 4, 1, 24], [2, 8, 1, 8], [4, 4, 1, 12], [4, 8, 1, 12], [4, 16, 1, 8], [8, 16, 1, 4]], 'element_repr_type': 'Perm', 'elementary': 2, 'eulerian_function': 13332480, 'exponent': 8, 'exponents_of_order': [9], 'factors_of_aut_order': [2, 3], 'factors_of_order': [2], 'faithful_reps': [], 'familial': False, 'frattini_label': '16.11', 'frattini_quotient': '32.51', 'hash': 7530050, 'hyperelementary': 2, 'inner_abelian': False, 'inner_cyclic': False, 'inner_exponent': 4, 'inner_gen_orders': [2, 2, 2, 1, 1, 2, 2, 2, 1], 'inner_gens': [[41141527, 298746847, 94520280, 94525336, 94525327, 139725360, 177960, 14928480, 94525320], [251522647, 90882847, 94399200, 94525336, 94525327, 139725360, 15049560, 83629560, 94525320], [41091247, 90882847, 94399200, 94525336, 94525327, 302376360, 177960, 83629560, 94525320], [41141527, 90882847, 94399200, 94525336, 94525327, 139725360, 177960, 83629560, 94525320], [41141527, 90882847, 94399200, 94525336, 94525327, 139725360, 177960, 83629560, 94525320], [41141527, 90882847, 15054600, 94525336, 94525327, 139725360, 94394160, 83629560, 94525320], [41141527, 98155447, 94399200, 94525336, 94525327, 295108680, 177960, 83629560, 94525320], [207290287, 90882847, 94399200, 94525336, 94525327, 139725360, 177960, 83629560, 94525320], [41141527, 90882847, 94399200, 94525336, 94525327, 139725360, 177960, 83629560, 94525320]], 'inner_hash': 138, 'inner_nilpotent': True, 'inner_order': 64, 'inner_split': False, 'inner_tex': 'C_2\\wr C_2^2', 'inner_used': [1, 2, 3], 'irrC_degree': -1, 'irrQ_degree': -1, 'irrQ_dim': -1, 'irrR_degree': -1, 'irrep_stats': [[1, 32], [2, 24], [4, 24]], 'label': '512.7530050', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': 6, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': True, 'name': 'D4^2:C2^3', 'ngens': 9, 'nilpotency_class': 4, 'nilpotent': True, 'normal_counts': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': 17, 'number_characteristic_subgroups': 18, 'number_conjugacy_classes': 80, 'number_divisions': 80, 'number_normal_subgroups': 578, 'number_subgroup_autclasses': 466, 'number_subgroup_classes': 7242, 'number_subgroups': 27282, 'old_label': None, 'order': 512, 'order_factorization_type': 7, 'order_stats': [[1, 1], [2, 175], [4, 272], [8, 64]], 'outer_abelian': False, 'outer_cyclic': False, 'outer_equivalence': True, 'outer_exponent': 24, 'outer_gen_orders': [4, 4, 4], 'outer_gen_pows': [0, 0, 0], 'outer_gens': [[207290296, 167183, 18558007, 7, 94525336, 177960, 139725360, 14928480, 94525320], [41141520, 167167, 90882856, 94525336, 94525327, 177960, 139725360, 14928480, 94525320], [207290280, 90882840, 167160, 16, 94525343, 139725360, 177960, 83629560, 94525320]], 'outer_group': None, 'outer_hash': 7369186840958827619, 'outer_nilpotent': False, 'outer_order': 12288, 'outer_permdeg': 20, 'outer_perms': [1270063923519864381, 1916621141797368736, 1539500538872303417], 'outer_solvable': True, 'outer_supersolvable': False, 'outer_tex': 'C_2^6.C_2^4.D_6', 'pc_rank': 6, 'perfect': False, 'permutation_degree': 12, 'pgroup': 2, 'primary_abelian_invariants': [2, 2, 2, 2, 2], 'quasisimple': False, 'rank': 5, 'rational': True, 'rational_characters_known': True, 'ratrep_stats': [[1, 32], [2, 24], [4, 24]], 'representations': {'PC': {'code': '21948546922097849121396062733480935605416', 'gens': [1, 2, 3, 4, 6, 8], 'pres': [9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 867, 102, 2408, 365, 158, 29959, 2050, 1771, 214, 25928, 3275]}, 'GLZ': {'b': 3, 'd': 6, 'gens': [24992906222183252, 125101724435340314, 25038659807093174, 125101740294620861, 125101750006154014]}, 'Perm': {'d': 12, 'gens': [41141527, 90882847, 94399200, 94525336, 94525327, 139725360, 177960, 83629560, 94525320]}}, 'schur_multiplier': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'semidirect_product': True, 'simple': False, 'smith_abelian_invariants': [2, 2, 2, 2, 2], 'solvability_type': 5, 'solvable': True, 'subgroup_inclusions_known': True, 'subgroup_index_bound': 0, 'supersolvable': True, 'sylow_subgroups_known': True, 'tex_name': 'D_4^2:C_2^3', 'transitive_degree': 32, 'wreath_data': None, 'wreath_product': False}
• gps_conj_classes •

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

  
  
  • id: 105695116
    {'aut_label': '1A', 'centralizer': '1.a1', 'counter': 1, 'group_counter': 7530050, 'group_order': 512, 'label': '1A', 'order': 1, 'powers': [1], 'representative': 0, 'size': 1}
  • id: 105695127
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 2, 'group_counter': 7530050, 'group_order': 512, 'label': '2A', 'order': 2, 'powers': [1], 'representative': 7, 'size': 1}
  • id: 105695138
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 3, 'group_counter': 7530050, 'group_order': 512, 'label': '2B', 'order': 2, 'powers': [1], 'representative': 16, 'size': 1}
  • id: 105695149
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 4, 'group_counter': 7530050, 'group_order': 512, 'label': '2C', 'order': 2, 'powers': [1], 'representative': 23, 'size': 1}
  • id: 105695160
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 5, 'group_counter': 7530050, 'group_order': 512, 'label': '2D', 'order': 2, 'powers': [1], 'representative': 94525327, 'size': 1}
  • id: 105695171
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 6, 'group_counter': 7530050, 'group_order': 512, 'label': '2E', 'order': 2, 'powers': [1], 'representative': 94525336, 'size': 1}
  • id: 105695182
    {'aut_label': '2A', 'centralizer': '1.a1', 'counter': 7, 'group_counter': 7530050, 'group_order': 512, 'label': '2F', 'order': 2, 'powers': [1], 'representative': 94525343, 'size': 1}
  • id: 105695193
    {'aut_label': '2G', 'centralizer': '1.a1', 'counter': 8, 'group_counter': 7530050, 'group_order': 512, 'label': '2G', 'order': 2, 'powers': [1], 'representative': 94525320, 'size': 1}
  • id: 105695195
    {'aut_label': '2H', 'centralizer': '2.d1', 'counter': 9, 'group_counter': 7530050, 'group_order': 512, 'label': '2H', 'order': 2, 'powers': [1], 'representative': 14928487, 'size': 2}
  • id: 105695117
    {'aut_label': '2H', 'centralizer': '2.d1', 'counter': 10, 'group_counter': 7530050, 'group_order': 512, 'label': '2I', 'order': 2, 'powers': [1], 'representative': 14928496, 'size': 2}
  • id: 105695118
    {'aut_label': '2H', 'centralizer': '2.d1', 'counter': 11, 'group_counter': 7530050, 'group_order': 512, 'label': '2J', 'order': 2, 'powers': [1], 'representative': 14928503, 'size': 2}
  • id: 105695119
    {'aut_label': '2K', 'centralizer': '2.d1', 'counter': 12, 'group_counter': 7530050, 'group_order': 512, 'label': '2K', 'order': 2, 'powers': [1], 'representative': 14928480, 'size': 2}
  • id: 105695120
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 13, 'group_counter': 7530050, 'group_order': 512, 'label': '2L', 'order': 2, 'powers': [1], 'representative': 10800, 'size': 4}
  • id: 105695121
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 14, 'group_counter': 7530050, 'group_order': 512, 'label': '2M', 'order': 2, 'powers': [1], 'representative': 10807, 'size': 4}
  • id: 105695122
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 15, 'group_counter': 7530050, 'group_order': 512, 'label': '2N', 'order': 2, 'powers': [1], 'representative': 10816, 'size': 4}
  • id: 105695123
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 16, 'group_counter': 7530050, 'group_order': 512, 'label': '2O', 'order': 2, 'powers': [1], 'representative': 10823, 'size': 4}
  • id: 105695124
    {'aut_label': '2P', 'centralizer': '4.q1', 'counter': 17, 'group_counter': 7530050, 'group_order': 512, 'label': '2P', 'order': 2, 'powers': [1], 'representative': 177967, 'size': 4}
  • id: 105695125
    {'aut_label': '2P', 'centralizer': '4.q1', 'counter': 18, 'group_counter': 7530050, 'group_order': 512, 'label': '2Q', 'order': 2, 'powers': [1], 'representative': 177976, 'size': 4}
  • id: 105695126
    {'aut_label': '2P', 'centralizer': '4.q1', 'counter': 19, 'group_counter': 7530050, 'group_order': 512, 'label': '2R', 'order': 2, 'powers': [1], 'representative': 177983, 'size': 4}
  • id: 105695128
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 20, 'group_counter': 7530050, 'group_order': 512, 'label': '2S', 'order': 2, 'powers': [1], 'representative': 11290320, 'size': 4}
  • id: 105695129
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 21, 'group_counter': 7530050, 'group_order': 512, 'label': '2T', 'order': 2, 'powers': [1], 'representative': 11290327, 'size': 4}
  • id: 105695130
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 22, 'group_counter': 7530050, 'group_order': 512, 'label': '2U', 'order': 2, 'powers': [1], 'representative': 11290336, 'size': 4}
  • id: 105695131
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 23, 'group_counter': 7530050, 'group_order': 512, 'label': '2V', 'order': 2, 'powers': [1], 'representative': 11290343, 'size': 4}
  • id: 105695132
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 24, 'group_counter': 7530050, 'group_order': 512, 'label': '2W', 'order': 2, 'powers': [1], 'representative': 15054600, 'size': 4}
  • id: 105695133
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 25, 'group_counter': 7530050, 'group_order': 512, 'label': '2X', 'order': 2, 'powers': [1], 'representative': 15054607, 'size': 4}
  • id: 105695134
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 26, 'group_counter': 7530050, 'group_order': 512, 'label': '2Y', 'order': 2, 'powers': [1], 'representative': 15054616, 'size': 4}
  • id: 105695135
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 27, 'group_counter': 7530050, 'group_order': 512, 'label': '2Z', 'order': 2, 'powers': [1], 'representative': 15054623, 'size': 4}
  • id: 105695136
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 28, 'group_counter': 7530050, 'group_order': 512, 'label': '2AA', 'order': 2, 'powers': [1], 'representative': 90882840, 'size': 4}
  • id: 105695137
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 29, 'group_counter': 7530050, 'group_order': 512, 'label': '2AB', 'order': 2, 'powers': [1], 'representative': 90882847, 'size': 4}
  • id: 105695139
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 30, 'group_counter': 7530050, 'group_order': 512, 'label': '2AC', 'order': 2, 'powers': [1], 'representative': 90882856, 'size': 4}
  • id: 105695140
    {'aut_label': '2L', 'centralizer': '4.t1', 'counter': 31, 'group_counter': 7530050, 'group_order': 512, 'label': '2AD', 'order': 2, 'powers': [1], 'representative': 90882863, 'size': 4}
  • id: 105695141
    {'aut_label': '2P', 'centralizer': '4.q1', 'counter': 32, 'group_counter': 7530050, 'group_order': 512, 'label': '2AE', 'order': 2, 'powers': [1], 'representative': 132452767, 'size': 4}
  • id: 105695142
    {'aut_label': '2P', 'centralizer': '4.q1', 'counter': 33, 'group_counter': 7530050, 'group_order': 512, 'label': '2AF', 'order': 2, 'powers': [1], 'representative': 132452776, 'size': 4}
  • id: 105695143
    {'aut_label': '2P', 'centralizer': '4.q1', 'counter': 34, 'group_counter': 7530050, 'group_order': 512, 'label': '2AG', 'order': 2, 'powers': [1], 'representative': 132452783, 'size': 4}
  • id: 105695144
    {'aut_label': '2AH', 'centralizer': '4.q1', 'counter': 35, 'group_counter': 7530050, 'group_order': 512, 'label': '2AH', 'order': 2, 'powers': [1], 'representative': 177960, 'size': 4}
  • id: 105695145
    {'aut_label': '2AH', 'centralizer': '4.q1', 'counter': 36, 'group_counter': 7530050, 'group_order': 512, 'label': '2AI', 'order': 2, 'powers': [1], 'representative': 132452760, 'size': 4}
  • id: 105695146
    {'aut_label': '2AJ', 'centralizer': '8.bs1', 'counter': 37, 'group_counter': 7530050, 'group_order': 512, 'label': '2AJ', 'order': 2, 'powers': [1], 'representative': 11412120, 'size': 8}
  • id: 105695147
    {'aut_label': '2AJ', 'centralizer': '8.bs1', 'counter': 38, 'group_counter': 7530050, 'group_order': 512, 'label': '2AK', 'order': 2, 'powers': [1], 'representative': 11412127, 'size': 8}
  • id: 105695148
    {'aut_label': '2AJ', 'centralizer': '8.bs1', 'counter': 39, 'group_counter': 7530050, 'group_order': 512, 'label': '2AL', 'order': 2, 'powers': [1], 'representative': 11412136, 'size': 8}
  • id: 105695150
    {'aut_label': '2AJ', 'centralizer': '8.bs1', 'counter': 40, 'group_counter': 7530050, 'group_order': 512, 'label': '2AM', 'order': 2, 'powers': [1], 'representative': 11412143, 'size': 8}
  • id: 105695151
    {'aut_label': '2AN', 'centralizer': '8.ce1', 'counter': 41, 'group_counter': 7530050, 'group_order': 512, 'label': '2AN', 'order': 2, 'powers': [1], 'representative': 41091240, 'size': 8}
  • id: 105695152
    {'aut_label': '2AN', 'centralizer': '8.ce1', 'counter': 42, 'group_counter': 7530050, 'group_order': 512, 'label': '2AO', 'order': 2, 'powers': [1], 'representative': 41091247, 'size': 8}
  • id: 105695153
    {'aut_label': '2AN', 'centralizer': '8.ce1', 'counter': 43, 'group_counter': 7530050, 'group_order': 512, 'label': '2AP', 'order': 2, 'powers': [1], 'representative': 41091256, 'size': 8}
  • id: 105695154
    {'aut_label': '2AN', 'centralizer': '8.ce1', 'counter': 44, 'group_counter': 7530050, 'group_order': 512, 'label': '2AQ', 'order': 2, 'powers': [1], 'representative': 41091263, 'size': 8}
  • id: 105695155
    {'aut_label': '4A', 'centralizer': '4.s1', 'counter': 45, 'group_counter': 7530050, 'group_order': 512, 'label': '4A', 'order': 4, 'powers': [12], 'representative': 11295360, 'size': 4}
  • id: 105695156
    {'aut_label': '4A', 'centralizer': '4.s1', 'counter': 46, 'group_counter': 7530050, 'group_order': 512, 'label': '4B', 'order': 4, 'powers': [12], 'representative': 11295367, 'size': 4}
  • id: 105695157
    {'aut_label': '4A', 'centralizer': '4.s1', 'counter': 47, 'group_counter': 7530050, 'group_order': 512, 'label': '4C', 'order': 4, 'powers': [12], 'representative': 11295376, 'size': 4}
  • id: 105695158
    {'aut_label': '4A', 'centralizer': '4.s1', 'counter': 48, 'group_counter': 7530050, 'group_order': 512, 'label': '4D', 'order': 4, 'powers': [12], 'representative': 11295383, 'size': 4}
  • id: 105695159
    {'aut_label': '4A', 'centralizer': '4.s1', 'counter': 49, 'group_counter': 7530050, 'group_order': 512, 'label': '4E', 'order': 4, 'powers': [12], 'representative': 90892800, 'size': 4}
  • id: 105695161
    {'aut_label': '4A', 'centralizer': '4.s1', 'counter': 50, 'group_counter': 7530050, 'group_order': 512, 'label': '4F', 'order': 4, 'powers': [12], 'representative': 90892807, 'size': 4}
  • id: 105695162
    {'aut_label': '4A', 'centralizer': '4.s1', 'counter': 51, 'group_counter': 7530050, 'group_order': 512, 'label': '4G', 'order': 4, 'powers': [12], 'representative': 90892816, 'size': 4}
  • id: 105695163
    {'aut_label': '4A', 'centralizer': '4.s1', 'counter': 52, 'group_counter': 7530050, 'group_order': 512, 'label': '4H', 'order': 4, 'powers': [12], 'representative': 90892823, 'size': 4}
  • id: 105695164
    {'aut_label': '4I', 'centralizer': '4.w1', 'counter': 53, 'group_counter': 7530050, 'group_order': 512, 'label': '4I', 'order': 4, 'powers': [8], 'representative': 132543487, 'size': 4}
  • id: 105695165
    {'aut_label': '4I', 'centralizer': '4.w1', 'counter': 54, 'group_counter': 7530050, 'group_order': 512, 'label': '4J', 'order': 4, 'powers': [8], 'representative': 132543496, 'size': 4}
  • id: 105695166
    {'aut_label': '4I', 'centralizer': '4.w1', 'counter': 55, 'group_counter': 7530050, 'group_order': 512, 'label': '4K', 'order': 4, 'powers': [8], 'representative': 132543503, 'size': 4}
  • id: 105695167
    {'aut_label': '4L', 'centralizer': '4.w1', 'counter': 56, 'group_counter': 7530050, 'group_order': 512, 'label': '4L', 'order': 4, 'powers': [8], 'representative': 132543480, 'size': 4}
  • id: 105695168
    {'aut_label': '4M', 'centralizer': '8.bq1', 'counter': 57, 'group_counter': 7530050, 'group_order': 512, 'label': '4M', 'order': 4, 'powers': [12], 'representative': 11422080, 'size': 8}
  • id: 105695169
    {'aut_label': '4M', 'centralizer': '8.bq1', 'counter': 58, 'group_counter': 7530050, 'group_order': 512, 'label': '4N', 'order': 4, 'powers': [12], 'representative': 11422087, 'size': 8}
  • id: 105695170
    {'aut_label': '4M', 'centralizer': '8.bq1', 'counter': 59, 'group_counter': 7530050, 'group_order': 512, 'label': '4O', 'order': 4, 'powers': [12], 'representative': 11422096, 'size': 8}
  • id: 105695172
    {'aut_label': '4M', 'centralizer': '8.bq1', 'counter': 60, 'group_counter': 7530050, 'group_order': 512, 'label': '4P', 'order': 4, 'powers': [12], 'representative': 11422103, 'size': 8}
  • id: 105695173
    {'aut_label': '4Q', 'centralizer': '8.cd1', 'counter': 61, 'group_counter': 7530050, 'group_order': 512, 'label': '4Q', 'order': 4, 'powers': [8], 'representative': 44730000, 'size': 8}
  • id: 105695174
    {'aut_label': '4Q', 'centralizer': '8.cd1', 'counter': 62, 'group_counter': 7530050, 'group_order': 512, 'label': '4R', 'order': 4, 'powers': [8], 'representative': 44730007, 'size': 8}
  • id: 105695175
    {'aut_label': '4Q', 'centralizer': '8.cd1', 'counter': 63, 'group_counter': 7530050, 'group_order': 512, 'label': '4S', 'order': 4, 'powers': [8], 'representative': 44730016, 'size': 8}
  • id: 105695176
    {'aut_label': '4Q', 'centralizer': '8.cd1', 'counter': 64, 'group_counter': 7530050, 'group_order': 512, 'label': '4T', 'order': 4, 'powers': [8], 'representative': 44730023, 'size': 8}
  • id: 105695177
    {'aut_label': '4M', 'centralizer': '8.bq1', 'counter': 65, 'group_counter': 7530050, 'group_order': 512, 'label': '4U', 'order': 4, 'powers': [12], 'representative': 132462720, 'size': 8}
  • id: 105695178
    {'aut_label': '4M', 'centralizer': '8.bq1', 'counter': 66, 'group_counter': 7530050, 'group_order': 512, 'label': '4V', 'order': 4, 'powers': [12], 'representative': 132462727, 'size': 8}
  • id: 105695179
    {'aut_label': '4M', 'centralizer': '8.bq1', 'counter': 67, 'group_counter': 7530050, 'group_order': 512, 'label': '4W', 'order': 4, 'powers': [12], 'representative': 132462736, 'size': 8}
  • id: 105695180
    {'aut_label': '4M', 'centralizer': '8.bq1', 'counter': 68, 'group_counter': 7530050, 'group_order': 512, 'label': '4X', 'order': 4, 'powers': [12], 'representative': 132462743, 'size': 8}
  • id: 105695181
    {'aut_label': '4Y', 'centralizer': '16.cy1', 'counter': 69, 'group_counter': 7530050, 'group_order': 512, 'label': '4Y', 'order': 4, 'powers': [35], 'representative': 41101200, 'size': 16}
  • id: 105695183
    {'aut_label': '4Y', 'centralizer': '16.cy1', 'counter': 70, 'group_counter': 7530050, 'group_order': 512, 'label': '4Z', 'order': 4, 'powers': [35], 'representative': 41101207, 'size': 16}
  • id: 105695184
    {'aut_label': '4Y', 'centralizer': '16.cy1', 'counter': 71, 'group_counter': 7530050, 'group_order': 512, 'label': '4AA', 'order': 4, 'powers': [35], 'representative': 41101216, 'size': 16}
  • id: 105695185
    {'aut_label': '4Y', 'centralizer': '16.cy1', 'counter': 72, 'group_counter': 7530050, 'group_order': 512, 'label': '4AB', 'order': 4, 'powers': [35], 'representative': 41101223, 'size': 16}
  • id: 105695186
    {'aut_label': '4Y', 'centralizer': '16.cy1', 'counter': 73, 'group_counter': 7530050, 'group_order': 512, 'label': '4AC', 'order': 4, 'powers': [36], 'representative': 48345120, 'size': 16}
  • id: 105695187
    {'aut_label': '4Y', 'centralizer': '16.cy1', 'counter': 74, 'group_counter': 7530050, 'group_order': 512, 'label': '4AD', 'order': 4, 'powers': [36], 'representative': 48345127, 'size': 16}
  • id: 105695188
    {'aut_label': '4Y', 'centralizer': '16.cy1', 'counter': 75, 'group_counter': 7530050, 'group_order': 512, 'label': '4AE', 'order': 4, 'powers': [36], 'representative': 48345136, 'size': 16}
  • id: 105695189
    {'aut_label': '4Y', 'centralizer': '16.cy1', 'counter': 76, 'group_counter': 7530050, 'group_order': 512, 'label': '4AF', 'order': 4, 'powers': [36], 'representative': 48345143, 'size': 16}
  • id: 105695190
    {'aut_label': '8A', 'centralizer': '16.de1', 'counter': 77, 'group_counter': 7530050, 'group_order': 512, 'label': '8A', 'order': 8, 'powers': [56], 'representative': 48350160, 'size': 16}
  • id: 105695191
    {'aut_label': '8A', 'centralizer': '16.de1', 'counter': 78, 'group_counter': 7530050, 'group_order': 512, 'label': '8B', 'order': 8, 'powers': [56], 'representative': 48350167, 'size': 16}
  • id: 105695192
    {'aut_label': '8A', 'centralizer': '16.de1', 'counter': 79, 'group_counter': 7530050, 'group_order': 512, 'label': '8C', 'order': 8, 'powers': [56], 'representative': 48350176, 'size': 16}
  • id: 105695194
    {'aut_label': '8A', 'centralizer': '16.de1', 'counter': 80, 'group_counter': 7530050, 'group_order': 512, 'label': '8D', 'order': 8, 'powers': [56], 'representative': 48350183, 'size': 16}
• gps_qchar •

  Column	Type
  cdim	integer
  counter	smallint
  faithful	boolean
  group	text
  group_order	numeric
  image	text
  label	text
  multiplicity	smallint
  nt	integer[]
  qdim	integer
  qvalues	integer[]
  schur_index	smallint

  
  
  • id: 3552583
    {'cdim': 1, 'counter': 1, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1a', 'multiplicity': 1, 'nt': [1, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3552594
    {'cdim': 1, 'counter': 2, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1b', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3552605
    {'cdim': 1, 'counter': 3, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1c', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3552616
    {'cdim': 1, 'counter': 4, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1d', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3552627
    {'cdim': 1, 'counter': 5, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1e', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3552638
    {'cdim': 1, 'counter': 6, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1f', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3552649
    {'cdim': 1, 'counter': 7, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1g', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3552660
    {'cdim': 1, 'counter': 8, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1h', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1], 'schur_index': 1}
  • id: 3552662
    {'cdim': 1, 'counter': 9, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1i', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1], 'schur_index': 1}
  • id: 3552584
    {'cdim': 1, 'counter': 10, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1j', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 3552585
    {'cdim': 1, 'counter': 11, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1k', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 3552586
    {'cdim': 1, 'counter': 12, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1l', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 3552587
    {'cdim': 1, 'counter': 13, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1m', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 3552588
    {'cdim': 1, 'counter': 14, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1n', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 3552589
    {'cdim': 1, 'counter': 15, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1o', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 3552590
    {'cdim': 1, 'counter': 16, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1p', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1], 'schur_index': 1}
  • id: 3552591
    {'cdim': 1, 'counter': 17, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1q', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, -1], 'schur_index': 1}
  • id: 3552592
    {'cdim': 1, 'counter': 18, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1r', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, -1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, 1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 3552593
    {'cdim': 1, 'counter': 19, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1s', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, -1, -1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, -1, 1, -1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 3552595
    {'cdim': 1, 'counter': 20, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1t', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 3552596
    {'cdim': 1, 'counter': 21, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1u', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 3552597
    {'cdim': 1, 'counter': 22, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1v', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 3552598
    {'cdim': 1, 'counter': 23, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1w', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, -1, 1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, -1, 1, -1, 1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 3552599
    {'cdim': 1, 'counter': 24, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1x', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, -1, 1, -1], 'schur_index': 1}
  • id: 3552600
    {'cdim': 1, 'counter': 25, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1y', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, -1, -1, -1, 1, 1, -1, -1, -1, -1, 1, 1, -1, 1, -1, 1], 'schur_index': 1}
  • id: 3552601
    {'cdim': 1, 'counter': 26, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1z', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3552602
    {'cdim': 1, 'counter': 27, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1aa', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3552603
    {'cdim': 1, 'counter': 28, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1ab', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, -1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3552604
    {'cdim': 1, 'counter': 29, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1ac', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, 1, 1, -1, -1, 1, 1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, 1, -1, 1, 1, -1, 1, -1, -1, 1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3552606
    {'cdim': 1, 'counter': 30, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1ad', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, -1, -1, -1, -1, -1, -1, -1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, -1, -1, -1, 1, -1, 1, -1, 1, -1, -1, 1, 1, -1, 1, -1, -1, 1, 1, 1, 1, 1], 'schur_index': 1}
  • id: 3552607
    {'cdim': 1, 'counter': 31, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1ae', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, -1, 1, -1, 1, 1, 1, 1, 1, -1, -1, -1, 1, 1, 1, -1, 1, 1, -1, 1, 1, -1, 1, -1, -1, 1, 1, -1, -1, -1, -1, -1, 1, -1, 1, -1, -1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3552608
    {'cdim': 1, 'counter': 32, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.1af', 'multiplicity': 1, 'nt': [2, 1], 'qdim': 1, 'qvalues': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1, 1, 1, 1, -1, 1, -1, 1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1], 'schur_index': 1}
  • id: 3552609
    {'cdim': 2, 'counter': 33, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2a', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 2, 2, 2, 0, 0, 0, -2, 0, -2, 2, -2, 2, 2, 0, 0, 0, -2, -2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552610
    {'cdim': 2, 'counter': 34, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2b', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, -2, 0, 0, -2, 0, 2, 2, 0, -2, -2, 2, 2, 2, 2, -2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552611
    {'cdim': 2, 'counter': 35, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2c', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 2, 0, 2, -2, 2, 0, 0, 2, 0, -2, -2, 0, -2, 2, -2, -2, -2, -2, -2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552612
    {'cdim': 2, 'counter': 36, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2d', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 2, 0, -2, -2, -2, 2, -2, 0, 0, 0, 2, 2, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552613
    {'cdim': 2, 'counter': 37, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2e', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, -2, -2, -2, -2, 0, 2, 2, 0, 2, -2, 0, 2, 2, 2, 0, 0, -2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, -2, -2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552614
    {'cdim': 2, 'counter': 38, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2f', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, -2, -2, 2, 2, -2, 2, -2, -2, 2, 2, 2, 0, 0, 0, -2, 2, 2, 2, 0, -2, 2, 0, 2, -2, 0, -2, -2, -2, 0, 0, -2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, -2, 2, 2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552615
    {'cdim': 2, 'counter': 39, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2g', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 2, -2, -2, 2, 0, -2, 2, 0, -2, -2, 0, 2, 2, -2, 0, 0, -2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 2, 2, -2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552617
    {'cdim': 2, 'counter': 40, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2h', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 2, 2, 2, -2, 0, 2, 2, 0, -2, -2, 0, -2, -2, 2, 0, 0, -2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 2, -2, 2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552618
    {'cdim': 2, 'counter': 41, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2i', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, -2, -2, 2, -2, 0, 0, 0, 2, 0, -2, -2, 2, 2, 2, 0, 0, 0, 2, -2, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552619
    {'cdim': 2, 'counter': 42, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2j', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, -2, 0, 0, 2, 0, -2, 2, 0, 2, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552620
    {'cdim': 2, 'counter': 43, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2k', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 2, 0, -2, -2, 2, 0, 0, -2, 0, 2, -2, 0, 2, -2, 2, -2, 2, -2, -2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552621
    {'cdim': 2, 'counter': 44, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2l', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, -2, 2, 2, -2, 2, -2, -2, 2, -2, 2, -2, 2, 2, 2, -2, -2, 0, 0, 0, -2, 0, -2, 2, 2, 2, -2, 0, 0, 0, -2, 2, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552622
    {'cdim': 2, 'counter': 45, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2m', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 2, -2, -2, 2, 0, 2, -2, 0, 2, -2, 0, -2, -2, 2, 0, 0, 2, 2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, -2, 2, 0, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552623
    {'cdim': 2, 'counter': 46, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2n', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, -2, 0, 0, 0, 2, 2, 2, -2, 0, -2, -2, 0, 2, -2, 0, 2, 2, -2, 0, 0, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 2, -2, 0, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552624
    {'cdim': 2, 'counter': 47, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2o', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, -2, 2, -2, -2, 0, 0, 0, 2, 0, 2, 2, -2, 2, -2, 0, 0, 0, 2, -2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552625
    {'cdim': 2, 'counter': 48, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2p', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, -2, 0, 0, 2, 0, 2, -2, 0, -2, -2, -2, 2, -2, 2, 2, 2, 2, -2, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552626
    {'cdim': 2, 'counter': 49, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2q', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, -2, 0, 2, -2, 2, 0, 0, -2, 0, -2, 2, 0, -2, 2, 2, -2, 2, -2, 2, -2, 2, 2, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552628
    {'cdim': 2, 'counter': 50, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2r', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, -2, -2, -2, 2, 2, -2, -2, 2, 2, -2, 2, 2, -2, 2, -2, 0, 0, 0, -2, 0, 2, -2, -2, 2, 2, 0, 0, 0, -2, 2, -2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 2, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552629
    {'cdim': 2, 'counter': 51, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2s', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, -2, -2, -2, 2, 0, 0, 0, -2, 0, 2, -2, 2, 2, -2, 0, 0, 0, -2, -2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552630
    {'cdim': 2, 'counter': 52, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2t', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, -2, 0, 0, -2, 0, -2, -2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552631
    {'cdim': 2, 'counter': 53, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2u', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, -2, 0, -2, -2, 2, 0, 0, 2, 0, 2, 2, 0, 2, -2, -2, -2, -2, -2, 2, -2, 2, -2, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552632
    {'cdim': 2, 'counter': 54, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2v', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, -2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, 0, 0, -2, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552633
    {'cdim': 2, 'counter': 55, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2w', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, -2, -2, -2, -2, 0, -2, -2, 0, -2, -2, 0, -2, -2, -2, 0, 0, 2, -2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552634
    {'cdim': 2, 'counter': 56, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.2x', 'multiplicity': 1, 'nt': [4, 3], 'qdim': 2, 'qvalues': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, -2, 2, 2, 2, 0, 2, -2, 0, -2, -2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, -2, -2, -2, 0, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552635
    {'cdim': 4, 'counter': 57, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4a', 'multiplicity': 1, 'nt': [8, 29], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, 4, -4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552636
    {'cdim': 4, 'counter': 58, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4b', 'multiplicity': 1, 'nt': [8, 29], 'qdim': 4, 'qvalues': [4, -4, -4, -4, 4, 4, -4, 4, 4, 4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552637
    {'cdim': 4, 'counter': 59, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4c', 'multiplicity': 1, 'nt': [8, 29], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, 4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552639
    {'cdim': 4, 'counter': 60, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4d', 'multiplicity': 1, 'nt': [8, 29], 'qdim': 4, 'qvalues': [4, -4, 4, 4, -4, 4, -4, -4, -4, 4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552640
    {'cdim': 4, 'counter': 61, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4e', 'multiplicity': 1, 'nt': [8, 29], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552641
    {'cdim': 4, 'counter': 62, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4f', 'multiplicity': 1, 'nt': [8, 29], 'qdim': 4, 'qvalues': [4, 4, -4, -4, -4, 4, 4, -4, 4, -4, -4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 0, -2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552642
    {'cdim': 4, 'counter': 63, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4g', 'multiplicity': 1, 'nt': [8, 29], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552643
    {'cdim': 4, 'counter': 64, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4h', 'multiplicity': 1, 'nt': [8, 29], 'qdim': 4, 'qvalues': [4, 4, 4, 4, 4, 4, 4, 4, -4, -4, -4, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552644
    {'cdim': 4, 'counter': 65, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4i', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, -2, 2, -2, 0, -2, 2, -2, -2, -2, 0, -2, 0, 0, 2, -2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552645
    {'cdim': 4, 'counter': 66, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4j', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, -2, 2, -2, 0, 2, -2, 2, -2, 2, 0, -2, 0, 0, 2, 2, -2, -2, 2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552646
    {'cdim': 4, 'counter': 67, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4k', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 2, -2, 2, 0, -2, 2, -2, 2, -2, 0, 2, 0, 0, -2, -2, 2, 2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, -2, -2, 2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552647
    {'cdim': 4, 'counter': 68, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4l', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, -4, -4, 4, 4, -4, 4, -4, 0, 0, 0, 0, 0, 2, -2, 2, 0, 2, -2, 2, 2, 2, 0, 2, 0, 0, -2, 2, -2, -2, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, 2, 2, -2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552648
    {'cdim': 4, 'counter': 69, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4m', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, -2, -2, -2, 0, -2, 2, 2, 2, 2, 0, 2, 0, 0, 2, -2, 2, -2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552650
    {'cdim': 4, 'counter': 70, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4n', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, -2, -2, -2, 0, 2, -2, -2, 2, -2, 0, 2, 0, 0, 2, 2, -2, 2, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552651
    {'cdim': 4, 'counter': 71, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4o', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, -2, 2, 2, -2, 2, 0, -2, 0, 0, -2, -2, 2, -2, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 2, 2, -2, -2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552652
    {'cdim': 4, 'counter': 72, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4p', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, -4, 4, -4, -4, -4, 4, 4, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, -2, -2, -2, -2, 0, -2, 0, 0, -2, 2, -2, 2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, -2, -2, 2, 2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552653
    {'cdim': 4, 'counter': 73, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4q', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, -2, 2, 2, 0, -2, 2, 2, 2, -2, 0, -2, 0, 0, -2, 2, -2, 2, -2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552654
    {'cdim': 4, 'counter': 74, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4r', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, -2, 2, 2, 0, 2, -2, -2, 2, 2, 0, -2, 0, 0, -2, -2, 2, -2, -2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552655
    {'cdim': 4, 'counter': 75, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4s', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 2, -2, -2, 0, -2, 2, 2, -2, -2, 0, 2, 0, 0, 2, 2, -2, 2, 2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, -2, -2, 0, -2, 0, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552656
    {'cdim': 4, 'counter': 76, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4t', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, 4, -4, 4, -4, -4, -4, 4, 0, 0, 0, 0, 0, 2, -2, -2, 0, 2, -2, -2, -2, 2, 0, 2, 0, 0, 2, -2, 2, -2, 2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, -2, 2, 2, 0, 2, 0, 2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552657
    {'cdim': 4, 'counter': 77, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4u', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, -2, -2, 2, 0, -2, 2, -2, -2, 2, 0, 2, 0, 0, -2, 2, -2, -2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552658
    {'cdim': 4, 'counter': 78, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4v', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, -2, -2, 2, 0, 2, -2, 2, -2, -2, 0, 2, 0, 0, -2, -2, 2, 2, 2, 2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552659
    {'cdim': 4, 'counter': 79, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4w', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 2, 2, -2, 0, -2, 2, -2, 2, 2, 0, -2, 0, 0, 2, 2, -2, -2, -2, -2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, -2, -2, 2, 0, 2, 0, -2, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
  • id: 3552661
    {'cdim': 4, 'counter': 80, 'faithful': False, 'group': '512.7530050', 'group_order': 512, 'image': None, 'label': '512.7530050.4x', 'multiplicity': 1, 'nt': [8, 35], 'qdim': 4, 'qvalues': [4, 4, 4, -4, 4, -4, -4, -4, 0, 0, 0, 0, 0, 2, 2, -2, 0, 2, -2, 2, 2, -2, 0, -2, 0, 0, 2, -2, 2, 2, -2, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, -2, 2, 2, -2, 0, -2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'schur_index': 1}
• gps_char •

  Column	Type
  center	text
  center_index	numeric
  center_order	numeric
  counter	smallint
  cyclotomic_n	integer
  dim	integer
  faithful	boolean
  field	numeric[]
  group	text
  group_counter	integer
  group_order	numeric
  image	text
  image_isoclass	text
  image_order	numeric
  indicator	smallint
  kernel	text
  kernel_order	numeric
  label	text
  nt	integer[]
  q_character	text
  values	jsonb

  
  
  • id: 5100924
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 1, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '1.1', 'image_order': 1, 'indicator': 1, 'kernel': '1.a1', 'kernel_order': 512, 'label': '512.7530050.1a', 'nt': [1, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5100943
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 27, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.e1', 'kernel_order': 256, 'label': '512.7530050.1aa', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5100944
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 28, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 256, 'label': '512.7530050.1ab', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5100945
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 29, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 256, 'label': '512.7530050.1ac', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5100947
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 30, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.c1', 'kernel_order': 256, 'label': '512.7530050.1ad', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5100948
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 31, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.b1', 'kernel_order': 256, 'label': '512.7530050.1ae', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5100949
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 32, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.d1', 'kernel_order': 256, 'label': '512.7530050.1af', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5100935
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 2, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1b', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5100946
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 3, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1c', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5100957
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 4, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1d', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5100968
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 5, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1e', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5100979
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 6, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1f', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5100990
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 7, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1g', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5101001
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 8, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1h', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]]]}
  • id: 5101003
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 9, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1i', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5100925
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 10, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1j', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5100926
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 11, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1k', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5100927
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 12, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1l', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5100928
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 13, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1m', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5100929
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 14, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1n', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5100930
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 15, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1o', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5100931
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 16, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1p', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5100932
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 17, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1q', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5100933
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 18, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1r', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5100934
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 19, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1s', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5100936
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 20, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1t', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5100937
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 21, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1u', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5100938
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 22, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1v', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5100939
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 23, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1w', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5100940
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 24, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1x', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]]]}
  • id: 5100941
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 25, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.a1', 'kernel_order': 256, 'label': '512.7530050.1y', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]]]}
  • id: 5100942
    {'center': '1.a1', 'center_index': 1, 'center_order': 512, 'counter': 26, 'cyclotomic_n': 1, 'dim': 1, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '2.1', 'image_order': 2, 'indicator': 1, 'kernel': '2.f1', 'kernel_order': 256, 'label': '512.7530050.1z', 'nt': [2, 1], 'q_character': None, 'values': [[[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]], [[-1, 0]]]}
  • id: 5100950
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 33, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2a', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100951
    {'center': '4.g1', 'center_index': 4, 'center_order': 128, 'counter': 34, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.g1', 'kernel_order': 64, 'label': '512.7530050.2b', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100952
    {'center': '4.g1', 'center_index': 4, 'center_order': 128, 'counter': 35, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.g1', 'kernel_order': 64, 'label': '512.7530050.2c', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100953
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 36, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2d', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100954
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 37, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2e', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100955
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 38, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2f', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100956
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 39, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2g', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100958
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 40, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2h', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100959
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 41, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2i', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100960
    {'center': '4.g1', 'center_index': 4, 'center_order': 128, 'counter': 42, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.g1', 'kernel_order': 64, 'label': '512.7530050.2j', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100961
    {'center': '4.g1', 'center_index': 4, 'center_order': 128, 'counter': 43, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.g1', 'kernel_order': 64, 'label': '512.7530050.2k', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100962
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 44, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2l', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100963
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 45, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2m', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100964
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 46, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2n', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100965
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 47, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2o', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100966
    {'center': '4.g1', 'center_index': 4, 'center_order': 128, 'counter': 48, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.g1', 'kernel_order': 64, 'label': '512.7530050.2p', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100967
    {'center': '4.g1', 'center_index': 4, 'center_order': 128, 'counter': 49, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.g1', 'kernel_order': 64, 'label': '512.7530050.2q', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100969
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 50, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.b1', 'kernel_order': 64, 'label': '512.7530050.2r', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100970
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 51, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.i1', 'kernel_order': 64, 'label': '512.7530050.2s', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100971
    {'center': '4.g1', 'center_index': 4, 'center_order': 128, 'counter': 52, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.l1', 'kernel_order': 64, 'label': '512.7530050.2t', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100972
    {'center': '4.g1', 'center_index': 4, 'center_order': 128, 'counter': 53, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.k1', 'kernel_order': 64, 'label': '512.7530050.2u', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100973
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 54, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.h1', 'kernel_order': 64, 'label': '512.7530050.2v', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100974
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 55, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.i1', 'kernel_order': 64, 'label': '512.7530050.2w', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100975
    {'center': '4.f1', 'center_index': 4, 'center_order': 128, 'counter': 56, 'cyclotomic_n': 1, 'dim': 2, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '8.3', 'image_order': 8, 'indicator': 1, 'kernel': '8.h1', 'kernel_order': 64, 'label': '512.7530050.2x', 'nt': [4, 3], 'q_character': None, 'values': [[[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100976
    {'center': '32.e1', 'center_index': 32, 'center_order': 16, 'counter': 57, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '64.138', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1', 'kernel_order': 8, 'label': '512.7530050.4a', 'nt': [8, 29], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100977
    {'center': '32.e1', 'center_index': 32, 'center_order': 16, 'counter': 58, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '64.138', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1', 'kernel_order': 8, 'label': '512.7530050.4b', 'nt': [8, 29], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100978
    {'center': '32.e1', 'center_index': 32, 'center_order': 16, 'counter': 59, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '64.138', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1', 'kernel_order': 8, 'label': '512.7530050.4c', 'nt': [8, 29], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100980
    {'center': '32.e1', 'center_index': 32, 'center_order': 16, 'counter': 60, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '64.138', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1', 'kernel_order': 8, 'label': '512.7530050.4d', 'nt': [8, 29], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100981
    {'center': '32.e1', 'center_index': 32, 'center_order': 16, 'counter': 61, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '64.138', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1', 'kernel_order': 8, 'label': '512.7530050.4e', 'nt': [8, 29], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100982
    {'center': '32.e1', 'center_index': 32, 'center_order': 16, 'counter': 62, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '64.138', 'image_order': 64, 'indicator': 1, 'kernel': '64.b1', 'kernel_order': 8, 'label': '512.7530050.4f', 'nt': [8, 29], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100983
    {'center': '32.e1', 'center_index': 32, 'center_order': 16, 'counter': 63, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '64.138', 'image_order': 64, 'indicator': 1, 'kernel': '64.c1', 'kernel_order': 8, 'label': '512.7530050.4g', 'nt': [8, 29], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100984
    {'center': '32.e1', 'center_index': 32, 'center_order': 16, 'counter': 64, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '64.138', 'image_order': 64, 'indicator': 1, 'kernel': '64.c1', 'kernel_order': 8, 'label': '512.7530050.4h', 'nt': [8, 29], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100985
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 65, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4i', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100986
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 66, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4j', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100987
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 67, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4k', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100988
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 68, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4l', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100989
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 69, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4m', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100991
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 70, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4n', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100992
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 71, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4o', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100993
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 72, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4p', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100994
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 73, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4q', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100995
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 74, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4r', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100996
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 75, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4s', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100997
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 76, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4t', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100998
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 77, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4u', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5100999
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 78, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4v', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5101000
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 79, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4w', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[0, 0]], [[2, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
  • id: 5101002
    {'center': '64.c1', 'center_index': 64, 'center_order': 8, 'counter': 80, 'cyclotomic_n': 1, 'dim': 4, 'faithful': False, 'field': [0, 1], 'group': '512.7530050', 'group_counter': 7530050, 'group_order': 512, 'image': None, 'image_isoclass': '128.928', 'image_order': 128, 'indicator': 1, 'kernel': '128.b1', 'kernel_order': 4, 'label': '512.7530050.4x', 'nt': [8, 35], 'q_character': None, 'values': [[[4, 0]], [[4, 0]], [[4, 0]], [[-4, 0]], [[4, 0]], [[-4, 0]], [[-4, 0]], [[-4, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[-2, 0]], [[-2, 0]], [[2, 0]], [[2, 0]], [[-2, 0]], [[0, 0]], [[-2, 0]], [[0, 0]], [[2, 0]], [[2, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]], [[0, 0]]]}
• 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: 59345368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 512, 'counter': 1, 'cyclic': False, 'direct': True, 'hall': 2, 'label': '512.7530050.1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '1.a1', 'outer_equivalence': True, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': True, 'special_labels': ['F', 'R', 'U0', 'L0', 'D0', 'C0'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '512.7530050', 'subgroup_hash': 6209376761179717675, 'subgroup_order': 512, 'subgroup_tex': 'D_4^2:C_2^3', 'supersolvable': True, 'sylow': 2}
  • id: 59345479
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 256, 'counter': 2, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '512.7530050.2.a1', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': ['C1'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.26531', 'subgroup_hash': 26531, 'subgroup_order': 256, 'subgroup_tex': 'D_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345590
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 256, 'counter': 3, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.2.b1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.53380', 'subgroup_hash': 53380, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345701
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 256, 'counter': 4, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.2.c1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.26329', 'subgroup_hash': 26329, 'subgroup_order': 256, 'subgroup_tex': 'C_2^6:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345779
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 256, 'counter': 5, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.2.d1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.55683', 'subgroup_hash': 55683, 'subgroup_order': 256, 'subgroup_tex': 'C_2^2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345790
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 256, 'counter': 6, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.2.e1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.53366', 'subgroup_hash': 53366, 'subgroup_order': 256, 'subgroup_tex': 'C_4^2:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345801
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 256, 'counter': 7, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.2.f1', 'maximal': True, 'maximal_normal': True, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '2.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': 1, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '256.26340', 'subgroup_hash': 26340, 'subgroup_order': 256, 'subgroup_tex': 'C_2^5.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345812
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 128, 'counter': 8, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345823
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 128, 'counter': 9, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.850', 'subgroup_hash': 850, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 10, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.2194', 'subgroup_hash': 2194, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 128, 'counter': 11, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.1746', 'subgroup_hash': 1746, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 128, 'counter': 12, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.856', 'subgroup_hash': 856, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 128, 'counter': 13, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 128, 'counter': 14, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '128.2172', 'subgroup_hash': 2172, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 128, 'counter': 15, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.2323', 'subgroup_hash': 2323, 'subgroup_order': 128, 'subgroup_tex': 'D_4:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345435
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 128, 'counter': 16, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': 1613, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345446
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': True, 'core_order': 128, 'counter': 17, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.4.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.1617', 'subgroup_hash': 1617, 'subgroup_order': 128, 'subgroup_tex': '\\OD_{16}:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345457
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': True, 'centralizer_order': 8, 'characteristic': False, 'core_order': 128, 'counter': 18, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '512.7530050.4.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '4.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 2, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['C2'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '128.928', 'subgroup_hash': 928, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\wr D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345468
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1755', 'subgroup_hash': 1755, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345480
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2194', 'subgroup_hash': 2194, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345491
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2194', 'subgroup_hash': 2194, 'subgroup_order': 128, 'subgroup_tex': 'C_2\\times D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345502
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1746', 'subgroup_hash': 1746, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345513
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2164', 'subgroup_hash': 2164, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345524
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345535
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2163', 'subgroup_hash': 2163, 'subgroup_order': 128, 'subgroup_tex': 'C_2^4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345546
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 64, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2154', 'subgroup_hash': 2154, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345557
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 64, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2320', 'subgroup_hash': 2320, 'subgroup_order': 128, 'subgroup_tex': 'D_4\\times C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345568
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1613', 'subgroup_hash': 1613, 'subgroup_order': 128, 'subgroup_tex': 'C_2^5:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345579
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.2310', 'subgroup_hash': 2310, 'subgroup_order': 128, 'subgroup_tex': 'C_8:C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345591
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.4.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '4.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '128.1631', 'subgroup_hash': 1631, 'subgroup_order': 128, 'subgroup_tex': 'C_4^2:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345602
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 31, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345613
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 32, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345624
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 33, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.211', 'subgroup_hash': 211, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345635
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 34, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345646
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 35, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345657
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 36, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345668
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 37, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.211', 'subgroup_hash': 211, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345679
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 64, 'counter': 38, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59345690
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 39, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345702
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 64, 'counter': 40, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['U1'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345713
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 64, 'counter': 41, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345724
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 64, 'counter': 42, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 3, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.192', 'subgroup_hash': 192, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345735
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 43, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345746
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 44, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.32', 'subgroup_hash': 32, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345757
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 64, 'counter': 45, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C3'], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345768
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 46, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.134', 'subgroup_hash': 134, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345776
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 64, 'counter': 47, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.8.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '8.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '8.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 5, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '64.34', 'subgroup_hash': 34, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345777
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.203', 'subgroup_hash': 203, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345778
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.203', 'subgroup_hash': 203, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345780
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345781
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345782
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345783
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345784
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345785
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 32, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': 196, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345786
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.196', 'subgroup_hash': 196, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345787
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 32, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345788
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345789
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345791
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.211', 'subgroup_hash': 211, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345792
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345793
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.90', 'subgroup_hash': 90, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345794
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345795
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.92', 'subgroup_hash': 92, 'subgroup_order': 64, 'subgroup_tex': '\\OD_{16}:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345796
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.254', 'subgroup_hash': 254, 'subgroup_order': 64, 'subgroup_tex': 'C_8:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345797
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.101', 'subgroup_hash': 101, 'subgroup_order': 64, 'subgroup_tex': 'C_4^2:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345798
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.202', 'subgroup_hash': 202, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345799
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.264', 'subgroup_hash': 264, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345800
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.254', 'subgroup_hash': 254, 'subgroup_order': 64, 'subgroup_tex': 'C_8:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345802
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345803
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 32, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345804
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345805
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.260', 'subgroup_hash': 260, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345806
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 32, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345807
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.267', 'subgroup_hash': 267, 'subgroup_order': 64, 'subgroup_tex': 'C_2^6', 'supersolvable': True, 'sylow': 0}
  • id: 59345808
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345809
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 32, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345810
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345811
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345813
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345814
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.263', 'subgroup_hash': 263, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345815
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.194', 'subgroup_hash': 194, 'subgroup_order': 64, 'subgroup_tex': 'C_2^3.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345816
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.247', 'subgroup_hash': 247, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59345817
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345818
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.193', 'subgroup_hash': 193, 'subgroup_order': 64, 'subgroup_tex': 'C_2^4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345819
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.263', 'subgroup_hash': 263, 'subgroup_order': 64, 'subgroup_tex': 'D_4:C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345820
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.261', 'subgroup_hash': 261, 'subgroup_order': 64, 'subgroup_tex': 'D_4\\times C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345821
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.250', 'subgroup_hash': 250, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345822
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 8, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.251', 'subgroup_hash': 251, 'subgroup_order': 64, 'subgroup_tex': 'C_2^2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59345824
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.138', 'subgroup_hash': 138, 'subgroup_order': 64, 'subgroup_tex': 'C_2\\wr C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345825
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345826
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345827
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.226', 'subgroup_hash': 226, 'subgroup_order': 64, 'subgroup_tex': 'D_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345828
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.8.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '8.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '64.134', 'subgroup_hash': 134, 'subgroup_order': 64, 'subgroup_tex': 'D_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345829
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 32, 'counter': 95, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345830
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 96, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345831
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 97, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345832
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 98, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345833
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 99, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 100, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345371
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 32, 'counter': 101, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345372
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 32, 'counter': 102, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345373
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 32, 'counter': 103, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 104, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 105, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': ['C4'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 106, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.11', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 11, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 32, 'counter': 107, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 108, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 109, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 32, 'counter': 110, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.16.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '16.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '16.14', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 14, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 16, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345387
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345390
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345392
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.23', 'subgroup_hash': 23, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2.D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345406
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.21', 'subgroup_hash': 21, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59345408
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345409
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bq2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bq2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bu2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bu2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.37', 'subgroup_hash': 37, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59345419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.22', 'subgroup_hash': 22, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.48', 'subgroup_hash': 48, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345427
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345428
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.39', 'subgroup_hash': 39, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times D_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345429
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.40', 'subgroup_hash': 40, 'subgroup_order': 32, 'subgroup_tex': 'C_2\\times \\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59345430
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345431
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345432
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345433
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345434
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345436
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345437
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345438
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345439
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345440
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345441
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345442
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 16, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345443
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345444
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345445
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345447
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345448
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.51', 'subgroup_hash': 51, 'subgroup_order': 32, 'subgroup_tex': 'C_2^5', 'supersolvable': True, 'sylow': 0}
  • id: 59345449
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345450
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345451
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345452
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345453
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.45', 'subgroup_hash': 45, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345454
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345455
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.47', 'subgroup_hash': 47, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345456
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.36', 'subgroup_hash': 36, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345458
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345459
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345460
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345461
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345462
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 4, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.43', 'subgroup_hash': 43, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345463
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345464
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.28', 'subgroup_hash': 28, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345465
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345466
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345467
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345469
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345470
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345471
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.27', 'subgroup_hash': 27, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345472
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345473
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.25', 'subgroup_hash': 25, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345474
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345475
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 16, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.46', 'subgroup_hash': 46, 'subgroup_order': 32, 'subgroup_tex': 'C_2^2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345476
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345477
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345478
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345481
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.34', 'subgroup_hash': 34, 'subgroup_order': 32, 'subgroup_tex': 'C_4:D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345482
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345483
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.49', 'subgroup_hash': 49, 'subgroup_order': 32, 'subgroup_tex': 'D_4:C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345484
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.7', 'subgroup_hash': 7, 'subgroup_order': 32, 'subgroup_tex': '\\OD_{16}:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345485
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.6', 'subgroup_hash': 6, 'subgroup_order': 32, 'subgroup_tex': 'C_2^3:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345486
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 16, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.43', 'subgroup_hash': 43, 'subgroup_order': 32, 'subgroup_tex': 'D_8:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345487
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.16.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '16.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '32.11', 'subgroup_hash': 11, 'subgroup_order': 32, 'subgroup_tex': 'C_4\\wr C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345488
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 207, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345489
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 208, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345490
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 209, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345492
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 210, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345493
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 16, 'counter': 211, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': ['U2'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345494
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 212, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345495
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 213, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345496
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 214, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.27', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 27, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\wr C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345497
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 215, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345498
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 216, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345499
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': True, 'core_order': 16, 'counter': 217, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.51', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': 51, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5', 'simple': False, 'solvable': True, 'special_labels': ['D', 'Phi', 'L1', 'D1', 'C5'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345500
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 16, 'counter': 218, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345501
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 16, 'counter': 219, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.32.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '32.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '32.46', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 46, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 32, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2\\times D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345503
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345504
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345505
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345506
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345507
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345508
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345509
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345510
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345511
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345512
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345514
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345515
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345516
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345517
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345518
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345519
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345520
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345521
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345522
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345523
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345525
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345526
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345527
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345528
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345529
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345530
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345531
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345532
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345533
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345534
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345536
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345537
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345538
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345539
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345540
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345541
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345542
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345543
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345544
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345545
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345547
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345548
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345549
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345550
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.5', 'subgroup_hash': 5, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345551
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.12', 'subgroup_hash': 12, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345552
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345553
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345554
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345555
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345556
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345558
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345559
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345560
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cl2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cl2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345561
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345562
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345563
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345564
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345565
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345566
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345567
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345569
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 8, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345570
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345571
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345572
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345573
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345574
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345575
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cy2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cy2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345576
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345577
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345578
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345580
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345581
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345582
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345583
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345584
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345585
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dg2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dg2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345586
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345587
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.di1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.di1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59345588
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345589
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345592
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345593
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.10', 'subgroup_hash': 10, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345594
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345595
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.do1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.do1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345596
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345597
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.14', 'subgroup_hash': 14, 'subgroup_order': 16, 'subgroup_tex': 'C_2^4', 'supersolvable': True, 'sylow': 0}
  • id: 59345598
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345599
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ds1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ds1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345600
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345601
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.du1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.du1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345603
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 8, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345604
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345605
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345606
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 4, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345607
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.dz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.dz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345608
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ea1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ea1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345609
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.eb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.eb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345610
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ec1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ec1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.4', 'subgroup_hash': 4, 'subgroup_order': 16, 'subgroup_tex': 'C_4:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345611
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ed1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ed1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.2', 'subgroup_hash': 2, 'subgroup_order': 16, 'subgroup_tex': 'C_4^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345612
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 8, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ee1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ee1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.6', 'subgroup_hash': 6, 'subgroup_order': 16, 'subgroup_tex': '\\OD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59345614
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ef1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ef1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345615
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.eg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.eg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.3', 'subgroup_hash': 3, 'subgroup_order': 16, 'subgroup_tex': 'C_2^2:C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345616
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.eh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.eh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345617
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ei1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ei1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345618
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ej1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ej1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345619
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ek1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ek1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345620
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.el1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.el1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345621
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.em1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.em1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345622
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.en1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.en1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.13', 'subgroup_hash': 13, 'subgroup_order': 16, 'subgroup_tex': 'D_4:C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345623
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.eo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.eo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345625
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.ep1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.ep1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.7', 'subgroup_hash': 7, 'subgroup_order': 16, 'subgroup_tex': 'D_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345626
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 8, 'characteristic': False, 'core_order': 2, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.eq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.eq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.8', 'subgroup_hash': 8, 'subgroup_order': 16, 'subgroup_tex': '\\SD_{16}', 'supersolvable': True, 'sylow': 0}
  • id: 59345627
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.er1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.er1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345628
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.32.es1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '32.es1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '16.11', 'subgroup_hash': 11, 'subgroup_order': 16, 'subgroup_tex': 'C_2\\times D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345629
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 334, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.64.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345630
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 8, 'counter': 335, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.64.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345631
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 8, 'counter': 336, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.64.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.138', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 138, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr C_2^2', 'simple': False, 'solvable': True, 'special_labels': ['Z', 'S', 'U3'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345632
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 337, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.64.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345633
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 338, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.64.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 261, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['C6'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345634
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 8, 'counter': 339, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.64.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.202', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 202, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^3:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345636
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': True, 'core_order': 8, 'counter': 340, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.64.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '64.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '64.261', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 261, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 64, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4\\times C_2^3', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345637
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345638
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.h2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.h2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345639
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345640
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345641
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345642
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345643
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345644
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345645
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345647
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345648
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345649
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.q2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.q2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345650
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345651
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345652
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345653
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345654
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345655
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345656
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345658
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345659
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345660
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345661
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345662
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345663
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345664
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345665
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345666
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345667
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345669
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345670
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345671
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bk1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bk1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345672
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345673
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345674
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345675
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bo1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bo1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345676
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345677
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345678
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.br1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.br1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345680
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 4, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345681
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 4, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bt1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bt1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345682
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 4, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345683
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345684
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345685
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345686
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.by1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.by1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345687
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.bz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.bz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345688
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.ca1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ca1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345689
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345691
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345692
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345693
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.ce1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ce1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345694
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345695
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345696
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.ch1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ch1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345697
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.ci1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ci1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345698
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cj1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cj1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345699
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 2, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.ck1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ck1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345700
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cl1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cl1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345703
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cm1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cm1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345704
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cn1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cn1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345705
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.co1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.co1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345706
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cp1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cp1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345707
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cq1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cq1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.4', 'subgroup_hash': 4, 'subgroup_order': 8, 'subgroup_tex': 'Q_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345708
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 2, 'counter': 405, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cr1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cr1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.1', 'subgroup_hash': 1, 'subgroup_order': 8, 'subgroup_tex': 'C_8', 'supersolvable': True, 'sylow': 0}
  • id: 59345709
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cs1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cs1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345710
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.ct1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.ct1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345711
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 408, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cu1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cu1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345712
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 409, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cv1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cv1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345714
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 410, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cw1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cw1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345715
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 411, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cx1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cx1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345716
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 412, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cy1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cy1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.2', 'subgroup_hash': 2, 'subgroup_order': 8, 'subgroup_tex': 'C_2\\times C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345717
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 413, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.cz1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.cz1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345718
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 414, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.da1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.da1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345719
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 415, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.db1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.db1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.5', 'subgroup_hash': 5, 'subgroup_order': 8, 'subgroup_tex': 'C_2^3', 'supersolvable': True, 'sylow': 0}
  • id: 59345720
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 416, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.dc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.dc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345721
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 417, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.dd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.dd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345722
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 418, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.de1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.de1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345723
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 16, 'characteristic': False, 'core_order': 1, 'counter': 419, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.64.df1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '64.df1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '8.3', 'subgroup_hash': 3, 'subgroup_order': 8, 'subgroup_tex': 'D_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345725
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 420, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.128.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345726
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 4, 'counter': 421, 'cyclic': False, 'direct': True, 'hall': 0, 'label': '512.7530050.128.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.928', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 928, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\wr D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345727
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 4, 'counter': 422, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.128.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.1755', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 1755, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': [], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345728
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': True, 'core_order': 4, 'counter': 423, 'cyclic': False, 'direct': False, 'hall': 0, 'label': '512.7530050.128.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '128.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '128.2163', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 2163, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 128, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^4:D_4', 'simple': False, 'solvable': True, 'special_labels': ['L2', 'C7'], 'split': False, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345729
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 424, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345730
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 2, 'counter': 425, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345731
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 426, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345732
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 427, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345733
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 428, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345734
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 429, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.j1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.j1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345736
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 430, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.k1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.k1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345737
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 431, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.l1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.l1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345738
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 432, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.m1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.m1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345739
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 433, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.n1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.n1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345740
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 434, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.o1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.o1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345741
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 435, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.p1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.p1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345742
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 436, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.128.q1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.q1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345743
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 2, 'counter': 437, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.128.r1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.r1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345744
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 2, 'counter': 438, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.128.s1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.s1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345745
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 439, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.t1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.t1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345747
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 440, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.u1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.u1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345748
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 441, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.v1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.v1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345749
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 442, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.w1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.w1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345750
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 443, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.x1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.x1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345751
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 444, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.x2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.x2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345752
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 445, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.y1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.y1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345753
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 446, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.z1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.z1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345754
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 447, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.ba1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.ba1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345755
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 448, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.128.bb1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.bb1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345756
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 449, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.128.bc1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.bc1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345758
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 450, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.bd1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.bd1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345759
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 451, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.be1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.be1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345760
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 452, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.be2', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.be2', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345761
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 453, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.bf1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.bf1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345762
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 454, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.bg1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.bg1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345763
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 455, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '512.7530050.128.bh1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.bh1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.2', 'subgroup_hash': 2, 'subgroup_order': 4, 'subgroup_tex': 'C_2^2', 'supersolvable': True, 'sylow': 0}
  • id: 59345764
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 32, 'characteristic': False, 'core_order': 1, 'counter': 456, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.128.bi1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '128.bi1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 128, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4.1', 'subgroup_hash': 1, 'subgroup_order': 4, 'subgroup_tex': 'C_4', 'supersolvable': True, 'sylow': 0}
  • id: 59345765
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': False, 'core_order': 2, 'counter': 457, 'cyclic': True, 'direct': True, 'hall': 0, 'label': '512.7530050.256.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '256.a1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.26531', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 26531, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^2', 'simple': True, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345766
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 2, 'counter': 458, 'cyclic': True, 'direct': False, 'hall': 0, 'label': '512.7530050.256.b1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': True, 'nilpotent': True, 'normal': True, 'old_label': '256.b1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': '256.53380', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 53380, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 256, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^5:D_4', 'simple': True, 'solvable': True, 'special_labels': ['L3', 'D2', 'C8'], 'split': False, 'standard_generators': False, 'stem': True, 'subgroup': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345767
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 459, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.256.c1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.c1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, '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': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345769
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 256, 'characteristic': False, 'core_order': 1, 'counter': 460, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.256.d1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.d1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, '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': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345770
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 461, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.256.e1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.e1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, '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': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345771
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 462, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.256.f1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.f1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, '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': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345772
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 128, 'characteristic': False, 'core_order': 1, 'counter': 463, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.256.g1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.g1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, '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': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345773
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 464, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.256.h1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.h1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, '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': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345774
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': False, 'central_factor': False, 'centralizer_order': 64, 'characteristic': False, 'core_order': 1, 'counter': 465, 'cyclic': True, 'direct': None, 'hall': 0, 'label': '512.7530050.256.i1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': True, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '256.i1', 'outer_equivalence': True, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 256, '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': '2.1', 'subgroup_hash': 1, 'subgroup_order': 2, 'subgroup_tex': 'C_2', 'supersolvable': True, 'sylow': 0}
  • id: 59345775
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '512.7530050', 'ambient_counter': 7530050, 'ambient_order': 512, 'ambient_tex': 'D_4^2:C_2^3', 'central': True, 'central_factor': False, 'centralizer_order': 512, 'characteristic': True, 'core_order': 1, 'counter': 466, 'cyclic': True, 'direct': True, 'hall': 1, 'label': '512.7530050.512.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '512.a1', 'outer_equivalence': True, 'perfect': True, 'proper': False, 'quotient': '512.7530050', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': 6209376761179717675, 'quotient_metabelian': False, 'quotient_nilpotent': True, 'quotient_order': 512, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4^2:C_2^3', 'simple': False, 'solvable': True, 'special_labels': ['PC', 'U4', 'L4', 'D3', 'C9'], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': 1, '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: 59345368
    {'ambient': '512.7530050', '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': '64.c1', 'complements': ['512.a1'], 'conjugacy_class_count': 1, 'contained_in': [], 'contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1'], 'core': '1.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [4232, 4417, 4239, 4418], 'generators': [139725360, 90882847, 83473200, 94525327, 94399200, 177960, 94525336, 94525320, 41141527], 'label': '512.7530050.1.a1', 'mobius_quo': 0, 'mobius_sub': 1, 'normal_closure': '1.a1', 'normal_contained_in': [], 'normal_contains': ['2.a1', '2.b1', '2.c1', '2.d1', '2.e1', '2.f1'], 'normalizer': '1.a1', 'old_label': '1.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345369
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['128.k1', '128.bg1'], 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '2.d1'], 'contains': ['8.a1', '8.c1', '8.o1', '8.r1', '8.w1', '8.y1', '8.ba1', '8.ci1', '8.ck1'], 'core': '4.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [7817, 5176, 7832, 5180], 'generators': [94525327, 83473200, 94399200, 90882847, 177960, 94525320, 139725360], 'label': '512.7530050.4.c1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.c1', 'normal_contained_in': ['2.a1', '2.d1'], 'normal_contains': ['8.a1', '8.c1', '8.o1'], 'normalizer': '1.a1', 'old_label': '4.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345370
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['32.z1'], 'conjugacy_class_count': 6, 'contained_in': ['8.c1', '8.g1', '8.k1', '8.w1', '8.bi1'], 'contains': ['32.c1', '32.l1', '32.bb1', '32.bx1', '32.de1', '32.dz1'], 'core': '16.f1', 'coset_action_label': None, 'count': 6, 'diagramx': [5248, 3592, 5259, 3595], 'generators': [94525327, 139795320, 302279880, 18684727, 94525320], 'label': '512.7530050.16.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': ['8.c1', '8.g1', '8.k1'], 'normal_contains': ['32.c1', '32.l1'], 'normalizer': '1.a1', 'old_label': '16.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345371
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': ['32.z1'], 'conjugacy_class_count': 6, 'contained_in': ['8.c1', '8.g1', '8.l1', '8.y1', '8.bj1'], 'contains': ['32.c1', '32.m1', '32.bd1', '32.ed1'], 'core': '16.g1', 'coset_action_label': None, 'count': 6, 'diagramx': [5652, 3024, 5663, 3026], 'generators': [94525327, 139795320, 302279880, 94525320, 90892807], 'label': '512.7530050.16.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.g1', 'normal_contained_in': ['8.c1', '8.g1', '8.l1'], 'normal_contains': ['32.c1', '32.m1'], 'normalizer': '1.a1', 'old_label': '16.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345372
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '8.i1', '8.j1', '8.bo1', '8.bu1', '8.bv1', '8.bw1'], 'contains': ['32.a1', '32.b1', '32.e1', '32.bg1', '32.ch1', '32.cq1'], 'core': '16.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [5725, 1458, 5736, 1459], 'generators': [94525327, 83473200, 177960, 94525320, 94525336], 'label': '512.7530050.16.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.h1', 'normal_contained_in': ['8.h1', '8.i1', '8.j1'], 'normal_contains': ['32.a1', '32.b1', '32.e1'], 'normalizer': '1.a1', 'old_label': '16.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345373
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['8.j1', '8.k1', '8.l1', '8.br1', '8.by1', '8.ca1'], 'contains': ['32.c1', '32.d1', '32.e1', '32.bj1', '32.ct1'], 'core': '16.i1', 'coset_action_label': None, 'count': 1, 'diagramx': [3970, 1028, 3978, 1028], 'generators': [94525327, 139795320, 302279880, 94525320, 94525336], 'label': '512.7530050.16.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.i1', 'normal_contained_in': ['8.j1', '8.k1', '8.l1'], 'normal_contains': ['32.c1', '32.d1', '32.e1'], 'normalizer': '1.a1', 'old_label': '16.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345374
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['32.z1'], 'conjugacy_class_count': 24, 'contained_in': ['8.a1', '8.b1', '8.ch1', '8.ci1'], 'contains': ['32.f1', '32.g1', '32.j1', '32.dj1', '32.dn1'], 'core': '16.j1', 'coset_action_label': None, 'count': 24, 'diagramx': [6221, 6056, 6232, 6060], 'generators': [90882847, 83629560, 94525320, 15049567, 139725360], 'label': '512.7530050.16.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.j1', 'normal_contained_in': ['8.a1', '8.b1'], 'normal_contains': ['32.f1', '32.g1', '32.j1'], 'normalizer': '1.a1', 'old_label': '16.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345375
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 8, 'contained_in': ['8.a1', '8.m1', '8.n1', '8.o1'], 'contains': ['32.f1', '32.j1', '32.k1', '32.dk1', '32.do1'], 'core': '16.k1', 'coset_action_label': None, 'count': 8, 'diagramx': [6016, 7050, 6029, 7056], 'generators': [83473200, 18558000, 177960, 94525320, 139725360], 'label': '512.7530050.16.k1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.k1', 'normal_contained_in': ['8.a1', '8.m1', '8.n1', '8.o1'], 'normal_contains': ['32.f1', '32.j1', '32.k1'], 'normalizer': '1.a1', 'old_label': '16.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345376
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['32.z1'], 'conjugacy_class_count': 12, 'contained_in': ['8.c1', '8.g1', '8.ck1', '8.cl1'], 'contains': ['32.i1', '32.l1', '32.m1', '32.ds1'], 'core': '16.l1', 'coset_action_label': None, 'count': 12, 'diagramx': [5422, 4041, 5432, 4044], 'generators': [139795320, 302279880, 18684727, 94525320, 15049567], 'label': '512.7530050.16.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.l1', 'normal_contained_in': ['8.c1', '8.g1'], 'normal_contains': ['32.i1', '32.l1', '32.m1'], 'normalizer': '1.a1', 'old_label': '16.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345377
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 4, 'contained_in': ['8.c1', '8.o1', '8.p1', '8.q1'], 'contains': ['32.k1', '32.l1', '32.m1', '32.dv1'], 'core': '16.m1', 'coset_action_label': None, 'count': 4, 'diagramx': [5479, 6573, 5489, 6578], 'generators': [83473200, 90761040, 177960, 94525320, 139725360], 'label': '512.7530050.16.m1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.m1', 'normal_contained_in': ['8.c1', '8.o1', '8.p1', '8.q1'], 'normal_contains': ['32.k1', '32.l1', '32.m1'], 'normalizer': '1.a1', 'old_label': '16.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345378
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['32.cm1', '32.y1'], 'conjugacy_class_count': 4, 'contained_in': ['8.d1', '8.m1', '8.p1'], 'contains': ['32.k1', '32.dw1', '32.eb1', '32.en1', '32.eo1'], 'core': '16.n1', 'coset_action_label': None, 'count': 4, 'diagramx': [919, 8200, 921, 8206], 'generators': [83473200, 207290280, 177960, 94525320, 139725360], 'label': '512.7530050.16.n1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.n1', 'normal_contained_in': ['8.d1', '8.m1', '8.p1'], 'normal_contains': ['32.k1'], 'normalizer': '1.a1', 'old_label': '16.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345379
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['32.cm1', '32.y1'], 'conjugacy_class_count': 8, 'contained_in': ['8.e1', '8.m1', '8.n1', '8.q1'], 'contains': ['32.k1', '32.dx1'], 'core': '16.o1', 'coset_action_label': None, 'count': 8, 'diagramx': [3887, 8646, 3895, 8652], 'generators': [83473200, 48390487, 177960, 94525320, 139725360], 'label': '512.7530050.16.o1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.o1', 'normal_contained_in': ['8.e1', '8.m1', '8.n1', '8.q1'], 'normal_contains': ['32.k1'], 'normalizer': '1.a1', 'old_label': '16.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345399
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.i1', '8.s1', '8.u1', '8.v1'], 'contains': ['32.b1', '32.be1', '32.du1'], 'core': '32.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6709, -1, 6723, -1], 'generators': [83629560, 98017927, 94525320, 295108687, 94525336], 'label': '512.7530050.16.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345380
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['128.bf1', '128.t1', '128.g1', '128.bd1'], 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '2.e1'], 'contains': ['8.c1', '8.d1', '8.f1', '8.p1', '8.bi1', '8.bj1', '8.cl1'], 'core': '4.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [1498, 5674, 1501, 5679], 'generators': [139725360, 83473200, 177960, 94525320, 94525336, 18684727, 207290280], 'label': '512.7530050.4.d1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.d1', 'normal_contained_in': ['2.a1', '2.e1'], 'normal_contains': ['8.c1', '8.d1', '8.f1', '8.p1'], 'normalizer': '1.a1', 'old_label': '4.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345381
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['32.cm1', '32.y1'], 'conjugacy_class_count': 4, 'contained_in': ['8.f1', '8.n1', '8.p1'], 'contains': ['32.k1', '32.ee1'], 'core': '16.p1', 'coset_action_label': None, 'count': 4, 'diagramx': [1503, 7718, 1506, 7725], 'generators': [83473200, 221881687, 177960, 94525320, 139725360], 'label': '512.7530050.16.p1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.p1', 'normal_contained_in': ['8.f1', '8.n1', '8.p1'], 'normal_contains': ['32.k1'], 'normalizer': '1.a1', 'old_label': '16.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345382
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 192, 'contained_in': ['8.ba1', '8.bn1'], 'contains': ['32.n1', '32.p1', '32.q1', '32.r1', '32.t1', '32.u1', '32.v1', '32.er1', '32.es1'], 'core': '256.a1', 'coset_action_label': None, 'count': 768, 'diagramx': [9841, -1, 9860, -1], 'generators': [94525327, 83473200, 94399200, 90882847, 94394160], 'label': '512.7530050.16.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '16.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345383
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 192, 'contained_in': ['8.bb1', '8.bn1'], 'contains': ['32.o1', '32.p1', '32.q1', '32.s1', '32.t1', '32.u1', '32.w1', '32.er1'], 'core': '256.a1', 'coset_action_label': None, 'count': 768, 'diagramx': [9745, -1, 9763, -1], 'generators': [94399200, 90882847, 14928480, 94394167, 94525336], 'label': '512.7530050.16.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '16.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345384
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.a1', '8.r1', '8.u1', '8.ba1', '8.bo1'], 'contains': ['32.a1', '32.n1', '32.ba1', '32.be1', '32.dj1', '32.dk1'], 'core': '32.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7967, -1, 7982, -1], 'generators': [94525327, 83473200, 90882847, 177960, 94525320], 'label': '512.7530050.16.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345385
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.b1', '8.s1', '8.v1', '8.bb1', '8.bo1'], 'contains': ['32.b1', '32.o1', '32.ba1', '32.be1', '32.dj1'], 'core': '32.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7869, -1, 7885, -1], 'generators': [83629560, 90882847, 94394167, 94525320, 94525336], 'label': '512.7530050.16.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345386
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.r1', '8.s1', '8.w1', '8.x1', '8.ba1', '8.bb1', '8.bp1'], 'contains': ['32.p1', '32.ba1', '32.bb1', '32.be1', '32.dl1'], 'core': '64.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8405, -1, 8421, -1], 'generators': [94525327, 94399200, 83629560, 283788847, 94525320], 'label': '512.7530050.16.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345387
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.r1', '8.s1', '8.y1', '8.z1', '8.ba1', '8.bb1', '8.bq1'], 'contains': ['32.q1', '32.ba1', '32.bd1', '32.be1', '32.dm1'], 'core': '64.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8865, -1, 8882, -1], 'generators': [94525327, 94399200, 83629560, 98017927, 94525320], 'label': '512.7530050.16.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345388
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.a1', '8.v1', '8.w1', '8.y1', '8.br1'], 'contains': ['32.c1', '32.ba1', '32.be1', '32.dn1', '32.do1'], 'core': '32.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [7327, -1, 7341, -1], 'generators': [94525327, 139795320, 90882847, 302279880, 94525320], 'label': '512.7530050.16.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345389
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.b1', '8.u1', '8.x1', '8.z1', '8.br1'], 'contains': ['32.d1', '32.ba1', '32.be1', '32.dn1'], 'core': '32.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [7441, -1, 7456, -1], 'generators': [83629560, 90882847, 295032967, 94525320, 94525336], 'label': '512.7530050.16.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345390
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.h1', '8.u1', '8.v1', '8.bb1'], 'contains': ['32.b1', '32.s1', '32.ba1', '32.bl1', '32.cw1', '32.dp1'], 'core': '32.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6899, -1, 6913, -1], 'generators': [83629560, 90882847, 94525320, 295108687, 94525336], 'label': '512.7530050.16.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345391
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['128.g1', '128.t1', '128.bd1', '128.k1', '128.bg1', '128.bf1'], 'conjugacy_class_count': 12, 'contained_in': ['2.a1', '2.f1'], 'contains': ['8.c1', '8.e1', '8.q1'], 'core': '4.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [4358, 6228, 4366, 6233], 'generators': [139725360, 83473200, 221841360, 94525327, 177960, 207330607, 94525320], 'label': '512.7530050.4.e1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.e1', 'normal_contained_in': ['2.a1', '2.f1'], 'normal_contains': ['8.c1', '8.e1', '8.q1'], 'normalizer': '1.a1', 'old_label': '4.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345392
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.w1', '8.x1', '8.ba1', '8.bb1', '8.bs1'], 'contains': ['32.t1', '32.ba1', '32.bb1', '32.bm1', '32.cx1', '32.dq1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7690, -1, 7704, -1], 'generators': [94525327, 94399200, 83629560, 90882847, 94525320], 'label': '512.7530050.16.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345393
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bt1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.y1', '8.z1', '8.ba1', '8.bb1', '8.bt1'], 'contains': ['32.u1', '32.ba1', '32.bd1', '32.dr1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [9210, -1, 9228, -1], 'generators': [94525327, 94399200, 83629560, 298746847, 94525320], 'label': '512.7530050.16.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345394
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.c1', '8.r1', '8.ba1', '8.bd1', '8.bu1'], 'contains': ['32.a1', '32.v1', '32.bb1', '32.bd1', '32.ds1', '32.dv1'], 'core': '32.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7170, -1, 7184, -1], 'generators': [94525327, 83473200, 18684727, 177960, 94525320], 'label': '512.7530050.16.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345395
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.d1', '8.t1', '8.bc1', '8.be1', '8.bv1'], 'contains': ['32.a1', '32.bc1', '32.bn1', '32.bo1', '32.bp1', '32.cy1', '32.cy2', '32.dt1', '32.dw1'], 'core': '32.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2786, -1, 2791, -1], 'generators': [83473200, 207290280, 177960, 94525320, 94525336], 'label': '512.7530050.16.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345396
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.e1', '8.t1', '8.bc1', '8.bf1', '8.bw1'], 'contains': ['32.a1', '32.bq1', '32.cz1', '32.dx1'], 'core': '32.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4359, -1, 4367, -1], 'generators': [94525327, 83629560, 221841360, 94525320, 139725360], 'label': '512.7530050.16.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345397
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.g1', '8.s1', '8.bb1', '8.bd1', '8.bu1'], 'contains': ['32.b1', '32.w1', '32.bb1', '32.bd1', '32.ds1'], 'core': '32.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7073, -1, 7087, -1], 'generators': [83629560, 94394167, 18684727, 94525320, 94525336], 'label': '512.7530050.16.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345398
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.be1', '8.bg1', '8.bv1'], 'contains': ['32.b1', '32.bc1', '32.bs1', '32.bt1', '32.bu1', '32.db1', '32.dt1'], 'core': '32.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [2883, -1, 2888, -1], 'generators': [83629560, 94394167, 41141527, 94525320, 94525336], 'label': '512.7530050.16.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345400
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.r1', '8.s1', '8.w1', '8.x1', '8.bx1'], 'contains': ['32.bb1', '32.be1', '32.dy1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7557, -1, 7571, -1], 'generators': [94525327, 83629560, 98017927, 94525320, 295023000], 'label': '512.7530050.16.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345401
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.k1', '8.x1', '8.bd1'], 'contains': ['32.d1', '32.bb1', '32.by1', '32.df1', '32.dz1'], 'core': '32.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [5555, -1, 5565, -1], 'generators': [83629560, 295032967, 18684727, 94525320, 94525336], 'label': '512.7530050.16.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345402
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.c1', '2.d1'], 'contains': ['8.a1', '8.b1', '8.h1', '8.i1', '8.j1', '8.u1', '8.v1', '8.bo1', '8.br1'], 'core': '4.f1', 'coset_action_label': None, 'count': 2, 'diagramx': [6600, 3840, 6612, 3842], 'generators': [139725360, 90882847, 83473200, 94525327, 177960, 94525336, 94525320], 'label': '512.7530050.4.f1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.f1', 'normal_contained_in': ['2.b1', '2.c1', '2.d1'], 'normal_contains': ['8.a1', '8.b1', '8.h1', '8.i1', '8.j1'], 'normalizer': '1.a1', 'old_label': '4.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345403
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.d1', '8.bg1', '8.bi1', '8.bj1', '8.by1'], 'contains': ['32.c1', '32.bc1', '32.bz1', '32.cb1', '32.cd1', '32.dg1', '32.dg2', '32.ea1', '32.eb1'], 'core': '32.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [1005, -1, 1007, -1], 'generators': [139795320, 302279880, 207290280, 94525320, 94525336], 'label': '512.7530050.16.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345404
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.be1', '8.by1'], 'contains': ['32.d1', '32.bc1', '32.ca1', '32.cc1', '32.cf1', '32.dh1', '32.ea1'], 'core': '32.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [2196, -1, 2200, -1], 'generators': [83629560, 41141527, 295032967, 94525320, 94525336], 'label': '512.7530050.16.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345405
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.r1', '8.s1', '8.y1', '8.z1', '8.bz1'], 'contains': ['32.bd1', '32.be1', '32.ec1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8963, -1, 8981, -1], 'generators': [94525327, 83629560, 283788847, 94525320, 295023000], 'label': '512.7530050.16.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345406
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.l1', '8.z1', '8.bd1'], 'contains': ['32.d1', '32.bd1', '32.ed1'], 'core': '32.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [6118, -1, 6130, -1], 'generators': [83629560, 295032967, 11295367, 94525320, 94525336], 'label': '512.7530050.16.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345407
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.f1', '8.bh1', '8.bi1', '8.bj1', '8.ca1'], 'contains': ['32.c1', '32.ce1', '32.di1', '32.ee1'], 'core': '32.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [584, -1, 585, -1], 'generators': [94525327, 139795320, 302279880, 94525320, 48350160], 'label': '512.7530050.16.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345408
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.h1', '8.bk1'], 'contains': ['32.x1', '32.bf1', '32.bg1', '32.bk1', '32.bl1', '32.cv1', '32.cw1'], 'core': '64.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [5831, -1, 5843, -1], 'generators': [90882847, 94525320, 14928487, 94525336, 302376360], 'label': '512.7530050.16.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345409
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.bs1'], 'contains': ['32.y1', '32.bf1', '32.bh1', '32.bm1', '32.cx1'], 'core': '64.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7243, -1, 7258, -1], 'generators': [94399200, 90882847, 94525320, 14928487, 94525336], 'label': '512.7530050.16.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '16.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345410
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.bk1', '8.bl1', '8.bv1'], 'contains': ['32.bg1', '32.bi1', '32.bo1', '32.bp1', '32.bs1', '32.cy1', '32.db1'], 'core': '64.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [2979, -1, 2985, -1], 'generators': [83473200, 94394167, 251522647, 94525320, 94525336], 'label': '512.7530050.16.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345411
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bq2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bl1', '8.bv1'], 'contains': ['32.bg1', '32.bi1', '32.bn1', '32.bt1', '32.bu1', '32.cy2', '32.db1'], 'core': '64.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [2592, -1, 2597, -1], 'generators': [83473200, 94394167, 41141527, 94525320, 94525336], 'label': '512.7530050.16.bq2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.bq2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bq2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345412
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bk1', '8.bw1'], 'contains': ['32.bg1', '32.bq1', '32.cz1'], 'core': '64.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [4589, -1, 4598, -1], 'generators': [210955680, 94525320, 14928487, 94525336, 302376360], 'label': '512.7530050.16.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345413
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['2.d1', '2.e1', '2.f1'], 'contains': ['8.c1', '8.g1', '8.j1', '8.k1', '8.l1', '8.bd1', '8.bu1'], 'core': '4.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [5450, 2407, 5461, 2408], 'generators': [139725360, 83473200, 94525327, 177960, 94525336, 94525320, 18684727], 'label': '512.7530050.4.g1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.g1', 'normal_contained_in': ['2.d1', '2.e1', '2.f1'], 'normal_contains': ['8.c1', '8.g1', '8.j1', '8.k1', '8.l1'], 'normalizer': '1.a1', 'old_label': '4.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345414
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.j1', '8.bl1'], 'contains': ['32.bg1', '32.bj1', '32.br1', '32.bv1', '32.bw1', '32.da1', '32.dc1', '32.dd1'], 'core': '64.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [3173, -1, 3179, -1], 'generators': [302279880, 177960, 94525320, 15049567, 94525336], 'label': '512.7530050.16.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345415
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.k1', '8.bm1'], 'contains': ['32.bh1', '32.bj1', '32.bx1', '32.by1', '32.de1', '32.df1'], 'core': '64.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4792, -1, 4801, -1], 'generators': [302279880, 18684727, 94525320, 14928487, 94525336], 'label': '512.7530050.16.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '16.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345416
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bl1', '8.bm1', '8.by1'], 'contains': ['32.bi1', '32.bj1', '32.ca1', '32.cb1', '32.cd1', '32.dg1', '32.dh1'], 'core': '64.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [1418, -1, 1420, -1], 'generators': [302279880, 41141527, 94525320, 14928487, 94525336], 'label': '512.7530050.16.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345417
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bu2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.bl1', '8.by1'], 'contains': ['32.bi1', '32.bj1', '32.bz1', '32.cc1', '32.cf1', '32.dg2', '32.dh1'], 'core': '64.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [1956, -1, 1959, -1], 'generators': [302279880, 94525320, 14928487, 41091247, 94525336], 'label': '512.7530050.16.bu2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.bu2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bu2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345418
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['8.bm1', '8.ca1'], 'contains': ['32.bj1', '32.ce1', '32.di1'], 'core': '64.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [62, -1, 63, -1], 'generators': [302279880, 94525320, 14928487, 48350160, 94525336], 'label': '512.7530050.16.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '16.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345419
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.t1', '8.bk1', '8.cb1'], 'contains': ['32.z1', '32.bk1', '32.bo1', '32.bq1', '32.ef1'], 'core': '128.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4695, -1, 4704, -1], 'generators': [207340560, 90882847, 94525320, 94525336, 302376360], 'label': '512.7530050.16.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345420
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.t1', '8.bk1', '8.cc1'], 'contains': ['32.bk1', '32.bp1', '32.bq1', '32.eg1'], 'core': '128.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [4474, -1, 4482, -1], 'generators': [90882847, 94525320, 94525336, 199710120, 302376360], 'label': '512.7530050.16.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345421
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cu1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.d1', '8.bl1', '8.cd1'], 'contains': ['32.bn1', '32.bp1', '32.br1', '32.bz1', '32.cd1', '32.eh1', '32.ek1', '32.en1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1315, -1, 1318, -1], 'generators': [302279880, 177960, 94525320, 94525336, 199710120], 'label': '512.7530050.16.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345422
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cs1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.d1', '8.bl1', '8.ce1'], 'contains': ['32.bn1', '32.bo1', '32.br1', '32.bz1', '32.cb1', '32.ei1', '32.em1', '32.eo1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1587, -1, 1590, -1], 'generators': [302279880, 207290280, 177960, 94525320, 94525336], 'label': '512.7530050.16.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345423
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cu1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.be1', '8.bl1', '8.cd1'], 'contains': ['32.bn1', '32.bp1', '32.bs1', '32.bu1', '32.bv1', '32.ca1', '32.cf1', '32.eh1', '32.ej1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2298, -1, 2303, -1], 'generators': [83473200, 41141527, 295032967, 94525320, 94525336], 'label': '512.7530050.16.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345424
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['128.bf1'], 'conjugacy_class_count': 1, 'contained_in': ['2.b1', '2.e1'], 'contains': ['8.d1', '8.j1', '8.be1', '8.bg1', '8.bl1', '8.bv1', '8.by1', '8.cd1', '8.ce1'], 'core': '4.h1', 'coset_action_label': None, 'count': 1, 'diagramx': [2311, 4285, 2316, 4288], 'generators': [139725360, 83473200, 94525327, 177960, 94525336, 94525320, 41141527], 'label': '512.7530050.4.h1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.h1', 'normal_contained_in': ['2.b1', '2.e1'], 'normal_contains': ['8.d1', '8.j1'], 'normalizer': '1.a1', 'old_label': '4.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345425
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cs1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.be1', '8.bl1', '8.ce1'], 'contains': ['32.bn1', '32.bo1', '32.bs1', '32.bt1', '32.bv1', '32.ca1', '32.cc1', '32.ei1', '32.el1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2495, -1, 2500, -1], 'generators': [83473200, 41141527, 94525320, 295108687, 94525336], 'label': '512.7530050.16.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345426
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cu1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bg1', '8.bl1', '8.cd1'], 'contains': ['32.bs1', '32.bu1', '32.bw1', '32.bz1', '32.cd1', '32.ej1', '32.ek1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1686, -1, 1690, -1], 'generators': [302279880, 94525320, 15049567, 41091247, 94525336], 'label': '512.7530050.16.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345427
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cs1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.bg1', '8.bl1', '8.ce1'], 'contains': ['32.bs1', '32.bt1', '32.bw1', '32.bz1', '32.cb1', '32.el1', '32.em1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1787, -1, 1790, -1], 'generators': [94394167, 302279880, 41141527, 94525320, 94525336], 'label': '512.7530050.16.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345428
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.bi1', '8.bm1', '8.cf1'], 'contains': ['32.bx1', '32.cb1', '32.ce1', '32.ep1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [377, -1, 378, -1], 'generators': [302279880, 207290280, 18684727, 94525320, 94525336], 'label': '512.7530050.16.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '16.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ce1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345429
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.bi1', '8.bm1', '8.cg1'], 'contains': ['32.bx1', '32.cd1', '32.ce1', '32.eq1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [267, -1, 268, -1], 'generators': [302279880, 18684727, 94525320, 199679760, 94525336], 'label': '512.7530050.16.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '16.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345430
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.bn1', '8.bo1'], 'contains': ['32.n1', '32.o1', '32.cg1', '32.ch1', '32.ck1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [9357, -1, 9375, -1], 'generators': [94525327, 83473200, 90882847, 94394160, 94525336], 'label': '512.7530050.16.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '16.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345431
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.bn1', '8.bp1'], 'contains': ['32.p1', '32.cg1', '32.ci1', '32.ck1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [9454, -1, 9472, -1], 'generators': [94525327, 94399200, 283788847, 83629560, 94525336], 'label': '512.7530050.16.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '16.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ch1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345432
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.bn1', '8.bq1'], 'contains': ['32.q1', '32.cg2', '32.cj1', '32.ck1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [9647, -1, 9666, -1], 'generators': [94525327, 94399200, 14928480, 98017927, 94525336], 'label': '512.7530050.16.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '16.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ci1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345433
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.h1', '8.bn1'], 'contains': ['32.r1', '32.s1', '32.x1', '32.cg1', '32.cg2', '32.ch1', '32.cl1', '32.cl2'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [9136, -1, 9154, -1], 'generators': [94525327, 83629560, 90882847, 94525336, 139725360], 'label': '512.7530050.16.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '16.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345434
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.bn1', '8.bs1'], 'contains': ['32.t1', '32.y1', '32.cg1', '32.cg2', '32.ci1', '32.cm1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [9283, -1, 9302, -1], 'generators': [94525327, 94399200, 90882847, 83629560, 94525336], 'label': '512.7530050.16.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '16.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ck1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345435
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['128.bf1'], 'conjugacy_class_count': 2, 'contained_in': ['2.b1', '2.c1', '2.f1'], 'contains': ['8.e1', '8.j1', '8.bf1', '8.bw1'], 'core': '4.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [4272, 4730, 4280, 4734], 'generators': [139725360, 83473200, 221841360, 94525327, 177960, 94525336, 94525320], 'label': '512.7530050.4.i1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.i1', 'normal_contained_in': ['2.b1', '2.c1', '2.f1'], 'normal_contains': ['8.e1', '8.j1'], 'normalizer': '1.a1', 'old_label': '4.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345436
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bt1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.bn1', '8.bt1'], 'contains': ['32.u1', '32.cg1', '32.cj1'], 'core': '128.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [9938, -1, 9957, -1], 'generators': [94525327, 94399200, 83629560, 298746847, 94525336], 'label': '512.7530050.16.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345437
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.bn1', '8.bu1'], 'contains': ['32.v1', '32.w1', '32.ch1', '32.ci1', '32.cj1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [9551, -1, 9569, -1], 'generators': [94525327, 83473200, 18684727, 94394160, 94525336], 'label': '512.7530050.16.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '16.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345438
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.cb1'], 'contains': ['32.z1', '32.cl1', '32.cn1', '32.co1'], 'core': '128.b1', 'coset_action_label': None, 'count': 128, 'diagramx': [5345, -1, 5355, -1], 'generators': [94525327, 90882847, 41091247, 94525336, 302376360], 'label': '512.7530050.16.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.cb1', 'old_label': '16.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345439
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '8.bo1', '8.bp1', '8.bq1', '8.br1', '8.bs1', '8.bt1'], 'contains': ['32.e1', '32.ba1', '32.bf1', '32.cg1', '32.cg2', '32.cp1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [7639, -1, 7654, -1], 'generators': [94525327, 83629560, 90882847, 94525320, 94525336], 'label': '512.7530050.16.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.co1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345440
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1', '8.bp1', '8.bs1', '8.bu1', '8.bx1'], 'contains': ['32.e1', '32.bb1', '32.bh1', '32.ci1', '32.cr1'], 'core': '32.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [6950, -1, 6963, -1], 'generators': [94525327, 83629560, 18684727, 94525320, 94525336], 'label': '512.7530050.16.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345441
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cz1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bv1', '8.by1'], 'contains': ['32.e1', '32.bc1', '32.bi1', '32.cs1', '32.cu1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [3366, -1, 3373, -1], 'generators': [94525327, 83629560, 41141527, 94525320, 94525336], 'label': '512.7530050.16.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345442
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.s1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.l1', '8.bq1', '8.bt1', '8.bu1', '8.bz1'], 'contains': ['32.e1', '32.bd1', '32.cj1'], 'core': '32.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [9063, -1, 9081, -1], 'generators': [94525327, 83629560, 11295367, 94525320, 94525336], 'label': '512.7530050.16.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345443
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.i1', '8.bo1', '8.bp1', '8.bq1', '8.br1', '8.bx1', '8.bz1'], 'contains': ['32.e1', '32.be1', '32.ck1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [8170, -1, 8186, -1], 'generators': [94525327, 83629560, 98017927, 94525320, 94525336], 'label': '512.7530050.16.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345444
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.h1', '8.cb1', '8.cc1'], 'contains': ['32.bk1', '32.bl1', '32.cl1', '32.cl2', '32.cp1', '32.cq1'], 'core': '64.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [5882, -1, 5893, -1], 'generators': [94525327, 90882847, 94525320, 94525336, 302376360], 'label': '512.7530050.16.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ct1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345445
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.bs1'], 'contains': ['32.bm1', '32.cm1', '32.cp1', '32.cr1'], 'core': '64.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [7000, -1, 7013, -1], 'generators': [94525327, 94399200, 90882847, 94525320, 94525336], 'label': '512.7530050.16.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '16.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345446
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['128.bf1'], 'conjugacy_class_count': 1, 'contained_in': ['2.c1', '2.e1'], 'contains': ['8.f1', '8.j1', '8.bh1', '8.ca1'], 'core': '4.j1', 'coset_action_label': None, 'count': 1, 'diagramx': [1297, 3304, 1299, 3307], 'generators': [139725360, 48350160, 83473200, 94525327, 177960, 94525336, 94525320], 'label': '512.7530050.4.j1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.j1', 'normal_contained_in': ['2.c1', '2.e1'], 'normal_contains': ['8.f1', '8.j1'], 'normalizer': '1.a1', 'old_label': '4.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345447
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cv1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bv1', '8.cd1', '8.ce1'], 'contains': ['32.bn1', '32.bs1', '32.cq1', '32.cs1', '32.cu1'], 'core': '64.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [3270, -1, 3276, -1], 'generators': [94525327, 83473200, 41141527, 94525320, 94525336], 'label': '512.7530050.16.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345448
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bv1', '8.cb1', '8.ce1'], 'contains': ['32.bo1', '32.bt1', '32.cn1', '32.cq1', '32.cs1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [3634, -1, 3641, -1], 'generators': [94525327, 83473200, 251522647, 94525320, 94525336], 'label': '512.7530050.16.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345449
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cx1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bv1', '8.cc1', '8.cd1'], 'contains': ['32.bp1', '32.bu1', '32.cq1', '32.cu1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [3464, -1, 3470, -1], 'generators': [94525327, 83473200, 251598367, 94525320, 94525336], 'label': '512.7530050.16.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345450
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cy1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['8.bw1', '8.cb1', '8.cc1'], 'contains': ['32.bq1', '32.co1', '32.cq1'], 'core': '64.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [5054, -1, 5065, -1], 'generators': [94525327, 210955680, 94525320, 94525336, 302376360], 'label': '512.7530050.16.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345451
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.j1', '8.cd1', '8.ce1'], 'contains': ['32.br1', '32.bv1', '32.bw1', '32.cq1', '32.ct1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [3560, -1, 3567, -1], 'generators': [94525327, 302279880, 177960, 94525320, 94525336], 'label': '512.7530050.16.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.cz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345452
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.k1', '8.cf1', '8.cg1'], 'contains': ['32.bx1', '32.by1', '32.cr1', '32.ct1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [4888, -1, 4898, -1], 'generators': [94525327, 302279880, 18684727, 94525320, 94525336], 'label': '512.7530050.16.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '16.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.da1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345453
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.db1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.by1', '8.cd1', '8.ce1'], 'contains': ['32.bz1', '32.ca1', '32.cs1', '32.ct1', '32.cu1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [3076, -1, 3082, -1], 'generators': [94525327, 302279880, 94525320, 41091247, 94525336], 'label': '512.7530050.16.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.db1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345454
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dc1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.by1', '8.ce1', '8.cf1'], 'contains': ['32.cb1', '32.cc1', '32.cs1', '32.ct1'], 'core': '64.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2689, -1, 2694, -1], 'generators': [94525327, 302279880, 41141527, 94525320, 94525336], 'label': '512.7530050.16.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345455
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.by1', '8.cd1', '8.cg1'], 'contains': ['32.cd1', '32.cf1', '32.ct1', '32.cu1'], 'core': '64.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [2398, -1, 2403, -1], 'generators': [94525327, 44760367, 302279880, 94525320, 94525336], 'label': '512.7530050.16.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345456
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.de1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['8.ca1', '8.cf1', '8.cg1'], 'contains': ['32.ce1', '32.ct1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [468, -1, 468, -1], 'generators': [94525327, 302279880, 94525320, 48350160, 94525336], 'label': '512.7530050.16.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '16.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.de1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345457
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['128.j1', '128.w1', '128.g1', '128.t1', '128.bd1', '128.b1', '128.f1', '128.i1', '128.v1', '128.k1', '128.bg1', '128.bf1'], 'conjugacy_class_count': 64, 'contained_in': ['2.a1'], 'contains': ['8.m1', '8.n1', '8.o1', '8.p1', '8.q1'], 'core': '4.k1', 'coset_action_label': None, 'count': 64, 'diagramx': [4102, 8463, 4110, 8465], 'generators': [83473200, 94399200, 90882847, 207290280, 177960, 94525320, 139725360], 'label': '512.7530050.4.k1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.k1', 'normal_contained_in': ['2.a1'], 'normal_contains': ['8.m1', '8.n1', '8.o1', '8.p1', '8.q1'], 'normalizer': '1.a1', 'old_label': '4.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345458
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['8.t1', '8.bk1'], 'contains': ['32.cv1', '32.cy1', '32.cz1', '32.ef1', '32.eg1'], 'core': '128.c1', 'coset_action_label': None, 'count': 192, 'diagramx': [4248, -1, 4256, -1], 'generators': [90882847, 14928496, 94525320, 199710120, 302376360], 'label': '512.7530050.16.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '16.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.df1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345459
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.d1', '8.bl1'], 'contains': ['32.cy1', '32.cy2', '32.da1', '32.dg1', '32.dg2', '32.eh1', '32.ei1', '32.ek1', '32.em1', '32.en1', '32.eo1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [1091, -1, 1093, -1], 'generators': [302279880, 207290280, 15049576, 177960, 94525320], 'label': '512.7530050.16.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345460
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.be1', '8.bl1'], 'contains': ['32.cy1', '32.cy2', '32.db1', '32.dc1', '32.dh1', '32.eh1', '32.ei1', '32.ej1', '32.el1'], 'core': '128.c1', 'coset_action_label': None, 'count': 96, 'diagramx': [2041, -1, 2045, -1], 'generators': [83473200, 41141527, 94525320, 295108687, 94394176], 'label': '512.7530050.16.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345461
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.bg1', '8.bl1'], 'contains': ['32.db1', '32.dd1', '32.dg1', '32.dg2', '32.ej1', '32.ek1', '32.el1', '32.em1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [1230, -1, 1232, -1], 'generators': [302279880, 41141527, 94525320, 15049567, 94394176], 'label': '512.7530050.16.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.di1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345462
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.bi1', '8.bm1'], 'contains': ['32.de1', '32.dg1', '32.di1', '32.ep1', '32.eq1'], 'core': '128.c1', 'coset_action_label': None, 'count': 96, 'diagramx': [166, -1, 166, -1], 'generators': [302279880, 14928496, 18684727, 94525320, 199679760], 'label': '512.7530050.16.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '16.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345463
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 96, 'contained_in': ['8.r1', '8.s1', '8.ci1', '8.cj1', '8.ck1'], 'contains': ['32.dj1', '32.dl1', '32.dm1', '32.ds1', '32.du1', '32.dy1', '32.ec1'], 'core': '64.d1', 'coset_action_label': None, 'count': 192, 'diagramx': [8253, -1, 8269, -1], 'generators': [94399200, 83629560, 98017927, 94525320, 295108687], 'label': '512.7530050.16.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345464
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['8.o1', '8.r1', '8.ci1'], 'contains': ['32.j1', '32.dk1', '32.dl1', '32.dm1', '32.dv1', '32.dy1', '32.ec1'], 'core': '32.j1', 'coset_action_label': None, 'count': 64, 'diagramx': [8322, -1, 8338, -1], 'generators': [83473200, 139806127, 90882847, 177960, 94525320], 'label': '512.7530050.16.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345465
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.a1', '8.u1', '8.ci1'], 'contains': ['32.g1', '32.dk1', '32.dn1', '32.dp1', '32.du1'], 'core': '32.g1', 'coset_action_label': None, 'count': 24, 'diagramx': [6821, -1, 6834, -1], 'generators': [83473200, 90882847, 177960, 94525320, 295108687], 'label': '512.7530050.16.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345466
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['8.b1', '8.u1', '8.v1', '8.cj1'], 'contains': ['32.h1', '32.dj1', '32.dn1', '32.dp1', '32.du1'], 'core': '32.h1', 'coset_action_label': None, 'count': 48, 'diagramx': [6599, -1, 6612, -1], 'generators': [83629560, 90882847, 94525320, 295108687, 94394176], 'label': '512.7530050.16.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345467
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.a1', '8.v1', '8.ck1'], 'contains': ['32.i1', '32.dj1', '32.do1', '32.dp1', '32.du1'], 'core': '32.i1', 'coset_action_label': None, 'count': 24, 'diagramx': [6492, -1, 6505, -1], 'generators': [139795320, 90882847, 302279880, 94525320, 15049567], 'label': '512.7530050.16.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.do1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345468
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['2.b1'], 'contains': ['8.b1', '8.t1', '8.bc1', '8.be1', '8.bf1', '8.ch1'], 'core': '8.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [4442, -1, 4451, -1], 'generators': [83629560, 90882847, 41141527, 94525320, 15049567, 139725360, 94525336], 'label': '512.7530050.4.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345469
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['8.m1', '8.t1', '8.ch1'], 'contains': ['32.f1', '32.dw1', '32.dx1', '32.ef1', '32.eg1'], 'core': '32.f1', 'coset_action_label': None, 'count': 64, 'diagramx': [4141, -1, 4149, -1], 'generators': [90882847, 83629560, 207290280, 94525320, 139725360], 'label': '512.7530050.16.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345470
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['8.w1', '8.x1', '8.ci1', '8.cj1'], 'contains': ['32.dl1', '32.dn1', '32.dq1', '32.dy1', '32.dz1'], 'core': '64.f1', 'coset_action_label': None, 'count': 96, 'diagramx': [8069, -1, 8084, -1], 'generators': [94399200, 83629560, 90882847, 295032967, 94525320], 'label': '512.7530050.16.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345471
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.o1', '8.w1', '8.ck1'], 'contains': ['32.l1', '32.dl1', '32.do1', '32.dq1', '32.dy1'], 'core': '32.l1', 'coset_action_label': None, 'count': 32, 'diagramx': [7768, -1, 7783, -1], 'generators': [139795320, 90882847, 167167, 302279880, 94525320], 'label': '512.7530050.16.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345472
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['8.y1', '8.z1', '8.ci1', '8.cj1'], 'contains': ['32.dm1', '32.dn1', '32.dr1', '32.ec1', '32.ed1'], 'core': '64.f1', 'coset_action_label': None, 'count': 96, 'diagramx': [8774, -1, 8791, -1], 'generators': [94399200, 83629560, 98017927, 295032967, 94525320], 'label': '512.7530050.16.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ds1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345473
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.o1', '8.y1', '8.ck1'], 'contains': ['32.m1', '32.dm1', '32.do1', '32.dr1', '32.ec1'], 'core': '32.m1', 'coset_action_label': None, 'count': 32, 'diagramx': [8496, -1, 8513, -1], 'generators': [139795320, 90882847, 302279880, 83640367, 94525320], 'label': '512.7530050.16.dt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345474
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.du1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 96, 'contained_in': ['8.ba1', '8.bb1', '8.ci1', '8.cj1', '8.ck1'], 'contains': ['32.dj1', '32.dl1', '32.dm1', '32.dp1', '32.dq1', '32.dr1', '32.ds1', '32.er1'], 'core': '64.d1', 'coset_action_label': None, 'count': 192, 'diagramx': [8586, -1, 8603, -1], 'generators': [94399200, 83629560, 90882847, 94394167, 94525320], 'label': '512.7530050.16.du1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.du1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.du1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345475
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['8.o1', '8.ba1', '8.ci1'], 'contains': ['32.f1', '32.dk1', '32.dl1', '32.dm1', '32.dq1', '32.dr1', '32.dv1', '32.es1'], 'core': '32.f1', 'coset_action_label': None, 'count': 64, 'diagramx': [8684, -1, 8700, -1], 'generators': [83473200, 90882847, 167167, 177960, 94525320], 'label': '512.7530050.16.dv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345476
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.c1', '8.bd1', '8.ci1'], 'contains': ['32.g1', '32.ds1', '32.dv1', '32.dz1', '32.ed1'], 'core': '32.g1', 'coset_action_label': None, 'count': 24, 'diagramx': [5935, -1, 5947, -1], 'generators': [83473200, 18684727, 177960, 94525320, 295108687], 'label': '512.7530050.16.dw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345477
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.d1', '8.be1', '8.ch1'], 'contains': ['32.g1', '32.dt1', '32.dw1', '32.ea1', '32.eh1', '32.ei1'], 'core': '32.g1', 'coset_action_label': None, 'count': 24, 'diagramx': [2110, -1, 2114, -1], 'generators': [83473200, 207290280, 177960, 94525320, 295108696], 'label': '512.7530050.16.dx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345478
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.e1', '8.bf1', '8.ch1'], 'contains': ['32.g1', '32.dx1'], 'core': '32.g1', 'coset_action_label': None, 'count': 24, 'diagramx': [4972, -1, 4981, -1], 'generators': [83629560, 221841360, 94525320, 15049567, 139725360], 'label': '512.7530050.16.dy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345479
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '2.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['256.e1', '256.h1', '256.i1', '256.f1', '256.a1', '256.c1'], 'conjugacy_class_count': 24, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '4.k1'], 'core': '2.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4181, 6228, 4188, 6233], 'generators': [83473200, 94399200, 90882847, 207290280, 177960, 94525320, 94525336, 139725360], 'label': '512.7530050.2.a1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.a1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.b1', '4.c1', '4.d1', '4.e1', '4.k1'], 'normalizer': '1.a1', 'old_label': '2.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345480
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['2.d1'], 'contains': ['8.b1', '8.r1', '8.s1', '8.u1', '8.x1', '8.z1', '8.ba1', '8.bb1', '8.bd1', '8.ci1', '8.cj1'], 'core': '8.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [7971, -1, 7986, -1], 'generators': [83473200, 94399200, 90882847, 177960, 94525320, 295108687, 94525336], 'label': '512.7530050.4.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345481
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.dz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['8.g1', '8.bd1', '8.cj1'], 'contains': ['32.h1', '32.ds1', '32.dz1', '32.ed1'], 'core': '32.h1', 'coset_action_label': None, 'count': 24, 'diagramx': [5778, -1, 5789, -1], 'generators': [83629560, 18684727, 94525320, 295108687, 94394176], 'label': '512.7530050.16.dz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '16.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.dz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345482
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ea1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.be1', '8.bg1'], 'contains': ['32.h1', '32.dt1', '32.ea1', '32.ej1', '32.el1'], 'core': '32.h1', 'coset_action_label': None, 'count': 24, 'diagramx': [1869, -1, 1873, -1], 'generators': [83629560, 41141527, 94525320, 295108687, 94394176], 'label': '512.7530050.16.ea1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '16.ea1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ea1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345483
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.eb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.d1', '8.bg1', '8.cl1'], 'contains': ['32.i1', '32.dt1', '32.eb1', '32.ek1', '32.em1'], 'core': '32.i1', 'coset_action_label': None, 'count': 12, 'diagramx': [1160, -1, 1162, -1], 'generators': [139795320, 302279880, 207290280, 15049576, 94525320], 'label': '512.7530050.16.eb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.eb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.eb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345484
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ec1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['8.f1', '8.bh1', '8.cl1'], 'contains': ['32.i1', '32.ee1'], 'core': '32.i1', 'coset_action_label': None, 'count': 12, 'diagramx': [756, -1, 758, -1], 'generators': [139795320, 302279880, 94525320, 15049567, 48350160], 'label': '512.7530050.16.ec1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.ec1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ec1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345485
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ed1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['8.m1', '8.bc1', '8.ch1'], 'contains': ['32.j1', '32.dw1', '32.dx1'], 'core': '32.j1', 'coset_action_label': None, 'count': 64, 'diagramx': [4053, -1, 4061, -1], 'generators': [83629560, 207290280, 94525320, 139725360, 18669007], 'label': '512.7530050.16.ed1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '16.ed1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ed1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345486
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ee1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.p1', '8.bi1', '8.cl1'], 'contains': ['32.l1', '32.eb1', '32.ee1', '32.ep1', '32.eq1'], 'core': '32.l1', 'coset_action_label': None, 'count': 32, 'diagramx': [687, -1, 688, -1], 'generators': [139795320, 302279880, 207290280, 18684727, 94525320], 'label': '512.7530050.16.ee1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ee1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345487
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.ef1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['8.p1', '8.bj1', '8.cl1'], 'contains': ['32.m1', '32.eb1', '32.ee1'], 'core': '32.m1', 'coset_action_label': None, 'count': 32, 'diagramx': [838, -1, 839, -1], 'generators': [139795320, 302279880, 207290280, 94525320, 90892807], 'label': '512.7530050.16.ef1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '16.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.ef1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345488
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.h1', '16.s1', '16.bb1', '16.bc1', '16.bd1'], 'contains': ['64.a1', '64.d1', '64.e1', '64.i1', '64.x1', '64.bk1'], 'core': '32.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [5887, 3577, 5898, 3580], 'generators': [94525327, 83473200, 177960, 94525320], 'label': '512.7530050.32.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': ['16.a1', '16.b1', '16.c1', '16.d1', '16.h1'], 'normal_contains': ['64.a1', '64.d1', '64.e1'], 'normalizer': '1.a1', 'old_label': '32.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345489
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.d1', '16.e1', '16.h1', '16.t1', '16.y1', '16.be1', '16.bf1', '16.bg1'], 'contains': ['64.a1', '64.d1', '64.j1', '64.y1', '64.bl1'], 'core': '32.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [5937, 2223, 5948, 2225], 'generators': [83629560, 94394167, 94525320, 94525336], 'label': '512.7530050.32.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': ['16.d1', '16.e1', '16.h1'], 'normal_contains': ['64.a1', '64.d1'], 'normalizer': '1.a1', 'old_label': '32.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345490
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.c1', '16.e1', '16.f1', '16.g1', '16.i1', '16.w1', '16.bj1', '16.bn1'], 'contains': ['64.a1', '64.f1', '64.g1', '64.bb1', '64.bo1'], 'core': '32.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [4360, 3147, 4368, 3149], 'generators': [94525327, 139795320, 302279880, 94525320], 'label': '512.7530050.32.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': ['16.c1', '16.e1', '16.f1', '16.g1', '16.i1'], 'normal_contains': ['64.a1', '64.f1', '64.g1'], 'normalizer': '1.a1', 'old_label': '32.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345491
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['2.d1'], 'contains': ['8.g1', '8.s1', '8.v1', '8.w1', '8.y1', '8.bb1', '8.cj1', '8.ck1'], 'core': '8.g1', 'coset_action_label': None, 'count': 12, 'diagramx': [7748, -1, 7762, -1], 'generators': [139795320, 94399200, 90882847, 302279880, 94525320, 15049567, 94525336], 'label': '512.7530050.4.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345492
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.d1', '16.i1', '16.x1', '16.bi1', '16.bk1', '16.bm1'], 'contains': ['64.a1', '64.f1', '64.bc1', '64.bp1'], 'core': '32.d1', 'coset_action_label': None, 'count': 3, 'diagramx': [5247, 1793, 5257, 1794], 'generators': [83629560, 295032967, 94525320, 94525336], 'label': '512.7530050.32.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': ['16.d1', '16.i1'], 'normal_contains': ['64.a1', '64.f1'], 'normalizer': '1.a1', 'old_label': '32.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345493
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.h1', '16.i1', '16.co1', '16.cp1', '16.cq1', '16.cr1', '16.cs1'], 'contains': ['64.a1', '64.b1', '64.c1', '64.be1'], 'core': '32.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [6323, 1361, 6335, 1362], 'generators': [94525327, 83629560, 94525320, 94525336], 'label': '512.7530050.32.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.e1', 'normal_contained_in': ['16.h1', '16.i1'], 'normal_contains': ['64.a1', '64.b1', '64.c1'], 'normalizer': '1.a1', 'old_label': '32.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345494
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': ['16.cn1'], 'conjugacy_class_count': 8, 'contained_in': ['16.a1', '16.j1', '16.k1', '16.dp1', '16.dv1'], 'contains': ['64.e1', '64.bq1', '64.bw1', '64.da1'], 'core': '32.f1', 'coset_action_label': None, 'count': 8, 'diagramx': [6443, 6056, 6455, 6060], 'generators': [83629560, 18558000, 94525320, 139725360], 'label': '512.7530050.32.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': ['16.a1', '16.j1', '16.k1'], 'normal_contains': ['64.e1'], 'normalizer': '1.a1', 'old_label': '32.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345495
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.c1', '16.d1', '16.j1', '16.dm1', '16.dw1', '16.dx1', '16.dy1'], 'contains': ['64.d1', '64.e1', '64.f1', '64.by1'], 'core': '32.g1', 'coset_action_label': None, 'count': 6, 'diagramx': [5589, 4464, 5599, 4468], 'generators': [83473200, 177960, 94525320, 295108687], 'label': '512.7530050.32.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.g1', 'normal_contained_in': ['16.c1', '16.d1', '16.j1'], 'normal_contains': ['64.d1', '64.e1', '64.f1'], 'normalizer': '1.a1', 'old_label': '32.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345496
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['16.d1', '16.e1', '16.dn1', '16.dz1', '16.ea1'], 'contains': ['64.d1', '64.f1', '64.cc1'], 'core': '32.h1', 'coset_action_label': None, 'count': 6, 'diagramx': [5157, 2618, 5167, 2620], 'generators': [83629560, 94525320, 295108687, 94394176], 'label': '512.7530050.32.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.h1', 'normal_contained_in': ['16.d1', '16.e1'], 'normal_contains': ['64.d1', '64.f1'], 'normalizer': '1.a1', 'old_label': '32.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345537
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cv1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bf1', '16.bq1', '16.ca1', '16.cb1', '16.cc1', '16.cd1', '16.cv1'], 'contains': ['64.y1', '64.ba1', '64.bd1', '64.bz1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2797, -1, 2802, -1], 'generators': [41141527, 94525320, 15049567, 94525336], 'label': '512.7530050.32.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345497
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['16.c1', '16.e1', '16.l1', '16.do1', '16.eb1', '16.ec1'], 'contains': ['64.d1', '64.g1', '64.cd1'], 'core': '32.i1', 'coset_action_label': None, 'count': 3, 'diagramx': [4186, 3972, 4193, 3976], 'generators': [139795320, 302279880, 94525320, 15049567], 'label': '512.7530050.32.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.i1', 'normal_contained_in': ['16.c1', '16.e1', '16.l1'], 'normal_contains': ['64.d1', '64.g1'], 'normalizer': '1.a1', 'old_label': '32.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345498
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['16.cn1'], 'conjugacy_class_count': 8, 'contained_in': ['16.b1', '16.j1', '16.k1', '16.dl1', '16.ed1'], 'contains': ['64.e1', '64.bu1'], 'core': '32.j1', 'coset_action_label': None, 'count': 8, 'diagramx': [6383, 5704, 6395, 5708], 'generators': [90766080, 83629560, 94525320, 139725360], 'label': '512.7530050.32.j1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.j1', 'normal_contained_in': ['16.b1', '16.j1', '16.k1'], 'normal_contains': ['64.e1'], 'normalizer': '1.a1', 'old_label': '32.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345499
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['16.c1', '16.k1', '16.m1', '16.n1', '16.o1', '16.p1'], 'contains': ['64.e1', '64.g1', '64.ci1'], 'core': '32.k1', 'coset_action_label': None, 'count': 1, 'diagramx': [4270, 6814, 4277, 6815], 'generators': [83473200, 177960, 94525320, 139725360], 'label': '512.7530050.32.k1', 'mobius_quo': 0, 'mobius_sub': -1024, 'normal_closure': '32.k1', 'normal_contained_in': ['16.c1', '16.k1', '16.m1', '16.n1', '16.o1', '16.p1'], 'normal_contains': ['64.e1', '64.g1'], 'normalizer': '1.a1', 'old_label': '32.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345500
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['16.cn1'], 'conjugacy_class_count': 4, 'contained_in': ['16.f1', '16.l1', '16.m1', '16.dr1', '16.ee1'], 'contains': ['64.g1', '64.br1', '64.ck1'], 'core': '32.l1', 'coset_action_label': None, 'count': 4, 'diagramx': [5769, 5254, 5780, 5259], 'generators': [139795320, 90761040, 302279880, 94525320], 'label': '512.7530050.32.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.l1', 'normal_contained_in': ['16.f1', '16.l1', '16.m1'], 'normal_contains': ['64.g1'], 'normalizer': '1.a1', 'old_label': '32.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345501
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': ['16.cn1'], 'conjugacy_class_count': 4, 'contained_in': ['16.g1', '16.l1', '16.m1', '16.dt1', '16.ef1'], 'contains': ['64.g1', '64.bt1'], 'core': '32.m1', 'coset_action_label': None, 'count': 4, 'diagramx': [5837, 4859, 5847, 4863], 'generators': [139795320, 302279880, 94525320, 18547200], 'label': '512.7530050.32.m1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '32.m1', 'normal_contained_in': ['16.g1', '16.l1', '16.m1'], 'normal_contains': ['64.g1'], 'normalizer': '1.a1', 'old_label': '32.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345502
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['2.e1'], 'contains': ['8.g1', '8.bg1', '8.bh1', '8.bi1', '8.bj1', '8.cl1'], 'core': '8.g1', 'coset_action_label': None, 'count': 12, 'diagramx': [1405, -1, 1407, -1], 'generators': [139795320, 302279880, 41141527, 18684727, 94525320, 15049567, 94525336], 'label': '512.7530050.4.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '4.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345503
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['16.q1', '16.s1', '16.cg1'], 'contains': ['64.h1', '64.i1', '64.m1', '64.cv1', '64.cw1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [8926, -1, 8943, -1], 'generators': [94525327, 83473200, 90882847, 94394160], 'label': '512.7530050.32.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345504
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['16.r1', '16.t1', '16.cg1'], 'contains': ['64.h1', '64.j1', '64.m1', '64.cv1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [8746, -1, 8762, -1], 'generators': [90882847, 14928480, 94394167, 94525336], 'label': '512.7530050.32.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345505
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 96, 'contained_in': ['16.q1', '16.r1', '16.u1', '16.ch1'], 'contains': ['64.h1', '64.k1', '64.m1', '64.cx1'], 'core': '256.a1', 'coset_action_label': None, 'count': 384, 'diagramx': [9094, -1, 9111, -1], 'generators': [94525327, 94399200, 283788847, 83629560], 'label': '512.7530050.32.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345506
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 96, 'contained_in': ['16.q1', '16.r1', '16.v1', '16.ci1'], 'contains': ['64.h2', '64.l1', '64.m1', '64.cy1'], 'core': '256.a1', 'coset_action_label': None, 'count': 384, 'diagramx': [9365, -1, 9382, -1], 'generators': [94525327, 94399200, 14928480, 98017927], 'label': '512.7530050.32.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345507
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['16.a1', '16.q1', '16.cj1'], 'contains': ['64.h1', '64.h2', '64.i1', '64.q1', '64.q2', '64.cs1', '64.cz1', '64.da1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [8428, -1, 8443, -1], 'generators': [94525327, 83629560, 90882847, 139725360], 'label': '512.7530050.32.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345508
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['16.r1', '16.y1', '16.cj1'], 'contains': ['64.h1', '64.h2', '64.j1', '64.r1', '64.ct1', '64.cz1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [8528, -1, 8544, -1], 'generators': [90882847, 83629560, 295108687, 94525336], 'label': '512.7530050.32.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345509
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 96, 'contained_in': ['16.q1', '16.r1', '16.z1', '16.ck1'], 'contains': ['64.h1', '64.h2', '64.k1', '64.s1', '64.cu1', '64.db1'], 'core': '256.a1', 'coset_action_label': None, 'count': 384, 'diagramx': [8679, -1, 8695, -1], 'generators': [94525327, 94399200, 90882847, 83629560], 'label': '512.7530050.32.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345510
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bt1', 'complements': None, 'conjugacy_class_count': 96, 'contained_in': ['16.q1', '16.r1', '16.ba1', '16.cl1'], 'contains': ['64.h1', '64.l1', '64.dc1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [9622, -1, 9640, -1], 'generators': [94525327, 94399200, 83629560, 298746847], 'label': '512.7530050.32.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345511
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['16.q1', '16.bb1', '16.cm1'], 'contains': ['64.i1', '64.k1', '64.l1', '64.dd1', '64.de1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [9179, -1, 9195, -1], 'generators': [94525327, 83473200, 18684727, 94394160], 'label': '512.7530050.32.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345512
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['16.r1', '16.be1', '16.cm1'], 'contains': ['64.j1', '64.k1', '64.l1', '64.dd1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [9010, -1, 9027, -1], 'generators': [14928480, 94394167, 18684727, 94525336], 'label': '512.7530050.32.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345513
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1'], 'contains': ['8.i1', '8.r1', '8.s1', '8.bo1', '8.bp1', '8.bq1', '8.bu1', '8.bx1', '8.bz1'], 'core': '8.i1', 'coset_action_label': None, 'count': 4, 'diagramx': [8076, -1, 8077, -1], 'generators': [94525327, 83473200, 90882847, 177960, 94525320, 295023000, 94525336], 'label': '512.7530050.4.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345514
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['16.bo1', '16.cj1'], 'contains': ['64.n1', '64.o1', '64.q1', '64.q2', '64.r1', '64.cs1', '64.ct1'], 'core': '256.a1', 'coset_action_label': None, 'count': 384, 'diagramx': [7184, -1, 7197, -1], 'generators': [90882847, 14928487, 94525336, 302376360], 'label': '512.7530050.32.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '32.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345515
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['16.bp1', '16.ck1'], 'contains': ['64.n1', '64.p1', '64.s1', '64.cu1'], 'core': '256.a1', 'coset_action_label': None, 'count': 384, 'diagramx': [8327, -1, 8342, -1], 'generators': [94399200, 90882847, 14928487, 94525336], 'label': '512.7530050.32.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '32.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345516
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 96, 'contained_in': ['16.bw1', '16.cn1'], 'contains': ['64.q1', '64.t1', '64.u1', '64.df1'], 'core': '256.a1', 'coset_action_label': None, 'count': 768, 'diagramx': [5337, -1, 5347, -1], 'generators': [207340560, 90882847, 94525336, 302376360], 'label': '512.7530050.32.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.cb1', 'old_label': '32.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345517
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.a1', '16.s1', '16.t1', '16.u1', '16.v1', '16.w1', '16.x1', '16.y1', '16.z1', '16.ba1', '16.co1'], 'contains': ['64.a1', '64.h1', '64.h2', '64.w1', '64.bj1', '64.bq1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7509, -1, 7522, -1], 'generators': [94525327, 83629560, 90882847, 94525320], 'label': '512.7530050.32.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345518
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.f1', '16.u1', '16.z1', '16.bb1', '16.be1', '16.bh1', '16.bi1', '16.cp1'], 'contains': ['64.a1', '64.k1', '64.z1', '64.bm1', '64.br1'], 'core': '64.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6765, -1, 6777, -1], 'generators': [94525327, 83629560, 18684727, 94525320], 'label': '512.7530050.32.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345519
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cz1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bc1', '16.bf1', '16.bj1', '16.bk1', '16.cq1'], 'contains': ['64.a1', '64.ba1', '64.bd1', '64.bn1', '64.bs1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2882, -1, 2886, -1], 'generators': [83629560, 207290280, 94525320, 94525336], 'label': '512.7530050.32.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345520
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.s1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.g1', '16.v1', '16.ba1', '16.bb1', '16.be1', '16.bl1', '16.bm1', '16.cr1'], 'contains': ['64.a1', '64.l1', '64.bt1'], 'core': '64.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7831, -1, 7846, -1], 'generators': [94525327, 83629560, 11295367, 94525320], 'label': '512.7530050.32.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345521
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.b1', '16.s1', '16.t1', '16.u1', '16.v1', '16.w1', '16.x1', '16.bg1', '16.bh1', '16.bl1', '16.cs1'], 'contains': ['64.a1', '64.m1', '64.bu1'], 'core': '64.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [7582, -1, 7596, -1], 'generators': [94525327, 83629560, 98017927, 94525320], 'label': '512.7530050.32.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345522
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bo1', '16.bp1', '16.co1'], 'contains': ['64.b1', '64.n1', '64.w1', '64.bj1'], 'core': '64.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [6815, -1, 6827, -1], 'generators': [90882847, 94525320, 14928487, 94525336], 'label': '512.7530050.32.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345523
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.h1', '16.bo1', '16.bq1', '16.bq2', '16.br1', '16.bs1'], 'contains': ['64.b1', '64.o1', '64.x1', '64.y1', '64.bk1', '64.bl1'], 'core': '64.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4989, -1, 4998, -1], 'generators': [83473200, 94394167, 94525320, 94525336], 'label': '512.7530050.32.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345524
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.h1', '8.t1', '8.bk1', '8.bv1', '8.bw1', '8.cb1', '8.cc1'], 'core': '8.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [4729, -1, 4738, -1], 'generators': [94525327, 83629560, 90882847, 41141527, 94525320, 139725360, 94525336], 'label': '512.7530050.4.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345525
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.bp1', '16.bt1', '16.cp1'], 'contains': ['64.b1', '64.p1', '64.z1', '64.bm1'], 'core': '64.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6664, -1, 6676, -1], 'generators': [18684727, 94525320, 14928487, 94525336], 'label': '512.7530050.32.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.r1', 'old_label': '32.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345526
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cz1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bq1', '16.bq2', '16.bu1', '16.bu2', '16.cq1'], 'contains': ['64.b1', '64.ba1', '64.bd1', '64.bn1'], 'core': '64.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [2965, -1, 2970, -1], 'generators': [41141527, 94525320, 14928487, 94525336], 'label': '512.7530050.32.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345527
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.i1', '16.bs1', '16.bt1', '16.bu1', '16.bu2', '16.bv1'], 'contains': ['64.b1', '64.bb1', '64.bc1', '64.bo1', '64.bp1'], 'core': '64.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3685, -1, 3691, -1], 'generators': [302279880, 94525320, 14928487, 94525336], 'label': '512.7530050.32.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '32.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345528
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.a1', '16.bo1', '16.bw1', '16.bx1', '16.ct1'], 'contains': ['64.q1', '64.q2', '64.w1', '64.x1', '64.bv1', '64.bw1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6122, -1, 6133, -1], 'generators': [94525327, 90882847, 94525320, 302376360], 'label': '512.7530050.32.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '32.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345529
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.y1', '16.bo1', '16.ct1'], 'contains': ['64.r1', '64.w1', '64.y1', '64.bv1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6172, -1, 6184, -1], 'generators': [132452767, 90882847, 94525320, 94525336], 'label': '512.7530050.32.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '32.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345530
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.z1', '16.bp1', '16.cu1'], 'contains': ['64.s1', '64.w1', '64.z1', '64.bx1'], 'core': '128.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [7134, -1, 7147, -1], 'generators': [94525327, 94399200, 90882847, 94525320], 'label': '512.7530050.32.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '32.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345531
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cv1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bc1', '16.bq2', '16.by1', '16.bz1', '16.ca1', '16.cb1', '16.cv1'], 'contains': ['64.x1', '64.ba1', '64.bd1', '64.bz1', '64.ce1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [2281, -1, 2285, -1], 'generators': [83473200, 207290280, 94525320, 94525336], 'label': '512.7530050.32.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345532
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bc1', '16.bq1', '16.bw1', '16.bz1', '16.cb1', '16.cw1'], 'contains': ['64.t1', '64.x1', '64.ba1', '64.ca1', '64.cf1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3444, -1, 3449, -1], 'generators': [83473200, 183417240, 94525320, 94525336], 'label': '512.7530050.32.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345533
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cx1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bc1', '16.bq1', '16.bx1', '16.by1', '16.ca1', '16.cx1'], 'contains': ['64.x1', '64.bd1', '64.cb1', '64.cg1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3151, -1, 3157, -1], 'generators': [83473200, 183300480, 94525320, 94525336], 'label': '512.7530050.32.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345534
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cy1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bd1', '16.br1', '16.bw1', '16.bx1', '16.cy1'], 'contains': ['64.u1', '64.x1', '64.ch1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4748, -1, 4756, -1], 'generators': [94525327, 210955680, 94525320, 302376360], 'label': '512.7530050.32.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '32.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345535
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1'], 'contains': ['8.k1', '8.w1', '8.x1', '8.bp1', '8.br1', '8.bs1', '8.bx1'], 'core': '8.k1', 'coset_action_label': None, 'count': 2, 'diagramx': [7451, -1, 7466, -1], 'generators': [94525327, 139795320, 94399200, 90882847, 302279880, 94525320, 94525336], 'label': '512.7530050.4.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345536
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cq1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.c1', '16.bs1', '16.by1', '16.bz1', '16.cz1'], 'contains': ['64.x1', '64.bb1', '64.by1', '64.cd1', '64.ci1'], 'core': '128.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3326, -1, 3331, -1], 'generators': [94525327, 302279880, 177960, 94525320], 'label': '512.7530050.32.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345538
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bf1', '16.bq2', '16.cb1', '16.cd1', '16.cw1'], 'contains': ['64.v1', '64.y1', '64.ba1', '64.ca1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3393, -1, 3399, -1], 'generators': [94394167, 41141527, 94525320, 94525336], 'label': '512.7530050.32.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345539
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cx1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bf1', '16.bq2', '16.ca1', '16.cc1', '16.cx1'], 'contains': ['64.y1', '64.bd1', '64.cb1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3055, -1, 3061, -1], 'generators': [44730007, 94394167, 94525320, 94525336], 'label': '512.7530050.32.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345540
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cq1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.d1', '16.bs1', '16.ca1', '16.cb1', '16.cz1'], 'contains': ['64.x1', '64.y1', '64.bc1', '64.by1', '64.cc1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [3871, -1, 3878, -1], 'generators': [83473200, 94525320, 295108687, 94525336], 'label': '512.7530050.32.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345541
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cq1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.e1', '16.bs1', '16.cc1', '16.cd1', '16.cz1'], 'contains': ['64.y1', '64.bb1', '64.cc1', '64.cd1'], 'core': '128.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [3594, -1, 3601, -1], 'generators': [94394167, 302279880, 94525320, 94525336], 'label': '512.7530050.32.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345542
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.f1', '16.bt1', '16.ce1', '16.cf1', '16.da1'], 'contains': ['64.z1', '64.bb1', '64.cj1', '64.ck1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4922, -1, 4931, -1], 'generators': [94525327, 302279880, 18684727, 94525320], 'label': '512.7530050.32.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '32.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345543
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.bi1', '16.bt1', '16.da1'], 'contains': ['64.z1', '64.bc1', '64.cj1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [5421, -1, 5431, -1], 'generators': [18684727, 132543487, 94525320, 94525336], 'label': '512.7530050.32.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.k1', 'old_label': '32.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345544
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.db1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bj1', '16.bu2', '16.by1', '16.bz1', '16.cc1', '16.cd1', '16.db1'], 'contains': ['64.ba1', '64.bb1', '64.bd1', '64.cl1', '64.cm1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [1545, -1, 1548, -1], 'generators': [207340560, 302279880, 94525320, 94525336], 'label': '512.7530050.32.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345545
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.db1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bk1', '16.bu1', '16.ca1', '16.cb1', '16.db1'], 'contains': ['64.ba1', '64.bc1', '64.bd1', '64.cl1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2540, -1, 2544, -1], 'generators': [41141527, 295032967, 94525320, 94525336], 'label': '512.7530050.32.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345546
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.d1'], 'contains': ['8.l1', '8.y1', '8.z1', '8.bq1', '8.br1', '8.bt1', '8.bz1'], 'core': '8.l1', 'coset_action_label': None, 'count': 2, 'diagramx': [8684, -1, 8700, -1], 'generators': [94525327, 139795320, 94399200, 302279880, 94525320, 18669007, 94525336], 'label': '512.7530050.4.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345547
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dc1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bj1', '16.bu1', '16.bz1', '16.cd1', '16.ce1', '16.dc1'], 'contains': ['64.ba1', '64.bb1', '64.cn1', '64.co1'], 'core': '128.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [1455, -1, 1458, -1], 'generators': [302279880, 207290280, 94525320, 94525336], 'label': '512.7530050.32.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '32.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345548
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dc1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.bk1', '16.bu2', '16.cb1', '16.dc1'], 'contains': ['64.ba1', '64.bc1', '64.cn1'], 'core': '128.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2629, -1, 2634, -1], 'generators': [41141527, 132543487, 94525320, 94525336], 'label': '512.7530050.32.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345549
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dd1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bj1', '16.bu1', '16.by1', '16.cc1', '16.cf1', '16.dd1'], 'contains': ['64.bb1', '64.bd1', '64.cp1', '64.cq1'], 'core': '128.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [1371, -1, 1373, -1], 'generators': [302279880, 94525320, 199679760, 94525336], 'label': '512.7530050.32.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '32.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345550
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.de1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bn1', '16.bv1', '16.ce1', '16.cf1', '16.de1'], 'contains': ['64.bb1', '64.cr1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [520, -1, 521, -1], 'generators': [94525327, 302279880, 94525320, 48350160], 'label': '512.7530050.32.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '32.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ce1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345551
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dd1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.bk1', '16.bu2', '16.ca1', '16.dd1'], 'contains': ['64.bc1', '64.bd1', '64.cp1'], 'core': '128.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [2198, -1, 2201, -1], 'generators': [44730007, 295032967, 94525320, 94525336], 'label': '512.7530050.32.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345552
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.cg1', '16.ch1', '16.cj1', '16.ck1', '16.cl1', '16.co1'], 'contains': ['64.h1', '64.n1', '64.be1', '64.bf1'], 'core': '128.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [8578, -1, 8594, -1], 'generators': [94525327, 90882847, 14928480, 94525336], 'label': '512.7530050.32.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345553
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.ci1', '16.cj1', '16.ck1', '16.co1'], 'contains': ['64.h2', '64.n1', '64.be1', '64.bf1'], 'core': '128.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [8478, -1, 8494, -1], 'generators': [94525327, 90882847, 83629560, 94525336], 'label': '512.7530050.32.cg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.cg2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cg2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345554
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.h1', '16.cg1', '16.cj1', '16.cm1'], 'contains': ['64.i1', '64.j1', '64.o1', '64.be1', '64.bg1'], 'core': '128.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [8377, -1, 8393, -1], 'generators': [94525327, 83473200, 177960, 94525336], 'label': '512.7530050.32.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ch1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345555
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.ch1', '16.ck1', '16.cm1', '16.cp1'], 'contains': ['64.k1', '64.p1', '64.be1', '64.bh1'], 'core': '128.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [8629, -1, 8645, -1], 'generators': [94525327, 83629560, 18684727, 94525336], 'label': '512.7530050.32.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ci1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345556
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.s1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.ci1', '16.cl1', '16.cm1', '16.cr1'], 'contains': ['64.l1', '64.be1'], 'core': '128.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [9268, -1, 9286, -1], 'generators': [94525327, 14928480, 11295367, 94525336], 'label': '512.7530050.32.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345557
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.d1'], 'contains': ['8.h1', '8.ba1', '8.bb1', '8.bn1', '8.bo1', '8.bp1', '8.bq1', '8.bs1', '8.bt1', '8.bu1'], 'core': '8.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [8312, -1, 8327, -1], 'generators': [94525327, 83473200, 94399200, 90882847, 177960, 94525320, 94525336], 'label': '512.7530050.4.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '4.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345558
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.cg1', '16.ch1', '16.ci1', '16.cs1'], 'contains': ['64.m1', '64.be1'], 'core': '128.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [8836, -1, 8852, -1], 'generators': [94525327, 14928480, 98017927, 94525336], 'label': '512.7530050.32.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ck1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345559
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.cj1', '16.cn1', '16.ct1'], 'contains': ['64.q1', '64.r1', '64.bf1', '64.bg1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [6865, -1, 6877, -1], 'generators': [94525327, 90882847, 94525336, 302376360], 'label': '512.7530050.32.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '32.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345560
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cl2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.cj1', '16.ct1'], 'contains': ['64.q2', '64.r1', '64.bf1', '64.bg1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [7084, -1, 7097, -1], 'generators': [94525327, 90882847, 132452760, 94525336], 'label': '512.7530050.32.cl2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '32.cl2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cl2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345561
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.ck1', '16.cu1'], 'contains': ['64.s1', '64.bf1', '64.bh1'], 'core': '128.b1', 'coset_action_label': None, 'count': 128, 'diagramx': [8277, -1, 8292, -1], 'generators': [94525327, 94399200, 90882847, 94525336], 'label': '512.7530050.32.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '32.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345562
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.cn1', '16.cw1'], 'contains': ['64.t1', '64.v1', '64.bg1', '64.bi1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [5089, -1, 5099, -1], 'generators': [94525327, 83473200, 251522647, 94525336], 'label': '512.7530050.32.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.cb1', 'old_label': '32.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345563
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cy1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.cn1', '16.cy1'], 'contains': ['64.u1', '64.bg1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [5679, -1, 5690, -1], 'generators': [94525327, 210955680, 94525336, 302376360], 'label': '512.7530050.32.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.cb1', 'old_label': '32.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.co1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345564
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.co1', '16.ct1', '16.cu1'], 'contains': ['64.c1', '64.w1', '64.bf1'], 'core': '64.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [6714, -1, 6727, -1], 'generators': [94525327, 90882847, 94525320, 94525336], 'label': '512.7530050.32.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345565
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['16.h1', '16.ct1', '16.cv1', '16.cw1', '16.cx1', '16.cy1', '16.cz1'], 'contains': ['64.c1', '64.x1', '64.y1', '64.bg1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [5039, -1, 5049, -1], 'generators': [94525327, 83473200, 94525320, 94525336], 'label': '512.7530050.32.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345566
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cp1', '16.cu1', '16.da1'], 'contains': ['64.c1', '64.z1', '64.bh1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [6614, -1, 6626, -1], 'generators': [94525327, 18684727, 94525320, 94525336], 'label': '512.7530050.32.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.r1', 'old_label': '32.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345567
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.ce1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cq1', '16.cv1', '16.cw1', '16.db1', '16.dc1'], 'contains': ['64.c1', '64.ba1', '64.bi1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [4118, -1, 4126, -1], 'generators': [94525327, 41141527, 94525320, 94525336], 'label': '512.7530050.32.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345568
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['2.b1'], 'contains': ['8.i1', '8.bc1', '8.bv1', '8.bw1'], 'core': '8.i1', 'coset_action_label': None, 'count': 4, 'diagramx': [4524, -1, 4534, -1], 'generators': [94525327, 83629560, 41141527, 94525320, 139725360, 94525336, 18669007], 'label': '512.7530050.4.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '4.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345569
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.w1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.i1', '16.cz1', '16.da1', '16.db1', '16.dc1', '16.dd1', '16.de1'], 'contains': ['64.c1', '64.bb1', '64.bc1'], 'core': '64.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [3780, -1, 3788, -1], 'generators': [94525327, 302279880, 94525320, 94525336], 'label': '512.7530050.32.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '32.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ct1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345570
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.cd1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['16.cq1', '16.cv1', '16.cx1', '16.db1', '16.dd1'], 'contains': ['64.c1', '64.bd1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [4045, -1, 4052, -1], 'generators': [94525327, 44730007, 94525320, 94525336], 'label': '512.7530050.32.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345571
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.a1', '16.bo1', '16.df1'], 'contains': ['64.bj1', '64.bk1', '64.bv1', '64.bw1', '64.cs1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [6072, -1, 6083, -1], 'generators': [90882847, 94525320, 14928487, 302376360], 'label': '512.7530050.32.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '32.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345572
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.y1', '16.bo1'], 'contains': ['64.bj1', '64.bl1', '64.bv1', '64.ct1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [6273, -1, 6285, -1], 'generators': [132452767, 14928496, 298746847, 94525320], 'label': '512.7530050.32.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '32.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345573
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.z1', '16.bp1'], 'contains': ['64.bj1', '64.bm1', '64.bx1', '64.cu1'], 'core': '128.c1', 'coset_action_label': None, 'count': 96, 'diagramx': [7373, -1, 7387, -1], 'generators': [94399200, 90882847, 94525320, 14928487], 'label': '512.7530050.32.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '32.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345574
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.bc1', '16.bq1', '16.df1', '16.dg1', '16.dh1'], 'contains': ['64.bk1', '64.bn1', '64.bz1', '64.cf1', '64.cg1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [2449, -1, 2453, -1], 'generators': [83473200, 183417240, 94525320, 94394176], 'label': '512.7530050.32.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345575
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cy2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bc1', '16.bq2', '16.dg1', '16.dh1'], 'contains': ['64.bk1', '64.bn1', '64.ca1', '64.cb1', '64.ce1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [2030, -1, 2033, -1], 'generators': [83473200, 207290280, 94525320, 94394176], 'label': '512.7530050.32.cy2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.cy2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cy2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345576
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bd1', '16.br1', '16.df1'], 'contains': ['64.bk1', '64.ch1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [4581, -1, 4589, -1], 'generators': [210955680, 94525320, 14928487, 302376360], 'label': '512.7530050.32.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '32.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.cz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345577
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.c1', '16.bs1', '16.dg1'], 'contains': ['64.bk1', '64.bo1', '64.by1', '64.cd1', '64.ci1'], 'core': '128.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [3242, -1, 3247, -1], 'generators': [302279880, 177960, 94525320, 15049567], 'label': '512.7530050.32.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.da1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345578
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.bf1', '16.bq1', '16.bq2', '16.dh1', '16.di1'], 'contains': ['64.bl1', '64.bn1', '64.bz1', '64.ca1', '64.cb1'], 'core': '128.c1', 'coset_action_label': None, 'count': 96, 'diagramx': [2365, -1, 2369, -1], 'generators': [94394167, 41141527, 15049576, 94525320], 'label': '512.7530050.32.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.db1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345579
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1'], 'contains': ['8.k1', '8.bi1', '8.bm1', '8.by1', '8.ca1', '8.cf1', '8.cg1'], 'core': '8.k1', 'coset_action_label': None, 'count': 2, 'diagramx': [937, -1, 939, -1], 'generators': [94525327, 139795320, 302279880, 41141527, 18684727, 94525320, 94525336], 'label': '512.7530050.4.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '4.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345580
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.d1', '16.bs1', '16.dh1'], 'contains': ['64.bk1', '64.bl1', '64.bp1', '64.by1', '64.cc1'], 'core': '128.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [3954, -1, 3962, -1], 'generators': [83473200, 94525320, 295108687, 94394176], 'label': '512.7530050.32.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345581
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.e1', '16.bs1', '16.di1'], 'contains': ['64.bl1', '64.bo1', '64.cc1', '64.cd1'], 'core': '128.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [3511, -1, 3517, -1], 'generators': [302279880, 94525320, 15049567, 94394176], 'label': '512.7530050.32.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345582
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.f1', '16.bt1', '16.dj1'], 'contains': ['64.bm1', '64.bo1', '64.cj1', '64.ck1'], 'core': '128.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [4838, -1, 4847, -1], 'generators': [302279880, 18684727, 94525320, 14928487], 'label': '512.7530050.32.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '32.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.de1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345583
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['16.bi1', '16.bt1'], 'contains': ['64.bm1', '64.bp1', '64.cj1'], 'core': '128.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [5505, -1, 5515, -1], 'generators': [132543496, 136090207, 94525320, 14928487], 'label': '512.7530050.32.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.k1', 'old_label': '32.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.df1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345584
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bj1', '16.bu1', '16.dg1', '16.di1', '16.dj1'], 'contains': ['64.bn1', '64.bo1', '64.cl1', '64.co1', '64.cq1'], 'core': '128.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [963, -1, 965, -1], 'generators': [302279880, 14928496, 207290280, 94525320], 'label': '512.7530050.32.dg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '32.dg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345585
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dg2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bj1', '16.bu2', '16.dg1', '16.di1'], 'contains': ['64.bn1', '64.bo1', '64.cm1', '64.cn1', '64.cp1'], 'core': '128.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [1160, -1, 1162, -1], 'generators': [207340560, 302279880, 14928496, 94525320], 'label': '512.7530050.32.dg2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.dg2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dg2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345586
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bk1', '16.bu1', '16.bu2', '16.dh1'], 'contains': ['64.bn1', '64.bp1', '64.cl1', '64.cn1', '64.cp1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [1734, -1, 1738, -1], 'generators': [41141527, 14928496, 132543487, 94525320], 'label': '512.7530050.32.dh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.dh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345587
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.di1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bn1', '16.bv1', '16.dj1'], 'contains': ['64.bo1', '64.cr1'], 'core': '128.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [447, -1, 448, -1], 'generators': [302279880, 94525320, 14928487, 48350160], 'label': '512.7530050.32.di1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '32.di1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.di1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345588
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.j1', '16.s1', '16.t1', '16.dk1', '16.dn1', '16.do1', '16.du1'], 'contains': ['64.d1', '64.bq1', '64.bu1', '64.cv1'], 'core': '64.d1', 'coset_action_label': None, 'count': 48, 'diagramx': [7441, -1, 7455, -1], 'generators': [83629560, 90882847, 94394167, 94525320], 'label': '512.7530050.32.dj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345589
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.k1', '16.s1', '16.dl1', '16.dm1', '16.dv1'], 'contains': ['64.e1', '64.bq1', '64.bu1', '64.cw1'], 'core': '64.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [7741, -1, 7755, -1], 'generators': [83473200, 18558000, 177960, 94525320], 'label': '512.7530050.32.dk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345590
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '2.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['256.e1', '256.h1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.a1', '4.f1', '4.h1', '4.i1', '4.l1', '4.q1', '4.u1'], 'core': '2.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [4282, 5338, 4290, 5341], 'generators': [139725360, 90882847, 83473200, 94525327, 177960, 94525336, 94525320, 41141527], 'label': '512.7530050.2.b1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.b1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.a1', '4.f1', '4.h1', '4.i1'], 'normalizer': '1.a1', 'old_label': '2.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345591
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['2.e1'], 'contains': ['8.l1', '8.bj1', '8.by1', '8.ca1'], 'core': '8.l1', 'coset_action_label': None, 'count': 2, 'diagramx': [1591, -1, 1593, -1], 'generators': [94525327, 139795320, 302279880, 41141527, 94525320, 94525336, 90892807], 'label': '512.7530050.4.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '4.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345592
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['16.u1', '16.dk1', '16.dl1', '16.dq1', '16.dr1', '16.du1', '16.dv1'], 'contains': ['64.bq1', '64.br1', '64.bu1', '64.cx1'], 'core': '128.d1', 'coset_action_label': None, 'count': 64, 'diagramx': [7972, -1, 7987, -1], 'generators': [83629560, 90882847, 139709647, 94525320], 'label': '512.7530050.32.dl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345593
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['16.v1', '16.dk1', '16.dl1', '16.ds1', '16.dt1', '16.du1', '16.dv1'], 'contains': ['64.bq1', '64.bt1', '64.bu1', '64.cy1'], 'core': '128.d1', 'coset_action_label': None, 'count': 64, 'diagramx': [8119, -1, 8134, -1], 'generators': [139806127, 83629560, 90882847, 94525320], 'label': '512.7530050.32.dm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345594
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.j1', '16.w1', '16.x1', '16.dm1', '16.dn1', '16.dq1', '16.ds1'], 'contains': ['64.f1', '64.bq1', '64.bu1'], 'core': '64.f1', 'coset_action_label': None, 'count': 48, 'diagramx': [7313, -1, 7327, -1], 'generators': [83629560, 90882847, 295032967, 94525320], 'label': '512.7530050.32.dn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345595
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.do1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.k1', '16.w1', '16.do1', '16.dr1', '16.dt1'], 'contains': ['64.g1', '64.bq1', '64.bu1'], 'core': '64.g1', 'coset_action_label': None, 'count': 16, 'diagramx': [7244, -1, 7258, -1], 'generators': [139795320, 302279880, 18558000, 94525320], 'label': '512.7530050.32.do1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.do1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.do1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345596
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.a1', '16.y1', '16.dm1', '16.dn1', '16.do1', '16.du1'], 'contains': ['64.d1', '64.bq1', '64.bv1', '64.cz1'], 'core': '64.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [6563, -1, 6575, -1], 'generators': [83629560, 90882847, 94525320, 295108687], 'label': '512.7530050.32.dp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345597
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.z1', '16.dq1', '16.dr1', '16.du1', '16.dv1'], 'contains': ['64.bq1', '64.br1', '64.bx1', '64.db1'], 'core': '128.d1', 'coset_action_label': None, 'count': 32, 'diagramx': [7905, -1, 7919, -1], 'generators': [83629560, 90882847, 167167, 94525320], 'label': '512.7530050.32.dq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345598
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bt1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.ba1', '16.ds1', '16.dt1', '16.du1', '16.dv1'], 'contains': ['64.bq1', '64.bt1', '64.dc1'], 'core': '128.d1', 'coset_action_label': None, 'count': 32, 'diagramx': [8209, -1, 8225, -1], 'generators': [83629560, 90882847, 10807, 94525320], 'label': '512.7530050.32.dr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345599
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ds1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.l1', '16.bb1', '16.be1', '16.dk1', '16.du1', '16.dw1', '16.dz1'], 'contains': ['64.d1', '64.br1', '64.bt1', '64.dd1'], 'core': '64.d1', 'coset_action_label': None, 'count': 48, 'diagramx': [6932, -1, 6945, -1], 'generators': [83629560, 94394167, 18684727, 94525320], 'label': '512.7530050.32.ds1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.ds1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ds1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345600
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bc1', '16.bf1', '16.dx1', '16.ea1', '16.eb1'], 'contains': ['64.d1', '64.bs1', '64.bz1', '64.ca1', '64.cb1'], 'core': '64.d1', 'coset_action_label': None, 'count': 48, 'diagramx': [2113, -1, 2117, -1], 'generators': [83629560, 207290280, 94525320, 94394176], 'label': '512.7530050.32.dt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.dt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345601
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.du1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.b1', '16.bg1', '16.dk1', '16.dm1', '16.dn1', '16.do1'], 'contains': ['64.d1', '64.bu1'], 'core': '64.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [6503, -1, 6515, -1], 'generators': [83629560, 98017927, 94525320, 295108687], 'label': '512.7530050.32.du1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.du1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.du1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345602
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 12, 'contained_in': ['4.a1', '4.b1', '4.c1', '4.f1'], 'contains': ['16.a1', '16.b1', '16.c1', '16.j1', '16.k1', '16.s1', '16.w1', '16.dm1', '16.do1'], 'core': '8.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6262, 5334, 6274, 5338], 'generators': [94525327, 83473200, 90882847, 177960, 94525320, 139725360], 'label': '512.7530050.8.a1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.a1', 'normal_contained_in': ['4.a1', '4.b1', '4.c1', '4.f1'], 'normal_contains': ['16.a1', '16.b1', '16.c1', '16.j1', '16.k1'], 'normalizer': '1.a1', 'old_label': '8.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345603
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.m1', '16.bb1', '16.dl1', '16.dv1', '16.dw1'], 'contains': ['64.e1', '64.br1', '64.bt1', '64.de1'], 'core': '64.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [7016, -1, 7029, -1], 'generators': [83473200, 90761040, 177960, 94525320], 'label': '512.7530050.32.dv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345604
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.n1', '16.bc1', '16.dp1', '16.dx1', '16.ed1'], 'contains': ['64.e1', '64.bs1', '64.ce1', '64.cf1', '64.cg1'], 'core': '64.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [2714, -1, 2718, -1], 'generators': [83473200, 207290280, 177960, 94525320], 'label': '512.7530050.32.dw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.dw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345605
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['16.o1', '16.bd1', '16.dp1', '16.dy1', '16.ed1'], 'contains': ['64.e1', '64.ch1'], 'core': '64.e1', 'coset_action_label': None, 'count': 16, 'diagramx': [4442, -1, 4451, -1], 'generators': [83629560, 48390487, 94525320, 139725360], 'label': '512.7530050.32.dx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '32.dx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345606
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.bh1', '16.dk1', '16.dl1', '16.dq1', '16.dr1'], 'contains': ['64.br1', '64.bu1'], 'core': '128.d1', 'coset_action_label': None, 'count': 32, 'diagramx': [7664, -1, 7679, -1], 'generators': [139806127, 83629560, 98017927, 94525320], 'label': '512.7530050.32.dy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345607
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.dz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.f1', '16.bi1', '16.dq1', '16.dw1', '16.dz1'], 'contains': ['64.f1', '64.br1', '64.cj1'], 'core': '64.f1', 'coset_action_label': None, 'count': 12, 'diagramx': [6004, -1, 6015, -1], 'generators': [83629560, 295032967, 18684727, 94525320], 'label': '512.7530050.32.dz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.dz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.dz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345608
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ea1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.bj1', '16.bk1', '16.dx1', '16.ea1'], 'contains': ['64.f1', '64.bs1', '64.cl1', '64.cn1', '64.cp1'], 'core': '64.f1', 'coset_action_label': None, 'count': 24, 'diagramx': [1678, -1, 1681, -1], 'generators': [83629560, 207290280, 295032976, 94525320], 'label': '512.7530050.32.ea1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.ea1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ea1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345609
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.eb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.n1', '16.bj1', '16.eb1', '16.ee1', '16.ef1'], 'contains': ['64.g1', '64.bs1', '64.cm1', '64.co1', '64.cq1'], 'core': '64.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [907, -1, 908, -1], 'generators': [139795320, 302279880, 207290280, 94525320], 'label': '512.7530050.32.eb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '32.eb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.eb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345610
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ec1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.bl1', '16.dk1', '16.dl1', '16.ds1', '16.dt1'], 'contains': ['64.bt1', '64.bu1'], 'core': '128.d1', 'coset_action_label': None, 'count': 32, 'diagramx': [8042, -1, 8058, -1], 'generators': [83629560, 98017927, 139709647, 94525320], 'label': '512.7530050.32.ec1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.ec1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ec1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345611
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ed1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['16.g1', '16.bm1', '16.ds1', '16.dw1', '16.dz1'], 'contains': ['64.f1', '64.bt1'], 'core': '64.f1', 'coset_action_label': None, 'count': 12, 'diagramx': [6223, -1, 6234, -1], 'generators': [83629560, 295032967, 11295367, 94525320], 'label': '512.7530050.32.ed1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '32.ed1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ed1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345612
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ee1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.p1', '16.bn1', '16.ec1', '16.ee1', '16.ef1'], 'contains': ['64.g1', '64.cr1'], 'core': '64.g1', 'coset_action_label': None, 'count': 8, 'diagramx': [756, -1, 758, -1], 'generators': [139795320, 302279880, 221881687, 94525320], 'label': '512.7530050.32.ee1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '32.ee1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ee1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345613
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['64.df1'], 'conjugacy_class_count': 12, 'contained_in': ['4.f1', '4.l1', '4.m1'], 'contains': ['16.a1', '16.b1', '16.d1', '16.j1', '16.t1', '16.x1', '16.dn1'], 'core': '8.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6415, 3840, 6427, 3842], 'generators': [83629560, 90882847, 94525320, 15049567, 94525336, 139725360], 'label': '512.7530050.8.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.b1', 'normal_contained_in': ['4.f1'], 'normal_contains': ['16.a1', '16.b1', '16.d1', '16.j1'], 'normalizer': '1.a1', 'old_label': '8.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345614
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ef1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['16.bw1', '16.df1', '16.dp1'], 'contains': ['64.bw1', '64.cf1', '64.ch1', '64.df1'], 'core': '256.b1', 'coset_action_label': None, 'count': 128, 'diagramx': [4657, -1, 4666, -1], 'generators': [207340560, 90882847, 94525320, 302376360], 'label': '512.7530050.32.ef1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '32.ef1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ef1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345615
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.eg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['16.bx1', '16.df1', '16.dp1'], 'contains': ['64.bw1', '64.cg1', '64.ch1'], 'core': '256.b1', 'coset_action_label': None, 'count': 128, 'diagramx': [4511, -1, 4520, -1], 'generators': [90882847, 94525320, 199710120, 302376360], 'label': '512.7530050.32.eg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '32.eg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.eg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345616
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.eh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cu1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.by1', '16.ca1', '16.dg1', '16.dh1', '16.dx1'], 'contains': ['64.by1', '64.bz1', '64.cb1', '64.ce1', '64.cg1', '64.cl1', '64.cp1'], 'core': '256.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [1791, -1, 1794, -1], 'generators': [83473200, 207340560, 94525320, 295108696], 'label': '512.7530050.32.eh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.eh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.eh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345617
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ei1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cs1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.bz1', '16.cb1', '16.dg1', '16.dh1', '16.dx1'], 'contains': ['64.by1', '64.bz1', '64.ca1', '64.ce1', '64.cf1', '64.cl1', '64.cn1'], 'core': '256.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [1946, -1, 1949, -1], 'generators': [83473200, 207290280, 94525320, 295108696], 'label': '512.7530050.32.ei1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.ei1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ei1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345618
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ej1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cu1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.ca1', '16.cc1', '16.dh1', '16.di1', '16.ea1'], 'contains': ['64.bz1', '64.cb1', '64.cc1', '64.cl1', '64.cp1'], 'core': '256.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [1622, -1, 1625, -1], 'generators': [41141527, 295032967, 15049576, 94525320], 'label': '512.7530050.32.ej1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.ej1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ej1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345619
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ek1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cu1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.by1', '16.cc1', '16.dg1', '16.di1', '16.eb1'], 'contains': ['64.bz1', '64.cb1', '64.cd1', '64.cm1', '64.cq1'], 'core': '256.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [1217, -1, 1219, -1], 'generators': [302279880, 94525320, 199710120, 94394176], 'label': '512.7530050.32.ek1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.ek1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ek1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345620
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.el1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cs1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['16.cb1', '16.cd1', '16.dh1', '16.di1', '16.ea1'], 'contains': ['64.bz1', '64.ca1', '64.cc1', '64.cl1', '64.cn1'], 'core': '256.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [1862, -1, 1865, -1], 'generators': [41141527, 15049576, 94525320, 295108687], 'label': '512.7530050.32.el1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.el1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.el1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345621
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.em1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cs1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['16.bz1', '16.cd1', '16.dg1', '16.di1', '16.eb1'], 'contains': ['64.bz1', '64.ca1', '64.cd1', '64.cm1', '64.co1'], 'core': '256.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [1287, -1, 1289, -1], 'generators': [302279880, 207290280, 94525320, 94394176], 'label': '512.7530050.32.em1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.em1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.em1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345622
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.en1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cu1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.n1', '16.by1', '16.dg1'], 'contains': ['64.ce1', '64.cg1', '64.ci1', '64.cm1', '64.cq1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [1020, -1, 1021, -1], 'generators': [302279880, 177960, 94525320, 199710120], 'label': '512.7530050.32.en1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.en1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.en1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345623
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.eo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cs1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['16.n1', '16.bz1', '16.dg1'], 'contains': ['64.ce1', '64.cf1', '64.ci1', '64.cm1', '64.co1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [1090, -1, 1092, -1], 'generators': [302279880, 207290280, 177960, 94525320], 'label': '512.7530050.32.eo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '32.eo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.eo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345624
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['4.c1', '4.d1', '4.e1', '4.g1'], 'contains': ['16.c1', '16.f1', '16.g1', '16.l1', '16.m1', '16.bb1', '16.dw1'], 'core': '8.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [5501, 4586, 5511, 4590], 'generators': [94525327, 83473200, 18684727, 177960, 94525320, 139725360], 'label': '512.7530050.8.c1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.c1', 'normal_contained_in': ['4.c1', '4.d1', '4.e1', '4.g1'], 'normal_contains': ['16.c1', '16.f1', '16.g1', '16.l1', '16.m1'], 'normalizer': '1.a1', 'old_label': '8.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345625
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.ep1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.ce1', '16.dj1', '16.ee1'], 'contains': ['64.ck1', '64.co1', '64.cr1'], 'core': '256.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [696, -1, 697, -1], 'generators': [302279880, 207290280, 18684727, 94525320], 'label': '512.7530050.32.ep1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '32.ep1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.ep1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345626
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.eq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['16.cf1', '16.dj1', '16.ee1'], 'contains': ['64.ck1', '64.cq1', '64.cr1'], 'core': '256.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [643, -1, 645, -1], 'generators': [302279880, 18684727, 94525320, 199679760], 'label': '512.7530050.32.eq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '32.eq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.eq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345627
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.er1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 384, 'contained_in': ['16.q1', '16.r1', '16.du1'], 'contains': ['64.cv1', '64.cx1', '64.cy1', '64.cz1', '64.db1', '64.dc1', '64.dd1'], 'core': '512.a1', 'coset_action_label': '32T12885', 'count': 1536, 'diagramx': [9454, -1, 9472, -1], 'generators': [94399200, 90882847, 14928480, 94394167], 'label': '512.7530050.32.er1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.er1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.er1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345628
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '32.es1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 128, 'contained_in': ['16.q1', '16.dv1'], 'contains': ['64.cw1', '64.cx1', '64.cy1', '64.da1', '64.db1', '64.dc1', '64.de1'], 'core': '512.a1', 'coset_action_label': '32T12882', 'count': 512, 'diagramx': [9539, -1, 9556, -1], 'generators': [83473200, 90882847, 167167, 94394160], 'label': '512.7530050.32.es1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '32.es1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32.es1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345629
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1', '32.ba1', '32.bb1', '32.bc1', '32.bd1', '32.be1'], 'contains': ['128.a1', '128.c1', '128.d1', '128.e1'], 'core': '64.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [6298, 2223, 6310, 2225], 'generators': [94525327, 83629560, 94525320], 'label': '512.7530050.64.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': ['32.a1', '32.b1', '32.c1', '32.d1', '32.e1'], 'normal_contains': ['128.a1', '128.c1', '128.d1'], 'normalizer': '1.a1', 'old_label': '64.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345630
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['32.e1', '32.bf1', '32.bg1', '32.bh1', '32.bi1', '32.bj1'], 'contains': ['128.a1', '128.c1', '128.f1'], 'core': '64.b1', 'coset_action_label': None, 'count': 3, 'diagramx': [6122, 1634, 6133, 1635], 'generators': [94525320, 14928487, 94525336], 'label': '512.7530050.64.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.b1', 'normal_contained_in': ['32.e1'], 'normal_contains': ['128.a1', '128.c1'], 'normalizer': '1.a1', 'old_label': '64.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345631
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.e1', '32.cp1', '32.cq1', '32.cr1', '32.cs1', '32.ct1', '32.cu1'], 'contains': ['128.a1', '128.b1'], 'core': '64.c1', 'coset_action_label': None, 'count': 1, 'diagramx': [5462, 1928, 5469, 1930], 'generators': [94525327, 94525320, 94525336], 'label': '512.7530050.64.c1', 'mobius_quo': -8, 'mobius_sub': 0, 'normal_closure': '64.c1', 'normal_contained_in': ['32.e1'], 'normal_contains': ['128.a1', '128.b1'], 'normalizer': '1.a1', 'old_label': '64.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345632
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['32.a1', '32.b1', '32.g1', '32.h1', '32.i1', '32.dj1', '32.dp1', '32.ds1', '32.dt1', '32.du1'], 'contains': ['128.d1', '128.m1', '128.y1'], 'core': '64.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [6223, 3560, 6234, 3562], 'generators': [83629560, 94394167, 94525320], 'label': '512.7530050.64.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.d1', 'normal_contained_in': ['32.a1', '32.b1', '32.g1', '32.h1', '32.i1'], 'normal_contains': ['128.d1'], 'normalizer': '1.a1', 'old_label': '64.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345633
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': [], 'conjugacy_class_count': 2, 'contained_in': ['32.a1', '32.f1', '32.g1', '32.j1', '32.k1', '32.dk1', '32.dv1', '32.dw1', '32.dx1'], 'contains': ['128.d1', '128.n1', '128.z1'], 'core': '64.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [6172, 5477, 6184, 4885], 'generators': [83473200, 177960, 94525320], 'label': '512.7530050.64.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.e1', 'normal_contained_in': ['32.a1', '32.f1', '32.g1', '32.j1', '32.k1'], 'normal_contains': ['128.d1'], 'normalizer': '1.a1', 'old_label': '64.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345634
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['32.c1', '32.d1', '32.g1', '32.h1', '32.dn1', '32.dz1', '32.ea1', '32.ed1'], 'contains': ['128.d1', '128.q1'], 'core': '64.f1', 'coset_action_label': None, 'count': 3, 'diagramx': [5557, 3147, 5567, 3149], 'generators': [83629560, 295032967, 94525320], 'label': '512.7530050.64.f1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.f1', 'normal_contained_in': ['32.c1', '32.d1', '32.g1', '32.h1'], 'normal_contains': ['128.d1'], 'normalizer': '1.a1', 'old_label': '64.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345635
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['64.s1', '64.cu1'], 'conjugacy_class_count': 6, 'contained_in': ['4.a1', '4.d1', '4.h1'], 'contains': ['16.c1', '16.n1', '16.bc1', '16.bj1', '16.by1', '16.bz1', '16.dg1', '16.dx1', '16.eb1'], 'core': '8.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [1590, 6796, 1593, 6801], 'generators': [83473200, 207290280, 177960, 94525320, 94525336, 139725360], 'label': '512.7530050.8.d1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.d1', 'normal_contained_in': ['4.a1', '4.d1', '4.h1'], 'normal_contains': ['16.c1', '16.n1'], 'normalizer': '1.a1', 'old_label': '8.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345636
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['32.c1', '32.i1', '32.k1', '32.l1', '32.m1', '32.do1', '32.eb1', '32.ee1'], 'contains': ['128.d1', '128.r1'], 'core': '64.g1', 'coset_action_label': None, 'count': 1, 'diagramx': [4514, 4417, 4523, 4443], 'generators': [139795320, 302279880, 94525320], 'label': '512.7530050.64.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '64.g1', 'normal_contained_in': ['32.c1', '32.i1', '32.k1', '32.l1', '32.m1'], 'normal_contains': ['128.d1'], 'normalizer': '1.a1', 'old_label': '64.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345637
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['32.n1', '32.o1', '32.p1', '32.r1', '32.s1', '32.t1', '32.u1', '32.ba1', '32.cg1'], 'contains': ['128.e1', '128.g1', '128.t1', '128.x1'], 'core': '256.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [8578, -1, 8594, -1], 'generators': [94525327, 90882847, 14928480], 'label': '512.7530050.64.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '64.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345638
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.h2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['32.q1', '32.r1', '32.s1', '32.t1', '32.ba1', '32.cg2'], 'contains': ['128.e1', '128.g1', '128.t1', '128.x2'], 'core': '256.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [8478, -1, 8494, -1], 'generators': [94525327, 90882847, 83629560], 'label': '512.7530050.64.h2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.h2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.h2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345639
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.a1', '32.n1', '32.r1', '32.v1', '32.ch1'], 'contains': ['128.e1', '128.h1', '128.u1', '128.y1', '128.z1'], 'core': '256.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8327, -1, 8342, -1], 'generators': [94525327, 83473200, 177960], 'label': '512.7530050.64.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345640
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.b1', '32.o1', '32.s1', '32.w1', '32.ch1'], 'contains': ['128.e1', '128.i1', '128.v1', '128.y1'], 'core': '256.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8277, -1, 8292, -1], 'generators': [83629560, 94394167, 94525336], 'label': '512.7530050.64.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345641
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['32.p1', '32.t1', '32.v1', '32.w1', '32.bb1', '32.ci1'], 'contains': ['128.e1', '128.j1', '128.w1', '128.ba1'], 'core': '256.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [8629, -1, 8645, -1], 'generators': [94525327, 83629560, 18684727], 'label': '512.7530050.64.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345642
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.s1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['32.q1', '32.u1', '32.v1', '32.w1', '32.bd1', '32.cj1'], 'contains': ['128.e1', '128.bb1'], 'core': '256.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [9008, -1, 9026, -1], 'generators': [94525327, 14928480, 11295367], 'label': '512.7530050.64.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '64.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345643
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['32.n1', '32.o1', '32.p1', '32.q1', '32.be1', '32.ck1'], 'contains': ['128.e1', '128.bc1'], 'core': '256.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [8739, -1, 8756, -1], 'generators': [94525327, 14928480, 98017927], 'label': '512.7530050.64.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345644
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['32.x1', '32.y1', '32.bf1', '32.cg1', '32.cg2'], 'contains': ['128.f1', '128.g1', '128.t1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [7584, -1, 7598, -1], 'generators': [90882847, 14928487, 94525336], 'label': '512.7530050.64.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345645
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.x1', '32.bg1', '32.ch1'], 'contains': ['128.f1', '128.h1', '128.i1', '128.u1', '128.v1'], 'core': '256.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [6865, -1, 6877, -1], 'generators': [83473200, 94394167, 94525336], 'label': '512.7530050.64.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '64.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345646
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['64.s1', '64.cu1'], 'conjugacy_class_count': 12, 'contained_in': ['4.a1', '4.b1', '4.e1', '4.i1'], 'contains': ['16.c1', '16.o1', '16.bd1', '16.dy1'], 'core': '8.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [4017, 7471, 4024, 7477], 'generators': [139725360, 83473200, 221841360, 94525327, 177960, 94525320], 'label': '512.7530050.8.e1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.e1', 'normal_contained_in': ['4.a1', '4.b1', '4.e1', '4.i1'], 'normal_contains': ['16.c1', '16.o1'], 'normalizer': '1.a1', 'old_label': '8.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345647
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.y1', '32.bh1', '32.ci1'], 'contains': ['128.f1', '128.j1', '128.w1'], 'core': '256.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [7634, -1, 7649, -1], 'generators': [18684727, 14928487, 94525336], 'label': '512.7530050.64.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '64.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345648
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['32.r1', '32.x1', '32.z1', '32.bk1', '32.cl1'], 'contains': ['128.g1', '128.h1', '128.bd1', '128.be1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [6915, -1, 6928, -1], 'generators': [94525327, 90882847, 302376360], 'label': '512.7530050.64.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '64.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345649
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.q2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['32.r1', '32.x1', '32.bk1', '32.cl2'], 'contains': ['128.g1', '128.h1', '128.bd1', '128.be2'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [7015, -1, 7029, -1], 'generators': [94525327, 90882847, 132452760], 'label': '512.7530050.64.q2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '64.q2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.q2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345650
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['32.s1', '32.x1', '32.bl1', '32.cl1', '32.cl2'], 'contains': ['128.g1', '128.i1', '128.bd1'], 'core': '256.a1', 'coset_action_label': None, 'count': 384, 'diagramx': [7066, -1, 7079, -1], 'generators': [132452767, 90882847, 94525336], 'label': '512.7530050.64.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '64.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345651
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 96, 'contained_in': ['32.t1', '32.y1', '32.bm1', '32.cm1'], 'contains': ['128.g1', '128.j1', '128.bf1'], 'core': '256.a1', 'coset_action_label': None, 'count': 768, 'diagramx': [7684, -1, 7699, -1], 'generators': [94525327, 94399200, 90882847], 'label': '512.7530050.64.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '64.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345652
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['32.z1', '32.bo1', '32.cn1'], 'contains': ['128.h1', '128.k1', '128.bg1', '128.bh1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [5039, -1, 5049, -1], 'generators': [83473200, 183417240, 94525336], 'label': '512.7530050.64.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.cb1', 'old_label': '64.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345653
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cy1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['32.z1', '32.bq1', '32.co1'], 'contains': ['128.h1', '128.bi1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [5347, -1, 5352, -1], 'generators': [94525327, 210955680, 302376360], 'label': '512.7530050.64.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.cb1', 'old_label': '64.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345654
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.bt1', '32.cn1'], 'contains': ['128.i1', '128.k1', '128.bg1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [4989, -1, 4998, -1], 'generators': [94394167, 41141527, 94525336], 'label': '512.7530050.64.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.cw1', 'old_label': '64.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345655
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.ba1', '32.bf1', '32.bk1', '32.bl1', '32.bm1', '32.cp1'], 'contains': ['128.a1', '128.g1', '128.l1'], 'core': '128.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6765, -1, 6777, -1], 'generators': [94525327, 90882847, 94525320], 'label': '512.7530050.64.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345656
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.a1', '32.bg1', '32.bk1', '32.bn1', '32.bo1', '32.bp1', '32.bq1', '32.br1', '32.bv1', '32.cq1'], 'contains': ['128.a1', '128.h1', '128.m1', '128.n1'], 'core': '128.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4397, -1, 4405, -1], 'generators': [94525327, 83473200, 94525320], 'label': '512.7530050.64.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '64.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345657
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['64.s1', '64.cu1'], 'conjugacy_class_count': 6, 'contained_in': ['4.b1', '4.d1', '4.j1'], 'contains': ['16.c1', '16.p1', '16.bn1', '16.ec1'], 'core': '8.f1', 'coset_action_label': None, 'count': 6, 'diagramx': [1277, 6120, 1279, 6125], 'generators': [94525327, 83473200, 177960, 94525320, 48350160, 139725360], 'label': '512.7530050.8.f1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.f1', 'normal_contained_in': ['4.b1', '4.d1', '4.j1'], 'normal_contains': ['16.c1', '16.p1'], 'normalizer': '1.a1', 'old_label': '8.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345658
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.b1', '32.bg1', '32.bl1', '32.bs1', '32.bt1', '32.bu1', '32.bv1', '32.bw1', '32.cq1'], 'contains': ['128.a1', '128.i1', '128.m1'], 'core': '128.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [4448, -1, 4455, -1], 'generators': [94525320, 15049567, 94525336], 'label': '512.7530050.64.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '64.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345659
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.bb1', '32.bh1', '32.bm1', '32.bx1', '32.by1', '32.cr1'], 'contains': ['128.a1', '128.j1', '128.o1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6614, -1, 6626, -1], 'generators': [94525327, 18684727, 94525320], 'label': '512.7530050.64.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.r1', 'old_label': '64.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345660
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.ce1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.bc1', '32.bi1', '32.bn1', '32.bo1', '32.bs1', '32.bt1', '32.bz1', '32.ca1', '32.cb1', '32.cc1', '32.cs1'], 'contains': ['128.a1', '128.k1', '128.p1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2873, -1, 2878, -1], 'generators': [207290280, 94525320, 94525336], 'label': '512.7530050.64.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345661
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.w1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.c1', '32.bj1', '32.br1', '32.bw1', '32.bx1', '32.bz1', '32.cb1', '32.cd1', '32.ce1', '32.ct1'], 'contains': ['128.a1', '128.q1', '128.r1'], 'core': '128.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3594, -1, 3601, -1], 'generators': [94525327, 302279880, 94525320], 'label': '512.7530050.64.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '64.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345662
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.w1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.d1', '32.bj1', '32.bv1', '32.by1', '32.ca1', '32.cc1', '32.cf1', '32.ct1'], 'contains': ['128.a1', '128.q1'], 'core': '128.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [3780, -1, 3788, -1], 'generators': [132543487, 94525320, 94525336], 'label': '512.7530050.64.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '64.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345663
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.cd1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.bc1', '32.bi1', '32.bn1', '32.bp1', '32.bs1', '32.bu1', '32.bz1', '32.ca1', '32.cd1', '32.cf1', '32.cu1'], 'contains': ['128.a1', '128.s1'], 'core': '128.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [2797, -1, 2802, -1], 'generators': [94525320, 94525336, 199710120], 'label': '512.7530050.64.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345664
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.e1', '32.cg1', '32.cg2', '32.ch1', '32.ci1', '32.cj1', '32.ck1'], 'contains': ['128.b1', '128.e1', '128.f1'], 'core': '128.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [8377, -1, 8393, -1], 'generators': [94525327, 83629560, 94525336], 'label': '512.7530050.64.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '64.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345665
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['32.cg1', '32.cg2', '32.cl1', '32.cl2', '32.cm1', '32.cp1'], 'contains': ['128.b1', '128.g1'], 'core': '128.b1', 'coset_action_label': None, 'count': 64, 'diagramx': [7483, -1, 7498, -1], 'generators': [94525327, 90882847, 94525336], 'label': '512.7530050.64.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345666
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.ch1', '32.cl1', '32.cl2', '32.cn1', '32.co1', '32.cq1'], 'contains': ['128.b1', '128.h1', '128.i1'], 'core': '128.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [6513, -1, 6525, -1], 'generators': [94525327, 83473200, 94525336], 'label': '512.7530050.64.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '64.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345667
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.ci1', '32.cm1', '32.cr1'], 'contains': ['128.b1', '128.j1'], 'core': '128.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [7534, -1, 7548, -1], 'generators': [94525327, 18684727, 94525336], 'label': '512.7530050.64.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '64.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345668
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['64.df1'], 'conjugacy_class_count': 6, 'contained_in': ['4.g1', '4.n1', '4.o1'], 'contains': ['16.e1', '16.f1', '16.g1', '16.l1', '16.be1', '16.dz1'], 'core': '8.g1', 'coset_action_label': None, 'count': 6, 'diagramx': [5399, 2044, 5409, 2045], 'generators': [139795320, 302279880, 18684727, 94525320, 15049567, 94525336], 'label': '512.7530050.8.g1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.g1', 'normal_contained_in': ['4.g1'], 'normal_contains': ['16.e1', '16.f1', '16.g1', '16.l1'], 'normalizer': '1.a1', 'old_label': '8.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345669
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.ce1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.cn1', '32.cs1'], 'contains': ['128.b1', '128.k1'], 'core': '128.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [5140, -1, 5149, -1], 'generators': [94525327, 41141527, 94525336], 'label': '512.7530050.64.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.ce1', 'old_label': '64.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345670
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.ba1', '32.bf1', '32.cv1', '32.cw1', '32.cx1'], 'contains': ['128.c1', '128.l1', '128.t1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [6815, -1, 6827, -1], 'generators': [90882847, 94525320, 14928487], 'label': '512.7530050.64.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345671
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.a1', '32.bg1', '32.cv1', '32.cy1', '32.cy2', '32.cz1', '32.da1', '32.dc1'], 'contains': ['128.c1', '128.m1', '128.n1', '128.u1'], 'core': '128.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [4581, -1, 4589, -1], 'generators': [83473200, 94394167, 94525320], 'label': '512.7530050.64.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '64.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345672
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.b1', '32.bg1', '32.cw1', '32.db1', '32.dc1', '32.dd1'], 'contains': ['128.c1', '128.m1', '128.v1'], 'core': '128.c1', 'coset_action_label': None, 'count': 12, 'diagramx': [5089, -1, 5099, -1], 'generators': [94394167, 15049576, 94525320], 'label': '512.7530050.64.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '64.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345673
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.bb1', '32.bh1', '32.cx1', '32.de1', '32.df1'], 'contains': ['128.c1', '128.o1', '128.w1'], 'core': '128.c1', 'coset_action_label': None, 'count': 24, 'diagramx': [6664, -1, 6676, -1], 'generators': [18684727, 94525320, 14928487], 'label': '512.7530050.64.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.r1', 'old_label': '64.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345674
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cz1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.bc1', '32.bi1', '32.cy1', '32.cy2', '32.db1', '32.dg1', '32.dg2', '32.dh1'], 'contains': ['128.c1', '128.p1', '128.s1'], 'core': '128.c1', 'coset_action_label': None, 'count': 48, 'diagramx': [2160, -1, 2164, -1], 'generators': [14928496, 207290280, 94525320], 'label': '512.7530050.64.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345675
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.c1', '32.bj1', '32.da1', '32.dd1', '32.de1', '32.dg1', '32.dg2', '32.di1'], 'contains': ['128.c1', '128.q1', '128.r1'], 'core': '128.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [3447, -1, 3453, -1], 'generators': [302279880, 94525320, 14928487], 'label': '512.7530050.64.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '64.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345676
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.d1', '32.bj1', '32.dc1', '32.df1', '32.dh1'], 'contains': ['128.c1', '128.q1'], 'core': '128.c1', 'coset_action_label': None, 'count': 6, 'diagramx': [3954, -1, 3962, -1], 'generators': [14928496, 132543487, 94525320], 'label': '512.7530050.64.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '64.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345677
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.f1', '32.ba1', '32.dj1', '32.dk1', '32.dl1', '32.dm1', '32.dn1', '32.do1', '32.dp1', '32.dq1', '32.dr1'], 'contains': ['128.d1', '128.l1', '128.x1', '128.x2'], 'core': '128.d1', 'coset_action_label': None, 'count': 16, 'diagramx': [7433, -1, 7447, -1], 'generators': [83629560, 18558000, 94525320], 'label': '512.7530050.64.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '64.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345678
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.l1', '32.bb1', '32.dl1', '32.dq1', '32.ds1', '32.dv1', '32.dy1', '32.dz1'], 'contains': ['128.d1', '128.o1', '128.ba1'], 'core': '128.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [6966, -1, 6978, -1], 'generators': [83629560, 90761040, 94525320], 'label': '512.7530050.64.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '64.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345679
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': ['64.df1'], 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '4.q1', '4.t1'], 'contains': ['16.a1', '16.h1', '16.y1', '16.bo1', '16.cj1', '16.co1', '16.ct1'], 'core': '8.h1', 'coset_action_label': None, 'count': 2, 'diagramx': [6644, 3244, 6657, 3246], 'generators': [94525327, 83629560, 90882847, 94525320, 94525336, 139725360], 'label': '512.7530050.8.h1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': ['4.f1'], 'normal_contains': ['16.a1', '16.h1'], 'normalizer': '1.a1', 'old_label': '8.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345680
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cz1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.bc1', '32.dt1', '32.dw1', '32.ea1', '32.eb1'], 'contains': ['128.d1', '128.p1', '128.s1'], 'core': '128.d1', 'coset_action_label': None, 'count': 16, 'diagramx': [2115, -1, 2119, -1], 'generators': [83629560, 207290280, 94525320], 'label': '512.7530050.64.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345681
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.s1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.m1', '32.bd1', '32.dm1', '32.dr1', '32.ds1', '32.dv1', '32.ec1', '32.ed1'], 'contains': ['128.d1', '128.bb1'], 'core': '128.d1', 'coset_action_label': None, 'count': 8, 'diagramx': [7133, -1, 7146, -1], 'generators': [83629560, 98139720, 94525320], 'label': '512.7530050.64.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '64.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345682
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.j1', '32.be1', '32.dj1', '32.dk1', '32.dl1', '32.dm1', '32.dn1', '32.do1', '32.du1', '32.dy1', '32.ec1'], 'contains': ['128.d1', '128.bc1'], 'core': '128.d1', 'coset_action_label': None, 'count': 16, 'diagramx': [7367, -1, 7380, -1], 'generators': [83629560, 11422080, 94525320], 'label': '512.7530050.64.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '64.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345683
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.bk1', '32.bl1', '32.cv1', '32.cw1', '32.dp1'], 'contains': ['128.l1', '128.m1', '128.bd1'], 'core': '256.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [6563, -1, 6575, -1], 'generators': [132452767, 90882847, 94525320], 'label': '512.7530050.64.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '64.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345684
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.f1', '32.bk1', '32.cv1', '32.ef1', '32.eg1'], 'contains': ['128.l1', '128.n1', '128.be1', '128.be2'], 'core': '256.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [6072, -1, 6083, -1], 'generators': [18558000, 94525320, 302376360], 'label': '512.7530050.64.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '64.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345685
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['32.bm1', '32.cx1', '32.dq1'], 'contains': ['128.l1', '128.o1', '128.bf1'], 'core': '256.b1', 'coset_action_label': None, 'count': 128, 'diagramx': [7199, -1, 7213, -1], 'generators': [90882847, 167167, 94525320], 'label': '512.7530050.64.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '64.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345686
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cq1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.g1', '32.br1', '32.bv1', '32.da1', '32.dc1', '32.eh1', '32.ei1'], 'contains': ['128.m1', '128.n1', '128.q1'], 'core': '256.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [3673, -1, 3679, -1], 'generators': [83473200, 94525320, 295108687], 'label': '512.7530050.64.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345687
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cv1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['32.bn1', '32.bs1', '32.cy1', '32.db1', '32.dt1', '32.eh1', '32.ei1', '32.ej1', '32.ek1', '32.el1', '32.em1'], 'contains': ['128.m1', '128.p1', '128.s1'], 'core': '256.b1', 'coset_action_label': None, 'count': 96, 'diagramx': [2071, -1, 2075, -1], 'generators': [207290280, 15049576, 94525320], 'label': '512.7530050.64.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345688
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.bo1', '32.bt1', '32.cy2', '32.db1', '32.dt1', '32.ei1', '32.el1', '32.em1'], 'contains': ['128.m1', '128.p1', '128.bg1'], 'core': '256.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [2423, -1, 2477, -1], 'generators': [183417240, 15049576, 94525320], 'label': '512.7530050.64.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345689
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cx1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.bp1', '32.bu1', '32.cy2', '32.db1', '32.dt1', '32.eh1', '32.ej1', '32.ek1'], 'contains': ['128.m1', '128.s1'], 'core': '256.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [2223, -1, 2227, -1], 'generators': [183300480, 15049576, 94525320], 'label': '512.7530050.64.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345690
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['64.df1'], 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '4.p1', '4.u1'], 'contains': ['16.b1', '16.h1', '16.bg1', '16.cs1'], 'core': '8.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [6554, 2719, 6568, 2721], 'generators': [94525327, 83629560, 94525320, 18669007, 94525336, 139725360], 'label': '512.7530050.8.i1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.i1', 'normal_contained_in': ['4.f1'], 'normal_contains': ['16.b1', '16.h1'], 'normalizer': '1.a1', 'old_label': '8.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345691
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cq1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.h1', '32.bv1', '32.bw1', '32.dc1', '32.dd1', '32.ej1', '32.el1'], 'contains': ['128.m1', '128.q1'], 'core': '256.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [3717, -1, 3724, -1], 'generators': [15049576, 94525320, 295108687], 'label': '512.7530050.64.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345692
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cq1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['32.i1', '32.br1', '32.bw1', '32.da1', '32.dd1', '32.ek1', '32.em1'], 'contains': ['128.m1', '128.r1'], 'core': '256.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [3511, -1, 3517, -1], 'generators': [94394167, 302279880, 94525320], 'label': '512.7530050.64.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345693
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cv1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.bn1', '32.cy2', '32.dw1', '32.eh1', '32.ei1', '32.en1', '32.eo1'], 'contains': ['128.n1', '128.p1', '128.s1'], 'core': '256.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [2027, -1, 2031, -1], 'generators': [83473200, 207290280, 94525320], 'label': '512.7530050.64.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ce1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345694
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.bo1', '32.cy1', '32.dw1', '32.ef1', '32.ei1', '32.eo1'], 'contains': ['128.n1', '128.p1', '128.bh1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [2714, -1, 2718, -1], 'generators': [83473200, 183417240, 94525320], 'label': '512.7530050.64.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '64.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345695
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cx1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.bp1', '32.cy1', '32.dw1', '32.eg1', '32.eh1', '32.en1'], 'contains': ['128.n1', '128.s1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [2548, -1, 2552, -1], 'generators': [83473200, 183300480, 94525320], 'label': '512.7530050.64.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '64.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345696
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cy1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['32.bq1', '32.cz1', '32.dx1', '32.ef1', '32.eg1'], 'contains': ['128.n1', '128.bi1'], 'core': '256.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [4648, -1, 4656, -1], 'generators': [63267847, 94525320, 302376360], 'label': '512.7530050.64.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '64.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ch1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345697
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cq1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['32.k1', '32.br1', '32.da1', '32.en1', '32.eo1'], 'contains': ['128.n1', '128.r1'], 'core': '256.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [2376, -1, 2429, -1], 'generators': [302279880, 177960, 94525320], 'label': '512.7530050.64.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ci1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345698
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.bx1', '32.by1', '32.de1', '32.df1', '32.dz1'], 'contains': ['128.o1', '128.q1'], 'core': '256.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [5415, -1, 5421, -1], 'generators': [18684727, 132543487, 94525320], 'label': '512.7530050.64.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.k1', 'old_label': '64.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345699
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.l1', '32.bx1', '32.de1', '32.ep1', '32.eq1'], 'contains': ['128.o1', '128.r1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [4838, -1, 4847, -1], 'generators': [90761040, 302279880, 94525320], 'label': '512.7530050.64.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '64.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ck1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345700
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.db1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['32.bz1', '32.ca1', '32.dg1', '32.dh1', '32.ea1', '32.eh1', '32.ei1', '32.ej1', '32.el1'], 'contains': ['128.p1', '128.q1', '128.s1'], 'core': '256.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [1799, -1, 1801, -1], 'generators': [132543496, 94525320, 199710120], 'label': '512.7530050.64.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345701
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '2.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['256.e1', '256.h1', '256.i1'], 'conjugacy_class_count': 2, 'contained_in': ['1.a1'], 'contains': ['4.b1', '4.f1', '4.i1', '4.j1'], 'core': '2.c1', 'coset_action_label': None, 'count': 2, 'diagramx': [4057, 4730, 4064, 4734], 'generators': [139725360, 83473200, 221841360, 94525327, 94399200, 177960, 94525336, 94525320], 'label': '512.7530050.2.c1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.c1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.b1', '4.f1', '4.i1', '4.j1'], 'normalizer': '1.a1', 'old_label': '2.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345702
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['4.f1', '4.g1', '4.h1', '4.i1', '4.j1'], 'contains': ['16.c1', '16.d1', '16.e1', '16.h1', '16.i1', '16.bs1', '16.cz1'], 'core': '8.j1', 'coset_action_label': None, 'count': 1, 'diagramx': [3804, 1458, 3811, 1459], 'generators': [139725360, 83473200, 94525327, 177960, 94525336, 94525320], 'label': '512.7530050.8.j1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.j1', 'normal_contained_in': ['4.f1', '4.g1', '4.h1', '4.i1', '4.j1'], 'normal_contains': ['16.c1', '16.d1', '16.e1', '16.h1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345703
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.db1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.bz1', '32.dg2', '32.eb1', '32.ek1', '32.em1', '32.en1', '32.eo1'], 'contains': ['128.p1', '128.r1', '128.s1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [1267, -1, 1266, -1], 'generators': [207340560, 302279880, 94525320], 'label': '512.7530050.64.cm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.cm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345704
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dc1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.cb1', '32.cc1', '32.dg2', '32.dh1', '32.ea1', '32.ei1', '32.el1'], 'contains': ['128.p1', '128.q1'], 'core': '256.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [1862, -1, 1865, -1], 'generators': [132543496, 207290280, 94525320], 'label': '512.7530050.64.cn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.cn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345705
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.co1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dc1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.cb1', '32.dg1', '32.eb1', '32.em1', '32.eo1', '32.ep1'], 'contains': ['128.p1', '128.r1'], 'core': '256.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [1163, -1, 1135, -1], 'generators': [302279880, 207290280, 94525320], 'label': '512.7530050.64.co1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '64.co1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.co1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345706
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dd1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['32.cd1', '32.cf1', '32.dg2', '32.dh1', '32.ea1', '32.eh1', '32.ej1'], 'contains': ['128.q1', '128.s1'], 'core': '256.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [1734, -1, 1737, -1], 'generators': [132543496, 94525320, 199679760], 'label': '512.7530050.64.cp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '64.cp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345707
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.dd1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.cd1', '32.dg1', '32.eb1', '32.ek1', '32.en1', '32.eq1'], 'contains': ['128.r1', '128.s1'], 'core': '256.b1', 'coset_action_label': None, 'count': 8, 'diagramx': [1099, -1, 1068, -1], 'generators': [302279880, 94525320, 199679760], 'label': '512.7530050.64.cq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '64.cq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345708
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cr1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.de1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['32.ce1', '32.di1', '32.ee1', '32.ep1', '32.eq1'], 'contains': ['128.r1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [670, -1, 671, -1], 'generators': [302279880, 221881687, 94525320], 'label': '512.7530050.64.cr1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.p1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '64.cr1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cr1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345709
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['32.r1', '32.x1', '32.cv1'], 'contains': ['128.t1', '128.u1', '128.bd1', '128.be1', '128.be2'], 'core': '512.a1', 'coset_action_label': None, 'count': 384, 'diagramx': [7249, -1, 7263, -1], 'generators': [90882847, 14928487, 302376360], 'label': '512.7530050.64.cs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '64.cs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345710
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.ct1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['32.s1', '32.x1', '32.cw1'], 'contains': ['128.t1', '128.v1', '128.bd1'], 'core': '512.a1', 'coset_action_label': None, 'count': 384, 'diagramx': [7300, -1, 7313, -1], 'generators': [132452767, 14928496, 298746847], 'label': '512.7530050.64.ct1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '64.ct1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.ct1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345711
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 96, 'contained_in': ['32.t1', '32.y1', '32.cx1'], 'contains': ['128.t1', '128.w1', '128.bf1'], 'core': '512.a1', 'coset_action_label': None, 'count': 768, 'diagramx': [7735, -1, 7750, -1], 'generators': [94399200, 90882847, 14928487], 'label': '512.7530050.64.cu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '64.cu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345712
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['32.n1', '32.o1', '32.dj1', '32.er1'], 'contains': ['128.x1', '128.y1', '128.bc1'], 'core': '512.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [8676, -1, 8692, -1], 'generators': [90882847, 14928480, 94394167], 'label': '512.7530050.64.cv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.cv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345713
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['64.df1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1', '4.r1', '4.v1'], 'contains': ['16.f1', '16.i1', '16.bi1', '16.bt1', '16.cp1', '16.da1'], 'core': '8.k1', 'coset_action_label': None, 'count': 1, 'diagramx': [5248, 891, 5259, 891], 'generators': [94525327, 139795320, 302279880, 18684727, 94525320, 94525336], 'label': '512.7530050.8.k1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.k1', 'normal_contained_in': ['4.g1'], 'normal_contains': ['16.f1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345714
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['32.n1', '32.dk1', '32.es1'], 'contains': ['128.x1', '128.z1', '128.bc1'], 'core': '512.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [8854, -1, 8870, -1], 'generators': [83473200, 18558000, 94394160], 'label': '512.7530050.64.cw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.k1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.cw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345715
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 64, 'contained_in': ['32.p1', '32.dl1', '32.er1', '32.es1'], 'contains': ['128.x1', '128.ba1', '128.bc1'], 'core': '512.a1', 'coset_action_label': None, 'count': 256, 'diagramx': [9071, -1, 9089, -1], 'generators': [90882847, 14928480, 139709647], 'label': '512.7530050.64.cx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.cx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345716
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cy1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 64, 'contained_in': ['32.q1', '32.dm1', '32.er1', '32.es1'], 'contains': ['128.x2', '128.bb1', '128.bc1'], 'core': '512.a1', 'coset_action_label': None, 'count': 256, 'diagramx': [9135, -1, 9153, -1], 'generators': [139806127, 90882847, 83629560], 'label': '512.7530050.64.cy1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.cy1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cy1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345717
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.cz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['32.r1', '32.s1', '32.dp1', '32.er1'], 'contains': ['128.x1', '128.x2', '128.y1', '128.bd1'], 'core': '512.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [8528, -1, 8544, -1], 'generators': [90882847, 83629560, 295108687], 'label': '512.7530050.64.cz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.cz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.cz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345718
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.da1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['32.f1', '32.r1', '32.es1'], 'contains': ['128.x1', '128.x2', '128.z1', '128.be1', '128.be2'], 'core': '512.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [8428, -1, 8443, -1], 'generators': [83629560, 18558000, 139725360], 'label': '512.7530050.64.da1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.da1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.da1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345719
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.db1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 64, 'contained_in': ['32.t1', '32.dq1', '32.er1', '32.es1'], 'contains': ['128.x1', '128.x2', '128.ba1', '128.bf1'], 'core': '512.a1', 'coset_action_label': None, 'count': 256, 'diagramx': [8807, -1, 8822, -1], 'generators': [90882847, 83629560, 167167], 'label': '512.7530050.64.db1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.db1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.db1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345720
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.dc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bt1', 'complements': None, 'conjugacy_class_count': 64, 'contained_in': ['32.u1', '32.dr1', '32.er1', '32.es1'], 'contains': ['128.x1', '128.bb1'], 'core': '512.a1', 'coset_action_label': None, 'count': 128, 'diagramx': [9326, -1, 9345, -1], 'generators': [90882847, 14928480, 10807], 'label': '512.7530050.64.dc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '64.dc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.dc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345721
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.dd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['32.v1', '32.w1', '32.ds1', '32.er1'], 'contains': ['128.y1', '128.ba1', '128.bb1'], 'core': '512.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [8898, -1, 8917, -1], 'generators': [14928480, 94394167, 18684727], 'label': '512.7530050.64.dd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.dd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.dd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345722
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.de1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['32.v1', '32.dv1', '32.es1'], 'contains': ['128.z1', '128.ba1', '128.bb1'], 'core': '512.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [8942, -1, 8961, -1], 'generators': [83473200, 90761040, 94394160], 'label': '512.7530050.64.de1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '64.de1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.de1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345723
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '64.df1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 64, 'contained_in': ['32.z1', '32.ef1'], 'contains': ['128.be1', '128.bh1', '128.bi1'], 'core': '512.a1', 'coset_action_label': None, 'count': 512, 'diagramx': [5284, -1, 5288, -1], 'generators': [207340560, 90882847, 302376360], 'label': '512.7530050.64.df1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.cb1', 'old_label': '64.df1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64.df1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345724
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.l1', 'complements': ['64.df1'], 'conjugacy_class_count': 1, 'contained_in': ['4.g1', '4.s1', '4.w1'], 'contains': ['16.g1', '16.i1', '16.bm1', '16.cr1'], 'core': '8.l1', 'coset_action_label': None, 'count': 1, 'diagramx': [5652, 288, 5663, 288], 'generators': [94525327, 139795320, 302279880, 94525320, 94525336, 90892807], 'label': '512.7530050.8.l1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '8.l1', 'normal_contained_in': ['4.g1'], 'normal_contains': ['16.g1', '16.i1'], 'normalizer': '1.a1', 'old_label': '8.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345725
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['64.a1', '64.b1', '64.c1', '64.w1', '64.x1', '64.y1', '64.z1', '64.ba1', '64.bb1', '64.bc1', '64.bd1'], 'contains': ['256.a1', '256.b1'], 'core': '128.a1', 'coset_action_label': None, 'count': 3, 'diagramx': [5140, 1928, 5149, 1930], 'generators': [94525327, 94525320], 'label': '512.7530050.128.a1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '128.a1', 'normal_contained_in': ['64.a1', '64.b1', '64.c1'], 'normal_contains': ['256.a1', '256.b1'], 'normalizer': '1.a1', 'old_label': '128.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345726
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['4.k1'], 'conjugacy_class_count': 4, 'contained_in': ['64.c1', '64.be1', '64.bf1', '64.bg1', '64.bh1', '64.bi1'], 'contains': ['256.a1'], 'core': '128.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [7015, 2223, 7029, 2225], 'generators': [94525327, 94525336], 'label': '512.7530050.128.b1', 'mobius_quo': 2, 'mobius_sub': 0, 'normal_closure': '128.b1', 'normal_contained_in': ['64.c1'], 'normal_contains': ['256.a1'], 'normalizer': '1.a1', 'old_label': '128.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345727
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['64.a1', '64.b1', '64.bj1', '64.bk1', '64.bl1', '64.bm1', '64.bn1', '64.bo1', '64.bp1'], 'contains': ['256.b1', '256.c1'], 'core': '128.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [5190, 1634, 5199, 1635], 'generators': [94525320, 14928487], 'label': '512.7530050.128.c1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.c1', 'normal_contained_in': ['64.a1', '64.b1'], 'normal_contains': ['256.b1'], 'normalizer': '1.a1', 'old_label': '128.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345728
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['64.a1', '64.d1', '64.e1', '64.f1', '64.g1', '64.bq1', '64.br1', '64.bs1', '64.bt1', '64.bu1'], 'contains': ['256.b1', '256.d1'], 'core': '128.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [6714, 3354, 6727, 3354], 'generators': [83629560, 94525320], 'label': '512.7530050.128.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '128.d1', 'normal_contained_in': ['64.a1', '64.d1', '64.e1', '64.f1', '64.g1'], 'normal_contains': ['256.b1'], 'normalizer': '1.a1', 'old_label': '128.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345729
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['64.a1', '64.h1', '64.h2', '64.i1', '64.j1', '64.k1', '64.l1', '64.m1', '64.be1'], 'contains': ['256.a1', '256.c1', '256.d1'], 'core': '256.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [8428, -1, 8443, -1], 'generators': [94525327, 83629560], 'label': '512.7530050.128.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '128.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345730
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['64.b1', '64.n1', '64.o1', '64.p1', '64.be1'], 'contains': ['256.a1', '256.c1'], 'core': '256.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [7167, -1, 7180, -1], 'generators': [14928487, 94525336], 'label': '512.7530050.128.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '128.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345731
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['64.h1', '64.h2', '64.n1', '64.q1', '64.q2', '64.r1', '64.s1', '64.w1', '64.bf1'], 'contains': ['256.a1', '256.e1'], 'core': '256.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [7217, -1, 7230, -1], 'generators': [94525327, 90882847], 'label': '512.7530050.128.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '128.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345732
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['64.i1', '64.o1', '64.q1', '64.q2', '64.t1', '64.u1', '64.x1', '64.bg1'], 'contains': ['256.a1', '256.f1', '256.g1'], 'core': '256.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6614, -1, 6626, -1], 'generators': [94525327, 83473200], 'label': '512.7530050.128.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '128.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345733
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['64.j1', '64.o1', '64.r1', '64.v1', '64.y1', '64.bg1'], 'contains': ['256.a1', '256.f1'], 'core': '256.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6765, -1, 6777, -1], 'generators': [15049567, 94525336], 'label': '512.7530050.128.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '128.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345734
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.j1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['64.k1', '64.p1', '64.s1', '64.z1', '64.bh1'], 'contains': ['256.a1', '256.h1'], 'core': '256.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [7584, -1, 7598, -1], 'generators': [94525327, 18684727], 'label': '512.7530050.128.j1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '128.j1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.j1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345735
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['64.s1', '64.cu1', '64.r1', '64.ct1', '64.bf1', '64.n1', '64.bh1', '64.p1'], 'conjugacy_class_count': 32, 'contained_in': ['4.a1', '4.k1'], 'contains': ['16.k1', '16.n1', '16.o1', '16.dp1', '16.ed1'], 'core': '8.m1', 'coset_action_label': None, 'count': 32, 'diagramx': [3906, 9712, 3913, 9720], 'generators': [83473200, 90882847, 207290280, 177960, 94525320, 139725360], 'label': '512.7530050.8.m1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.m1', 'normal_contained_in': ['4.a1', '4.k1'], 'normal_contains': ['16.k1', '16.n1', '16.o1'], 'normalizer': '1.a1', 'old_label': '8.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345736
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.k1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.ce1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['64.t1', '64.v1', '64.ba1', '64.bi1'], 'contains': ['256.a1', '256.i1'], 'core': '256.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [5089, -1, 5099, -1], 'generators': [207290280, 94525336], 'label': '512.7530050.128.k1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.ce1', 'old_label': '128.k1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.k1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345737
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.l1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['64.w1', '64.bj1', '64.bq1', '64.bv1', '64.bw1', '64.bx1'], 'contains': ['256.b1', '256.e1'], 'core': '256.b1', 'coset_action_label': None, 'count': 32, 'diagramx': [6815, -1, 6827, -1], 'generators': [18558000, 94525320], 'label': '512.7530050.128.l1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '128.l1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.l1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345738
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.m1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['64.d1', '64.x1', '64.y1', '64.bk1', '64.bl1', '64.bv1', '64.by1', '64.bz1', '64.ca1', '64.cb1', '64.cc1', '64.cd1'], 'contains': ['256.b1', '256.f1'], 'core': '256.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [4448, -1, 4455, -1], 'generators': [94525320, 15049567], 'label': '512.7530050.128.m1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '128.m1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.m1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345760
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.be2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['64.q2', '64.bw1', '64.cs1', '64.da1'], 'contains': ['256.e1', '256.g1'], 'core': '512.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7066, -1, 7079, -1], 'generators': [132452760, 18558000], 'label': '512.7530050.128.be2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '128.be2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.be2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345739
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.e1', '64.x1', '64.bk1', '64.bw1', '64.by1', '64.ce1', '64.cf1', '64.cg1', '64.ch1', '64.ci1'], 'contains': ['256.b1', '256.g1'], 'core': '256.b1', 'coset_action_label': None, 'count': 4, 'diagramx': [4397, -1, 4405, -1], 'generators': [83473200, 94525320], 'label': '512.7530050.128.n1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '128.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345740
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.z1', '64.bm1', '64.br1', '64.bx1', '64.cj1', '64.ck1'], 'contains': ['256.b1', '256.h1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [6664, -1, 6676, -1], 'generators': [90761040, 94525320], 'label': '512.7530050.128.o1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.r1', 'old_label': '128.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345741
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.ce1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.ba1', '64.bn1', '64.bs1', '64.bz1', '64.ca1', '64.ce1', '64.cf1', '64.cl1', '64.cm1', '64.cn1', '64.co1'], 'contains': ['256.b1', '256.i1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [2118, -1, 2122, -1], 'generators': [207290280, 94525320], 'label': '512.7530050.128.p1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '128.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345742
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.w1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['64.f1', '64.bb1', '64.bc1', '64.bo1', '64.bp1', '64.by1', '64.cc1', '64.cj1', '64.cl1', '64.cn1', '64.cp1'], 'contains': ['256.b1'], 'core': '256.b1', 'coset_action_label': None, 'count': 6, 'diagramx': [3695, -1, 3702, -1], 'generators': [132543487, 94525320], 'label': '512.7530050.128.q1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '128.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345743
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.w1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['64.g1', '64.bb1', '64.bo1', '64.cd1', '64.ci1', '64.ck1', '64.cm1', '64.co1', '64.cq1', '64.cr1'], 'contains': ['256.b1'], 'core': '256.b1', 'coset_action_label': None, 'count': 2, 'diagramx': [3447, -1, 3453, -1], 'generators': [302279880, 94525320], 'label': '512.7530050.128.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '128.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345744
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.cd1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['64.bd1', '64.bn1', '64.bs1', '64.bz1', '64.cb1', '64.ce1', '64.cg1', '64.cl1', '64.cm1', '64.cp1', '64.cq1'], 'contains': ['256.b1'], 'core': '256.b1', 'coset_action_label': None, 'count': 16, 'diagramx': [2071, -1, 2075, -1], 'generators': [94525320, 199710120], 'label': '512.7530050.128.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '128.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345745
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['64.h1', '64.h2', '64.n1', '64.bj1', '64.cs1', '64.ct1', '64.cu1'], 'contains': ['256.c1', '256.e1'], 'core': '512.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [7300, -1, 7313, -1], 'generators': [90882847, 14928487], 'label': '512.7530050.128.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '128.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345746
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.n1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['64.s1', '64.cu1', '64.n1', '64.bf1', '64.r1', '64.ct1', '64.v1', '64.bi1', '64.p1', '64.bh1'], 'conjugacy_class_count': 32, 'contained_in': ['4.b1', '4.k1'], 'contains': ['16.k1', '16.o1', '16.p1'], 'core': '8.n1', 'coset_action_label': None, 'count': 32, 'diagramx': [3708, 9123, 3716, 9130], 'generators': [83473200, 90882847, 41101200, 177960, 94525320, 139725360], 'label': '512.7530050.8.n1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.n1', 'normal_contained_in': ['4.b1', '4.k1'], 'normal_contains': ['16.k1', '16.o1', '16.p1'], 'normalizer': '1.a1', 'old_label': '8.n1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.n1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345747
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['64.i1', '64.o1', '64.bk1', '64.cs1'], 'contains': ['256.c1', '256.f1', '256.g1'], 'core': '512.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6865, -1, 6877, -1], 'generators': [83473200, 94394167], 'label': '512.7530050.128.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '128.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345748
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['64.j1', '64.o1', '64.bl1', '64.ct1'], 'contains': ['256.c1', '256.f1'], 'core': '512.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [6915, -1, 6928, -1], 'generators': [94394167, 15049576], 'label': '512.7530050.128.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '128.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345749
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['64.k1', '64.p1', '64.bm1', '64.cu1'], 'contains': ['256.c1', '256.h1'], 'core': '512.a1', 'coset_action_label': None, 'count': 96, 'diagramx': [7634, -1, 7649, -1], 'generators': [18684727, 14928487], 'label': '512.7530050.128.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '128.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345750
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['64.h1', '64.bq1', '64.cv1', '64.cw1', '64.cx1', '64.cz1', '64.da1', '64.db1', '64.dc1'], 'contains': ['256.d1', '256.e1'], 'core': '512.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [8578, -1, 8594, -1], 'generators': [14928480, 18558000], 'label': '512.7530050.128.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '128.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345751
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.x2', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['64.h2', '64.bq1', '64.cy1', '64.cz1', '64.da1', '64.db1'], 'contains': ['256.d1', '256.e1'], 'core': '512.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [8478, -1, 8494, -1], 'generators': [83629560, 18558000], 'label': '512.7530050.128.x2', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '128.x2', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.x2', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345752
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['64.d1', '64.i1', '64.j1', '64.cv1', '64.cz1', '64.dd1'], 'contains': ['256.d1', '256.f1'], 'core': '512.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [8327, -1, 8342, -1], 'generators': [83629560, 94394167], 'label': '512.7530050.128.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '128.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345753
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['64.e1', '64.i1', '64.cw1', '64.da1', '64.de1'], 'contains': ['256.d1', '256.g1'], 'core': '512.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [8377, -1, 8393, -1], 'generators': [83473200, 177960], 'label': '512.7530050.128.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '128.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345754
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['64.k1', '64.br1', '64.cx1', '64.db1', '64.dd1', '64.de1'], 'contains': ['256.d1', '256.h1'], 'core': '512.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [8660, -1, 8677, -1], 'generators': [83629560, 90761040], 'label': '512.7530050.128.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '128.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345755
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.s1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['64.l1', '64.bt1', '64.cy1', '64.dc1', '64.dd1', '64.de1'], 'contains': ['256.d1'], 'core': '512.a1', 'coset_action_label': None, 'count': 16, 'diagramx': [8942, -1, 8961, -1], 'generators': [14928480, 98139720], 'label': '512.7530050.128.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.m1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '128.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345756
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['64.m1', '64.bu1', '64.cv1', '64.cw1', '64.cx1', '64.cy1'], 'contains': ['256.d1'], 'core': '512.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [8739, -1, 8756, -1], 'generators': [14928480, 11422080], 'label': '512.7530050.128.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '128.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345757
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.o1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['64.v1', '64.bi1'], 'conjugacy_class_count': 16, 'contained_in': ['4.c1', '4.k1'], 'contains': ['16.k1', '16.m1', '16.dl1', '16.dr1', '16.dt1', '16.dv1'], 'core': '8.o1', 'coset_action_label': None, 'count': 16, 'diagramx': [7808, 7959, 7822, 7966], 'generators': [83473200, 90882847, 167167, 177960, 94525320, 139725360], 'label': '512.7530050.8.o1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.o1', 'normal_contained_in': ['4.c1', '4.k1'], 'normal_contains': ['16.k1', '16.m1'], 'normalizer': '1.a1', 'old_label': '8.o1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.o1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345758
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['64.q1', '64.q2', '64.r1', '64.bv1', '64.cs1', '64.ct1', '64.cz1'], 'contains': ['256.e1', '256.f1'], 'core': '512.a1', 'coset_action_label': None, 'count': 384, 'diagramx': [7116, -1, 7129, -1], 'generators': [132452767, 90882847], 'label': '512.7530050.128.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.h1', 'old_label': '128.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345759
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['64.q1', '64.bw1', '64.cs1', '64.da1', '64.df1'], 'contains': ['256.e1', '256.g1'], 'core': '512.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [6966, -1, 6978, -1], 'generators': [18558000, 302376360], 'label': '512.7530050.128.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '128.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345761
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 64, 'contained_in': ['64.s1', '64.bx1', '64.cu1', '64.db1'], 'contains': ['256.e1', '256.h1'], 'core': '512.a1', 'coset_action_label': None, 'count': 512, 'diagramx': [7684, -1, 7699, -1], 'generators': [90882847, 167167], 'label': '512.7530050.128.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '128.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345762
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['64.t1', '64.v1', '64.ca1'], 'contains': ['256.f1', '256.i1'], 'core': '512.a1', 'coset_action_label': None, 'count': 192, 'diagramx': [4989, -1, 4998, -1], 'generators': [183417240, 15049576], 'label': '512.7530050.128.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '8.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '16.cw1', 'old_label': '128.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345763
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cw1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['64.t1', '64.cf1', '64.df1'], 'contains': ['256.g1', '256.i1'], 'core': '512.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [5039, -1, 5049, -1], 'generators': [83473200, 183417240], 'label': '512.7530050.128.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.cb1', 'old_label': '128.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345764
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '128.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cy1', 'complements': None, 'conjugacy_class_count': 8, 'contained_in': ['64.u1', '64.ch1', '64.df1'], 'contains': ['256.g1'], 'core': '512.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [5323, -1, 5327, -1], 'generators': [63267847, 302376360], 'label': '512.7530050.128.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.o1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.cb1', 'old_label': '128.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '128.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345765
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '256.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['2.a1'], 'conjugacy_class_count': 6, 'contained_in': ['128.a1', '128.b1', '128.e1', '128.f1', '128.g1', '128.h1', '128.i1', '128.j1', '128.k1'], 'contains': ['512.a1'], 'core': '256.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7015, 2188, 7029, 2189], 'generators': [94525327], 'label': '512.7530050.256.a1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '256.a1', 'normal_contained_in': ['128.a1', '128.b1'], 'normal_contains': ['512.a1'], 'normalizer': '1.a1', 'old_label': '256.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345766
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '256.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': [], 'conjugacy_class_count': 1, 'contained_in': ['128.a1', '128.c1', '128.d1', '128.l1', '128.m1', '128.n1', '128.o1', '128.p1', '128.q1', '128.r1', '128.s1'], 'contains': ['512.a1'], 'core': '256.b1', 'coset_action_label': None, 'count': 1, 'diagramx': [5112, 1928, 5121, 1930], 'generators': [94525320], 'label': '512.7530050.256.b1', 'mobius_quo': -1, 'mobius_sub': 0, 'normal_closure': '256.b1', 'normal_contained_in': ['128.a1', '128.c1', '128.d1'], 'normal_contains': ['512.a1'], 'normalizer': '1.a1', 'old_label': '256.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345767
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '256.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['128.c1', '128.e1', '128.f1', '128.t1', '128.u1', '128.v1', '128.w1'], 'contains': ['512.a1'], 'core': '512.a1', 'coset_action_label': None, 'count': 6, 'diagramx': [7091, -1, 7104, -1], 'generators': [14928487], 'label': '512.7530050.256.c1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '128.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '256.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345768
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.p1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['64.s1', '64.cu1', '64.r1', '64.ct1', '64.n1', '64.bf1'], 'conjugacy_class_count': 16, 'contained_in': ['4.d1', '4.k1'], 'contains': ['16.m1', '16.n1', '16.p1', '16.ee1', '16.ef1'], 'core': '8.p1', 'coset_action_label': None, 'count': 16, 'diagramx': [1503, 8275, 1506, 8282], 'generators': [83473200, 207290280, 18684727, 177960, 94525320, 139725360], 'label': '512.7530050.8.p1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.p1', 'normal_contained_in': ['4.d1', '4.k1'], 'normal_contains': ['16.m1', '16.n1', '16.p1'], 'normalizer': '1.a1', 'old_label': '8.p1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.p1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345769
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '256.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '2.d1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['128.d1', '128.e1', '128.x1', '128.x2', '128.y1', '128.z1', '128.ba1', '128.bb1', '128.bc1'], 'contains': ['512.a1'], 'core': '512.a1', 'coset_action_label': None, 'count': 2, 'diagramx': [8453, -1, 8468, -1], 'generators': [83629560], 'label': '512.7530050.256.d1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '128.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '256.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345770
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '256.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.t1', 'complements': None, 'conjugacy_class_count': 16, 'contained_in': ['128.g1', '128.l1', '128.t1', '128.x1', '128.x2', '128.bd1', '128.be1', '128.be2', '128.bf1'], 'contains': ['512.a1'], 'core': '512.a1', 'coset_action_label': None, 'count': 64, 'diagramx': [7167, -1, 7180, -1], 'generators': [18558000], 'label': '512.7530050.256.e1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '256.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345771
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '256.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['128.h1', '128.i1', '128.m1', '128.u1', '128.v1', '128.y1', '128.bd1', '128.bg1'], 'contains': ['512.a1'], 'core': '512.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [6887, -1, 6899, -1], 'generators': [15049567], 'label': '512.7530050.256.f1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '256.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345772
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '256.g1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '4.q1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['128.h1', '128.n1', '128.u1', '128.z1', '128.be1', '128.be2', '128.bh1', '128.bi1'], 'contains': ['512.a1'], 'core': '512.a1', 'coset_action_label': None, 'count': 8, 'diagramx': [6843, -1, 6855, -1], 'generators': [83473200], 'label': '512.7530050.256.g1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '64.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '256.g1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.g1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345773
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '256.h1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['128.j1', '128.o1', '128.w1', '128.ba1', '128.bf1'], 'contains': ['512.a1'], 'core': '512.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [7609, -1, 7624, -1], 'generators': [90761040], 'label': '512.7530050.256.h1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '32.l1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.bs1', 'old_label': '256.h1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.h1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345774
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '256.i1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.ce1', 'complements': None, 'conjugacy_class_count': 4, 'contained_in': ['128.k1', '128.p1', '128.bg1', '128.bh1'], 'contains': ['512.a1'], 'core': '512.a1', 'coset_action_label': None, 'count': 32, 'diagramx': [5039, -1, 5049, -1], 'generators': [207290280], 'label': '512.7530050.256.i1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '16.n1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '8.ce1', 'old_label': '256.i1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '256.i1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345775
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '512.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '1.a1', 'complements': ['1.a1'], 'conjugacy_class_count': 1, 'contained_in': ['256.a1', '256.b1', '256.c1', '256.d1', '256.e1', '256.f1', '256.g1', '256.h1', '256.i1'], 'contains': [], 'core': '512.a1', 'coset_action_label': None, 'count': 1, 'diagramx': [7015, 2059, 7029, 2060], 'generators': [], 'label': '512.7530050.512.a1', 'mobius_quo': 1, 'mobius_sub': 0, 'normal_closure': '512.a1', 'normal_contained_in': ['256.a1', '256.b1'], 'normal_contains': [], 'normalizer': '1.a1', 'old_label': '512.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '512.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345776
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.q1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['64.s1', '64.cu1', '64.r1', '64.ct1', '64.n1', '64.bf1', '64.v1', '64.bi1'], 'conjugacy_class_count': 16, 'contained_in': ['4.e1', '4.k1'], 'contains': ['16.m1', '16.o1'], 'core': '8.q1', 'coset_action_label': None, 'count': 16, 'diagramx': [4109, 8646, 4117, 8652], 'generators': [83473200, 41101200, 18684727, 177960, 94525320, 139725360], 'label': '512.7530050.8.q1', 'mobius_quo': 0, 'mobius_sub': -8, 'normal_closure': '8.q1', 'normal_contained_in': ['4.e1', '4.k1'], 'normal_contains': ['16.m1', '16.o1'], 'normalizer': '1.a1', 'old_label': '8.q1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.q1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345777
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.r1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.c1', '4.m1', '4.p1'], 'contains': ['16.b1', '16.s1', '16.u1', '16.v1', '16.bb1', '16.bh1', '16.bl1', '16.dk1', '16.dl1'], 'core': '16.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [8205, -1, 8221, -1], 'generators': [94525327, 83473200, 90882847, 177960, 94525320, 295023000], 'label': '512.7530050.8.r1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.r1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.r1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345778
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.s1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.m1', '4.n1', '4.p1'], 'contains': ['16.t1', '16.u1', '16.v1', '16.be1', '16.bg1', '16.bh1', '16.bl1', '16.dk1'], 'core': '32.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [8091, -1, 8105, -1], 'generators': [94399200, 83629560, 98017927, 94525320, 295108687, 94525336], 'label': '512.7530050.8.s1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.s1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.s1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345779
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '2.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['256.i1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.c1', '4.f1', '4.g1', '4.m1', '4.n1', '4.p1', '4.r1', '4.s1', '4.t1'], 'core': '2.d1', 'coset_action_label': None, 'count': 1, 'diagramx': [7783, 3078, 7797, 3081], 'generators': [139725360, 90882847, 83473200, 94525327, 94399200, 177960, 94525336, 94525320], 'label': '512.7530050.2.d1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.d1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.c1', '4.f1', '4.g1'], 'normalizer': '1.a1', 'old_label': '2.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345780
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.t1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.a1', '4.l1', '4.q1'], 'contains': ['16.a1', '16.bc1', '16.bd1', '16.bw1', '16.bx1', '16.df1', '16.dp1'], 'core': '16.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [4442, -1, 4451, -1], 'generators': [83629560, 90882847, 207290280, 94525320, 94525336, 139725360], 'label': '512.7530050.8.t1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.t1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.t1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345781
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.u1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.f1', '4.m1'], 'contains': ['16.d1', '16.s1', '16.x1', '16.y1', '16.bg1', '16.dm1', '16.dn1'], 'core': '16.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [6898, -1, 6912, -1], 'generators': [83473200, 90882847, 177960, 94525320, 295108687, 94525336], 'label': '512.7530050.8.u1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.u1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.u1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345782
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.v1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.f1', '4.n1'], 'contains': ['16.e1', '16.t1', '16.w1', '16.y1', '16.bg1', '16.dn1', '16.do1'], 'core': '16.e1', 'coset_action_label': None, 'count': 12, 'diagramx': [6745, -1, 6759, -1], 'generators': [139795320, 90882847, 302279880, 94525320, 15049567, 94525336], 'label': '512.7530050.8.v1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.v1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.v1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345783
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.w1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.c1', '4.n1', '4.r1'], 'contains': ['16.f1', '16.u1', '16.w1', '16.z1', '16.bh1', '16.dq1', '16.dr1'], 'core': '16.f1', 'coset_action_label': None, 'count': 24, 'diagramx': [7503, -1, 7517, -1], 'generators': [94525327, 139795320, 94399200, 90882847, 302279880, 94525320], 'label': '512.7530050.8.w1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.w1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.w1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345784
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.x1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.m1', '4.r1'], 'contains': ['16.u1', '16.x1', '16.z1', '16.bh1', '16.bi1', '16.dq1'], 'core': '32.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [7655, -1, 7670, -1], 'generators': [94399200, 90882847, 83629560, 295032967, 94525320, 94525336], 'label': '512.7530050.8.x1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.x1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.x1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345785
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.y1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.c1', '4.n1', '4.s1'], 'contains': ['16.g1', '16.v1', '16.w1', '16.ba1', '16.bl1', '16.ds1', '16.dt1'], 'core': '16.g1', 'coset_action_label': None, 'count': 24, 'diagramx': [8619, -1, 8635, -1], 'generators': [94525327, 139795320, 94399200, 302279880, 94525320, 18669007], 'label': '512.7530050.8.y1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.y1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.y1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345786
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.z1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.m1', '4.s1'], 'contains': ['16.v1', '16.x1', '16.ba1', '16.bl1', '16.bm1', '16.ds1'], 'core': '32.d1', 'coset_action_label': None, 'count': 24, 'diagramx': [8748, -1, 8765, -1], 'generators': [94399200, 83629560, 98017927, 295032967, 94525320, 94525336], 'label': '512.7530050.8.z1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.z1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.z1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345787
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.ba1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.c1', '4.m1', '4.t1'], 'contains': ['16.a1', '16.q1', '16.s1', '16.u1', '16.v1', '16.z1', '16.ba1', '16.bb1', '16.du1', '16.dv1'], 'core': '16.a1', 'coset_action_label': None, 'count': 48, 'diagramx': [8505, -1, 8521, -1], 'generators': [94525327, 83473200, 94399200, 90882847, 177960, 94525320], 'label': '512.7530050.8.ba1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.ba1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ba1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345788
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.m1', '4.n1', '4.t1'], 'contains': ['16.r1', '16.t1', '16.u1', '16.v1', '16.y1', '16.z1', '16.ba1', '16.be1', '16.du1'], 'core': '32.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [8408, -1, 8424, -1], 'generators': [94399200, 90882847, 83629560, 94394167, 94525320, 94525336], 'label': '512.7530050.8.bb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345789
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.a1', '4.l1', '4.u1'], 'contains': ['16.b1', '16.bc1', '16.bd1', '16.ed1'], 'core': '16.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [4308, -1, 4317, -1], 'generators': [83629560, 207290280, 94525320, 18669007, 94525336, 139725360], 'label': '512.7530050.8.bc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.bc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345790
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '2.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['256.e1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.d1', '4.g1', '4.h1', '4.j1', '4.o1', '4.v1', '4.w1'], 'core': '2.e1', 'coset_action_label': None, 'count': 1, 'diagramx': [1544, 3581, 1547, 3584], 'generators': [139725360, 83473200, 94525327, 177960, 94525336, 94525320, 18684727, 41141527], 'label': '512.7530050.2.e1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.e1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.d1', '4.g1', '4.h1', '4.j1'], 'normalizer': '1.a1', 'old_label': '2.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.e1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345791
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.g1', '4.m1'], 'contains': ['16.d1', '16.bb1', '16.be1', '16.bi1', '16.bm1', '16.dw1', '16.dz1'], 'core': '16.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [5935, -1, 5947, -1], 'generators': [83473200, 18684727, 177960, 94525320, 295108687, 94525336], 'label': '512.7530050.8.bd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345792
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.be1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.h1', '4.l1'], 'contains': ['16.d1', '16.bc1', '16.bf1', '16.bk1', '16.ca1', '16.cb1', '16.dh1', '16.dx1', '16.ea1'], 'core': '16.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [2311, -1, 2316, -1], 'generators': [83473200, 41141527, 177960, 94525320, 295108687, 94525336], 'label': '512.7530050.8.be1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.be1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.be1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345793
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.i1', '4.l1'], 'contains': ['16.d1', '16.bd1', '16.dy1'], 'core': '16.d1', 'coset_action_label': None, 'count': 12, 'diagramx': [4730, -1, 4738, -1], 'generators': [83629560, 221841360, 94525320, 15049567, 94525336, 139725360], 'label': '512.7530050.8.bf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.bf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345794
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.h1', '4.o1'], 'contains': ['16.e1', '16.bf1', '16.bj1', '16.cc1', '16.cd1', '16.di1', '16.ea1', '16.eb1'], 'core': '16.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [1745, -1, 1749, -1], 'generators': [139795320, 302279880, 41141527, 94525320, 15049567, 94525336], 'label': '512.7530050.8.bg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.bg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345795
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bh1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 3, 'contained_in': ['4.j1', '4.o1'], 'contains': ['16.e1', '16.bn1', '16.ec1'], 'core': '16.e1', 'coset_action_label': None, 'count': 6, 'diagramx': [1104, -1, 1106, -1], 'generators': [139795320, 302279880, 94525320, 15049567, 48350160, 94525336], 'label': '512.7530050.8.bh1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.bh1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bh1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345796
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bi1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '4.o1', '4.v1'], 'contains': ['16.f1', '16.bj1', '16.bn1', '16.ce1', '16.cf1', '16.dj1', '16.ee1'], 'core': '16.f1', 'coset_action_label': None, 'count': 24, 'diagramx': [744, -1, 745, -1], 'generators': [139795320, 302279880, 207290280, 18684727, 94525320, 94525336], 'label': '512.7530050.8.bi1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.bi1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bi1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345797
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.d1', '4.o1', '4.w1'], 'contains': ['16.g1', '16.bj1', '16.bn1', '16.ef1'], 'core': '16.g1', 'coset_action_label': None, 'count': 24, 'diagramx': [1405, -1, 1407, -1], 'generators': [139795320, 302279880, 207290280, 94525320, 94525336, 90892807], 'label': '512.7530050.8.bj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.bj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345798
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bk1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 12, 'contained_in': ['4.q1'], 'contains': ['16.bo1', '16.bq1', '16.br1', '16.bw1', '16.bx1', '16.df1'], 'core': '64.b1', 'coset_action_label': None, 'count': 48, 'diagramx': [4595, -1, 4604, -1], 'generators': [90882847, 94525320, 14928487, 41091247, 94525336, 302376360], 'label': '512.7530050.8.bk1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '8.bk1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bk1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345799
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.h1'], 'contains': ['16.bq1', '16.bq2', '16.bs1', '16.bu1', '16.bu2', '16.by1', '16.bz1', '16.ca1', '16.cb1', '16.cc1', '16.cd1', '16.dg1', '16.dh1', '16.di1'], 'core': '64.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [1956, -1, 1959, -1], 'generators': [302279880, 41141527, 177960, 94525320, 15049567, 94525336], 'label': '512.7530050.8.bl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '8.bl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345800
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bm1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 6, 'contained_in': ['4.v1'], 'contains': ['16.bt1', '16.bu1', '16.bv1', '16.ce1', '16.cf1', '16.dj1'], 'core': '64.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [377, -1, 378, -1], 'generators': [302279880, 41141527, 18684727, 94525320, 14928487, 94525336], 'label': '512.7530050.8.bm1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '8.bm1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bm1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345801
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '2.f1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['256.e1', '256.i1'], 'conjugacy_class_count': 1, 'contained_in': ['1.a1'], 'contains': ['4.e1', '4.g1', '4.i1'], 'core': '2.f1', 'coset_action_label': None, 'count': 1, 'diagramx': [4368, 4102, 4376, 4105], 'generators': [139725360, 83473200, 221841360, 94525327, 177960, 207330607, 94525336, 94525320], 'label': '512.7530050.2.f1', 'mobius_quo': 0, 'mobius_sub': -1, 'normal_closure': '2.f1', 'normal_contained_in': ['1.a1'], 'normal_contains': ['4.e1', '4.g1', '4.i1'], 'normalizer': '1.a1', 'old_label': '2.f1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2.f1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345802
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bn1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 32, 'contained_in': ['4.t1'], 'contains': ['16.q1', '16.r1', '16.cg1', '16.ch1', '16.ci1', '16.cj1', '16.ck1', '16.cl1', '16.cm1'], 'core': '128.b1', 'coset_action_label': None, 'count': 128, 'diagramx': [9502, -1, 9521, -1], 'generators': [94525327, 83473200, 94399200, 90882847, 94394160, 94525336], 'label': '512.7530050.8.bn1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.t1', 'old_label': '8.bn1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bn1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345803
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bo1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '4.p1', '4.t1'], 'contains': ['16.h1', '16.s1', '16.t1', '16.cg1', '16.co1', '16.cs1'], 'core': '16.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [7882, -1, 7897, -1], 'generators': [94525327, 83473200, 90882847, 177960, 94525320, 94525336], 'label': '512.7530050.8.bo1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bo1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bo1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345804
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bp1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.p1', '4.r1', '4.t1'], 'contains': ['16.u1', '16.ch1', '16.co1', '16.cp1', '16.cs1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [8312, -1, 8327, -1], 'generators': [94525327, 94399200, 283788847, 83629560, 94525320, 94525336], 'label': '512.7530050.8.bp1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bp1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bp1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345805
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bq1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.p1', '4.s1', '4.t1'], 'contains': ['16.v1', '16.ci1', '16.co1', '16.cr1', '16.cs1'], 'core': '32.e1', 'coset_action_label': None, 'count': 4, 'diagramx': [8862, -1, 8879, -1], 'generators': [94525327, 94399200, 83629560, 98017927, 94525320, 94525336], 'label': '512.7530050.8.bq1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bq1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bq1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345806
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.br1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.f1', '4.r1', '4.s1'], 'contains': ['16.i1', '16.w1', '16.x1', '16.co1', '16.cs1'], 'core': '16.i1', 'coset_action_label': None, 'count': 4, 'diagramx': [7184, -1, 7197, -1], 'generators': [94525327, 139795320, 90882847, 302279880, 94525320, 94525336], 'label': '512.7530050.8.br1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.f1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.br1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.br1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345807
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bs1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bs1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.r1', '4.t1'], 'contains': ['16.z1', '16.bp1', '16.ck1', '16.co1', '16.cp1', '16.cu1'], 'core': '32.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [7401, -1, 7415, -1], 'generators': [94525327, 94399200, 90882847, 83629560, 94525320, 94525336], 'label': '512.7530050.8.bs1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bs1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bs1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345808
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bt1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.bt1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.s1', '4.t1'], 'contains': ['16.ba1', '16.cl1', '16.co1', '16.cr1'], 'core': '32.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [9074, -1, 9091, -1], 'generators': [94525327, 94399200, 83629560, 298746847, 94525320, 94525336], 'label': '512.7530050.8.bt1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bt1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bt1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345809
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bu1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.co1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.g1', '4.p1', '4.t1'], 'contains': ['16.h1', '16.bb1', '16.be1', '16.cm1', '16.cp1', '16.cr1'], 'core': '16.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [7070, -1, 7084, -1], 'generators': [94525327, 83473200, 18684727, 177960, 94525320, 94525336], 'label': '512.7530050.8.bu1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.g1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bu1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bu1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345810
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bv1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.h1', '4.q1', '4.u1'], 'contains': ['16.h1', '16.bc1', '16.bf1', '16.bq1', '16.bq2', '16.cq1', '16.cv1', '16.cw1', '16.cx1'], 'core': '16.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [3318, -1, 3325, -1], 'generators': [94525327, 83473200, 41141527, 177960, 94525320, 94525336], 'label': '512.7530050.8.bv1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.bv1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bv1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345811
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bw1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.i1', '4.q1', '4.u1'], 'contains': ['16.h1', '16.bd1', '16.br1', '16.cy1'], 'core': '16.h1', 'coset_action_label': None, 'count': 4, 'diagramx': [4851, -1, 4861, -1], 'generators': [94525327, 83629560, 221841360, 94525320, 94525336, 139725360], 'label': '512.7530050.8.bw1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.i1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.bw1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bw1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345812
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['128.bf1', '128.bd1', '128.g1', '128.t1', '128.j1', '128.w1'], 'conjugacy_class_count': 24, 'contained_in': ['2.a1', '2.b1'], 'contains': ['8.a1', '8.d1', '8.e1', '8.m1', '8.t1', '8.bc1', '8.ch1'], 'core': '4.a1', 'coset_action_label': None, 'count': 24, 'diagramx': [4190, 7388, 4198, 7394], 'generators': [83473200, 90882847, 207290280, 177960, 94525320, 139725360, 94525336], 'label': '512.7530050.4.a1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.a1', 'normal_contained_in': ['2.a1', '2.b1'], 'normal_contains': ['8.a1', '8.d1', '8.e1', '8.m1'], 'normalizer': '1.a1', 'old_label': '4.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345813
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bx1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1', '4.r1'], 'contains': ['16.bh1', '16.cp1', '16.cs1'], 'core': '32.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [7311, -1, 7325, -1], 'generators': [94525327, 83629560, 98017927, 94525320, 295023000, 94525336], 'label': '512.7530050.8.bx1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bx1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bx1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345814
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.by1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1', '4.v1', '4.w1'], 'contains': ['16.i1', '16.bj1', '16.bk1', '16.bu1', '16.bu2', '16.cq1', '16.db1', '16.dc1', '16.dd1'], 'core': '16.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [2196, -1, 2200, -1], 'generators': [94525327, 139795320, 302279880, 41141527, 94525320, 94525336], 'label': '512.7530050.8.by1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.by1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.by1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345815
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.bz1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '16.cr1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.p1', '4.s1'], 'contains': ['16.bl1', '16.cr1', '16.cs1'], 'core': '32.e1', 'coset_action_label': None, 'count': 2, 'diagramx': [8967, -1, 8985, -1], 'generators': [94525327, 283788847, 83629560, 94525320, 295023000, 94525336], 'label': '512.7530050.8.bz1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.bz1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.bz1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345816
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.ca1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.ct1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.j1', '4.v1', '4.w1'], 'contains': ['16.i1', '16.bn1', '16.bv1', '16.de1'], 'core': '16.i1', 'coset_action_label': None, 'count': 2, 'diagramx': [611, -1, 613, -1], 'generators': [94525327, 139795320, 302279880, 94525320, 48350160, 94525336], 'label': '512.7530050.8.ca1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.j1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.ca1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ca1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345817
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.cb1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.q1'], 'contains': ['16.bw1', '16.cn1', '16.ct1', '16.cw1', '16.cy1'], 'core': '64.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [5092, -1, 5102, -1], 'generators': [94525327, 90882847, 94525320, 41091247, 94525336, 302376360], 'label': '512.7530050.8.cb1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '8.cb1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.cb1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345818
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.cc1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cq1', 'complements': None, 'conjugacy_class_count': 2, 'contained_in': ['4.q1'], 'contains': ['16.bx1', '16.ct1', '16.cx1', '16.cy1'], 'core': '64.c1', 'coset_action_label': None, 'count': 8, 'diagramx': [4979, -1, 4989, -1], 'generators': [94525327, 44730007, 90882847, 94525320, 94525336, 302376360], 'label': '512.7530050.8.cc1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.b1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.q1', 'old_label': '8.cc1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.cc1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345819
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.cd1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cu1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1'], 'contains': ['16.by1', '16.ca1', '16.cc1', '16.cv1', '16.cx1', '16.cz1', '16.db1', '16.dd1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [2426, -1, 2431, -1], 'generators': [94525327, 44730007, 302279880, 177960, 94525320, 94525336], 'label': '512.7530050.8.cd1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '8.cd1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.cd1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345820
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.ce1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.cs1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.h1'], 'contains': ['16.bz1', '16.cb1', '16.cd1', '16.cv1', '16.cw1', '16.cz1', '16.db1', '16.dc1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [2689, -1, 2694, -1], 'generators': [94525327, 302279880, 41141527, 177960, 94525320, 94525336], 'label': '512.7530050.8.ce1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.h1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.h1', 'old_label': '8.ce1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ce1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345821
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.cf1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.v1'], 'contains': ['16.ce1', '16.da1', '16.dc1', '16.de1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [998, -1, 1000, -1], 'generators': [94525327, 302279880, 41141527, 18684727, 94525320, 94525336], 'label': '512.7530050.8.cf1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '8.cf1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.cf1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345822
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.cg1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 1, 'contained_in': ['4.v1'], 'contains': ['16.cf1', '16.da1', '16.dd1', '16.de1'], 'core': '64.c1', 'coset_action_label': None, 'count': 4, 'diagramx': [876, -1, 877, -1], 'generators': [94525327, 44760367, 302279880, 18684727, 94525320, 94525336], 'label': '512.7530050.8.cg1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.e1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '4.v1', 'old_label': '8.cg1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.cg1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345823
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '4.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': ['128.g1', '128.t1', '128.bd1', '128.j1', '128.w1', '128.k1', '128.bg1', '128.bf1'], 'conjugacy_class_count': 24, 'contained_in': ['2.a1', '2.c1'], 'contains': ['8.a1', '8.e1', '8.f1', '8.n1'], 'core': '4.b1', 'coset_action_label': None, 'count': 24, 'diagramx': [3999, 6817, 4006, 6822], 'generators': [139725360, 83473200, 221841360, 94525327, 94399200, 177960, 94525320], 'label': '512.7530050.4.b1', 'mobius_quo': 0, 'mobius_sub': 2, 'normal_closure': '4.b1', 'normal_contained_in': ['2.a1', '2.c1'], 'normal_contains': ['8.a1', '8.e1', '8.f1', '8.n1'], 'normalizer': '1.a1', 'old_label': '4.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345824
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.ch1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['4.a1', '4.l1'], 'contains': ['16.j1', '16.dp1', '16.dx1', '16.dy1', '16.ed1'], 'core': '16.j1', 'coset_action_label': None, 'count': 96, 'diagramx': [4198, -1, 4206, -1], 'generators': [83629560, 90882847, 207290280, 15049576, 94525320, 139725360], 'label': '512.7530050.8.ch1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.b1', 'old_label': '8.ch1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ch1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345825
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.ci1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['4.c1', '4.m1'], 'contains': ['16.j1', '16.dk1', '16.dl1', '16.dm1', '16.dq1', '16.ds1', '16.du1', '16.dv1', '16.dw1'], 'core': '16.j1', 'coset_action_label': None, 'count': 96, 'diagramx': [8007, -1, 8022, -1], 'generators': [83473200, 94399200, 90882847, 177960, 94525320, 295108687], 'label': '512.7530050.8.ci1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.ci1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ci1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345826
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.cj1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 48, 'contained_in': ['4.m1', '4.n1'], 'contains': ['16.dk1', '16.dn1', '16.dq1', '16.ds1', '16.du1', '16.dz1'], 'core': '32.h1', 'coset_action_label': None, 'count': 96, 'diagramx': [7956, -1, 7971, -1], 'generators': [94399200, 90882847, 83629560, 94525320, 295108687, 94394176], 'label': '512.7530050.8.cj1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '2.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.cj1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.cj1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345827
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.ck1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.c1', '4.n1'], 'contains': ['16.l1', '16.dk1', '16.do1', '16.dr1', '16.dt1', '16.du1'], 'core': '16.l1', 'coset_action_label': None, 'count': 48, 'diagramx': [7757, -1, 7772, -1], 'generators': [139795320, 94399200, 90882847, 302279880, 94525320, 15049567], 'label': '512.7530050.8.ck1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.c1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.d1', 'old_label': '8.ck1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.ck1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345828
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '8.cl1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '64.c1', 'complements': None, 'conjugacy_class_count': 24, 'contained_in': ['4.d1', '4.o1'], 'contains': ['16.l1', '16.eb1', '16.ec1', '16.ee1', '16.ef1'], 'core': '16.l1', 'coset_action_label': None, 'count': 48, 'diagramx': [1190, -1, 1193, -1], 'generators': [139795320, 302279880, 207290280, 18684727, 15049576, 94525320], 'label': '512.7530050.8.cl1', 'mobius_quo': None, 'mobius_sub': 0, 'normal_closure': '4.d1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '2.e1', 'old_label': '8.cl1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8.cl1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345829
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '8.h1', 'complements': ['32.z1'], 'conjugacy_class_count': 12, 'contained_in': ['8.a1', '8.b1', '8.h1', '8.t1', '8.ba1'], 'contains': ['32.a1', '32.f1', '32.r1', '32.ba1', '32.bk1', '32.cv1', '32.dp1'], 'core': '16.a1', 'coset_action_label': None, 'count': 12, 'diagramx': [6414, 5028, 6426, 5032], 'generators': [94525327, 90882847, 83629560, 94525320, 139725360], 'label': '512.7530050.16.a1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.a1', 'normal_contained_in': ['8.a1', '8.b1', '8.h1'], 'normal_contains': ['32.a1', '32.f1'], 'normalizer': '1.a1', 'old_label': '16.a1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345830
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.b1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': ['32.z1'], 'conjugacy_class_count': 12, 'contained_in': ['8.a1', '8.b1', '8.i1', '8.r1', '8.bc1'], 'contains': ['32.a1', '32.j1', '32.be1', '32.du1'], 'core': '16.b1', 'coset_action_label': None, 'count': 12, 'diagramx': [6331, 4543, 6343, 4547], 'generators': [94525327, 83629560, 94525320, 139725360, 18669007], 'label': '512.7530050.16.b1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.b1', 'normal_contained_in': ['8.a1', '8.b1', '8.i1'], 'normal_contains': ['32.a1', '32.j1'], 'normalizer': '1.a1', 'old_label': '16.b1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.b1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345831
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.c1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.a1', '8.c1', '8.d1', '8.e1', '8.f1', '8.j1'], 'contains': ['32.a1', '32.c1', '32.g1', '32.i1', '32.k1', '32.br1', '32.da1'], 'core': '16.c1', 'coset_action_label': None, 'count': 3, 'diagramx': [3707, 5460, 3714, 5464], 'generators': [94525327, 83473200, 177960, 94525320, 139725360], 'label': '512.7530050.16.c1', 'mobius_quo': 0, 'mobius_sub': 64, 'normal_closure': '16.c1', 'normal_contained_in': ['8.a1', '8.c1', '8.d1', '8.e1', '8.f1', '8.j1'], 'normal_contains': ['32.a1', '32.c1', '32.g1', '32.i1', '32.k1'], 'normalizer': '1.a1', 'old_label': '16.c1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.c1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345832
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.d1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 6, 'contained_in': ['8.b1', '8.j1', '8.u1', '8.bd1', '8.be1', '8.bf1'], 'contains': ['32.a1', '32.b1', '32.d1', '32.g1', '32.h1', '32.bv1', '32.dc1'], 'core': '16.d1', 'coset_action_label': None, 'count': 6, 'diagramx': [5152, 1890, 5161, 1891], 'generators': [83473200, 177960, 94525320, 295108687, 94525336], 'label': '512.7530050.16.d1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.d1', 'normal_contained_in': ['8.b1', '8.j1'], 'normal_contains': ['32.a1', '32.b1', '32.d1', '32.g1', '32.h1'], 'normalizer': '1.a1', 'old_label': '16.d1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.d1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 59345833
    {'ambient': '512.7530050', 'aut_centralizer_order': None, 'aut_label': '16.e1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': '32.e1', 'complements': [], 'conjugacy_class_count': 3, 'contained_in': ['8.g1', '8.j1', '8.v1', '8.bg1', '8.bh1'], 'contains': ['32.b1', '32.c1', '32.h1', '32.i1', '32.bw1', '32.dd1'], 'core': '16.e1', 'coset_action_label': None, 'count': 3, 'diagramx': [3804, 2457, 3811, 2459], 'generators': [139795320, 302279880, 94525320, 15049567, 94525336], 'label': '512.7530050.16.e1', 'mobius_quo': 0, 'mobius_sub': 0, 'normal_closure': '16.e1', 'normal_contained_in': ['8.g1', '8.j1'], 'normal_contains': ['32.b1', '32.c1', '32.h1', '32.i1'], 'normalizer': '1.a1', 'old_label': '16.e1', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16.e1', 'subgroup_fusion': None, 'weyl_group': None}