Abstract group data - 12383472844800000000.a

Formats: - HTML - YAML - JSON - 2025-11-05T02:15:13.130911

• 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': '12.5', 'all_subgroups_known': False, 'almost_simple': False, 'aut_abelian': None, 'aut_cyclic': None, 'aut_derived_length': None, 'aut_exponent': None, 'aut_gen_orders': None, 'aut_gens': [[81605664983227511929855063203191602801133843050, 689782333429205422270455743997543996085240674593], [81605664983227511929855063203191602801133843079, 689782333429205422270454504173650315212260194556], [81605664983227511929855063203191602801133843058, 689782333429205422270456984894347462564119394590], [81605664983227511929855063203191602533371948650, 689782333429205422270455743997543996439182940156], [81605664983227511929855063203191602607178111850, 689782333429205422270455743997543996340548527389], [81605664983227502804982463752612492077549843050, 689782333429205413123805405646128181394062940193], [81605664983227503110274099825452958214637843050, 689782333429205439953979731476947905353016360993], [81605664983227511929854364023405027521267987050, 689782333429205421355387418701641476544017250593], [81605664983227511929853202982102373587126547050, 689782333429205439964465309466463755700147042593], [81605664983227511929855063202929461166627938490, 690814242917720608247711974466714412930041838833], [81605664983227511929855063203191937565771728490, 629111709803079693306294906001935378306041439953], [81605665270031901348926833162641510492653843050, 689782333107667762376136428056489416366764898593], [81605664982956158254267191750206659226093843050, 689782332543770155988577014985099051977876322593], [81605664983227511929853201806895460911106796810, 689782333107667762376135188232127629915620194593], [81605664983227511929855657799576597155596643690, 689782332838484916192968592995375756473336674593], [14136658437738495293936243580013373933843050, 710703238127869466740856032961546967733241117393], [20920905610683766719430441228553253284333843050, 628065664568146491082774891553735229723640704113], [81605664983227511929855063203191602801133843050, 314576688675059713089604658640859428200345619165], [774073464698879209786695242353428814024654039581, 689782333429205422270455743997543996085240674593], [81619056734563546691136696373449403737528685930, 334974571641684208732840499253981761784075536015], [40809901107645218893888492988642564122299358810, 356418126069843200829033338533566576572210984266], [1569441052715983688197417049980938271116045370, 668875191876063527885599832543737482411553562942], [20934669641378026029522138933590891703958719881, 565218087361108734836231487660329494876427847167], [41346687191390452669380771223027938818197388170, 690318747207024404438439254915716766924986351936], [61716669772807316552162469786198063356873869523, 669907102250022167300563726975682917269939808618], [14136632124645982343568093866723351926326598, 710716629288484987192665185834486204581886570960], [14136944715883924020444152636995073993342672, 709670956038466636831758504047699557211763938007], [82637574150723058859599250875576431011326176047, 459524313630066713748330141761723408378801963558]], 'aut_group': None, 'aut_hash': None, 'aut_nilpotency_class': None, 'aut_nilpotent': None, 'aut_order': 24766945689600000000, 'aut_permdeg': None, 'aut_perms': None, 'aut_phi_ratio': None, 'aut_solvable': None, 'aut_stats': None, 'aut_supersolvable': None, 'aut_tex': None, 'autcent_abelian': None, 'autcent_cyclic': None, 'autcent_exponent': None, 'autcent_group': None, 'autcent_hash': None, 'autcent_nilpotent': None, 'autcent_order': None, 'autcent_solvable': None, 'autcent_split': None, 'autcent_supersolvable': None, 'autcent_tex': None, 'autcentquo_abelian': None, 'autcentquo_cyclic': None, 'autcentquo_exponent': None, 'autcentquo_group': None, 'autcentquo_hash': None, 'autcentquo_nilpotent': None, 'autcentquo_order': None, 'autcentquo_solvable': None, 'autcentquo_supersolvable': None, 'autcentquo_tex': None, 'cc_stats': None, 'center_label': '1.1', 'center_order': None, 'central_product': None, 'central_quotient': '12383472844800000000.a', 'commutator_count': None, 'commutator_label': None, 'complements_known': False, 'complete': False, 'complex_characters_known': False, 'composition_factors': ['2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '2.1', '3.1', '3.1', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5', '60.5'], 'composition_length': 23, 'conjugacy_classes_known': False, 'counter': 1, 'cyclic': False, 'derived_length': 4, 'dihedral': False, 'direct_factorization': None, 'direct_product': None, 'div_stats': None, 'element_repr_type': 'Perm', 'elementary': 1, 'eulerian_function': None, 'exponent': 720, 'exponents_of_order': [29, 10, 8], 'factors_of_aut_order': [2, 3, 5], 'factors_of_order': [2, 3, 5], 'faithful_reps': None, 'familial': False, 'frattini_label': '1.1', 'frattini_quotient': '12383472844800000000.a', 'hash': 1361852514972358482, 'hyperelementary': 1, 'inner_abelian': None, 'inner_cyclic': None, 'inner_exponent': None, 'inner_gen_orders': None, 'inner_gens': None, 'inner_hash': None, 'inner_nilpotent': None, 'inner_order': None, 'inner_split': None, 'inner_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'inner_used': None, 'irrC_degree': None, 'irrQ_degree': None, 'irrQ_dim': None, 'irrR_degree': None, 'irrep_stats': None, 'label': '12383472844800000000.a', 'linC_count': None, 'linC_degree': None, 'linFp_degree': None, 'linFq_degree': None, 'linQ_degree': None, 'linQ_degree_count': None, 'linQ_dim': None, 'linQ_dim_count': None, 'linR_count': None, 'linR_degree': None, 'maximal_subgroups_known': True, 'metabelian': False, 'metacyclic': False, 'monomial': False, 'name': 'A5^8.C2^6.A4^2.C4.C2', 'ngens': 2, 'nilpotency_class': -1, 'nilpotent': False, 'normal_counts': [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 4, 0, 1, 1, 3, 1], 'normal_index_bound': 0, 'normal_order_bound': 0, 'normal_subgroups_known': True, 'number_autjugacy_classes': None, 'number_characteristic_subgroups': 25, 'number_conjugacy_classes': None, 'number_divisions': None, 'number_normal_subgroups': 25, 'number_subgroup_autclasses': None, 'number_subgroup_classes': None, 'number_subgroups': None, 'old_label': None, 'order': 12383472844800000000, 'order_factorization_type': 321, 'order_stats': None, 'outer_abelian': None, 'outer_cyclic': None, 'outer_equivalence': False, 'outer_exponent': None, 'outer_gen_orders': None, 'outer_gen_pows': None, 'outer_gens': None, 'outer_group': None, 'outer_hash': None, 'outer_nilpotent': None, 'outer_order': 2, 'outer_permdeg': None, 'outer_perms': None, 'outer_solvable': None, 'outer_supersolvable': None, 'outer_tex': None, 'pc_rank': None, 'perfect': False, 'permutation_degree': None, 'pgroup': 0, 'primary_abelian_invariants': [2, 2, 3], 'quasisimple': False, 'rank': 2, 'rational': None, 'rational_characters_known': False, 'ratrep_stats': None, 'representations': {'Perm': {'d': 40, 'gens': [689782333429205422270455743997543996085240674593, 81605664983227511929855063203191602801133843050]}}, 'schur_multiplier': None, 'semidirect_product': None, 'simple': False, 'smith_abelian_invariants': [2, 6], 'solvability_type': 13, 'solvable': False, 'subgroup_inclusions_known': False, 'subgroup_index_bound': 90, 'supersolvable': False, 'sylow_subgroups_known': True, 'tex_name': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'transitive_degree': 40, 'wreath_data': None, 'wreath_product': None}
• ['group_order', 'group_counter'] [12383472844800000000, 1] does not appear in gps_conj_classes
• group 12383472844800000000.a does not appear in gps_qchar
• group 12383472844800000000.a does not appear in gps_char
• gps_subgroup_search •

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

  
  
  • id: 5982019
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 12383472844800000000, 'counter': 1, 'cyclic': False, 'direct': None, 'hall': 30, 'label': '12383472844800000000.a.1.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1.A', 'outer_equivalence': False, 'perfect': False, 'proper': False, 'quotient': '1.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 1, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_1', 'simple': False, 'solvable': False, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': False, 'subgroup': '12383472844800000000.a', 'subgroup_hash': None, 'subgroup_order': 12383472844800000000, 'subgroup_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982130
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6191736422400000000, 'counter': 2, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.2._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 6191736422400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982241
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6191736422400000000, 'counter': 3, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.2._.B', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6191736422400000000.a', 'subgroup_hash': None, 'subgroup_order': 6191736422400000000, 'subgroup_tex': 'A_5^8.C_2^6.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982352
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 6191736422400000000, 'counter': 4, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.2._.C', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '2.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '2.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 2, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '6191736422400000000.b', 'subgroup_hash': None, 'subgroup_order': 6191736422400000000, 'subgroup_tex': 'A_5^8.C_2^6.A_4^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982372
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 4127824281600000000, 'counter': 5, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.3._.A', 'maximal': True, 'maximal_normal': True, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '3.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '3.1', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 3, 'quotient_simple': True, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4127824281600000000.c', 'subgroup_hash': None, 'subgroup_order': 4127824281600000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.C_3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982383
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 2063912140800000000, 'counter': 6, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.3._.B', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '3.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 3, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '4127824281600000000.b', 'subgroup_hash': None, 'subgroup_order': 4127824281600000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.C_{12}.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982394
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 3095868211200000000, 'counter': 7, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.4._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '4.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '4.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 4, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3095868211200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982405
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1547934105600000000, 'counter': 8, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.4._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 3095868211200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982416
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1547934105600000000, 'counter': 9, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.4._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '4.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 4, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '3095868211200000000.a', 'subgroup_hash': None, 'subgroup_order': 3095868211200000000, 'subgroup_tex': 'A_5^8.C_2^6.A_4\\wr C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982020
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2063912140800000000, 'counter': 10, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.6._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2063912140800000000.g', 'subgroup_hash': None, 'subgroup_order': 2063912140800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982031
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2063912140800000000, 'counter': 11, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.6._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.1', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'S_3', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2063912140800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982042
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2063912140800000000, 'counter': 12, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.6._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2063912140800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982053
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 2063912140800000000, 'counter': 13, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.6._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '6.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '6.2', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': True, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 6, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2063912140800000000.f', 'subgroup_hash': None, 'subgroup_order': 2063912140800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.D_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982064
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 687970713600000000, 'counter': 14, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.6._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 2063912140800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982075
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1031956070400000000, 'counter': 15, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.6._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2063912140800000000.d', 'subgroup_hash': None, 'subgroup_order': 2063912140800000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2^5.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982086
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1031956070400000000, 'counter': 16, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.6._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '6.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 6, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '2063912140800000000.e', 'subgroup_hash': None, 'subgroup_order': 2063912140800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 5982097
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1547934105600000000, 'counter': 17, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.8._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '8.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '8.3', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 8, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1547934105600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982108
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 18, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.8._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '8.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 8, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1547934105600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982119
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 687970713600000000, 'counter': 19, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.9.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '9.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 9, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1375941427200000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982131
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1031956070400000000, 'counter': 20, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.5', 'quotient_Agroup': True, 'quotient_abelian': True, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_2\\times C_6', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^6.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982142
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1031956070400000000, 'counter': 21, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '12.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '12.4', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 12, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'D_6', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^6.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982153
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 515978035200000000, 'counter': 22, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^6.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982164
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 171992678400000000, 'counter': 23, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982175
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 515978035200000000, 'counter': 24, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1031956070400000000.k', 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 5982186
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 343985356800000000, 'counter': 25, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982197
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 171992678400000000, 'counter': 26, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982208
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 515978035200000000, 'counter': 27, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^6.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982219
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 515978035200000000, 'counter': 28, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1031956070400000000.j', 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2^5.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982230
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 29, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982242
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 30, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2.C_2^6.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982253
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 31, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982264
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 32, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.A_4.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982275
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 33, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1031956070400000000.b', 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^8.C_2^6.(D_4\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 5982286
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 34, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.12._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '12.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 12, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '1031956070400000000.c', 'subgroup_hash': None, 'subgroup_order': 1031956070400000000, 'subgroup_tex': 'A_5^8.C_2^6.A_4.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982297
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 35, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982308
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 36, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982319
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 37, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982330
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 38, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982341
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 39, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982353
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 40, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982363
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 41, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982364
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 42, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982365
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 43, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2.C_2^6.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982366
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 44, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.16._.J', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '16.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 16, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 773967052800000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982367
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 687970713600000000, 'counter': 45, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.18._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18.3', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 18, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times S_3', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 687970713600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 5982368
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 343985356800000000, 'counter': 46, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.18._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 687970713600000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982369
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 343985356800000000, 'counter': 47, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.18._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '687970713600000000.w', 'subgroup_hash': None, 'subgroup_order': 687970713600000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982370
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 48, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.18._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 687970713600000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982371
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 49, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.18._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '687970713600000000.e', 'subgroup_hash': None, 'subgroup_order': 687970713600000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982373
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 50, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.18._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '687970713600000000.v', 'subgroup_hash': None, 'subgroup_order': 687970713600000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982374
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 51, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.18._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '18.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 18, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 687970713600000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982375
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 515978035200000000, 'counter': 52, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.8', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3:D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^6.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 5982376
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 515978035200000000, 'counter': 53, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '24.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '24.10', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': True, 'quotient_order': 24, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_3\\times D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^6.C_3', 'supersolvable': False, 'sylow': 0}
  • id: 5982377
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 171992678400000000, 'counter': 54, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982378
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 55, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2\\wr A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982379
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 56, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.A_4.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982380
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 57, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982381
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 58, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.A_4.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982382
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 59, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982384
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 60, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982385
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 61, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.A_4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982386
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 62, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2.C_2^6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982387
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 63, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2.C_2^6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982388
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 64, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982389
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 65, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982390
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 66, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.A_4.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982391
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 67, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982392
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 68, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982393
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 69, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982395
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 70, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982396
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 71, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982397
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 72, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982398
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 73, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982399
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 74, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '515978035200000000.d', 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^8.C_2^6.S_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982400
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 75, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982401
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 76, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982402
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 77, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '515978035200000000.b', 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^3.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982403
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 78, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '515978035200000000.e', 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^8.C_2^6.A_4.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982404
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 79, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982406
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 80, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982407
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 81, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982408
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 82, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982409
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 83, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.24._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '24.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 24, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '515978035200000000.c', 'subgroup_hash': None, 'subgroup_order': 515978035200000000, 'subgroup_tex': 'A_5^8.C_2^6.A_4.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982410
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 84, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.A_4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982411
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 85, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.A_4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982412
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 86, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^3.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982413
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 87, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 5982414
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 88, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.A_4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982415
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 89, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.A_4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982417
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 90, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^3.A_4^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982418
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 91, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^2.C_2^6.C_3^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982419
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 92, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982420
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 93, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982421
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 94, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982422
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 95, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982423
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 96, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.A_4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982424
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 97, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.A_4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982425
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 98, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982426
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 99, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982021
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 100, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982022
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 101, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.(C_6\\times A_4)', 'supersolvable': False, 'sylow': 0}
  • id: 5982023
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 102, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.32._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '32.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 32, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 386983526400000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^4.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982024
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 343985356800000000, 'counter': 103, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '36.12', 'quotient_Agroup': True, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 36, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\times S_3', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982025
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 171992678400000000, 'counter': 104, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982026
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 105, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982027
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 171992678400000000, 'counter': 106, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982028
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 107, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982029
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 108, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982030
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 109, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982032
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 110, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982033
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 111, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982034
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 112, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982035
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 113, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982036
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 114, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.y', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982037
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 115, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982038
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 116, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.s', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982039
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 117, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.w', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982040
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 118, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.x', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982041
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 119, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.v', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982043
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 120, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.x', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982044
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 121, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^3.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982045
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 122, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^2:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982046
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 123, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.t', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^6.C_4:D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982047
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 124, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.r', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^6.(C_4\\times D_4)', 'supersolvable': False, 'sylow': 0}
  • id: 5982048
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 125, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982049
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 126, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.by', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982050
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 127, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982051
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 128, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.bw', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982052
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 129, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.bv', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982054
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 130, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.bw', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982055
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 131, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '36.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 36, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '343985356800000000.bu', 'subgroup_hash': None, 'subgroup_order': 343985356800000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982056
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 132, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.40.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '40.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 40, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 309586821120000000, 'subgroup_tex': 'S_4.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982057
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 133, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2\\wr A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982058
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 134, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2\\wr A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982059
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 135, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2^3.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982060
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 136, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982061
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 137, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2.C_2^5.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982062
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 138, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982063
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 139, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982065
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 140, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2.C_2^5.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982066
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 141, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^3.A_4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982067
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 142, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982068
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 143, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2.C_2^5.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982069
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 144, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2\\wr A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982070
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 145, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982071
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 146, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982072
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 147, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982073
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 148, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982074
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 149, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982076
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 150, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982077
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 151, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982078
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 152, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982079
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 153, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982080
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 154, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982081
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 155, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982082
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 156, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982083
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 157, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982084
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 158, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982085
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 159, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982087
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 160, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2\\wr A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982088
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 161, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2^3.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982089
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 162, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2\\wr A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982090
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 163, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2\\wr A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982091
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 164, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982092
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 165, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.A_4.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 5982093
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 166, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982094
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 167, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.A_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982095
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 168, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982096
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 169, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982098
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 170, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982099
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 171, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982100
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 172, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2\\wr A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982101
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 173, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982102
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 174, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982103
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 175, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982104
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 176, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982105
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 177, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2^3.A_4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982106
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 178, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982107
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 179, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982109
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 180, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982110
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 181, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982111
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 182, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982112
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 183, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.(D_4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982113
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 184, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982114
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 185, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982115
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 186, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982116
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 187, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982117
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 188, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982118
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 189, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.A_4.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982120
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 190, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982121
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 191, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982122
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 192, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982123
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 193, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982124
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 194, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982125
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 195, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982126
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 196, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982127
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 197, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982128
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 198, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982129
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 199, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982132
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 200, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982133
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 201, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982134
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 202, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982135
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 203, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982136
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 204, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2.C_2^5.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982137
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 205, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982138
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 206, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^3.A_4.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982139
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 207, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_2^4:S_3', 'supersolvable': False, 'sylow': 0}
  • id: 5982140
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 208, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982141
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 209, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982143
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 210, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982144
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 211, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2.C_2^6.C_6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982145
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 212, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982146
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 213, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982147
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 214, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^3.(D_4\\times A_4).C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982148
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 215, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '257989017600000000.a', 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^8.C_2^6.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982149
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 216, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982150
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 217, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.A_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982151
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 218, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^2.A_5^2.A_5^3.C_2^4.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982152
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 219, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982154
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 220, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^4.C_6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982155
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 221, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982156
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 222, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982157
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 223, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982158
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 224, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982159
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 225, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^5.C_6.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982160
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 226, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '257989017600000000.b', 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^8.C_2^6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982161
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 227, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982162
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 228, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982163
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 229, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^4.A_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982165
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 230, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '257989017600000000.k', 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^8.Q_8^2.C_2.A_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982166
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 231, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982167
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 232, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^6.C_6.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982168
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 233, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982169
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 234, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '257989017600000000.l', 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^8.C_2^4.Q_8:A_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982170
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 235, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '257989017600000000.n', 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^8.C_2^6.S_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982171
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 236, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982172
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 237, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982173
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 238, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'F_5.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982174
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 239, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.48._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '48.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 48, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '257989017600000000.m', 'subgroup_hash': None, 'subgroup_order': 257989017600000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2^4.S_3', 'supersolvable': False, 'sylow': 0}
  • id: 5982176
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 240, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2^3.A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982177
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 241, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^3.A_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982178
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 242, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.A_4^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982179
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 243, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982180
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 244, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.A_4^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982181
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 245, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.A_4^2.C_2^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982182
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 246, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982183
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 247, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982184
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 248, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982185
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 249, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982187
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 250, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982188
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 251, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982189
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 252, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982190
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 253, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982191
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 254, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5.A_5^3.A_5^3.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982192
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 255, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982193
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 256, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982194
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 257, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982195
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 258, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982196
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 259, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^4.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982198
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 260, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^4.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982199
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 261, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^4.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982200
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 262, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^4.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982201
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 263, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^4.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982202
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 264, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^4.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982203
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 167961600000000, 'counter': 265, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.C_2^4.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982204
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 335923200000000, 'counter': 266, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982205
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 267, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^2.A_5^6.C_2^4.C_6^2.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982206
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 268, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '193491763200000000.b', 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^8.A_4^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982207
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 269, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '193491763200000000.a', 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5^8.Q_8^2.C_3.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982209
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 270, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.C_2.A_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982210
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 271, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.64._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '64.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 64, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 193491763200000000, 'subgroup_tex': 'A_5.A_5^3.A_5^4.A_4^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982211
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 171992678400000000, 'counter': 272, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '72.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '72.30', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': True, 'quotient_nilpotent': False, 'quotient_order': 72, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': True, 'quotient_tex': 'C_6\\wr C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^4.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 5982212
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 273, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982213
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 274, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982214
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 275, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982215
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 276, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^6.C_4.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982216
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 277, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982217
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 278, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982218
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 279, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982220
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 280, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.I', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.I', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982221
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 281, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.J', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.J', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982222
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 282, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.K', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.K', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982223
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 283, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.L', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.L', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982224
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 284, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.M', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.M', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982225
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 285, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.N', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.N', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982226
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 286, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.O', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.O', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982227
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 287, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.P', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.P', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982228
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 288, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.Q', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.Q', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982229
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 289, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.R', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.R', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982231
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 290, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.S', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.S', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982232
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 291, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.T', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.T', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982233
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 292, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.U', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.U', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^2.A_5^2.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982234
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 293, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.V', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.V', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982235
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 294, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.W', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.W', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982236
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 295, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.X', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.X', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982237
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 296, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.Y', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.Y', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982238
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 297, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.Z', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.Z', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982239
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 298, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982240
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 299, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982243
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 300, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.e', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982244
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 301, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982245
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 302, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982246
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 303, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982247
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 304, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982248
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 305, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982249
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 306, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982250
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 307, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982251
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 308, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982252
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 309, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.j', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982254
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 310, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982255
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 311, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982256
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 312, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982257
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 313, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982258
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 314, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982259
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 315, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982260
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 316, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982261
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 317, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982262
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 318, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982263
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 319, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982265
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 320, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982266
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 321, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982267
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 322, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982268
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 323, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.BZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.BZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982269
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 324, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982270
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 325, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982271
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 326, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982272
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 327, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982273
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 328, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982274
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 329, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982276
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 330, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982277
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 331, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^3.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982278
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 332, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982279
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 333, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982280
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 334, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.h', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982281
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 335, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982282
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 42998169600000000, 'counter': 336, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982283
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 337, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982284
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 338, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982285
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 339, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982287
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 340, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982288
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 341, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982289
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 342, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bm', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982290
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 343, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bd', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2.C_2^5.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982291
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 344, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bn', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^3.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982292
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 345, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982293
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 346, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bb', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982294
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 347, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bc', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982295
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 348, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.j', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982296
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 349, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.CZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.CZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982298
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 350, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^6.C_2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982299
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 351, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bl', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982300
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 352, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bi', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982301
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 353, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DD', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DD', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bk', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982302
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 354, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bg', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982303
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 355, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bg', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982304
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 356, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bk', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982305
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 357, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bj', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982306
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 358, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bf', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^3.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982307
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 359, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bj', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982309
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 10749542400000000, 'counter': 360, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bf', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^5.C_2^3.C_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982310
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 361, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982311
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 362, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DM', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DM', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.d', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^6.C_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982312
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 21499084800000000, 'counter': 363, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DN', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DN', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982313
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 364, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DO', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DO', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982314
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 365, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DP', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DP', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.db', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2^5.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982315
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 366, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DQ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DQ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.cu', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_4.C_2^4.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982316
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 367, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DR', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DR', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.cw', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^3.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982317
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 368, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DS', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DS', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982318
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 369, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DT', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DT', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.cz', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982320
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 370, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DU', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DU', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982321
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 371, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DV', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DV', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.cy', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982322
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 372, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DW', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DW', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.cv', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982323
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 373, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DX', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DX', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.cx', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_4^2.D_4.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982324
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 374, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DY', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DY', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.da', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_4^2.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982325
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 375, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.DZ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.DZ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982326
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 376, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EA', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EA', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982327
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 377, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EB', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EB', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^2.A_5^2.A_5^4.C_2^6.C_2^4', 'supersolvable': False, 'sylow': 0}
  • id: 5982328
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 378, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EC', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EC', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.ba', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982329
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 379, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.ED', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.ED', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982331
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 380, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EE', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EE', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.bh', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982332
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 381, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EF', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EF', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982333
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 382, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EG', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EG', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.y', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.C_2^3.D_4', 'supersolvable': False, 'sylow': 0}
  • id: 5982334
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 383, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EH', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EH', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '171992678400000000.z', 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^8.C_2^4.D_4^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982335
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 384, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EI', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EI', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982336
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 385, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EJ', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EJ', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982337
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 386, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EK', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EK', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982338
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 671846400000000, 'counter': 387, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.72._.EL', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '72.EL', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 72, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 171992678400000000, 'subgroup_tex': 'A_5^4.A_5^4.C_2^5.C_2^4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982339
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 388, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.80._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 154793410560000000, 'subgroup_tex': 'A_4.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982340
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 389, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.80._.B', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.B', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 154793410560000000, 'subgroup_tex': 'A_4.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982342
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 390, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.80._.C', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.C', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 154793410560000000, 'subgroup_tex': 'S_4.A_5^3.A_5^4.C_2^5.A_4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982343
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 391, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.80._.D', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.D', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 154793410560000000, 'subgroup_tex': 'A_4.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982344
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 392, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.80._.E', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.E', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 154793410560000000, 'subgroup_tex': 'S_4.A_5^3.A_5^4.C_2^5.A_4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982345
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 393, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.80._.F', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.F', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 154793410560000000, 'subgroup_tex': 'S_4.A_5^3.A_5^4.C_2^5.A_4.C_6', 'supersolvable': False, 'sylow': 0}
  • id: 5982346
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 394, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.80._.G', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.G', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 154793410560000000, 'subgroup_tex': 'A_4.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982347
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 395, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.80._.H', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '80.H', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 80, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 154793410560000000, 'subgroup_tex': 'D_6.A_5^3.A_5^4.C_2.C_2^6.C_6^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982348
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 42998169600000000, 'counter': 396, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.288._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '288.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '288.1025', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 288, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4\\wr C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 42998169600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5.C_2^6.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982349
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 21499084800000000, 'counter': 397, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.576._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '576.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '576.8656', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 576, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4^2:C_2^2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 21499084800000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5.C_2^6', 'supersolvable': False, 'sylow': 0}
  • id: 5982350
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 10749542400000000, 'counter': 398, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.1152._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '1152.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '1152.157517', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 1152, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'A_4^2:D_4', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 10749542400000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5.C_2^5', 'supersolvable': False, 'sylow': 0}
  • id: 5982351
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 671846400000000, 'counter': 399, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.18432._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '18432.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': '18432.i', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 18432, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^6.A_4\\wr C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 671846400000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.A_5.C_2^2', 'supersolvable': False, 'sylow': 0}
  • id: 5982354
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 335923200000000, 'counter': 400, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.36864._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': True, 'old_label': '36864.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 36864, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^5.C_2^4.C_6^2.C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 335923200000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.S_5', 'supersolvable': False, 'sylow': 0}
  • id: 5982355
    {'Agroup': True, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 167961600000000, 'counter': 401, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.73728._.A', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': True, 'nilpotent': False, 'normal': True, 'old_label': '73728.A', 'outer_equivalence': False, 'perfect': True, 'proper': True, 'quotient': '73728.b', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 73728, 'quotient_simple': False, 'quotient_solvable': True, 'quotient_supersolvable': False, 'quotient_tex': 'C_2^8.A_4\\wr C_2', 'simple': False, 'solvable': False, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 167961600000000, 'subgroup_tex': 'A_5.A_5.A_5.A_5.A_5.A_5.A_5.A_5', 'supersolvable': False, 'sylow': 0}
  • id: 5982356
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 402, 'cyclic': False, 'direct': None, 'hall': 6, 'label': '12383472844800000000.a.390625._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '390625.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 390625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '31701690482688.j', 'subgroup_hash': None, 'subgroup_order': 31701690482688, 'subgroup_tex': 'C_2^{16}.C_3^8.C_2^6.A_4^2.C_4.C_2', 'supersolvable': False, 'sylow': 0}
  • id: 5982357
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 403, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.1679616._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '1679616.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 1679616, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': '7372800000000.a', 'subgroup_hash': None, 'subgroup_order': 7372800000000, 'subgroup_tex': 'C_5^8.C_2^4.C_2^6.C_2^6.D_{12}.C_{12}', 'supersolvable': False, 'sylow': 0}
  • id: 5982358
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 404, 'cyclic': False, 'direct': None, 'hall': 0, 'label': '12383472844800000000.a.100000000._.A', 'maximal': True, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': False, 'normal': False, 'old_label': '100000000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 100000000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 123834728448, 'subgroup_tex': 'C_3^8.C_2^4.C_2^4.C_2^4.C_2^4.C_6^2.C_2^3', 'supersolvable': False, 'sylow': 0}
  • id: 5982359
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 405, 'cyclic': False, 'direct': None, 'hall': 2, 'label': '12383472844800000000.a.23066015625.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': False, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '23066015625.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 23066015625, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 536870912, 'subgroup_tex': 'C_2^{12}.C_2^6.C_2^6.C_2^5', 'supersolvable': True, 'sylow': 2}
  • id: 5982360
    {'Agroup': True, 'Zgroup': False, 'abelian': True, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 406, 'cyclic': False, 'direct': None, 'hall': 5, 'label': '12383472844800000000.a.31701690482688.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '31701690482688.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 31701690482688, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 390625, 'subgroup_tex': 'C_5^8', 'supersolvable': True, 'sylow': 5}
  • id: 5982361
    {'Agroup': False, 'Zgroup': False, 'abelian': False, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': False, 'central_factor': False, 'centralizer_order': None, 'characteristic': False, 'core_order': 1, 'counter': 407, 'cyclic': False, 'direct': None, 'hall': 3, 'label': '12383472844800000000.a.209715200000000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': False, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': False, 'old_label': '209715200000000.A', 'outer_equivalence': False, 'perfect': False, 'proper': True, 'quotient': None, 'quotient_Agroup': None, 'quotient_abelian': None, 'quotient_cyclic': None, 'quotient_hash': None, 'quotient_metabelian': None, 'quotient_nilpotent': None, 'quotient_order': 209715200000000, 'quotient_simple': None, 'quotient_solvable': None, 'quotient_supersolvable': None, 'quotient_tex': None, 'simple': False, 'solvable': True, 'special_labels': [], 'split': None, 'standard_generators': False, 'stem': False, 'subgroup': None, 'subgroup_hash': None, 'subgroup_order': 59049, 'subgroup_tex': 'C_3^8.C_3^2', 'supersolvable': True, 'sylow': 3}
  • id: 5982362
    {'Agroup': True, 'Zgroup': True, 'abelian': True, 'ambient': '12383472844800000000.a', 'ambient_counter': 1, 'ambient_order': 12383472844800000000, 'ambient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'central': True, 'central_factor': False, 'centralizer_order': None, 'characteristic': True, 'core_order': 1, 'counter': 408, 'cyclic': True, 'direct': None, 'hall': 1, 'label': '12383472844800000000.a.12383472844800000000.a1.a1', 'maximal': False, 'maximal_normal': False, 'metabelian': True, 'metacyclic': True, 'minimal': False, 'minimal_normal': False, 'nilpotent': True, 'normal': True, 'old_label': '12383472844800000000.A', 'outer_equivalence': False, 'perfect': True, 'proper': False, 'quotient': '12383472844800000000.a', 'quotient_Agroup': False, 'quotient_abelian': False, 'quotient_cyclic': False, 'quotient_hash': None, 'quotient_metabelian': False, 'quotient_nilpotent': False, 'quotient_order': 12383472844800000000, 'quotient_simple': False, 'quotient_solvable': False, 'quotient_supersolvable': False, 'quotient_tex': 'A_5^8.C_2^6.A_4^2.C_4.C_2', 'simple': False, 'solvable': True, 'special_labels': [], 'split': True, 'standard_generators': False, 'stem': True, 'subgroup': '1.1', 'subgroup_hash': None, 'subgroup_order': 1, 'subgroup_tex': 'C_1', 'supersolvable': True, 'sylow': 1}
• gps_subgroup_data •

  Column	Type
  ambient	text
  aut_centralizer_order	numeric
  aut_label	text
  aut_quo_index	numeric
  aut_stab_index	numeric
  aut_weyl_group	text
  aut_weyl_index	numeric
  centralizer	text
  complements	text[]
  conjugacy_class_count	numeric
  contained_in	text[]
  contains	text[]
  core	text
  coset_action_label	text
  count	numeric
  diagramx	smallint[]
  generators	numeric[]
  label	text
  mobius_quo	bigint
  mobius_sub	bigint
  normal_closure	text
  normal_contained_in	text[]
  normal_contains	text[]
  normalizer	text
  old_label	text
  projective_image	text
  quotient_action_image	text
  quotient_action_kernel	text
  quotient_action_kernel_order	numeric
  quotient_fusion	jsonb
  short_label	text
  subgroup_fusion	integer[]
  weyl_group	text

  
  
  • id: 5982019
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': '1.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [689782333429205422270455743997543996085240674593, 81605664983227511929855063203191602801133843050], 'label': '12383472844800000000.a.1.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982020
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1060181598129900242361433139188900823040000000, 8691540457466064418335919964160000000, 181063739606, 649509220160404545718697908171196115479412661066, 754198607694988517582432012844980417197770899246, 384519051282723921, 77607147582130359926899, 1496939, 21777738900836704321536000000, 958003278, 16, 1175098093264533766340, 125086900342480873628148580513690513658199237743, 26584437368957224469706744791040000000, 267763391361, 19679023440, 35682825189020940030836736000000, 315777214062132212662272000000, 1888372313985163350325779, 4, 41842181694842376638156497836879683298611592960, 14135773002453942290383422413646987264000000, 13516122786698167, 20935040766364830906409162142262581772375128435, 56, 41047, 1060181007935655838741022896936625111040000000, 526261673867387060334436024320000000, 19939432175349840, 61207409996683556420967161199290272972800000000, 187849616254652477576317021596512200925695957680, 519649923, 711556437805940, 270544163759891396317889029028880578806697635821, 20934668469130129512795321341005274289430765920, 5864, 81605664071207789680824910938641321164800000000, 6266978663], 'label': '12383472844800000000.a.6._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982166
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [61194019122625749386546965716234261065550676357, 12973046415, 711374856272644, 18315078469555722830564650105696, 19, 81605664982956158254665928491230765508585195600, 1060180990569038894418574084255524613880953788, 1189622763457349736123955262555530617638, 8946449065522269249119557081335853928, 81605664071479143356413481571189112895715374212, 250683068040305358158531331669357704505551584704, 230808580587259699940308062513300515907795760021, 27527506182461542743523300411833446166537623, 62763086401918385051778940446991716333067222330, 25903107681057644854320, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 1175105186420816931851, 523394619739857457538732753526127446958090170, 1060181007935673838042302045626710540973168660, 126003, 3, 19939774182461287, 11292163159565976422126556243, 52879138329089872800000, 5780, 19562808545366408, 526288525819454039992696662801408004, 62239692364487069413130793508324577887394201624, 915068351199376579571638403775, 773550442107462560921605156210281985150001306845, 61194018245865587041964265803419789196821626739], 'label': '12383472844800000000.a.48._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982021
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [305291687776880367216949344085, 526261695645125961177898425710854332, 52879144375763177552644, 1060180981351227627726323593433139759673482303, 61716668878433790189515266044349378523002283530, 925553956164685081385508534983, 21457691095534956230756618072615331961627117959, 958008963, 27527506453806365681203665107654058327765140, 27527506182452711870396763364018742427267863, 7, 41332923421187507012485970937406234334928822599, 12804767090570183, 19678982420, 1060181580763265310030588821829922406400090787, 27527506453807291234406697721220415723489368, 21777738900843838992887813763, 20948805093089486627633530958807021447900368147, 21457691364717810656396629312465111881516254656, 3, 27527506453807280748828708909296237746058167, 925553956164820263530535772811, 5760, 21457692258844635678557763529289242040613893853, 689782333429205422270455743997543996085240674593, 26058202536557565048790505791234316205, 12454173380, 20920914432399699689804901292178189416546713487, 131783, 711387310320016, 1046046415872648377836940607975356975800702184, 82128314695347619184668128041709548370942227399, 894653069034282944799833569217362826183, 41063, 936846066445362441978488615520, 518928492, 61207409996954936948508986829526377202605224992, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.32._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982022
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [80656, 1582831614182571052860806046549660334673785041, 1582831605491030595394664123248795543989994834, 1189877644614163462993149444393116588751, 519040095, 14135755635818399374975533634885300653682560, 814841331821341899012081876070991262844460252836, 17637997777154668545699778236923574976, 16, 21777738900836704340696109372, 20920904698664053932827841377685470487688668776, 7, 10087, 147054230786941403664322115074164500485636291193, 4, 1046045252299837776921053205408985891292154724, 1596967360600587320902276149467162667429929040, 42364832040844679201609129902425071576375448998, 26313083693369406968763157850118303368, 1596968238141928494770253209180548258689164216, 526261673867387060340859334227666572, 26584437368957225644799126128625397856, 9756427027574850294115528848003, 8691540457466142025497018228722768648, 131783, 327069374973677170477784144663, 20398254665261221013258219019884487921826643767, 40823292580851977582177964184976922058130209924, 305291636072853270896953548736, 12972960011, 376610736943447, 20934668469130129512795321341005274289430765920, 167465877229062316147271583136128316384191533923, 526261673867387060341570976406707860, 26058184559032861511043996570657729124], 'label': '12383472844800000000.a.32._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982023
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [518924176, 1060181007664311930872419785502352584292458154, 78680070883864713030488, 1582831623129027457481083804723075621964108913, 1569439872039677866712986740737620187569028412, 631554429299368900021272617040, 61730804633790032042382393415892235984916265086, 19562821518361695, 147054230786941403664322115074164500485636291193, 376628939049607, 4, 21777791779962563435341584492, 14135746418017171817740143721236437366995207, 21981085680015280623708154725779752060717877760, 17638007217804536010452793027802886419, 6423302762685371, 12972965768, 62790241628232770943035614688307287070015789427, 609776767903498604866762986244, 8, 19679027760, 925553903285573449788505731843, 608103596760139114626012002101529746656, 20398254665261221013258219019884487921826643767, 62790241602445948923531787335643342616311400899, 17637989850057710889127679413607424003, 20398254083215792315916204540519786038352842199, 10080, 167465877229062316147271583136128316384191533923, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624, 41319159068421077695417946429995334486869502752, 125073137179600311121856870158190100128012099167, 21457691087114777985349379618768388836941869427, 6267059300], 'label': '12383472844800000000.a.32._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982024
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21777740075941179025489557852, 27527506182452995384269207095298240437203229, 1060180990042758927249940452707670840635695496, 82637573559994329943445729060261097655825516812, 621068876038087494540810054503, 19, 41332550541644290608377615284078471876537430420, 82651709914499495747707478240128204153336531984, 327069426677730211217746121155, 61744196376459221703224364494684360430686979166, 775105749222343615536225307744033742373369889124, 61744196384608019431175118931792235314759781789, 526261979159100740329577129035997299, 1207244279863078105469863515556482575392, 26313084608437680560991443917578378260, 20412018713313893005834649913180544916074129971, 4, 10084, 61744196385134281094556308678311918550815536500, 7224950884, 376628939049604, 2248008590232834146647, 518928484, 51704034189157782437767, 19679108423, 13181377308428172, 166914946568508230964303811396073464845898445995, 271353697365612601835908217923836252, 40809528523844643725367873387150289834683509795, 77607148293692026778179, 82142450745953114301817872451497056737980796176, 12972965763, 27899803425359881283039518846343646217949373, 62253456438606166496597919556043652562665671073, 518963780, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.36._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982025
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [958003200, 61193646860379270675272042349514123686206840451, 526262599421342049947786878835553120, 775105749222343615536225307744033742373369889124, 11292162086656190573374505043, 1175111609387759457132, 26058175695089837409615598967537709364, 42392731835858056214807353972322412435791278135, 4, 21967322222419985080754142855204267669875875305, 19678982407, 62253456126269827057699358386850844017295370091, 26584437368957250372821183915566410318, 536786370557827456806323203688078509774643783, 6266943371, 936846092348227544209213132815, 376628938963200, 631554455100295408109915008117, 41332551427605783218865147546271986501888060244, 14135746418016257555944890581447608058864659, 61207409996683582946656459782874090119407860368, 166914946568508230964303811396073464845898445995, 12454041623, 6267018248, 41346686279370731345904576196091375619412879463, 82651709306140992220122139448986863780513575520, 12, 42392731514303932643870686285828939614959447060, 526262599421316249137232904206495385, 1596968246562114960871203961289463750177737048, 8691540457467358194649053544104405175, 62253456438606166496597919556043652562665671073, 26584437368957276174111560584638674560, 19562815770230884, 62239692364487069413130793508324577887394201624, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.36._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982026
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [536786370557828382360226489248723549391913044, 21457691069493260969844399728855905900712266852, 19, 82114922935583164469316341083996518875136005775, 21777738900836704321536000012, 621572402461017047040003, 550923020040911448736007217040730038604888442, 166419823163738242219495385402957719142111309970, 62790242792323602706123791844660171407572833271, 1189877644614162143416159850987520000000, 14135746418016246263783979029731738118918416, 885961527955746116073023046942720000004, 19678982400, 40795764162394887642834466765616153270209903940, 1292600836944249790003204, 4, 82114922935583199814586577141987572147346263082, 271353675587871452984943575040000000, 794443821143268743261120808447059664794112018454, 131760, 20397882107781880727598747106900065988243286410, 305291636072847600828119521975, 13516310036365920, 1292600836944248832000000, 71, 631554428124265136699400192016, 1175091669949317120000, 631554428124277230071955456016, 17637988913211644444021332377600000003, 26976017466662584320000, 375233177144969901575759169697157368557111768250, 27899803425359881283039518846343646217949373, 41332550532952714195864625584324154229694003211, 11292160911544957796352000000, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 2534672732080677027840000, 631554428124757429028941972375, 5785, 305291636072840466137088000016], 'label': '12383472844800000000.a.36._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982027
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [371337674932224000, 958003200, 21777738900836704321536000000, 86400, 1269047912603090780160000, 61716668878433790189515266044349378523002283530, 1181202549834004434843459382149120000000, 104, 1189877644614162143416159850987520000000, 74, 628574923719342717714312067529675892858515396406, 646300418472124416000000, 355419187200, 13181357629440000, 41332550836877063438474904323291059159224743129, 82128314695347600891367450163293244620800000000, 376610217984000, 17683523987479403909087232000000, 315777214062132212662272000000, 4, 448560, 536786370557827456806323203681655193600000000, 27527506182452690092631959163161804800000000, 1060180981351218469783798427229880320000000000, 526261673867387060334436024320000000, 8, 26313083693369353016721801216000000000, 77607141158826639360000, 292539013496914028765043109712979912817917381737, 48, 12804747411456000, 61221546924559040256347101913783239455421712702, 262013875200, 10080, 52879125147719270400000, 15, 774059703128025091067682473137283913681440097243, 20934668469130129512795321341005274289430765920, 2248001455555215360000, 12972960000, 35378340135870352775970816000000], 'label': '12383472844800000000.a.36._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982058
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [519004800, 19562820999366983, 83160969368822429769697474614214970565001344829, 86400, 376617443015523, 42365204034179682806114151839453298401761111079, 795503258129019968839763678029538332035486310979, 17366636163177730228631967174570860183, 4, 526262599421370201421503104016425060, 41842181694842349807980956910182289662223266633, 28151129076050343808087, 1046045244151005280407370387535624320198896090, 550922143288927396440108748346454657992790975, 1073945637507504023220237192670137524857289593, 61221545743101572972523227551841461479161570652, 19160064020, 20398254665261221013258219019884487921826643767, 2248002166937296498567, 523394610793391024269715990722754336139140481, 27527532495537004530862087124821980057686403, 90731, 10080, 1582831605491030605880243185808483991855984484, 165882665426147255080673884038133510676944559280, 14136658692646188680007378888597994175927069, 14135764310913157754997982685538245524403816, 526262294936317050462533953465175055, 62239692364487069413130793508324577887394201624, 51120, 925553957237607671737860137048, 62253455544224443200322842937118516632501508504, 21994849746232194687866870201638904036695039964], 'label': '12383472844800000000.a.48._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982028
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [8946448455745658705756296283461923843, 52879132282403595254423, 2248021018370985712564, 104, 21444299631011541970078888106300654762576166348, 1046045244151014122572681389296027887448692576, 19228043907117372, 519050167, 17637989838765547729581266049586144099, 21777818755986453393463597943, 5768, 99, 1569440454085097395625035646626780481339139135, 41841809692824037110639736484146724834450130011, 3, 21457691069493261906688522776601843049049987852, 41319159095005541590063201558887043332856844749, 550922125922328146932564006473627105006258491, 51123, 19562820999402252, 271353675587924332116514609966080008, 85, 27899803425359881283039518846343646217949373, 376628939089215, 1596595654341343590797513071470586749782936445, 62253456438606166496597919556043652562665671073, 536786379504276849398046106542131558089632007, 795517393875955988248901084842696168003282230867, 15, 14135746689369921851656607119861384743818167, 82128315885496600106671368318376068590973111608, 925553905533562100608763677456, 62239692364487069413130793508324577887394201624, 19160064016, 1569439871784778078237742988836406837312648998, 14135772476201393295647516691799456481280011, 125073137179600311121856870158190100128012099167], 'label': '12383472844800000000.a.36._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982029
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [13516141427838007, 536786370557827783875699352585301155510524255, 2248001455556173443856, 5767, 19, 1596967361126866362516488331241201812213292899, 925553957238081824015714118580, 17694816174294543128616374136998, 7134671351934007, 45379, 526261673867389308476743807767489128, 78680058079122610392968, 526261673867387060334436037732125459, 1046046146952906201425345152537359932485677419, 27527506453806986749353547376879128387607069, 9462428871990787292428981964160, 958013296, 14135746689370227143370185155799392033002252, 11292160911551381092847696647, 3, 41319159095005541590063201558887043332856844749, 1596967352435307927526910641434323738382434695, 62762714990373875600070241392740102423353445779, 93405312074, 315777242213241349287146521696, 81605292382068470734690550392246489559044964481, 21981086861472730528902806998011222523242131369, 61221546629334455224118861893123657437214809637, 26058176022159214631543938491144471681, 62253456438606166496597919556043652562665671073, 1596595654341343590797513071470586749782936445, 795517393875955988248901084842696168003282230867, 925553983140709306127428608016, 711375375196816, 20, 1569439871784778078237742988836406837312648998, 125073137179600311121856870158190100128012099167], 'label': '12383472844800000000.a.36._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982030
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40795765352017623354941008869638607634568511412, 19562821518291139, 86404, 21981086279427309496918172054729335539289900815, 21981085706073439550342251272330309086816554154, 16, 83174359947647439267579564074395447541673523289, 83160968466283659675136681209617433265442188916, 550922125667384487605625254782556458392332171, 1175110897993224318011, 711387310365363, 42365205198270504769217420556446095957065425354, 526261695645203568313010554057625527, 7134672309811211, 21777817580894783438398368023, 536786370557828088360805279994529984740352003, 3, 1569439845997947848931505177000762552796128095, 41319159095005541590063201558887043332856844749, 19160195780, 915068353447397263171279673520, 27527506182452690092709566323548675346553687, 1596967352435308232012014423016511919825807492, 41319159381291865343746894833214822058875244267, 41332923733795146771117175110732900169112380092, 21981086861472730528902806998011222523242131369, 62790242792323602706123844672444684467748775671, 10080, 26313084608437706464119064400172794246, 1596595654341343590797513071470586749782936445, 795517393875955988248901084842696168003282230867, 28151128364656327516811, 550922116975843714362296245384709402520697780, 958129200, 125073137179600311121856870158190100128012099167, 1569439871784778078237742988836406837312648998, 121680], 'label': '12383472844800000000.a.36._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982031
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14135755109556703729902349413389787313061779, 754198607694988517582432012844980417197770899246, 1060180981877480775205691218989128558570541363, 315777242213260912089424828823, 295495929876537911984946925914494668803, 8691540479243855023206813443917603207, 26058175695089915016514178974482580328, 1582831623383927506888304793127748882315094983, 51704034189157782432007, 4, 41842181694842376638156497836879683298611592960, 21777741148845294566824883156, 376628938968968, 1046045252826135133615467027866987764234398016, 18721105208, 2248001455568627445863, 79855155419148945280091, 62763086992655318796395330494087471415786766094, 1046045261517639897768928942788716307506967607, 526261673867465740404943272108993139, 27527514873993474628073599421709551989943055, 10091, 17637988913211696148055186776931379135, 1189622736615882706488874819093564207452, 894653068413212182739360422463053494963, 1583206014146691502834054960021674972097777885, 270544163759891396317889029028880578806697635821, 27527506182453626939964029101791429774458228, 62762714113630123239483372378068348225444155056, 12, 519004815, 27899803425359881283039518846343646217949373, 77607141535437376268168, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624, 17892897837045065584945018807759897688, 86407, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.6._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982032
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [526262294936237195320630965107757438, 327069401949694637139929309291, 16, 958008975, 20425782188810300393614105376473769181547590307, 1046045252299838376214648481389881021772825703, 78680050944433495693931, 26313084618923284453390871499887472528, 12972960012, 550922117502141680832800198876103442837941600, 1582831927045161788139864930941165425016679202, 631554507979419844472970281122, 1175091669962729205859, 925553980892701803885935621801, 3, 10083, 27527532240628385182521072569324958916326480, 41319159095005541590063201558887043332856844749, 86420, 1060181007664303088707082880633933189971065692, 11, 271353686880084068692138003728127928, 81605292382068470734690550392246489559044964481, 21777741148838159877270319459, 550922125667419549364420133565138918852860339, 21981086861472730528902806998011222523242131369, 536786987336518691811590184338452470651672273, 82114924143098824816380195289778352720462315630, 62253456438606166496597919556043652562665671073, 1596595654341343590797513071470586749782936445, 795517393875955988248901084842696168003282230867, 305291715927983457135427686980, 1569439871784778078237742988836406837312648998, 125073137179600311121856870158190100128012099167, 181581533280], 'label': '12383472844800000000.a.36._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982033
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1266799918282206916649040, 1266799911147535564800000, 36303894039155912709636096000000, 40795765048356432988509680342474970113962885274, 181062604800, 609776689223427721003008000000, 27527506182488993986671115075871440896000081, 771120, 646300418472124417099440, 230299321418968200272709347442081815112835446418, 518918400, 2559400748091784396800000, 82651710218415603553460394476586317905920000003, 10080, 711374856192000, 523394932084374611211834721094459951199907728, 2507696728130150123212800, 6266937600, 62253455526857780522745494417926756761600000008, 1046045234933202223520014448200148582400000000, 20934668469130129512795321341005274289430765920, 536786379767407370556336339980072267901145450, 564199939505597135792782985531000232604741946973, 1207515633527373787860181183365120000000, 1175091669949317120000, 51704033477769953280000, 21777738900836704321536000000, 1596967351909045926590121630911535513600000000, 936846064197104891461632000000, 271353675587871452984943575040000000, 36303894039155912709636096000104, 131760, 82651709306140991904344925386841469747200000000, 523394636851566708067312632920533893120000000, 82651709306140991904344925386841469747200000004, 1496880, 25903358105928855642720, 13412044800, 754707865986001788913801685782367588623311935917, 354980102400, 1266799930375579471872000, 62253456412547990181246384853034082280491873923], 'label': '12383472844800000000.a.36._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982034
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [526261673867438764381095171581743456, 82128315295031028541860198391698689910556225932, 27527506708714385737760168349273841113138003, 14135746418016867332711721163508782362992035, 292525248849432864244830408319389225162519533883, 16, 1596968558898418095873762396011692970094411656, 62763086401918385051778940446991716333067222330, 14135746944278541200022349428516511116089528, 271354590656249628391459792035971771, 1175111609369038467848, 711374856202092, 609776743175475835685806125371, 28151122317976237034175, 19228043907077783, 607832233643901482539204350707246544484, 25903107681069659040003, 733786589563720080682040078133738965026982053595, 536786379249368829340791598337418293019231408, 42392360710854805955409534699768983149461374683, 3, 21777817580900830111703166003, 958013284, 77607160721635703684412, 21981086861472730528902806998011222523242131369, 10080, 27899803425359881283039518846343646217949373, 1596595654341343590797513071470586749782936445, 62253456438606166496597919556043652562665671073, 6423296495696644, 62267592176858868276435925281613189370808820586, 1569439845726594151565816143108230816934547763, 62239692364487069413130793508324577887394201624, 1596967377967222253234464771689428450664190819, 82128315294504739743820253484290099324981591048, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.36._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982035
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [526261673867438764381095171581743456, 82128315295031028541860198391698689910556225932, 27527506708714385737760168349273841113138003, 14135746418016867332711721163508782362992035, 16, 1596968558898418095873762396011692970094411656, 62763086401918385051778940446991716333067222330, 14135746944278541200022349428516511116089528, 271354590656249628391459792035971771, 1175111609369038467848, 711374856202092, 609776743175475835685806125371, 28151122317976237034175, 19228043907077783, 607832233643901482539204350707246544484, 25903107681069659040003, 536786379249368829340791598337418293019231408, 42392360710854805955409534699768983149461374683, 3, 21777817580900830111703166003, 958013284, 794457212911971440068013063447976069105467924366, 105721671432018041143570368327647056299540226452, 81605292382068470734690550392246489559044964481, 77607160721635703684412, 21981086861472730528902806998011222523242131369, 10080, 27899803425359881283039518846343646217949373, 1596595654341343590797513071470586749782936445, 62253456438606166496597919556043652562665671073, 6423296495696644, 62267592176858868276435925281613189370808820586, 1569439845726594151565816143108230816934547763, 1596967377967222253234464771689428450664190819, 82128315294504739743820253484290099324981591048, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.36._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982036
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [18720979200, 1569439845726593236497489671748373708800000000, 112, 958003200, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 61716668878433790189515266044349378523002283530, 1180080, 194035564800, 62763086401918385051778940446991716333067222330, 376610217984000, 4, 271353675587871452984943575040000000, 146021941082269445163487497939835587874327193410, 27527506182452690092631959163161804800000000, 12454041600, 608103586992419926139258551664640000000, 418701394849189655857631295641132154013008036507, 17366635237623772991036388802560000000, 81619055830972226124653758918774751232000000000, 262853009362944000, 11, 20412017853673644751935929307942089889368201547, 1175091669949317120000, 6758061133824000, 26547467011581069173587968000000, 10080, 27899803425359881283039518846343646217949373, 42364832622626932211155331582655175402523735849, 78680050944432537600000, 20934668469130129512795321341005274289430765920, 1913100329619659980800000, 121680, 621068850134972678799360000000], 'label': '12383472844800000000.a.36._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982037
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [18720979200, 1569439845726593236497489671748373708800000000, 112, 958003200, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 61716668878433790189515266044349378523002283530, 272141131710949383847120362968587164108734740443, 1180080, 194035564800, 606014221995620334066324660652985485823297463717, 815391882535448292382555537919027703848601926388, 376610217984000, 4, 271353675587871452984943575040000000, 27527506182452690092631959163161804800000000, 12454041600, 608103586992419926139258551664640000000, 17366635237623772991036388802560000000, 81619055830972226124653758918774751232000000000, 262853009362944000, 11, 20412017853673644751935929307942089889368201547, 1175091669949317120000, 6758061133824000, 26547467011581069173587968000000, 10080, 42364832622626932211155331582655175402523735849, 27899803425359881283039518846343646217949373, 78680050944432537600000, 20934668469130129512795321341005274289430765920, 1913100329619659980800000, 121680, 621068850134972678799360000000], 'label': '12383472844800000000.a.36._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982038
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [733250175499088459121262121484102740408049706312, 19939418763395760, 536786370557828382360226489248723549391913044, 9217828667508302148194571781054854967, 16, 61716668861058957723855703113339740233511471325, 646300418472124416000000, 604995703685350451983183036966875689086003960851, 53952034933325168640000, 62763086401918385051778940446991716333067222330, 27528105865888583459554154145950062523103852, 523023521066117981121731405810372875500813449, 631554428124264801935280947763, 27527810369949865563017497656014650359024007, 131760, 526261989644601122466649042011267843, 20397882107781880727598747106900065988243286410, 36292601878244367751840262924160, 936846064197104891461632000000, 62240064079947695523255498600315999620865599359, 518918400, 355938105600, 8946449087300008149950549112840237360, 21777738900836704322054928480, 41869709791745335383958000128658656453301902758, 41040, 355938196324, 17892905775434184153043223999487815763, 10080, 250696832105732878808105140444380718663370604864, 8842165285201322275252187136071, 13516122267738720, 20934668469130129512795321341005274289430765920, 13412044823, 14135746418016562040998041181172444737116252, 2248001455555215360000], 'label': '12383472844800000000.a.36._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982039
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [19939418763395760, 536786370557828382360226489248723549391913044, 9217828667508302148194571781054854967, 16, 61716668861058957723855703113339740233511471325, 646300418472124416000000, 604995703685350451983183036966875689086003960851, 53952034933325168640000, 27528105865888583459554154145950062523103852, 523023521066117981121731405810372875500813449, 147067986300099160365356988828871884354613897576, 631554428124264801935280947763, 27527810369949865563017497656014650359024007, 131760, 526261989644601122466649042011267843, 20397882107781880727598747106900065988243286410, 36292601878244367751840262924160, 936846064197104891461632000000, 62240064079947695523255498600315999620865599359, 518918400, 355938105600, 8946449087300008149950549112840237360, 21777738900836704322054928480, 41869709791745335383958000128658656453301902758, 41040, 355938196324, 17892905775434184153043223999487815763, 10080, 8842165285201322275252187136071, 13516122267738720, 20934668469130129512795321341005274289430765920, 13412044823, 14135746418016562040998041181172444737116252, 2248001455555215360000], 'label': '12383472844800000000.a.36._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982040
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [18720979200, 25903358105928855642720, 958003200, 646300418472124417099440, 1582831605491029680326337651881803776000000004, 606014221700658888680127953244291849664426579965, 81591901507994217423660505703451633782529322154, 620499492675411148800000, 2248001832165433344000, 25903107681056686080000, 35682825189020940030836736000000, 523394932084374611211834721094459951199907728, 4, 271353675587871452984943575040000000, 51704034189144809472000, 131760, 56, 20398254986798844908973218829095896350720000012, 18293300676702831630090240000000, 19228043907072000, 166942844886814932258887116177695407393041210786, 5760, 1496880, 42365204008121479953778053151554168422400000000, 27527523549087927716404950199550607360000000, 20398254083470681715603329765036460605440000000, 1207515633527373787860181183365120000000, 609776689223427721003008000000, 711374856192000, 1941149256871928463360000, 41040, 20398254074524233259857749739351048192000000000, 295241021878258318770436335206400000000, 61730804607476947433944636422838498099200000004, 536786379767407370556336339980072267901145450, 26536174850669524215791616000000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 349232083200, 12972960000, 1583203607501138115425958643476955099832586972], 'label': '12383472844800000000.a.36._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982041
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [18720979200, 25903358105928855642720, 958003200, 646300418472124417099440, 1582831605491029680326337651881803776000000004, 81591901507994217423660505703451633782529322154, 620499492675411148800000, 2248001832165433344000, 25903107681056686080000, 35682825189020940030836736000000, 523394932084374611211834721094459951199907728, 4, 271353675587871452984943575040000000, 51704034189144809472000, 131760, 56, 20398254986798844908973218829095896350720000012, 18293300676702831630090240000000, 19228043907072000, 106244322360600230381517121842554029162124892142, 5760, 1496880, 42365204008121479953778053151554168422400000000, 27527523549087927716404950199550607360000000, 20398254083470681715603329765036460605440000000, 1207515633527373787860181183365120000000, 609776689223427721003008000000, 711374856192000, 376265461937600743209086204912168317855908682835, 1941149256871928463360000, 41040, 20398254074524233259857749739351048192000000000, 793920798812614763259729250317295675502131573849, 295241021878258318770436335206400000000, 61730804607476947433944636422838498099200000004, 536786379767407370556336339980072267901145450, 26536174850669524215791616000000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 349232083200, 12972960000, 1583203607501138115425958643476955099832586972], 'label': '12383472844800000000.a.36._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982042
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [14135755109556703729902349413389787313061779, 754198607694988517582432012844980417197770899246, 1060180981877480775205691218989128558570541363, 315777242213260912089424828823, 295495929876537911984946925914494668803, 8691540479243855023206813443917603207, 26058175695089915016514178974482580328, 1582831623383927506888304793127748882315094983, 51704034189157782432007, 4, 41842181694842376638156497836879683298611592960, 21777741148845294566824883156, 376628938968968, 1046045252826135133615467027866987764234398016, 18721105208, 2248001455568627445863, 79855155419148945280091, 62763086992655318796395330494087471415786766094, 1046045261517639897768928942788716307506967607, 526261673867465740404943272108993139, 27527514873993474628073599421709551989943055, 10091, 17637988913211696148055186776931379135, 1189622736615882706488874819093564207452, 894653068413212182739360422463053494963, 270544163759891396317889029028880578806697635821, 27527506182453626939964029101791429774458228, 62762714113630123239483372378068348225444155056, 12, 519004815, 27899803425359881283039518846343646217949373, 77607141535437376268168, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624, 17892897837045065584945018807759897688, 773550442107462560921605156210281985150001306845, 86407, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.6._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982043
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [18720979200, 25903358105928855642720, 958003200, 646300418472124417099440, 1582831605491029680326337651881803776000000004, 81591901507994217423660505703451633782529322154, 620499492675411148800000, 2248001832165433344000, 25903107681056686080000, 35682825189020940030836736000000, 523394932084374611211834721094459951199907728, 4, 271353675587871452984943575040000000, 51704034189144809472000, 131760, 56, 20398254986798844908973218829095896350720000012, 18293300676702831630090240000000, 19228043907072000, 5760, 1496880, 42365204008121479953778053151554168422400000000, 27527523549087927716404950199550607360000000, 20398254083470681715603329765036460605440000000, 1207515633527373787860181183365120000000, 609776689223427721003008000000, 711374856192000, 1941149256871928463360000, 41040, 20398254074524233259857749739351048192000000000, 793920798812614763259729250317295675502131573849, 295241021878258318770436335206400000000, 61730804607476947433944636422838498099200000004, 536786379767407370556336339980072267901145450, 26536174850669524215791616000000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 349232083200, 12972960000, 710702866412417080848006961526223171182504856289, 1583203607501138115425958643476955099832586972], 'label': '12383472844800000000.a.36._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982044
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1266799918282206916649040, 1266799911147535564800000, 36303894039155912709636096000000, 40795765048356432988509680342474970113962885274, 181062604800, 609776689223427721003008000000, 27527506182488993986671115075871440896000081, 771120, 646300418472124417099440, 518918400, 2559400748091784396800000, 82651710218415603553460394476586317905920000003, 10080, 711374856192000, 62239692364487069413130793508324577887394201624, 523394932084374611211834721094459951199907728, 2507696728130150123212800, 6266937600, 62253455526857780522745494417926756761600000008, 1046045234933202223520014448200148582400000000, 20934668469130129512795321341005274289430765920, 536786379767407370556336339980072267901145450, 564199939505597135792782985531000232604741946973, 1207515633527373787860181183365120000000, 1175091669949317120000, 51704033477769953280000, 21777738900836704321536000000, 1596967351909045926590121630911535513600000000, 936846064197104891461632000000, 62763086401918385051778940446991716333067222330, 271353675587871452984943575040000000, 36303894039155912709636096000104, 131760, 82651709306140991904344925386841469747200000000, 523394636851566708067312632920533893120000000, 82651709306140991904344925386841469747200000004, 1496880, 25903358105928855642720, 13412044800, 754707865986001788913801685782367588623311935917, 354980102400, 1266799930375579471872000, 62253456412547990181246384853034082280491873923], 'label': '12383472844800000000.a.36._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982045
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [20934669042755362249343626319251279875285206452, 536786370557828382360226489248723549391913044, 26313083693371267189961206481879040000, 82142450459666763739731197373173246503123834858, 125086900046721803768438264336287568225504808177, 376610217989763, 305291636072840466137088041099, 61716668861058931503458066505960207336061422740, 62763086401918385051778940446991716333067222330, 894381714737624930610777195724701235203, 305291636072847600808441259575, 10084, 526261673868007559827111436426803200, 305291636072840466137088000023, 131760, 19228043907077760, 20397882107781880727598747106900065988243286410, 3, 11292160911558473918619648016, 631554428124271183385677914743, 622747494130966364160000, 28151109136611901440000, 518918400, 19679073120, 631554428124520520628192397975, 1292600836944248832000000, 1175091669949317120000, 79855142614381854720000, 669893338219056563461524139896178884663553619787, 27527506182452690092631959163161824478982400, 256471558447104071, 21994477752650487358607753288687358472135975053, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 20, 27527506182470994685469573553265827071783536, 631554428124757429028941972375, 82128314695347601501144139386733770372177549979], 'label': '12383472844800000000.a.36._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982046
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1266799918282206916649040, 1266799911147535564800000, 36303894039155912709636096000000, 40795765048356432988509680342474970113962885274, 181062604800, 609776689223427721003008000000, 27527506182488993986671115075871440896000081, 771120, 646300418472124417099440, 518918400, 2559400748091784396800000, 82651710218415603553460394476586317905920000003, 10080, 711374856192000, 523394932084374611211834721094459951199907728, 2507696728130150123212800, 6266937600, 62253455526857780522745494417926756761600000008, 1046045234933202223520014448200148582400000000, 20934668469130129512795321341005274289430765920, 536786379767407370556336339980072267901145450, 1207515633527373787860181183365120000000, 1175091669949317120000, 51704033477769953280000, 21777738900836704321536000000, 586166518331829138508267290418777115429777450899, 1596967351909045926590121630911535513600000000, 230271421901837414129314238368379730898588078690, 936846064197104891461632000000, 62763086401918385051778940446991716333067222330, 271353675587871452984943575040000000, 36303894039155912709636096000104, 131760, 82651709306140991904344925386841469747200000000, 523394636851566708067312632920533893120000000, 82651709306140991904344925386841469747200000004, 1496880, 25903358105928855642720, 13412044800, 354980102400, 1266799930375579471872000, 62253456412547990181246384853034082280491873923, 709643056538686014333171279081299290098834236894], 'label': '12383472844800000000.a.36._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982047
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [51704033477769953280000, 25903358105928855642720, 1046045234933202223520014448200148582400000000, 2507696728130150123212800, 21777738900836704321536000000, 646300418472124417099440, 292539013470592685961791527469034339041721485405, 1266799911147535564800000, 82651709306140991904344925386841469747200000000, 1266799930375579471872000, 523394932084374611211834721094459951199907728, 271353675587871452984943575040000000, 13412044800, 586166518331829138508267290418777115429777450899, 131760, 2559400748091784396800000, 36303894039155912709636096000000, 936846064197104891461632000000, 40795765048356432988509680342474970113962885274, 27527506182488993986671115075871440896000081, 1496880, 1266799918282206916649040, 518918400, 6266937600, 609776689223427721003008000000, 1207515633527373787860181183365120000000, 711374856192000, 1596967351909045926590121630911535513600000000, 62253455526857780522745494417926756761600000008, 1175091669949317120000, 771120, 10080, 82651709306140991904344925386841469747200000004, 709643056538686014333171279081299290098834236894, 36303894039155912709636096000104, 536786379767407370556336339980072267901145450, 20934668469130129512795321341005274289430765920, 82651710218415603553460394476586317905920000003, 181062604800, 523394636851566708067312632920533893120000000, 62253456412547990181246384853034082280491873923, 354980102400], 'label': '12383472844800000000.a.36._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982048
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1266799918282206916649040, 1266799911147535564800000, 36303894039155912709636096000000, 40795765048356432988509680342474970113962885274, 181062604800, 609776689223427721003008000000, 27527506182488993986671115075871440896000081, 771120, 646300418472124417099440, 518918400, 2559400748091784396800000, 82651710218415603553460394476586317905920000003, 10080, 711374856192000, 62239692364487069413130793508324577887394201624, 523394932084374611211834721094459951199907728, 2507696728130150123212800, 6266937600, 62253455526857780522745494417926756761600000008, 1046045234933202223520014448200148582400000000, 20934668469130129512795321341005274289430765920, 536786379767407370556336339980072267901145450, 1207515633527373787860181183365120000000, 1175091669949317120000, 51704033477769953280000, 21777738900836704321536000000, 1596967351909045926590121630911535513600000000, 936846064197104891461632000000, 271353675587871452984943575040000000, 36303894039155912709636096000104, 131760, 82651709306140991904344925386841469747200000000, 523394636851566708067312632920533893120000000, 82651709306140991904344925386841469747200000004, 1496880, 25903358105928855642720, 13412044800, 354980102400, 1266799930375579471872000, 292539013470592685961791527469034339041721485405, 62253456412547990181246384853034082280491873923, 709643056538686014333171279081299290098834236894], 'label': '12383472844800000000.a.36._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982049
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [18720979200, 1569439845726593236497489671748373708800000000, 112, 958003200, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 61716668878433790189515266044349378523002283530, 1180080, 194035564800, 62763086401918385051778940446991716333067222330, 376610217984000, 250160417416428651259629382550620791997450192008, 4, 271353675587871452984943575040000000, 146021941082269445163487497939835587874327193410, 27527506182452690092631959163161804800000000, 12454041600, 608103586992419926139258551664640000000, 418701394849189655857631295641132154013008036507, 17366635237623772991036388802560000000, 81619055830972226124653758918774751232000000000, 262853009362944000, 11, 20412017853673644751935929307942089889368201547, 1175091669949317120000, 6758061133824000, 26547467011581069173587968000000, 10080, 42364832622626932211155331582655175402523735849, 78680050944432537600000, 20934668469130129512795321341005274289430765920, 1913100329619659980800000, 121680, 621068850134972678799360000000], 'label': '12383472844800000000.a.36._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982050
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [526261673867438764381095171581743456, 82128315295031028541860198391698689910556225932, 27527506708714385737760168349273841113138003, 14135746418016867332711721163508782362992035, 16, 1596968558898418095873762396011692970094411656, 62763086401918385051778940446991716333067222330, 14135746944278541200022349428516511116089528, 271354590656249628391459792035971771, 1175111609369038467848, 711374856202092, 609776743175475835685806125371, 28151122317976237034175, 19228043907077783, 607832233643901482539204350707246544484, 25903107681069659040003, 536786379249368829340791598337418293019231408, 42392360710854805955409534699768983149461374683, 3, 62762714990373875600070241392740102423353445779, 21777817580900830111703166003, 958013284, 794457212911971440068013063447976069105467924366, 105721671432018041143570368327647056299540226452, 81605292382068470734690550392246489559044964481, 77607160721635703684412, 21981086861472730528902806998011222523242131369, 10080, 1596595654341343590797513071470586749782936445, 62253456438606166496597919556043652562665671073, 6423296495696644, 62267592176858868276435925281613189370808820586, 1569439845726594151565816143108230816934547763, 1596967377967222253234464771689428450664190819, 82128315294504739743820253484290099324981591048, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.36._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982051
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [25903107681056686080000, 958003200, 62790614507784246162621519795010475942078536410, 4, 250174181750775896696094320278134953083249372239, 1496880, 18720979200, 181062604800, 20425781580706685949950381698514209996800000000, 620499492675411148800000, 1060180981351218469783798427229880320000000000, 20397882107781880727598747106900065988243286410, 1318504079430840767966640, 131760, 42365204008121479953778053151554168422400000000, 106244322646878331906717396896397336375458019863, 375219415521999449737684563488525434058114538808, 526261989644601122466648686592000000, 1207515633527373787860181183365120000000, 17637988913211644444021332377600000000, 599683400210541733173907575275520000000, 53952034933325168640000, 349232083200, 19228043907072000, 26830174325830819724132352000000, 35672339611031648284311552000000, 609776689223427721003008000000, 41040, 12972960000, 21777738900836704321536000000, 1046045234933202223520014448200148582400000000, 56, 295241021878258318770436335206400000000, 711374856192000, 27527506182452690092631959163161804800000000, 20398254986798844908973218829095896350720000012, 41332923412241032335940728417288925729801423940, 2248001455555215360000, 1596967647676329478715827461682306744320000099, 25903358105928855642720, 20934668469130129512795321341005274289430765920, 42364832631836538661077607938815624269554521581, 1941149256871928463360000, 10080], 'label': '12383472844800000000.a.36._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982052
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [18720979200, 25903358105928855642720, 1046045234933202223520014448200148582400000000, 958003200, 20425781580706685949950381698514209996800000000, 62790614507784246162621519795010475942078536410, 21777738900836704321536000000, 167452104637160049598903968347637310946673738122, 606014221700658888680127953244291849664426579965, 620499492675411148800000, 53952034933325168640000, 26830174325830819724132352000000, 526261989644601122466648686592000000, 25903107681056686080000, 17637988913211644444021332377600000000, 1596967647676329478715827461682306744320000099, 794457585182646338178430896309900391959643847727, 4, 131760, 56, 27527506182452690092631959163161804800000000, 20398254986798844908973218829095896350720000012, 20397882107781880727598747106900065988243286410, 19228043907072000, 1060180981351218469783798427229880320000000000, 35672339611031648284311552000000, 1496880, 42365204008121479953778053151554168422400000000, 609776689223427721003008000000, 1207515633527373787860181183365120000000, 711374856192000, 1941149256871928463360000, 41040, 41332923412241032335940728417288925729801423940, 10080, 1318504079430840767966640, 295241021878258318770436335206400000000, 20934668469130129512795321341005274289430765920, 2248001455555215360000, 181062604800, 349232083200, 12972960000, 599683400210541733173907575275520000000], 'label': '12383472844800000000.a.36._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982053
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [8691540457466064418335919964160000000, 181063739606, 628574551430774880019742556505494806267250024962, 384519051282723921, 77607147582130359926899, 1496939, 958003278, 8691567298932551160700601892864000000, 16, 1175098093264533766340, 81605664375395286855893868660785323099514192650, 267763391361, 14136059025709044971064761442486583296000000, 61221546064647482241269496793591376638581098160, 82128314695347600891367450163293244620800000000, 19679023440, 315777214062132212662272000000, 1888372313985163350325779, 4, 1569440462250393852262095518722583691782918467, 13516122786698167, 753661448757741832156110181851822270337789183875, 56, 20935040766364830906409162142262581772375128435, 61716669477582740644804160569358325252096000000, 41047, 526261673867387060334436024320000000, 19939432175349840, 229762525610187084635253768214166834952649688473, 519649923, 711556437805940, 270544163759891396317889029028880578806697635821, 14135746944277920131171039364167761920000000, 27899803425359881283039518846343646217949373, 61207409996683556420967161199290984348175922572, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 5864, 6266978663], 'label': '12383472844800000000.a.6._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982054
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [18720979200, 25903358105928855642720, 1046045234933202223520014448200148582400000000, 958003200, 20425781580706685949950381698514209996800000000, 62790614507784246162621519795010475942078536410, 21777738900836704321536000000, 620499492675411148800000, 53952034933325168640000, 26830174325830819724132352000000, 526261989644601122466648686592000000, 25903107681056686080000, 17637988913211644444021332377600000000, 1596967647676329478715827461682306744320000099, 4, 131760, 56, 27527506182452690092631959163161804800000000, 20398254986798844908973218829095896350720000012, 20397882107781880727598747106900065988243286410, 19228043907072000, 1060180981351218469783798427229880320000000000, 106244322646878331906717396896397336375458019863, 35672339611031648284311552000000, 1496880, 375219415521999449737684563488525434058114538808, 42365204008121479953778053151554168422400000000, 609776689223427721003008000000, 1207515633527373787860181183365120000000, 711374856192000, 1941149256871928463360000, 41040, 41332923412241032335940728417288925729801423940, 793920798812614763259729250317295675502131573849, 10080, 1318504079430840767966640, 295241021878258318770436335206400000000, 20934668469130129512795321341005274289430765920, 181062604800, 2248001455555215360000, 349232083200, 12972960000, 599683400210541733173907575275520000000], 'label': '12383472844800000000.a.36._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982055
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [18720979200, 25903358105928855642720, 1046045234933202223520014448200148582400000000, 958003200, 20425781580706685949950381698514209996800000000, 62790614507784246162621519795010475942078536410, 21777738900836704321536000000, 167452104637160049598903968347637310946673738122, 620499492675411148800000, 53952034933325168640000, 26830174325830819724132352000000, 526261989644601122466648686592000000, 25903107681056686080000, 17637988913211644444021332377600000000, 1596967647676329478715827461682306744320000099, 4, 710179843490762983181440886592154693373894974179, 131760, 56, 27527506182452690092631959163161804800000000, 20398254986798844908973218829095896350720000012, 20397882107781880727598747106900065988243286410, 19228043907072000, 1060180981351218469783798427229880320000000000, 35672339611031648284311552000000, 1496880, 42365204008121479953778053151554168422400000000, 609776689223427721003008000000, 1207515633527373787860181183365120000000, 711374856192000, 1941149256871928463360000, 41040, 41332923412241032335940728417288925729801423940, 793920798812614763259729250317295675502131573849, 10080, 1318504079430840767966640, 295241021878258318770436335206400000000, 20934668469130129512795321341005274289430765920, 2248001455555215360000, 181062604800, 349232083200, 12972960000, 599683400210541733173907575275520000000], 'label': '12383472844800000000.a.36._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982056
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': '40.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': '40T315722', 'count': 40, 'diagramx': None, 'generators': [174356582400, 125101036661997825864045997658041373266436513983, 83188133989935293235560389094171189509798592135, 7, 646300418472124416000000, 17366635237623772991036388802560000000, 1889445223394158510080000, 35672339611031648284311552000000, 41346686279370730420350670662517181644800000000, 87657292800, 13181357629440000, 1134720, 122377398054912000, 45, 523394610793391012977475223548225126400000000, 616523773774298119104609528053760000000, 814855465760263461381061684321943455401892404376, 806400, 274467916800, 8842165285200828560179200000000], 'label': '12383472844800000000.a.40.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '40.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '40.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982057
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [61744196376187832965073571233459667610789160887, 376622672076740, 41346686592233304692456019366695404070967847011, 14136067972130670546848999363604743102562584, 81591900639933827184293510003608622366195686393, 550923002682463682314498253620079846963394487, 1582831605491030595394688851264806663812870425, 42378595768149073781604986934367066595315162231, 62763086401918385051778940446991716333067222330, 27527506453806681457797329909513100070051219, 631554428124264425325502003200, 19678982420, 4, 14135746418016246263809882144170867874036328, 41842181694842349807980956910182289662223266633, 1046045235459464202680358333820893363807388132, 11292160911544957796352000004, 305291636072840466143354947684, 1073945342809171790843810501575140748772111322, 62267590978561037185687275501897440593443681202, 621068850134972678799360000004, 936846115901139080606960431488, 631554428124264425343704064004, 305291636072853647508129525852, 915068325296268187140096000004, 27899803425359881283039518846343646217949373, 305291637247932847480421386099, 936846064197104891461632051127, 1046045234933202855074469548494845578514647066, 925553905533580952035307703700, 526262599421292593902248560032035863, 1073572741641917502548436371127031809474207911], 'label': '12383472844800000000.a.48._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982059
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [45360, 20935040758216015788532333864985102809822010973, 14136067972130670546848999363604743102562584, 711387310359611, 81591900639933827184293510003608622366195686393, 1073573922318214515338210886468435093837932253, 19160069760, 315777266941277299819984656491, 26313084608437731192122270766397241523, 62763086401918385051778940446991716333067222330, 304187506332607596728045572368182102899, 82665102264203260375768537873237109534144469143, 2248014260303145856091, 41842181694842349807980956910182289662223266633, 27527827736558273012542265027354356611957840, 1073945342809171790843810501575140748772111322, 526262305421841087725770449976115771, 41346314894402462666675562523049880264488744256, 518959460, 13181370602521684, 1582831605491030617174316022238905263376582964, 526261685161409368176247085555843771, 365291076313013772, 621068876038093875985019882172, 26313111144613176458037862530523482724, 10080, 8946448455745607001702879338557194256, 15, 13412135523, 14135764310913473534641061244553765924400659, 62239692364487069413130793508324577887394201624, 78680063749180907185220, 21777816507984997826233200480, 121680], 'label': '12383472844800000000.a.48._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982060
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [17892897227268376361518009166635139763, 27527523820442540150341775393860440432947296, 121700, 550551322218274240533999391679774791000106972, 1320752330600168281949328, 27527532240629322028534740732743357844352096, 27527532495536993238676447327655701292223380, 711374856192003, 21994478620710895553721737280898551624239414516, 795503258129019968839763678029538332035486310979, 4, 10084, 26830174327005912105457044311059, 41842181694842349807980956910182289662223266633, 518999040, 6758061133829780, 526261685159547971879393821630048580, 2248014636912844921700, 1175110898000449213448, 61730433499848573271916764848030079312250749500, 8691540479243803319173000895914064660, 11, 8691541394312155591464701398284026171, 27527514873993147558773985012289646345900970, 26313101388185501407677091396079696651, 165882665426147255080673884038133510676944559280, 11292163159566352770330624019, 17892897216782796124211290976940970088, 14136067700769057371911857844616516870400019, 26313119365708964048389648336616320091, 62239692364487069413130793508324577887394201624, 550922116975844639916198355955745930472952891, 17637988924503859307844890316863484743, 20921277308506395085475447098614992535157707604, 80652], 'label': '12383472844800000000.a.48._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982061
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 4, 'diagramx': None, 'generators': [51704296330779835919292, 26584473041299368999379959044446310486, 19562820999408007, 1060180981351218469783850131263734719850287511, 17366635237623850598178259016509599386, 41332550532952714185379127450188538214899389495, 894653068413212180491358966906880000000, 17366653248217137692362214385184000092, 7, 376628938963208, 1060180981351218491561537328086147451039293300, 1189622736615882627808811069932775306176, 795503258129019968839763678029538332035486310979, 4, 9217828961507831261774726955769131600, 550922116975843724847848331563062930219134019, 41842181694842349807980956910182289662223266633, 35672339612207124808070523436848, 10083, 6267018240, 523395201793473626491589536017298139465071531, 526261673867387060334812635057028416, 21777738900856643759978252179, 23, 81605664097792227049782214088399387017755693406, 21981085706599700309141338836977002847613341347, 14135746689369943629394332870942462400272492, 78680063749186655204400, 2248001832171700368023, 165882665426147255080673884038133510676944559280, 518924179, 62239692364487069413130793508324577887394201624, 6706028167, 327071316122934753769168866566, 21471455118080399834981735628900028961143362493], 'label': '12383472844800000000.a.48._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982062
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [27527515128901157130399872411375294100326468, 7224950896, 61193647442153319455249708733832026695292956204, 21471828023147325703253875816985065113120171715, 1569439871784795479055659363294687514805516083, 62240064358085212695937900943786217155058549214, 295767310709369432538394574928557259638, 251206081245582151754765904661979753812356757680, 27527506182452995384268032016432696005484164, 11292162086636627752375233123, 1073572741115654924904809566929663163798005865, 41842181694842349807980956910182289662223266633, 5771, 53952034933331435699288, 1060180990042759558804317945860497018699902007, 894381715358693213125388393523769533375, 3, 79855143325775871027128, 35694119212402069388662628105520, 17366635248915936150589560215780183060, 2248001455574375429771, 17892897532560061890383404699395040083, 958013284, 165896800815446264136872574453943192021476573520, 526261685159626651936761568426205291, 1207515642369539720536520262328901730500, 79855149372443507468171, 550923011357576439995617762641095101824578659, 61221545752048057405094740756571269166969358071, 20, 26058175695089837409373020142534246327, 52879125147719270405763, 82665101656905520391855979967962233436662276426], 'label': '12383472844800000000.a.48._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982063
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [5767, 26313083693369379992746402550455172437, 17999301281396697964175265878455, 19228043907152659, 26976030982784852009040, 40795764188708006692768155652871822364820181846, 16, 894653068413212180491358966906880000000, 1073572741115654924904859022948880992730407606, 19160074087, 61194019131835320141951731020541055683385568153, 26830174947403599946394856195848, 62763086401918385051778940446991716333067222330, 1569440140967615746311531466500853614515167555, 1582831614437496124887569380939956076793452899, 4, 536786387924489535897280941534675826458346834, 82128314712985589804579148559349510324526764899, 20425782171172284356239637735221327127590315551, 77607147916888292112500, 915068402903416104040323276802, 17892923437180512586753043152785597471, 26536174850669531350463487180814, 20425782770584357699579159170891819094356213956, 11, 230285185672295302563937555359964285152117834155, 17366670931741148826642574615559863064, 51127, 271371686181311513213605251255922679, 165882665426147255080673884038133510676944559280, 21777740075948313703028554819, 1059809882669309825952006059012242662049468087, 8691558446282388223053640076508383310, 711394535225523, 27527506453824364981731929714498539340149725, 518924172, 17637988913211645619120136998787891783, 2248001455561482342979], 'label': '12383472844800000000.a.48._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982064
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [14135755109556703729902349413389787313061779, 1060180981877480775205691218989128558570541363, 315777242213260912089424828823, 295495929876537911984946925914494668803, 8691540479243855023206813443917603207, 26058175695089915016514178974482580328, 1582831623383927506888304793127748882315094983, 51704034189157782432007, 4, 21777741148845294566824883156, 82651709610591610780589990253217189388632834588, 376628938968968, 1046045252826135133615467027866987764234398016, 18721105208, 2248001455568627445863, 79855155419148945280091, 62763086992655318796395330494087471415786766094, 1046045261517639897768928942788716307506967607, 526261673867465740404943272108993139, 27527514873993474628073599421709551989943055, 10091, 17637988913211696148055186776931379135, 61730433230937062765030314161845488891735409387, 1189622736615882706488874819093564207452, 894653068413212182739360422463053494963, 270544163759891396317889029028880578806697635821, 27527506182453626939964029101791429774458228, 62762714113630123239483372378068348225444155056, 12, 519004815, 165882665426147255080673884038133510676944559280, 27899803425359881283039518846343646217949373, 77607141535437376268168, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624, 17892897837045065584945018807759897688, 86407, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.6._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982065
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [27528417939061502609517109738308323029045695, 13516141946671463, 7134684324773775, 45363, 19, 621068901839006533191985350971, 26058175695089838584477160073666691771, 536786370829208278345812157137455368556504504, 41346686279897027777045160917152720056509321619, 958003215, 83174359939498606161291129758745544884906799473, 8691540457466142025496306854385414416, 14135755109557324798699707443181808585932739, 271353675587872628076613537330080020, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 7224940808, 27527506453807291234485377778211540285741932, 523394628686287946246454030911884791392535616, 251206081245582151754765904661979753812356757680, 4, 81605293276450211376926216105862834032471166099, 26058175695089890288498167861804681603, 41842181694842349807980956910182289662223266633, 1582831605762383367207663792359882172808236740, 8, 21981085689233074523462074942928975916743222944, 40823664573660703059339660864308432142211982671, 526262294936239443308946990072118383, 5775, 41346686870362599635855132728683998047391011731, 165896800815446264136872574453943192021476573520, 1175110898011945257612, 376610736912480, 1046045252826100060565078960229335085011311928], 'label': '12383472844800000000.a.48._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982066
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [13516141946671463, 1073572758745457280773310801386542219218636331, 7134684324773775, 45363, 19, 621068901839006533191985350971, 26058175695089838584477160073666691771, 536786370829208278345812157137455368556504504, 41346686279897027777045160917152720056509321619, 958003215, 83174359939498606161291129758745544884906799473, 8691540457466142025496306854385414416, 14135755109557324798699707443181808585932739, 271353675587872628076613537330080020, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 7224940808, 27527506453807291234485377778211540285741932, 20948804215803071440872268822318341838795397085, 523394628686287946246454030911884791392535616, 251206081245582151754765904661979753812356757680, 4, 26058175695089890288498167861804681603, 41842181694842349807980956910182289662223266633, 1582831605762383367207663792359882172808236740, 8, 21981085689233074523462074942928975916743222944, 526262294936239443308946990072118383, 5775, 41346686870362599635855132728683998047391011731, 165896800815446264136872574453943192021476573520, 1175110898011945257612, 376610736912480, 62239692364487069413130793508324577887394201624, 1046045252826100060565078960229335085011311928], 'label': '12383472844800000000.a.48._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982067
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [27528417939061502609517109738308323029045695, 13516141946671463, 7134684324773775, 45363, 19, 83160969368822429769697474614214970565001344829, 621068901839006533191985350971, 26058175695089838584477160073666691771, 536786370829208278345812157137455368556504504, 41346686279897027777045160917152720056509321619, 958003215, 83174359939498606161291129758745544884906799473, 8691540457466142025496306854385414416, 14135755109557324798699707443181808585932739, 271353675587872628076613537330080020, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 7224940808, 27527506453807291234485377778211540285741932, 523394628686287946246454030911884791392535616, 251206081245582151754765904661979753812356757680, 4, 41319159381291883015978641596913260693727278234, 26058175695089890288498167861804681603, 41842181694842349807980956910182289662223266633, 1582831605762383367207663792359882172808236740, 8, 21981085689233074523462074942928975916743222944, 526262294936239443308946990072118383, 5775, 41346686870362599635855132728683998047391011731, 165896800815446264136872574453943192021476573520, 1175110898011945257612, 376610736912480, 1046045252826100060565078960229335085011311928], 'label': '12383472844800000000.a.48._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982068
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [13516141946671463, 7134684324773775, 45363, 19, 621068901839006533191985350971, 26058175695089838584477160073666691771, 82651338511120266005552735993093994631095827399, 536786370829208278345812157137455368556504504, 41346686279897027777045160917152720056509321619, 958003215, 83174359939498606161291129758745544884906799473, 8691540457466142025496306854385414416, 14135755109557324798699707443181808585932739, 271353675587872628076613537330080020, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 7224940808, 27527506453807291234485377778211540285741932, 523394628686287946246454030911884791392535616, 251206081245582151754765904661979753812356757680, 4, 81605293276450211376926216105862834032471166099, 26058175695089890288498167861804681603, 41842181694842349807980956910182289662223266633, 1582831605762383367207663792359882172808236740, 8, 21981085689233074523462074942928975916743222944, 40823664573660703059339660864308432142211982671, 526262294936239443308946990072118383, 5775, 41346686870362599635855132728683998047391011731, 165896800815446264136872574453943192021476573520, 1175110898011945257612, 376610736912480, 1046045252826100060565078960229335085011311928], 'label': '12383472844800000000.a.48._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982069
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [13516141946671463, 1073572758745457280773310801386542219218636331, 7134684324773775, 45363, 19, 621068901839006533191985350971, 26058175695089838584477160073666691771, 82651338511120266005552735993093994631095827399, 536786370829208278345812157137455368556504504, 41346686279897027777045160917152720056509321619, 958003215, 83174359939498606161291129758745544884906799473, 8691540457466142025496306854385414416, 14135755109557324798699707443181808585932739, 271353675587872628076613537330080020, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 7224940808, 27527506453807291234485377778211540285741932, 523394628686287946246454030911884791392535616, 251206081245582151754765904661979753812356757680, 4, 26058175695089890288498167861804681603, 41842181694842349807980956910182289662223266633, 1582831605762383367207663792359882172808236740, 8, 21981085689233074523462074942928975916743222944, 526262294936239443308946990072118383, 5775, 21457691069221889937801913573112797230100974023, 41346686870362599635855132728683998047391011731, 165896800815446264136872574453943192021476573520, 1175110898011945257612, 376610736912480, 62239692364487069413130793508324577887394201624, 1046045252826100060565078960229335085011311928], 'label': '12383472844800000000.a.48._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982070
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [41052, 45360, 11292160911564520624057470023, 1060182179649067549348743861047174518858438361, 14135746418016867332711721150704054111363768, 83174359930280803441967792651375807809681210904, 61194019131835320141951731020541055683385568153, 519004804, 523394611064745015634774529348668243669903452, 1046045252299838082212637574696173477348702724, 41842181694842349807980956910182289662223266633, 14135746418016856040474377549834072006343520, 2248007878857977958979, 1596967369547062301531839606999852698825733252, 1582831631549205702485578186060359207323330648, 82665101074851912792036878739278357161250741780, 7224950880, 5760, 1596968246290787516167115849849508236396905041, 21966949942288787162681843688227887123839835006, 1582831606017292269262052256499398624165990968, 609776691471448404608397460328, 775091984905099865963579877863284159198605363111, 27527524075385578408533800052248407050526103, 13181376350429291, 41043, 271354002657248674663946199097395135, 14135755635819292665588905340641291175065543, 9217802142625613565326923165366516323, 305291663048870737553789930168, 26584455967549537245378841018368000030, 81605664982956166181763508793582107394746119187, 376617442934892], 'label': '12383472844800000000.a.48._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982071
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [27527524075350516652144282820351809735440499, 6758061133904656, 519004803, 13412054892, 19, 526261673867388235439287337972582408, 51704046659140555801699, 27527515400255452980537465225186989323507220, 711374856318012, 2248008590239540169059, 61194019131835320141951731020541055683385568153, 17366635248915987854635842733144960083, 40809901098961902178848267861663711041772001924, 1046045261517639614255031770778907649083644260, 1596968264183658207260096452081196054740786619, 41842181694842349807980956910182289662223266633, 86416, 550923323965215861868145230855226589127894328, 3, 1569439854673042607311472601092845605968716087, 1569068738098235821141039622750457015783360791, 12454167615, 1046046129586271257801124929687213430361065133, 8691541383020047559045602701806597760, 61207409996683574725562532311320076696640117227, 20398254665261221013258219019884487921826643767, 733786962468268975947488224486198412893288581748, 78680057702499938487607, 21777791779968986725131299767, 12, 27899803425359881283039518846343646217949373, 14135764056005475252696437462211685539850080, 19562827266380900, 230822344618225313230879800133871746552725556445, 773550442107462560921605156210281985150001306845, 616523774079590427381462727786040181198], 'label': '12383472844800000000.a.48._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982072
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [61194019122625749386546965716234261065550676357, 12973046415, 711374856272644, 83160969368822429769697474614214970565001344829, 19, 18315078469555722830564650105696, 81605664982956158254665928491230765508585195600, 1060180990569038894418574084255524613880953788, 1189622763457349736123955262555530617638, 8946449065522269249119557081335853928, 81605664071479143356413481571189112895715374212, 27527506182461542743523300411833446166537623, 25903107681057644854320, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 1175105186420816931851, 523394619739857457538732753526127446958090170, 126003, 1060181007935673838042302045626710540973168660, 3, 250697203204669722607462633266565322220790699325, 19939774182461287, 11292163159565976422126556243, 52879138329089872800000, 20398254665261221013258219019884487921826643767, 733786962468268975947488224486198412893288581748, 5780, 19562808545366408, 526288525819454039992696662801408004, 62239692364487069413130793508324577887394201624, 915068351199376579571638403775, 773550442107462560921605156210281985150001306845, 61194018245865587041964265803419789196821626739], 'label': '12383472844800000000.a.48._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982073
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17892896911491238731434950617047765764, 2248014971697163210088, 6706799288, 1175098804621187978179, 82114922935854518438903740577895833851450712446, 62790242792323602706123791844660171407572833271, 90732, 82142451622959961816510579576637455566587345354, 26313083693369353016722177838672474180, 271353675587872628096552943640073520, 519040103, 86419, 17366635847400462214476914572658886960, 17892897837045090312967787982968663060, 26584446842676937794806864979547898180, 4, 21777792852884819017308623288, 82114923552370078826088227191542329071240006320, 126000, 41319159364180164945062461414009824608256000078, 19228044425996163, 61730804608003210044658115831393385755563304895, 8946449381299535015291628695757479539, 20411647032586528561457576377801862416492732083, 1582831614437478136071917677817264806371993681, 82128314721405777501525691549119867473054520983, 81619056734571778981728422136875592243012295038, 711375814326968, 42378968360887910218191181682712847740297937312, 27527532240646384483697886473912961871971132, 10080, 27899803425359881283039518846343646217949373, 165882665426147255080673884038133510676944559280, 62790242809690219944446364418045588466160422400, 1175104474697688152407, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624], 'label': '12383472844800000000.a.48._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982088
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1060182171500217086603190518060435586473685162, 251743249325835823818769435908417964517058851195, 13412044812, 27527506453806365680582092212565935164172179, 61744196367241384498842387417076889368836375611, 711375814275840, 21457692259370879690676394313977279914368778251, 271353675587950133035888027256623447, 523394636851575572010414341976670893123992508, 20412019017230009065362937236498484335291197324, 1060180981877480165428924388401397276074074728, 4, 7134671870732183, 550922117502132207111899929494742151578115860, 21994478334161414132929458200416834185425044343, 13516123225741927, 1175091669949317568572, 126003, 936847979545935352180855903976, 5760, 6706063444, 62762714990373875600070241392740102423353445779, 21777791779968275356462211775, 80640, 62267591872679656747426529250304663451868119781, 523394619739874847063191119605976506013043096, 1596968246290760685992169570142202592445296499, 41332551722575450811747306272278888536421261379, 52879144710528773724256, 165882665426147255080673884038133510676944559280, 518999043, 599412046534953941576078051109963331736, 82651338511638313366335937336608820970211281366, 20934668469130129512795321341005274289430765920, 61194019444434762672942067827911661139287990986], 'label': '12383472844800000000.a.48._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982074
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17892896911491238731434950617047765764, 2248014971697163210088, 6706799288, 1175098804621187978179, 82114922935854518438903740577895833851450712446, 62790242792323602706123791844660171407572833271, 90732, 26313083693369353016722177838672474180, 271353675587872628096552943640073520, 519040103, 86419, 17366635847400462214476914572658886960, 17892897837045090312967787982968663060, 41869709218383214276382079997433676906322179939, 26584446842676937794806864979547898180, 4, 21777792852884819017308623288, 82114923552370078826088227191542329071240006320, 126000, 41319159364180164945062461414009824608256000078, 19228044425996163, 62762714990373875600070241392740102423353445779, 61730804608003210044658115831393385755563304895, 8946449381299535015291628695757479539, 20411647032586528561457576377801862416492732083, 1582831614437478136071917677817264806371993681, 82128314721405777501525691549119867473054520983, 81619056734571778981728422136875592243012295038, 711375814326968, 42378968360887910218191181682712847740297937312, 27527532240646384483697886473912961871971132, 10080, 165882665426147255080673884038133510676944559280, 62790242809690219944446364418045588466160422400, 1175104474697688152407, 20934668469130129512795321341005274289430765920, 42392731523513512252731084689705973743081206426], 'label': '12383472844800000000.a.48._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982075
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [8691540457466064418335919964160000000, 181063739606, 384519051282723921, 77607147582130359926899, 1496939, 270571691266065634684421482440190428011759948767, 958003278, 8691567298932551160700601892864000000, 16, 1175098093264533766340, 267763391361, 14136059025709044971064761442486583296000000, 61221546064647482241269496793591376638581098160, 710717000986324096580881065615998948605780675209, 82128314695347600891367450163293244620800000000, 19679023440, 315777214062132212662272000000, 1888372313985163350325779, 4, 1569440462250393852262095518722583691782918467, 13516122786698167, 56, 61716669477582740644804160569358325252096000000, 41047, 526261673867387060334436024320000000, 19939432175349840, 519649923, 711556437805940, 14135746944277920131171039364167761920000000, 27899803425359881283039518846343646217949373, 61221173749783015361096597974138560460818998918, 146517437124560929330502533116814263754820998393, 61207409996683556420967161199290984348175922572, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 5864, 105212041460532285295004817730106955105524636047, 6266978663], 'label': '12383472844800000000.a.6._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982076
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17892896911491238731434950617047765764, 2248014971697163210088, 6706799288, 1175098804621187978179, 82114922935854518438903740577895833851450712446, 21967322543965876340118946422670176732826837788, 62790242792323602706123791844660171407572833271, 90732, 26313083693369353016722177838672474180, 271353675587872628096552943640073520, 519040103, 86419, 17366635847400462214476914572658886960, 17892897837045090312967787982968663060, 26584446842676937794806864979547898180, 4, 21777792852884819017308623288, 82114923552370078826088227191542329071240006320, 126000, 41319159364180164945062461414009824608256000078, 19228044425996163, 61730804608003210044658115831393385755563304895, 8946449381299535015291628695757479539, 20411647032586528561457576377801862416492732083, 1582831614437478136071917677817264806371993681, 82128314721405777501525691549119867473054520983, 81619056734571778981728422136875592243012295038, 711375814326968, 61716669182604823393970796272384176496005639029, 42378968360887910218191181682712847740297937312, 27527532240646384483697886473912961871971132, 10080, 165882665426147255080673884038133510676944559280, 62790242809690219944446364418045588466160422400, 1175104474697688152407, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624], 'label': '12383472844800000000.a.48._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982077
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [17892896911491238731434950617047765764, 2248014971697163210088, 6706799288, 1175098804621187978179, 82114922935854518438903740577895833851450712446, 62790242792323602706123791844660171407572833271, 90732, 82142451622959961816510579576637455566587345354, 26313083693369353016722177838672474180, 271353675587872628096552943640073520, 519040103, 86419, 17366635847400462214476914572658886960, 17892897837045090312967787982968663060, 26584446842676937794806864979547898180, 4, 21777792852884819017308623288, 82114923552370078826088227191542329071240006320, 126000, 41319159364180164945062461414009824608256000078, 19228044425996163, 61730804608003210044658115831393385755563304895, 8946449381299535015291628695757479539, 20411647032586528561457576377801862416492732083, 1582831614437478136071917677817264806371993681, 82128314721405777501525691549119867473054520983, 81619056734571778981728422136875592243012295038, 711375814326968, 42378968360887910218191181682712847740297937312, 27527532240646384483697886473912961871971132, 10080, 27899803425359881283039518846343646217949373, 165882665426147255080673884038133510676944559280, 62790242809690219944446364418045588466160422400, 1175104474697688152407, 20934668469130129512795321341005274289430765920, 42392731523513512252731084689705973743081206426], 'label': '12383472844800000000.a.48._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982078
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [42365204312563876884655072932040948126865077075, 121683, 12973081691, 26313083704661592608324126760545325380, 11292213790682910270258887540, 536786387924462705722334713404872175590617529, 62790242792323602706123791844660171407572833271, 1046045243624742996763370535822244782882857055, 8691541089020493717699149916597909859, 958003220, 1569439871784769247364569294375547872919181923, 7225021444, 1582832213594652039795507797867535047752844176, 78680070883864273955767, 536786388450742073599236611316983656089911095, 41842181694842349807980956910182289662223266633, 26976037029651753120093, 21994849754652372333983026646124651777459129715, 5783, 1046045244151004681922843148555888746483482172, 292015991174671968192781701084693806287768474257, 1046045243879650701045246475052596707193226194, 3, 376629897011775, 814855467576698105834651906221535805491519683808, 17366635542915487743934934044495501932, 41332552071784553956573399567401289561039955919, 6758061652752495, 21981085697381924713982739203159065006992828836, 21967322830260440321574695328351070599851938652, 271353675587871452985320198230949775, 14135755635819303151138743272826145038480015, 27899803425359881283039518846343646217949373, 621068903014098537912646742407, 62239692364487069413130793508324577887394201624, 20, 81591528620285730762343429904045992669017248009], 'label': '12383472844800000000.a.48._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982079
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [42365204312563876884655072932040948126865077075, 121683, 12973081691, 26313083704661592608324126760545325380, 11292213790682910270258887540, 536786387924462705722334713404872175590617529, 62790242792323602706123791844660171407572833271, 1046045243624742996763370535822244782882857055, 8691541089020493717699149916597909859, 958003220, 1569439871784769247364569294375547872919181923, 7225021444, 1582832213594652039795507797867535047752844176, 78680070883864273955767, 536786388450742073599236611316983656089911095, 41842181694842349807980956910182289662223266633, 26976037029651753120093, 21994849754652372333983026646124651777459129715, 5783, 1046045244151004681922843148555888746483482172, 292015991174671968192781701084693806287768474257, 1046045243879650701045246475052596707193226194, 3, 376629897011775, 62762714990373875600070241392740102423353445779, 814855467576698105834651906221535805491519683808, 17366635542915487743934934044495501932, 41332552071784553956573399567401289561039955919, 6758061652752495, 21981085697381924713982739203159065006992828836, 21967322830260440321574695328351070599851938652, 271353675587871452985320198230949775, 14135755635819303151138743272826145038480015, 621068903014098537912646742407, 82651338511638313366335937336608820970211281366, 20, 81591528620285730762343429904045992669017248009], 'label': '12383472844800000000.a.48._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982080
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [42365204312563876884655072932040948126865077075, 121683, 12973081691, 26313083704661592608324126760545325380, 20412017845253483885166245595547725453304086599, 11292213790682910270258887540, 536786387924462705722334713404872175590617529, 62790242792323602706123791844660171407572833271, 1046045243624742996763370535822244782882857055, 8691541089020493717699149916597909859, 958003220, 1569439871784769247364569294375547872919181923, 7225021444, 1582832213594652039795507797867535047752844176, 78680070883864273955767, 536786388450742073599236611316983656089911095, 41842181694842349807980956910182289662223266633, 26976037029651753120093, 21994849754652372333983026646124651777459129715, 5783, 1046045244151004681922843148555888746483482172, 292015991174671968192781701084693806287768474257, 1046045243879650701045246475052596707193226194, 3, 376629897011775, 814855467576698105834651906221535805491519683808, 17366635542915487743934934044495501932, 41332552071784553956573399567401289561039955919, 6758061652752495, 21981085697381924713982739203159065006992828836, 21967322830260440321574695328351070599851938652, 271353675587871452985320198230949775, 14135755635819303151138743272826145038480015, 621068903014098537912646742407, 62239692364487069413130793508324577887394201624, 20, 81591528620285730762343429904045992669017248009], 'label': '12383472844800000000.a.48._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982081
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [42365204312563876884655072932040948126865077075, 121683, 12973081691, 26313083704661592608324126760545325380, 11292213790682910270258887540, 536786387924462705722334713404872175590617529, 62790242792323602706123791844660171407572833271, 1046045243624742996763370535822244782882857055, 8691541089020493717699149916597909859, 958003220, 1569439871784769247364569294375547872919181923, 7225021444, 1582832213594652039795507797867535047752844176, 78680070883864273955767, 536786388450742073599236611316983656089911095, 41842181694842349807980956910182289662223266633, 26976037029651753120093, 21994849754652372333983026646124651777459129715, 5783, 1046045244151004681922843148555888746483482172, 292015991174671968192781701084693806287768474257, 1046045243879650701045246475052596707193226194, 3, 376629897011775, 814855467576698105834651906221535805491519683808, 17366635542915487743934934044495501932, 41332552071784553956573399567401289561039955919, 6758061652752495, 21981085697381924713982739203159065006992828836, 21967322830260440321574695328351070599851938652, 271353675587871452985320198230949775, 14135755635819303151138743272826145038480015, 27899803425359881283039518846343646217949373, 621068903014098537912646742407, 82651338511638313366335937336608820970211281366, 20, 81591528620285730762343429904045992669017248009], 'label': '12383472844800000000.a.48._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982082
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [915068325296281368691761091204, 41056, 13412095940, 711394535225527, 526261673867387060334436024320080652, 21994477448471266682945538236599747202483342027, 9451941975599348662874254540837, 8691541078534914553321403511450374460, 5763, 7224986167, 9767719216637984211207248983038, 271353675587871452984943575040000000, 536786370557863139631538128101081372172288055, 51704046282517364781438, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 42365205215365769279283708787437676191698661626, 3, 26058175695089837409372685377896038324, 17637988913211644444040895199118361692, 41319158781879818187724104296782321303648019325, 62790613604456047613093712116245588374380544032, 23, 1582832196482890054470936397953271563151348675, 536786370557863139631592079784239918172685923, 82114922944274705830558572135070639879683158430, 8691540457466066666356938347599628231, 12, 27899803425359881283039518846343646217949373, 1569439845726603004218617059398707504198291088, 733277703291557262689208956367112934348431608387, 82114551237760545860107993882115032084215176880, 27527506182453615646537492743779082614522172, 8691540457466066666350180280198860803, 518928499, 11292160911545669358018906827, 62239692364487069413130793508324577887394201624, 17637988913211644444022043753414316899, 773550442107462560921605156210281985150001306845, 290956181300422889967296358926285503149021907192, 12804754636402579], 'label': '12383472844800000000.a.48._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982083
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [915068325296281368691761091204, 41056, 13412095940, 711394535225527, 526261673867387060334436024320080652, 21994477448471266682945538236599747202483342027, 9451941975599348662874254540837, 8691541078534914553321403511450374460, 5763, 7224986167, 9767719216637984211207248983038, 271353675587871452984943575040000000, 536786370557863139631538128101081372172288055, 51704046282517364781438, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 42365205215365769279283708787437676191698661626, 3, 26058175695089837409372685377896038324, 17637988913211644444040895199118361692, 41319158781879818187724104296782321303648019325, 62790613604456047613093712116245588374380544032, 62762714990373875600070241392740102423353445779, 23, 1582832196482890054470936397953271563151348675, 536786370557863139631592079784239918172685923, 82114922944274705830558572135070639879683158430, 8691540457466066666356938347599628231, 12, 733277703291557262689208956367112934348431608387, 1569439845726603004218617059398707504198291088, 82114551237760545860107993882115032084215176880, 27527506182453615646537492743779082614522172, 8691540457466066666350180280198860803, 518928499, 11292160911545669358018906827, 82651338511638313366335937336608820970211281366, 17637988913211644444022043753414316899, 290956181300422889967296358926285503149021907192, 773550442107462560921605156210281985150001306845, 12804754636402579], 'label': '12383472844800000000.a.48._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982084
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [915068325296281368691761091204, 41056, 20412017845253483885166245595547725453304086599, 13412095940, 711394535225527, 526261673867387060334436024320080652, 21994477448471266682945538236599747202483342027, 9451941975599348662874254540837, 8691541078534914553321403511450374460, 5763, 7224986167, 9767719216637984211207248983038, 271353675587871452984943575040000000, 536786370557863139631538128101081372172288055, 51704046282517364781438, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 42365205215365769279283708787437676191698661626, 3, 26058175695089837409372685377896038324, 17637988913211644444040895199118361692, 41319158781879818187724104296782321303648019325, 62790613604456047613093712116245588374380544032, 23, 1582832196482890054470936397953271563151348675, 536786370557863139631592079784239918172685923, 82114922944274705830558572135070639879683158430, 8691540457466066666356938347599628231, 12, 733277703291557262689208956367112934348431608387, 1569439845726603004218617059398707504198291088, 82114551237760545860107993882115032084215176880, 27527506182453615646537492743779082614522172, 8691540457466066666350180280198860803, 518928499, 11292160911545669358018906827, 62239692364487069413130793508324577887394201624, 17637988913211644444022043753414316899, 773550442107462560921605156210281985150001306845, 290956181300422889967296358926285503149021907192, 12804754636402579], 'label': '12383472844800000000.a.48._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982085
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [915068325296281368691761091204, 41056, 13412095940, 711394535225527, 526261673867387060334436024320080652, 21994477448471266682945538236599747202483342027, 9451941975599348662874254540837, 8691541078534914553321403511450374460, 5763, 7224986167, 9767719216637984211207248983038, 271353675587871452984943575040000000, 536786370557863139631538128101081372172288055, 51704046282517364781438, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 42365205215365769279283708787437676191698661626, 3, 26058175695089837409372685377896038324, 17637988913211644444040895199118361692, 41319158781879818187724104296782321303648019325, 62790613604456047613093712116245588374380544032, 23, 1582832196482890054470936397953271563151348675, 536786370557863139631592079784239918172685923, 82114922944274705830558572135070639879683158430, 8691540457466066666356938347599628231, 12, 27899803425359881283039518846343646217949373, 1569439845726603004218617059398707504198291088, 733277703291557262689208956367112934348431608387, 82114551237760545860107993882115032084215176880, 27527506182453615646537492743779082614522172, 8691540457466066666350180280198860803, 518928499, 11292160911545669358018906827, 82651338511638313366335937336608820970211281366, 17637988913211644444022043753414316899, 290956181300422889967296358926285503149021907192, 773550442107462560921605156210281985150001306845, 12804754636402579], 'label': '12383472844800000000.a.48._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982086
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1060181598129900242361433139188900823040000000, 8691540457466064418335919964160000000, 181063739606, 384519051282723921, 77607147582130359926899, 1496939, 21777738900836704321536000000, 958003278, 167452104637160049598903968347637310946673738122, 16, 1175098093264533766340, 26584437368957224469706744791040000000, 267763391361, 62763086401918385051778940446991716333067222330, 145994041279115466441704625209147264159731077743, 19679023440, 35682825189020940030836736000000, 315777214062132212662272000000, 1888372313985163350325779, 4, 41842181694842376638156497836879683298611592960, 14135773002453942290383422413646987264000000, 13516122786698167, 56, 292015982657704222357605669654568742190286648247, 41047, 1060181007935655838741022896936625111040000000, 526261673867387060334436024320000000, 19939432175349840, 61207409996683556420967161199290272972800000000, 689782333429205422270455743997543996085240674593, 519649923, 711556437805940, 754707494279742554918745620272661909332650210675, 61221173749783015361096597974138560460818998918, 20934668469130129512795321341005274289430765920, 5864, 81605664071207789680824910938641321164800000000, 6266978663], 'label': '12383472844800000000.a.6._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '6.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '6._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982087
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [518924176, 17637989828280021444323708681665657695, 251743249325835823818769435908417964517058851195, 14136067700804119129543344540093273718790456, 40795764162666249256811484937704912678765217936, 19160154735, 27900689650026906350279459829022729991768906, 17683524659683429824383538415311, 8946448782814954999362582872582959452, 20412019017230009065362937236498484335291197324, 4, 315777292742189580404717386811, 19228056361164727, 27527523820459592119899955557628449727854823, 271354612433937898110518636313395776, 19562827266269287, 1060180990042759232541525894443295986741283180, 2248014971678002048103, 62267591872679656747426529250304663451868119781, 631554507979535463984766915225, 376629897098171, 78680064460561072272003, 12, 80648, 27899803425359881283039518846343646217949373, 165882665426147255080673884038133510676944559280, 21777818755992834826616376971, 14135755364464702009366252729781071109791932, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 20, 536786397142265457318053404793984154545871479, 10100, 1569439845726593236497516647772975055190210682, 1060180981877481080497276660700190597070986251, 7225027200, 35682825241900077983303417982078], 'label': '12383472844800000000.a.48._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982089
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [19562827705344011, 251743249325835823818769435908417964517058851195, 26058175706382024224044175938652073620, 19, 20412017845253483885166245595547725453304086599, 8691540457466116122370109116194463943, 27900689650026906350279459829022729991768906, 27527515128901472907666813674782536795980895, 5764, 550922125667393916964442321061432944328378823, 16, 271353675587871452997748329157564803, 20412019017230009065362937236498484335291197324, 11292160911552092480676778099, 376610218035140, 28151474092835918600880, 3, 1046045261246286243958794142645779404286831423, 19939419282263040, 17366635248915933902587769902113689532, 61221546333567171051730889922435096570856906162, 1569440454085088858751360717718936486482089096, 51123, 1569439854418134630809645263220168268676499763, 62267591872679656747426529250304663451868119781, 621068851310083576880241616571, 165882665426147255080673884038133510676944559280, 1073573930993300464622717664926361918985368307, 2248002166936338499680, 14135746689370237628949349309065252531750259, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 26584437380249385381270930650978095444, 19160115131], 'label': '12383472844800000000.a.48._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982090
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [19160150412, 251743249325835823818769435908417964517058851195, 711387829232647, 26313084324923783389001198237706076819, 27900689650026906350279459829022729991768906, 52879125147720228489600, 61744196983765158577626825297105954890896372612, 16, 20412019017230009065362937236498484335291197324, 2248001455561921433540, 7, 45372, 83188495676970208730856498127480289516574592139, 958008983, 4, 1060180981351218796853199304033959885923184569, 41346686288062280340244339198928322178014247012, 27528687385003155652815679204764431573436329, 11292187887581652503362316179, 1569439863364583075263038576441249138481449612, 51704046282529818787695, 925553956164698597525539117923, 536786370557827762097985179873803969754084434, 1318503944625654750163259, 62776849868723233677903431740575947446535975580, 62267591872679656747426529250304663451868119781, 27527506182453626938698404289448246677571696, 25903120862421021552492, 10080, 41346686279370748115166898909095619941771140515, 27899803425359881283039518846343646217949373, 165882665426147255080673884038133510676944559280, 6266978655, 82651338511638313366335937336608820970211281366, 61716670041990127651389129514636167586793666708, 20934668469130129512795321341005274289430765920, 1046045252571192073577751240442643712110310484], 'label': '12383472844800000000.a.48._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982091
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [61194019122625749386546965716234261065550676357, 12973046415, 711374856272644, 83160969368822429769697474614214970565001344829, 19, 18315078469555722830564650105696, 81605664982956158254665928491230765508585195600, 1060180990569038894418574084255524613880953788, 82651338511120266005552735993093994631095827399, 1189622763457349736123955262555530617638, 8946449065522269249119557081335853928, 81605664071479143356413481571189112895715374212, 27527506182461542743523300411833446166537623, 62763086401918385051778940446991716333067222330, 25903107681057644854320, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 1175105186420816931851, 523394619739857457538732753526127446958090170, 126003, 1060181007935673838042302045626710540973168660, 3, 19939774182461287, 11292163159565976422126556243, 52879138329089872800000, 5780, 19562808545366408, 526288525819454039992696662801408004, 62239692364487069413130793508324577887394201624, 915068351199376579571638403775, 773550442107462560921605156210281985150001306845, 61194018245865587041964265803419789196821626739], 'label': '12383472844800000000.a.48._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982092
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [1582831605762383976983059239839426151358054343, 11292238518686116630216310900, 83160969368822429769697474614214970565001344829, 41332551740468348322530765575695203428995251287, 82651338511120266005552735993093994631095827399, 78680050944432537641052, 5764, 1596967352435307622237160692413006900999140473, 52879125859113286701360, 1582831606017291975262627726314066338110550441, 62763086401918385051778940446991716333067222330, 6706032495, 305294144842836914913596856979, 41319159381291883015978641596913260693727278234, 21777738900837415697350195200, 41842181694842349807980956910182289662223266633, 17637989828280590240153909220701162168, 131764, 894653069034281729806246603243579648572, 609776742102553245507372010815, 3, 711374856243123, 894653095864457866402117153266731372179, 523394923919087585145486343770332863203834729, 526261673867466915477761787737060403, 131771, 53952406271006806931780, 27527506182453005869872997313217759034413376, 327069400876784851521577143623, 165882665426147255080673884038133510676944559280, 141563596382208019, 518963772, 2248001832166391347211, 305292902872764418427290654099, 62239692364487069413130793508324577887394201624, 45364, 21966950541955741706398751932962516886573158997], 'label': '12383472844800000000.a.48._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982093
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704162236987317036720, 271353991365164195174858738208374962, 1175111232770835370099, 16, 11292160911564897215634227823, 17999303116889873955387521288895, 315777216310134379599049706163, 121696, 1569439846252881762316968439763462910726270016, 13181357629440015, 14135746944304772083289723075468960258867768, 4, 958129223, 1073572767428738618274213214768398831872519846, 41842181694842349807980956910182289662223266633, 20398254977852397063005026031297289873444406414, 21994849754652372333983026646124651777459129715, 165896800833084280489633157485262059740027212845, 26841466488990366137490625473165, 83160968188409272435202552973193896034107416965, 376617443005448, 11292163159566352770849552500, 10083, 794457583679600511354933101462177344327198787260, 20425781884622802608366410216755865703966518358, 41346314894402462666675562523049880264488744256, 11, 631554481003390284431124633699, 20398254665261221013258219019884487921826643767, 12804754636402563, 12972960007, 290955810167270813929422458013874042189654592564, 1060180981351245321735916038031019489033232484, 62239692364487069413130793508324577887394201624, 1582831606017327048311126348741464276949226248, 1582831614437478157850898650311861774240629870, 26830174378709964434834524746260], 'label': '12383472844800000000.a.48._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982094
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [51704162236987317036720, 271353991365164195174858738208374962, 1175111232770835370099, 16, 11292160911564897215634227823, 17999303116889873955387521288895, 315777216310134379599049706163, 62763086401918385051778940446991716333067222330, 121696, 1569439846252881762316968439763462910726270016, 13181357629440015, 14135746944304772083289723075468960258867768, 4, 958129223, 1073572767428738618274213214768398831872519846, 41842181694842349807980956910182289662223266633, 20398254977852397063005026031297289873444406414, 21994849754652372333983026646124651777459129715, 26841466488990366137490625473165, 83160968188409272435202552973193896034107416965, 376617443005448, 11292163159566352770849552500, 10083, 794457583679600511354933101462177344327198787260, 20425781884622802608366410216755865703966518358, 41346314894402462666675562523049880264488744256, 11, 631554481003390284431124633699, 12804754636402563, 12972960007, 1060180981351245321735916038031019489033232484, 62239692364487069413130793508324577887394201624, 1582831606017327048311126348741464276949226248, 1582831614437478157850898650311861774240629870, 41842182302929500269349312167509839729423593629, 26830174378709964434834524746260], 'label': '12383472844800000000.a.48._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982095
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [20398254665261221013258219019884487921826643767, 19679033531, 1073572767173830619994722335428870629844701291, 81605664982956166181763508793582107394746119187, 518928499, 13181364854471543, 1582831926773790429017079856245810837107698642, 21777817580900830298513705051, 526262305421842160629509369596688499, 894381723884274675541405494828420953535, 5763, 733800726204519828739263733699352638230350494046, 12972960003, 61730804625114963504400007574470829776895807405, 3, 165896800815446264136872574453943192021476573520, 62239692364487069413130793508324577887394201624, 1060180981622572776926149708531955307912278888, 631554430372285109011323850804, 20935040462974958237931924465845509793101772913, 523394628160026882155753946003379531178202762, 27899500043736555374257448347754085153380470, 61194019131835320141951731020541055683385568153, 52879125524690655676803, 711387310233600, 7, 52879132282397847148800, 41842181694842349807980956910182289662223266633, 26584446211122588350843056075534170754, 61207410891336625161250656741057639444899776667, 27527506453806365680530388179088520630118967, 621068928815030758271641686979], 'label': '12383472844800000000.a.48._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982096
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [21981085680015299222300387646315991960180318908, 1243145067775411850668080, 41841809397854359478611043042053381912358294979, 12804748369545608, 82651338511120266005552735993093994631095827399, 894653068413212180491358966906880000000, 41841809397328106624324645262558890062541191075, 17366635237623772991158766288272291200, 6706028168, 10087, 62763086401918385051778940446991716333067222330, 86419, 42365204008121488795943365328400906639998963771, 1569439871784795479055659363294687514805516083, 4, 1175098428023423955127, 41842181694842349807980956910182289662223266633, 61730804634061393655552778034963001171223807438, 82114922935583200751432693043106378832400148379, 711374856233044, 376629378138724, 523394923919087585145486343770332863203834729, 27527506182452701384794045806547631282048095, 1582831605491030595394665196171385896782184340, 609776691471442357922120544023, 518924163, 82128314695347600913145191312131404498070410168, 21777741148838536506648452408, 12, 27527506182452701384794045812594316602286727, 165882665426147255080673884038133510676944559280, 27899803425359881283039518846343646217949373, 81605664965589522417750421518552177640679980904, 61221545752048057405094740756571269166969358071, 20, 35682825214924413379773469089132, 1060180981351218775075435675168439703858739268], 'label': '12383472844800000000.a.48._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982097
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [27527506708714375252205834163418046493552495, 1073573045031771899098695025088760714130156820, 19, 1046045234933202844588866831193845758932810845, 90758, 86404, 19228056880032074, 523394619484932395998140932024076137735890664, 145484782692606254845417493072559426804082863344, 147054231073490885085114396402160758206653514777, 18721065674, 9217802741110142950112337307087827219, 62790242792323602706123791844660171407572833271, 16, 1596967360600613835301249212396268138796163865, 550922116975844324139034925196939204474858265, 6758079854809005, 82128314695347600891367450163293244620800010095, 1046045252826099156788966279897781681327846518, 958054328, 1046046146952905874357831575142815409710796824, 3, 12973040736, 1582831927308275867097027535586161491561001004, 20411647032586528561457576377801862416492732083, 1175111232758820493935, 20398254665261221013258219019884487921826643767, 376617443011238, 11292213790683286886663930160, 10080, 78680064125809327155120, 518924179, 167465877229062316147271583136128316384191533923, 20934668469130129512795321341005274289430765920, 20397882107781907884843070658891091470380563144, 609776715126535778676618208161, 526262294936315875371575398164236180], 'label': '12383472844800000000.a.8._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982098
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [90743, 19562814812308332, 376623630150492, 82114922935583165362608196527353786161786079284, 27527532495537004532775187211862820345397767, 53952048114689504143443, 1569439845997946923377549012302499823070329680, 61194019131835320141951731020541055683385568153, 26313084324923809292114925961949816891, 13412085844, 4, 41842181694842349807980956910182289662223266633, 1596967351909046253659550556624350684702960004, 1180931196768195115083127315303731819619, 550922117502106302491397528618561387372332183, 958129219, 61716668861585193188618883525976977523971339607, 271353686880085243668565232090163124, 794457583679600511354933101462177344327198787260, 61716668887117107819616755225390817996571989699, 5760, 27527506708714385737836600385957977209901371, 77607154340191493781863, 23, 518918403, 1596967352180399917955261098077141204616319332, 20398254665261221013258219019884487921826643767, 41332550550590739085902175107749783525809722743, 27899803425359881283039518846343646217949373, 11292163159559594716421862488, 290955810167270813929422458013874042189654592564, 83188495702756995067130654578786026529434606764, 18721059848, 2248001455568627526487, 105226176616221598845121021085799183468505279405], 'label': '12383472844800000000.a.48._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982099
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903479395516712278478, 1073573340527719447868331242224901470715961603, 19, 40795764162394904706096887284504286769066860228, 958008960, 62790242792323602706123791844660171407572833271, 78680051321049461616487, 126133317275508066408395982914168483719759741324, 82651709306140991904344925386847893057107706163, 20411647024437668004729396247675496256346896539, 21777765876854547601044326411, 2248021018370466668171, 1569439845726620077964002317239964750551193619, 27527506182452690092684838307537575202412819, 251206081245582151754765904661979753812356757680, 4, 14135746418051940381135086613525010077907263, 315777241038162484090988760960, 13181371041490575, 5760, 82651709905824410114187911806325067852085792619, 82142079360713439800194321947027255127748831280, 20948432204846515149308544475410508690532050560, 26830174377534866718037026969608, 1073572741115681765564790994163064611210966900, 51704053040579456563208, 12972965760, 711394535184480, 1175335671544669958407, 1596596270601968528862029705098476919945176962, 1073573340527719447867761373997105216931654492, 20934668469130129512795321341005274289430765920, 20411645834814958219022954490889333791169286455, 62790241619541257011256885121871721552850506984, 42378596072328294751668056684125401696687117367, 5776, 42365204329667389832713499332095128139405792720], 'label': '12383472844800000000.a.48._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982100
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [51704046659140036842244, 251743249325835823818769435908417964517058851195, 14135773002454530289335993019635627394398728, 45363, 915068377000320892972677417604, 1596968254982327951856709291126526147588002564, 958008963, 26058175716867578558230031452535649236, 11292162086650143868894861940, 14135763784652115442013245440059454696698216, 62776850459188849418857911383365164348542859611, 12973011124, 1046045547795767664751048494739436584874053680, 8946448467037794889278108301093075219, 6423302762553619, 1175098428017157047044, 27528392415334952981099313476190438080700304, 3, 1596968533366504673942451330030288645106024323, 6758061133914724, 5760, 243290200818037680, 82142079039175779905877434920210793849178565200, 1073573635768741021641052896831866162081938608, 20398254665261221013258219019884487921826643767, 1190149007131917238971229482509544344415, 165882665426147255080673884038133510676944559280, 27899803425359881283039518846343646217949373, 86403, 526261695645127136282373103718405760, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 26313083715147117820673321266092938164, 61194019444434762672942067827911661139287990986, 14135773002454246775436573007659927730000615, 20412018444402373069191351509151337865744985644, 711381562214403], 'label': '12383472844800000000.a.48._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982101
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [27528417939061502609517109738308323029045695, 13516141946671463, 7134684324773775, 45363, 19, 621068901839006533191985350971, 26058175695089838584477160073666691771, 536786370829208278345812157137455368556504504, 41346686279897027777045160917152720056509321619, 958003215, 83174359939498606161291129758745544884906799473, 8691540457466142025496306854385414416, 14135755109557324798699707443181808585932739, 271353675587872628076613537330080020, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 7224940808, 27527506453807291234485377778211540285741932, 523394628686287946246454030911884791392535616, 251206081245582151754765904661979753812356757680, 4, 41319159381291883015978641596913260693727278234, 26058175695089890288498167861804681603, 41842181694842349807980956910182289662223266633, 1582831605762383367207663792359882172808236740, 8, 21981085689233074523462074942928975916743222944, 40823664573660703059339660864308432142211982671, 526262294936239443308946990072118383, 5775, 41346686870362599635855132728683998047391011731, 165896800815446264136872574453943192021476573520, 1175110898011945257612, 376610736912480, 1046045252826100060565078960229335085011311928], 'label': '12383472844800000000.a.48._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982102
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [13516141946671463, 7134684324773775, 45363, 19, 621068901839006533191985350971, 26058175695089838584477160073666691771, 536786370829208278345812157137455368556504504, 41346686279897027777045160917152720056509321619, 958003215, 83174359939498606161291129758745544884906799473, 8691540457466142025496306854385414416, 14135755109557324798699707443181808585932739, 271353675587872628076613537330080020, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 7224940808, 27527506453807291234485377778211540285741932, 523394628686287946246454030911884791392535616, 251206081245582151754765904661979753812356757680, 4, 41319159381291883015978641596913260693727278234, 26058175695089890288498167861804681603, 41842181694842349807980956910182289662223266633, 1582831605762383367207663792359882172808236740, 8, 21981085689233074523462074942928975916743222944, 526262294936239443308946990072118383, 5775, 41346686870362599635855132728683998047391011731, 61221174045542101990491013908679440725576645770, 165896800815446264136872574453943192021476573520, 1175110898011945257612, 376610736912480, 62239692364487069413130793508324577887394201624, 1046045252826100060565078960229335085011311928], 'label': '12383472844800000000.a.48._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982103
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [27528417939061502609517109738308323029045695, 13516141946671463, 7134684324773775, 45363, 19, 83160969368822429769697474614214970565001344829, 621068901839006533191985350971, 26058175695089838584477160073666691771, 536786370829208278345812157137455368556504504, 41346686279897027777045160917152720056509321619, 958003215, 83174359939498606161291129758745544884906799473, 8691540457466142025496306854385414416, 14135755109557324798699707443181808585932739, 271353675587872628076613537330080020, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 7224940808, 27527506453807291234485377778211540285741932, 523394628686287946246454030911884791392535616, 251206081245582151754765904661979753812356757680, 4, 81605293276450211376926216105862834032471166099, 26058175695089890288498167861804681603, 41842181694842349807980956910182289662223266633, 1582831605762383367207663792359882172808236740, 8, 21981085689233074523462074942928975916743222944, 526262294936239443308946990072118383, 5775, 41346686870362599635855132728683998047391011731, 165896800815446264136872574453943192021476573520, 1175110898011945257612, 376610736912480, 1046045252826100060565078960229335085011311928], 'label': '12383472844800000000.a.48._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982141
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [61194019122625749386546965716234261065550676357, 12973046415, 711374856272644, 18315078469555722830564650105696, 19, 81605664982956158254665928491230765508585195600, 1060180990569038894418574084255524613880953788, 1189622763457349736123955262555530617638, 8946449065522269249119557081335853928, 81605664071479143356413481571189112895715374212, 27527506182461542743523300411833446166537623, 25903107681057644854320, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 1175105186420816931851, 523394619739857457538732753526127446958090170, 126003, 1060181007935673838042302045626710540973168660, 3, 250697203204669722607462633266565322220790699325, 19939774182461287, 11292163159565976422126556243, 52879138329089872800000, 733786962468268975947488224486198412893288581748, 5780, 19562808545366408, 62762714712770841709473571023707580915471432277, 526288525819454039992696662801408004, 62239692364487069413130793508324577887394201624, 915068351199376579571638403775, 773550442107462560921605156210281985150001306845, 61194018245865587041964265803419789196821626739], 'label': '12383472844800000000.a.48._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982104
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [13516141946671463, 7134684324773775, 45363, 19, 83160969368822429769697474614214970565001344829, 621068901839006533191985350971, 26058175695089838584477160073666691771, 536786370829208278345812157137455368556504504, 41346686279897027777045160917152720056509321619, 958003215, 83174359939498606161291129758745544884906799473, 8691540457466142025496306854385414416, 14135755109557324798699707443181808585932739, 271353675587872628076613537330080020, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 7224940808, 27527506453807291234485377778211540285741932, 20948804215803071440872268822318341838795397085, 523394628686287946246454030911884791392535616, 251206081245582151754765904661979753812356757680, 4, 26058175695089890288498167861804681603, 41842181694842349807980956910182289662223266633, 1582831605762383367207663792359882172808236740, 8, 21981085689233074523462074942928975916743222944, 526262294936239443308946990072118383, 5775, 41346686870362599635855132728683998047391011731, 165896800815446264136872574453943192021476573520, 1175110898011945257612, 376610736912480, 62239692364487069413130793508324577887394201624, 1046045252826100060565078960229335085011311928], 'label': '12383472844800000000.a.48._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982105
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [51704046659140036842244, 251743249325835823818769435908417964517058851195, 14135773002454530289335993019635627394398728, 45363, 915068377000320892972677417604, 1596968254982327951856709291126526147588002564, 958008963, 82142078769992951406636234798526745421053013220, 26058175716867578558230031452535649236, 11292162086650143868894861940, 14135763784652115442013245440059454696698216, 20411646425280565139588722244957598622056593307, 62776850459188849418857911383365164348542859611, 12973011124, 1046045547795767664751048494739436584874053680, 8946448467037794889278108301093075219, 6423302762553619, 1175098428017157047044, 27528392415334952981099313476190438080700304, 3, 1596968533366504673942451330030288645106024323, 6758061133914724, 5760, 243290200818037680, 62762714990373875600070241392740102423353445779, 82142079039175779905877434920210793849178565200, 1073573635768741021641052896831866162081938608, 20398254665261221013258219019884487921826643767, 1190149007131917238971229482509544344415, 165882665426147255080673884038133510676944559280, 86403, 526261695645127136282373103718405760, 20934668469130129512795321341005274289430765920, 26313083715147117820673321266092938164, 14135773002454246775436573007659927730000615, 20412018444402373069191351509151337865744985644, 711381562214403], 'label': '12383472844800000000.a.48._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982106
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [27527524075350516652144282820351809735440499, 6758061133904656, 519004803, 13412054892, 19, 526261673867388235439287337972582408, 51704046659140555801699, 27527515400255452980537465225186989323507220, 711374856318012, 2248008590239540169059, 61194019131835320141951731020541055683385568153, 62763086401918385051778940446991716333067222330, 17366635248915987854635842733144960083, 40809901098961902178848267861663711041772001924, 272127367949174813357575504754191378242575363198, 1046045261517639614255031770778907649083644260, 1596968264183658207260096452081196054740786619, 41842181694842349807980956910182289662223266633, 86416, 550923323965215861868145230855226589127894328, 3, 1569439854673042607311472601092845605968716087, 1046046129586271257801124929687213430361065133, 12454167615, 1569068738098235821141039622750457015783360791, 8691541383020047559045602701806597760, 61207409996683574725562532311320076696640117227, 78680057702499938487607, 21777791779968986725131299767, 12, 27899803425359881283039518846343646217949373, 14135764056005475252696437462211685539850080, 19562827266380900, 773550442107462560921605156210281985150001306845, 616523774079590427381462727786040181198], 'label': '12383472844800000000.a.48._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982107
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [5767, 26313083693369379992746402550455172437, 17999301281396697964175265878455, 19228043907152659, 26976030982784852009040, 40795764188708006692768155652871822364820181846, 16, 894653068413212180491358966906880000000, 1073572741115654924904859022948880992730407606, 19160074087, 61194019131835320141951731020541055683385568153, 26830174947403599946394856195848, 62763086401918385051778940446991716333067222330, 1582831614437496124887569380939956076793452899, 4, 536786387924489535897280941534675826458346834, 82128314712985589804579148559349510324526764899, 77607147916888292112500, 915068402903416104040323276802, 81619056743246864615241511541610091497982563232, 17892923437180512586753043152785597471, 26536174850669531350463487180814, 11, 81619056421964103888330558684570891899148797387, 230285185672295302563937555359964285152117834155, 17366670931741148826642574615559863064, 51127, 165882665426147255080673884038133510676944559280, 271371686181311513213605251255922679, 21777740075948313703028554819, 81605664957169327392999942958821533899330632273, 1059809882669309825952006059012242662049468087, 8691558446282388223053640076508383310, 711394535225523, 27527506453824364981731929714498539340149725, 518924172, 17637988913211645619120136998787891783, 2248001455561482342979], 'label': '12383472844800000000.a.48._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982108
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [14135772731126769807464001663303907502440816, 12973050723, 45363, 958134980, 2248001455556173404256, 26313083693369431696792685080273834103, 958003203, 62790242792323602706123791844660171407572833271, 609776691471441981305634857052, 550922117247206231310108626105545805274377048, 21994477735020748103737820739310625276246995203, 795489866690530043454021139189484019268040100366, 894653068434989947543311942524123334964, 4, 28151116271283772288096, 376623191030407, 53952035309955065606415, 1073573062669787642484045975055747494896624643, 734323373794939304648177464378935650261013614066, 536787256519355739621815425474254013041583452, 11292187887581652503362316176, 11, 1060181294213783595237593683634460675099774020, 1596967352435316453108451736515316007874046736, 20398254665261221013258219019884487921826643767, 7134690072797300, 10080, 82651709306412363873233475790659875932893532803, 83188496580027000238047065210340314524445219779, 20920905593045768060675541047640627634970563203, 7225021443, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 773550442107462560921605156210281985150001306845, 14136641071085574544367373817272668095392004, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.8._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '8.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '8._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982109
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20398254083470682347157759064534119494843523775, 14135772731100266702591824571317807490815931, 1073572749807195676371639499383064308762457042, 82114923248190821879198556555434392408483756088, 6758067839852183, 14135755109557030800541875000963594875791556, 936846092348233967492296830016, 26058175695089838584483918135758438340, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 5763, 82114923239499307653421667010480231571950529962, 526261673867388235426482603534092176, 251206081245582151754765904661979753812356757680, 17637989240281020592796930860087110484, 1888372313608571771904000, 41842181694842349807980956910182289662223266633, 19160064000, 1569439846252855237435520753692146110229555187, 376623630119524, 3, 12454041600, 20948432500605575579267416159382625619309175119, 21777740075928750899792214972, 8691540762758968364003742540164704579, 958013284, 6267059287, 1175091669956542182488, 165896800815446264136872574453943192021476573520, 83160968179462816052359342014520385423366086366, 14135764056006096321545499288238335847570580, 82142451058807465723978207785148918141311965399, 83188496571606832065252617342259384046215172562, 15, 26584437990026076852687637220161350495, 526261989644652826519689265090565772], 'label': '12383472844800000000.a.48._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982110
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20398254083470682347157759064534119494843523775, 14135772731100266702591824571317807490815931, 1073572749807195676371639499383064308762457042, 82114923248190821879198556555434392408483756088, 6758067839852183, 14135755109557030800541875000963594875791556, 936846092348233967492296830016, 26058175695089838584483918135758438340, 41869336921140334252924241450694481699500893396, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 5763, 82114923239499307653421667010480231571950529962, 526261673867388235426482603534092176, 251206081245582151754765904661979753812356757680, 17637989240281020592796930860087110484, 81605293276450211376926216105862834032471166099, 1888372313608571771904000, 41842181694842349807980956910182289662223266633, 19160064000, 1569439846252855237435520753692146110229555187, 376623630119524, 3, 12454041600, 21777740075928750899792214972, 8691540762758968364003742540164704579, 958013284, 6267059287, 1175091669956542182488, 165896800815446264136872574453943192021476573520, 83160968179462816052359342014520385423366086366, 14135764056006096321545499288238335847570580, 82142451058807465723978207785148918141311965399, 15, 26584437990026076852687637220161350495, 526261989644652826519689265090565772], 'label': '12383472844800000000.a.48._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982207
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [925553904460651603615555254960, 13181357629440119, 795489495557386174117089950712384181907012477450, 958003200, 19, 1888372313608559318629200, 590465598079208281695237219287040000000, 766800, 74, 26830174325830819724151513556560, 21779627273150312886603016320, 2248001455561483794480, 52879125147894586482480, 82114922935583164447540490555960003520821267114, 536786370557827456807591076502588347517848400, 4, 26841466512645472363160267032320, 13412044800, 271353675587871452984943575040000000, 126655969420068278905558512706316228182216086574, 13412050560, 81605664071207789680824910938647744729576479920, 711374856192074, 27527506182452690092631959163161804800000000, 629634731525909679619733652275435957977409243622, 35378340214550403720422514838320, 894381714737624309038374023331840000000, 26313083693369353016721801216000000000, 78680050944438805672320, 61730804607476947433944636422844921395695616000, 48, 41040, 7134671351808038, 271067176938863354953146428900417233403485146960], 'label': '12383472844800000000.a.64._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982111
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20398254083470682347157759064534119494843523775, 14135772731100266702591824571317807490815931, 1073572749807195676371639499383064308762457042, 82114923248190821879198556555434392408483756088, 6758067839852183, 14135755109557030800541875000963594875791556, 936846092348233967492296830016, 26058175695089838584483918135758438340, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 5763, 82114923239499307653421667010480231571950529962, 526261673867388235426482603534092176, 251206081245582151754765904661979753812356757680, 17637989240281020592796930860087110484, 1888372313608571771904000, 41842181694842349807980956910182289662223266633, 19160064000, 1569439846252855237435520753692146110229555187, 376623630119524, 3, 12454041600, 21777740075928750899792214972, 8691540762758968364003742540164704579, 40823664573660703059339660864308432142211982671, 958013284, 6267059287, 1175091669956542182488, 165896800815446264136872574453943192021476573520, 83160968179462816052359342014520385423366086366, 14135764056006096321545499288238335847570580, 82142451058807465723978207785148918141311965399, 83188496571606832065252617342259384046215172562, 15, 26584437990026076852687637220161350495, 526261989644652826519689265090565772], 'label': '12383472844800000000.a.48._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982112
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20398254083470682347157759064534119494843523775, 14135772731100266702591824571317807490815931, 1073572749807195676371639499383064308762457042, 82114923248190821879198556555434392408483756088, 6758067839852183, 14135755109557030800541875000963594875791556, 936846092348233967492296830016, 26058175695089838584483918135758438340, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 5763, 82114923239499307653421667010480231571950529962, 526261673867388235426482603534092176, 251206081245582151754765904661979753812356757680, 17637989240281020592796930860087110484, 1888372313608571771904000, 41842181694842349807980956910182289662223266633, 19160064000, 1569439846252855237435520753692146110229555187, 376623630119524, 3, 12454041600, 20948432500605575579267416159382625619309175119, 82114550942790886216092197885824781366418952352, 21777740075928750899792214972, 8691540762758968364003742540164704579, 958013284, 6267059287, 1175091669956542182488, 165896800815446264136872574453943192021476573520, 83160968179462816052359342014520385423366086366, 14135764056006096321545499288238335847570580, 83188496571606832065252617342259384046215172562, 15, 26584437990026076852687637220161350495, 526261989644652826519689265090565772], 'label': '12383472844800000000.a.48._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982113
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20398254083470682347157759064534119494843523775, 14135772731100266702591824571317807490815931, 1073572749807195676371639499383064308762457042, 82114923248190821879198556555434392408483756088, 6758067839852183, 14135755109557030800541875000963594875791556, 936846092348233967492296830016, 26058175695089838584483918135758438340, 41869336921140334252924241450694481699500893396, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 5763, 82114923239499307653421667010480231571950529962, 526261673867388235426482603534092176, 251206081245582151754765904661979753812356757680, 17637989240281020592796930860087110484, 81605293276450211376926216105862834032471166099, 1888372313608571771904000, 41842181694842349807980956910182289662223266633, 19160064000, 1569439846252855237435520753692146110229555187, 376623630119524, 3, 12454041600, 82114550942790886216092197885824781366418952352, 21777740075928750899792214972, 8691540762758968364003742540164704579, 958013284, 6267059287, 1175091669956542182488, 165896800815446264136872574453943192021476573520, 83160968179462816052359342014520385423366086366, 14135764056006096321545499288238335847570580, 15, 26584437990026076852687637220161350495, 526261989644652826519689265090565772], 'label': '12383472844800000000.a.48._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982114
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20398254083470682347157759064534119494843523775, 14135772731100266702591824571317807490815931, 1073572749807195676371639499383064308762457042, 82114923248190821879198556555434392408483756088, 6758067839852183, 14135755109557030800541875000963594875791556, 1596968254982327647374919382021517455113793823, 936846092348233967492296830016, 26058175695089838584483918135758438340, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 5763, 82114923239499307653421667010480231571950529962, 526261673867388235426482603534092176, 251206081245582151754765904661979753812356757680, 17637989240281020592796930860087110484, 81605293276450211376926216105862834032471166099, 1888372313608571771904000, 41842181694842349807980956910182289662223266633, 19160064000, 1569439846252855237435520753692146110229555187, 376623630119524, 3, 12454041600, 21777740075928750899792214972, 8691540762758968364003742540164704579, 958013284, 6267059287, 1175091669956542182488, 165896800815446264136872574453943192021476573520, 83160968179462816052359342014520385423366086366, 14135764056006096321545499288238335847570580, 15, 26584437990026076852687637220161350495, 61730433230928866146778385157941338448411611567, 526261989644652826519689265090565772], 'label': '12383472844800000000.a.48._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982115
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20398254083470682347157759064534119494843523775, 14135772731100266702591824571317807490815931, 1073572749807195676371639499383064308762457042, 82114923248190821879198556555434392408483756088, 6758067839852183, 14135755109557030800541875000963594875791556, 936846092348233967492296830016, 26058175695089838584483918135758438340, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 5763, 82114923239499307653421667010480231571950529962, 526261673867388235426482603534092176, 251206081245582151754765904661979753812356757680, 17637989240281020592796930860087110484, 1888372313608571771904000, 41842181694842349807980956910182289662223266633, 19160064000, 1569439846252855237435520753692146110229555187, 376623630119524, 3, 12454041600, 21777740075928750899792214972, 8691540762758968364003742540164704579, 40823664573660703059339660864308432142211982671, 62762714712779047484864117878488776794568063386, 958013284, 6267059287, 1175091669956542182488, 165896800815446264136872574453943192021476573520, 83160968179462816052359342014520385423366086366, 14135764056006096321545499288238335847570580, 15, 26584437990026076852687637220161350495, 61730433230928866146778385157941338448411611567, 526261989644652826519689265090565772], 'label': '12383472844800000000.a.48._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982116
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20398254083470682347157759064534119494843523775, 14135772731100266702591824571317807490815931, 1073572749807195676371639499383064308762457042, 82114923248190821879198556555434392408483756088, 6758067839852183, 14135755109557030800541875000963594875791556, 936846092348233967492296830016, 26058175695089838584483918135758438340, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 5763, 82114923239499307653421667010480231571950529962, 526261673867388235426482603534092176, 251206081245582151754765904661979753812356757680, 17637989240281020592796930860087110484, 81605293276450211376926216105862834032471166099, 1888372313608571771904000, 41842181694842349807980956910182289662223266633, 19160064000, 1569439846252855237435520753692146110229555187, 376623630119524, 3, 12454041600, 82114550942790886216092197885824781366418952352, 21777740075928750899792214972, 8691540762758968364003742540164704579, 958013284, 6267059287, 1175091669956542182488, 165896800815446264136872574453943192021476573520, 83160968179462816052359342014520385423366086366, 14135764056006096321545499288238335847570580, 15, 26584437990026076852687637220161350495, 61730433230928866146778385157941338448411611567, 526261989644652826519689265090565772], 'label': '12383472844800000000.a.48._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982117
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [20398254083470682347157759064534119494843523775, 14135772731100266702591824571317807490815931, 1073572749807195676371639499383064308762457042, 82114923248190821879198556555434392408483756088, 6758067839852183, 14135755109557030800541875000963594875791556, 936846092348233967492296830016, 26058175695089838584483918135758438340, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 5763, 82114923239499307653421667010480231571950529962, 526261673867388235426482603534092176, 251206081245582151754765904661979753812356757680, 17637989240281020592796930860087110484, 1888372313608571771904000, 41842181694842349807980956910182289662223266633, 19160064000, 1569439846252855237435520753692146110229555187, 376623630119524, 3, 12454041600, 20948432500605575579267416159382625619309175119, 82114550942790886216092197885824781366418952352, 21777740075928750899792214972, 8691540762758968364003742540164704579, 958013284, 6267059287, 1175091669956542182488, 165896800815446264136872574453943192021476573520, 83160968179462816052359342014520385423366086366, 14135764056006096321545499288238335847570580, 15, 26584437990026076852687637220161350495, 61730433230928866146778385157941338448411611567, 526261989644652826519689265090565772], 'label': '12383472844800000000.a.48._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982118
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [61221174340248604598952029526087636484134955488, 271354285364640531574507023488780163, 19228044426116423, 1582832795640045664893741809035026737429512834, 16, 62763086401918385051778940446991716333067222330, 21777792852878772336777507863, 21471828023147325703253875816985065113120171715, 251206081245582151754765904661979753812356757680, 27527506182453311161484342137296527767587856, 958013292, 41842181694842349807980956910182289662223266633, 1569439845997947848931479273873519042544758895, 315777291669279794792631922583, 19679108403, 14135763784652115442013245581246092666636212, 26313084324923783388994440170305274208, 3, 77607153963575008870332, 21994478030771594809430104604180953498260448126, 915068353447384081826543395212, 609776715126548206813372605397, 1060181893370922447690395931580677353032415383, 20920905880129743739934590250767826566413142421, 14135755364465617079010053429508689184547203, 17892896911491237658518741820512628401, 165896800815446264136872574453943192021476573520, 51704033477769953360643, 711388268287931, 10092, 376611175987216, 1046045235204555920886323981566128046751411100, 62239692364487069413130793508324577887394201624, 20, 1175111232776583505223, 19160064016], 'label': '12383472844800000000.a.48._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982119
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': '9.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [628602078355175060470521040074082948574492624737, 250424878876623394, 2248007878870871166007, 26313119387486702949206789849088000000, 61730805788679532940288682297946164559872000000, 8852650863190120306704384000000, 167452104637160049598903968347637310946673738122, 104, 16, 78680064460561511315767, 520053223, 62763086401918385051778940446991716333067222330, 1888372313608553569843255, 35682825189020940030836736000000, 19939418763264000, 894653095254678667233723648835584000000, 815378490775683883400452154800472679943866175427, 271353675587871452984943575040000000, 499385249158572750, 83174360538113054126537557185415058317216530548, 3, 126023, 305291636072840466137088000000, 250048436827765695, 493003717811423340, 19161560909, 1496880, 14136927620601752607829854137398198272000000, 376623630028811, 6266937600, 77607161098264562774486, 599157165388626410845229567705088000000, 41332922839142104556917254324087096748038396779, 27899803425359881283039518846343646217949373, 78, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 1582832786693615186670383526989470324329292894, 6266943376, 20397882107781907884843070658891091470380563144, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.9.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '9.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '9.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982120
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1073572758745457280773310801386542219218636331, 271354285364640531574507023488780163, 19228044426116423, 1582832795640045664893741809035026737429512834, 16, 62763086401918385051778940446991716333067222330, 21777792852878772336777507863, 21471828023147325703253875816985065113120171715, 251206081245582151754765904661979753812356757680, 27527506182453311161484342137296527767587856, 958013292, 41842181694842349807980956910182289662223266633, 1569439845997947848931479273873519042544758895, 536786379249377082708233431156714598313531382, 315777291669279794792631922583, 19679108403, 14135763784652115442013245581246092666636212, 26313084324923783388994440170305274208, 3, 77607153963575008870332, 21994478030771594809430104604180953498260448126, 915068353447384081826543395212, 609776715126548206813372605397, 1060181893370922447690395931580677353032415383, 20920905880129743739934590250767826566413142421, 14135755364465617079010053429508689184547203, 17892896911491237658518741820512628401, 165896800815446264136872574453943192021476573520, 51704033477769953360643, 711388268287931, 10092, 376611175987216, 1046045235204555920886323981566128046751411100, 20, 1175111232776583505223, 19160064016], 'label': '12383472844800000000.a.48._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982121
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1073572758745457280773310801386542219218636331, 271354285364640531574507023488780163, 19228044426116423, 1582832795640045664893741809035026737429512834, 16, 61193646860634178074263659384054802379692441547, 62763086401918385051778940446991716333067222330, 21777792852878772336777507863, 21471828023147325703253875816985065113120171715, 251206081245582151754765904661979753812356757680, 27527506182453311161484342137296527767587856, 958013292, 41842181694842349807980956910182289662223266633, 1569439845997947848931479273873519042544758895, 315777291669279794792631922583, 19679108403, 14135763784652115442013245581246092666636212, 26313084324923783388994440170305274208, 3, 77607153963575008870332, 21994478030771594809430104604180953498260448126, 915068353447384081826543395212, 609776715126548206813372605397, 1060181893370922447690395931580677353032415383, 14135755364465617079010053429508689184547203, 17892896911491237658518741820512628401, 165896800815446264136872574453943192021476573520, 51704033477769953360643, 711388268287931, 10092, 376611175987216, 1046045235204555920886323981566128046751411100, 61730433230928866146778385157941338448411611567, 20, 1175111232776583505223, 19160064016], 'label': '12383472844800000000.a.48._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982122
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271354285364640531574507023488780163, 19228044426116423, 1582832795640045664893741809035026737429512834, 16, 62763086401918385051778940446991716333067222330, 21777792852878772336777507863, 21471828023147325703253875816985065113120171715, 251206081245582151754765904661979753812356757680, 27527506182453311161484342137296527767587856, 958013292, 41842181694842349807980956910182289662223266633, 1569439845997947848931479273873519042544758895, 315777291669279794792631922583, 19679108403, 14135763784652115442013245581246092666636212, 26313084324923783388994440170305274208, 3, 77607153963575008870332, 21994478030771594809430104604180953498260448126, 915068353447384081826543395212, 609776715126548206813372605397, 1060181893370922447690395931580677353032415383, 20920905880129743739934590250767826566413142421, 14135755364465617079010053429508689184547203, 17892896911491237658518741820512628401, 165896800815446264136872574453943192021476573520, 51704033477769953360643, 711388268287931, 10092, 376611175987216, 1046045235204555920886323981566128046751411100, 62239692364487069413130793508324577887394201624, 61730433230928866146778385157941338448411611567, 20, 1175111232776583505223, 19160064016], 'label': '12383472844800000000.a.48._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982123
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [271354285364640531574507023488780163, 19228044426116423, 1582832795640045664893741809035026737429512834, 16, 62763086401918385051778940446991716333067222330, 21777792852878772336777507863, 21471828023147325703253875816985065113120171715, 251206081245582151754765904661979753812356757680, 27527506182453311161484342137296527767587856, 958013292, 41842181694842349807980956910182289662223266633, 1569439845997947848931479273873519042544758895, 315777291669279794792631922583, 19679108403, 14135763784652115442013245581246092666636212, 26313084324923783388994440170305274208, 3, 77607153963575008870332, 21994478030771594809430104604180953498260448126, 915068353447384081826543395212, 609776715126548206813372605397, 1060181893370922447690395931580677353032415383, 21967322222156862464916858538510566230677871323, 20920905880129743739934590250767826566413142421, 14135755364465617079010053429508689184547203, 17892896911491237658518741820512628401, 165896800815446264136872574453943192021476573520, 51704033477769953360643, 711388268287931, 10092, 376611175987216, 1046045235204555920886323981566128046751411100, 61730433230928866146778385157941338448411611567, 20, 1175111232776583505223, 19160064016], 'label': '12383472844800000000.a.48._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982124
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [376610218070404, 45360, 1073572750333457970500052875633835884501196762, 1060180981351218796853226280032198772362367940, 958008960, 17366635259401565843927965955685328563, 7225027204, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 251206081245582151754765904661979753812356757680, 523394611319652686844916235918305857969894503, 14135746418017161332160979331396666370300247, 2248002166943483642168, 41842181694842349807980956910182289662223266633, 21777816507991379619156298812, 41319159372345434266234284363408234701486610011, 6266937612, 523394932602405214439118893929512546085718940, 21967322222156862464916858538510566230677871323, 51704046659408756790971, 122000787837699143, 21777738900849885697886470343, 1073572741641916609260332842211556528944358492, 165896800815446264136872574453943192021476573520, 7134678576880564, 82142451058807465723978207785148918141311965399, 1073573340272802924007999622342568373812838335, 11292160911564897309039545532, 10080, 27527532495537309015941140826515983476618186, 41043, 83188496571606832065252617342259384046215172562, 315777241038150056290054457523, 21444299908614583798258169378128477918482186251], 'label': '12383472844800000000.a.48._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982125
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [376610218070404, 45360, 1073572750333457970500052875633835884501196762, 1060180981351218796853226280032198772362367940, 83160969368822429769697474614214970565001344829, 958008960, 17366635259401565843927965955685328563, 7225027204, 62763086401918385051778940446991716333067222330, 21471828023147325703253875816985065113120171715, 251206081245582151754765904661979753812356757680, 523394611319652686844916235918305857969894503, 14135746418017161332160979331396666370300247, 2248002166943483642168, 41842181694842349807980956910182289662223266633, 21777816507991379619156298812, 41319159372345434266234284363408234701486610011, 82114550942790886216092197885824781366418952352, 6266937612, 523394932602405214439118893929512546085718940, 51704046659408756790971, 122000787837699143, 21777738900849885697886470343, 1073572741641916609260332842211556528944358492, 165896800815446264136872574453943192021476573520, 7134678576880564, 1073573340272802924007999622342568373812838335, 11292160911564897309039545532, 10080, 27527532495537309015941140826515983476618186, 41043, 315777241038150056290054457523, 61730433230928866146778385157941338448411611567, 21444299908614583798258169378128477918482186251], 'label': '12383472844800000000.a.48._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982126
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [41052, 41855573150953808661909434676089690161966032527, 45360, 11292160911564520624057470023, 1060182179649067549348743861047174518858438361, 14135746418016867332711721150704054111363768, 83174359930280803441967792651375807809681210904, 61194019131835320141951731020541055683385568153, 519004804, 523394611064745015634774529348668243669903452, 1046045252299838082212637574696173477348702724, 14135746418016856040474377549834072006343520, 2248007878857977958979, 1596967369547062301531839606999852698825733252, 1582831631549205702485578186060359207323330648, 82665101074851912792036878739278357161250741780, 7224950880, 5760, 1596968246290787516167115849849508236396905041, 21966949942288787162681843688227887123839835006, 1582831606017292269262052256499398624165990968, 609776691471448404608397460328, 775091984905099865963579877863284159198605363111, 27527524075385578408533800052248407050526103, 13181376350429291, 81605665261356815432707049904060620006495491728, 41043, 271354002657248674663946199097395135, 14135755635819292665588905340641291175065543, 305291663048870737553789930168, 9217802142625613565326923165366516323, 26584455967549537245378841018368000030, 81605664982956166181763508793582107394746119187, 376617442934892], 'label': '12383472844800000000.a.48._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982127
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [5767, 26313083693369379992746402550455172437, 17999301281396697964175265878455, 19228043907152659, 26976030982784852009040, 40795764188708006692768155652871822364820181846, 16, 894653068413212180491358966906880000000, 1073572741115654924904859022948880992730407606, 19160074087, 61194019131835320141951731020541055683385568153, 26830174947403599946394856195848, 62763086401918385051778940446991716333067222330, 1582831614437496124887569380939956076793452899, 4, 536786387924489535897280941534675826458346834, 82128314712985589804579148559349510324526764899, 20425782171172284356239637735221327127590315551, 77607147916888292112500, 915068402903416104040323276802, 81619056743246864615241511541610091497982563232, 17892923437180512586753043152785597471, 26536174850669531350463487180814, 11, 230285185672295302563937555359964285152117834155, 17366670931741148826642574615559863064, 51127, 271371686181311513213605251255922679, 165882665426147255080673884038133510676944559280, 21777740075948313703028554819, 81605664957169327392999942958821533899330632273, 1059809882669309825952006059012242662049468087, 8691558446282388223053640076508383310, 711394535225523, 27527506453824364981731929714498539340149725, 518924172, 17637988913211645619120136998787891783, 2248001455561482342979], 'label': '12383472844800000000.a.48._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982128
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [41052, 45360, 11292160911564520624057470023, 1060182179649067549348743861047174518858438361, 14135746418016867332711721150704054111363768, 83174359930280803441967792651375807809681210904, 61194019131835320141951731020541055683385568153, 519004804, 523394611064745015634774529348668243669903452, 1046045252299838082212637574696173477348702724, 14135746418016856040474377549834072006343520, 2248007878857977958979, 1596967369547062301531839606999852698825733252, 733800726204519828739263733699352638230350494046, 1582831631549205702485578186060359207323330648, 82665101074851912792036878739278357161250741780, 7224950880, 5760, 1596968246290787516167115849849508236396905041, 21966949942288787162681843688227887123839835006, 1582831606017292269262052256499398624165990968, 609776691471448404608397460328, 27527524075385578408533800052248407050526103, 13181376350429291, 41043, 271354002657248674663946199097395135, 14135755635819292665588905340641291175065543, 305291663048870737553789930168, 9217802142625613565326923165366516323, 62239692364487069413130793508324577887394201624, 26584455967549537245378841018368000030, 81605664982956166181763508793582107394746119187, 376617442934892], 'label': '12383472844800000000.a.48._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982129
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [27527515128901157130399872411375294100326468, 7224950896, 61193647442153319455249708733832026695292956204, 21471828023147325703253875816985065113120171715, 62240064358085212695937900943786217155058549214, 295767310709369432538394574928557259638, 251206081245582151754765904661979753812356757680, 27527506182452995384268032016432696005484164, 11292162086636627752375233123, 1073572741115654924904809566929663163798005865, 41842181694842349807980956910182289662223266633, 5771, 53952034933331435699288, 1060180990042759558804317945860497018699902007, 894381715358693213125388393523769533375, 3, 79855143325775871027128, 35694119212402069388662628105520, 17366635248915936150589560215780183060, 2248001455574375429771, 17892897532560061890383404699395040083, 958013284, 165896800815446264136872574453943192021476573520, 526261685159626651936761568426205291, 1207515642369539720536520262328901730500, 79855149372443507468171, 550923011357576439995617762641095101824578659, 61221545752048057405094740756571269166969358071, 20, 1583204788440583343378619653645548894393003551, 26058175695089837409373020142534246327, 52879125147719270405763, 82665101656905520391855979967962233436662276426], 'label': '12383472844800000000.a.48._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982130
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1073572759008552130395495410949462922732559354, 2248007878858936003223, 774582724197976762755499471324051207959961447643, 21777738900837415696911236419, 62790242792323602706123791844660171407572833271, 21994477466092783404452931234598991879872525957, 82114551255390302504501224930747090712259255719, 523395514392934723402345230470645659724069078, 26313084324923781141107892838729560980, 7, 62763086401918385051778940446991716333067222330, 14135772476192246645258636334887984741466723, 376616485008011, 4, 1569439854673041714020810846272322970895555211, 1060180998717853718702291730578547008792155079, 17637988934989385592860203636432502899, 5772, 21981086565713678069593135680114307587517459275, 17366635259401513066971521141253017524, 271353675587871453356657873602333463, 20398254665261221013258219019884487921826643767, 125609932371610784393606295977943288732998308497, 82114550951474194666068856705987376685290808311, 523394611064744688565347851759644199417554628, 12454051692, 21994850623255506184058957604683653709001591717, 61221173749783015361096597974138560460818998918, 19562814812258660, 20920904707881882883851360274860550379578013303, 17637989534280494579494107719584035856, 609776689223447660440931414412, 1569439863364582455000771364073180202718626553, 1569441026657824783742300419527308509172416567, 518924172, 13412095924, 125073137179600311121856870158190100128012099167], 'label': '12383472844800000000.a.2._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982131
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [145484782692606254845417493072559426804082863344, 83174361111483352948893140351762665315023919448, 62790242792323602706123791844660171407572833271, 16, 35682825189020940030836736005783, 526261989645249670887287759800611847, 21777790604870893485066531840, 17892896911491214003412181710558211843, 26584438000512919393895499021751280660, 10087, 26841466486742364681929222928565, 1060181007664302490223200869169977214895263927, 41332923715902268142432668402395284359475123304, 4, 376611176118972, 1060180990042759864097841215922901760040544575, 17637989218505142986445487337979831615, 17637989850057708641126935227061162083, 526262588935740507712471152131676256, 1582831927308275867097027535586161491561001004, 2248002166930071552019, 321554106192696600602188894331917157768, 27528687385003439166012598645924769049645360, 20398254665261221013258219019884487921826643767, 19679033524, 27899803425359881283039518846343646217949373, 321282751907333822642015004189769692259, 12454051784, 21777738900837415702659216011, 20934668469130129512795321341005274289430765920, 167465877229062316147271583136128316384191533923, 78680051321055209666640, 958008971, 327069452580818329298675526480], 'label': '12383472844800000000.a.12._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982132
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [90743, 19562814812308332, 376623630150492, 82114922935583165362608196527353786161786079284, 27527532495537004532775187211862820345397767, 53952048114689504143443, 1569439845997946923377549012302499823070329680, 61194019131835320141951731020541055683385568153, 62763086401918385051778940446991716333067222330, 13412085844, 26313084324923809292114925961949816891, 4, 41842181694842349807980956910182289662223266633, 1596967351909046253659550556624350684702960004, 1180931196768195115083127315303731819619, 550922117502106302491397528618561387372332183, 958129219, 61716668861585193188618883525976977523971339607, 271353686880085243668565232090163124, 794457583679600511354933101462177344327198787260, 61716668887117107819616755225390817996571989699, 166942846059334137948391716185778251927690727050, 5760, 27527506708714385737836600385957977209901371, 77607154340191493781863, 23, 518918403, 1596967352180399917955261098077141204616319332, 41332550550590739085902175107749783525809722743, 27899803425359881283039518846343646217949373, 11292163159559594716421862488, 83188495702756995067130654578786026529434606764, 18721059848, 2248001455568627526487], 'label': '12383472844800000000.a.48._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982133
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [27527515128901157130399872411375294100326468, 7224950896, 82651338511120266005552735993093994631095827399, 20398254074524251259160891306508961130089302531, 61193647442153319455249708733832026695292956204, 21471828023147325703253875816985065113120171715, 62240064358085212695937900943786217155058549214, 295767310709369432538394574928557259638, 251206081245582151754765904661979753812356757680, 27527506182452995384268032016432696005484164, 11292162086636627752375233123, 1073572741115654924904809566929663163798005865, 41842181694842349807980956910182289662223266633, 5771, 53952034933331435699288, 1060180990042759558804317945860497018699902007, 894381715358693213125388393523769533375, 3, 79855143325775871027128, 35694119212402069388662628105520, 17366635248915936150589560215780183060, 2248001455574375429771, 17892897532560061890383404699395040083, 958013284, 165896800815446264136872574453943192021476573520, 526261685159626651936761568426205291, 27899803425359881283039518846343646217949373, 1207515642369539720536520262328901730500, 79855149372443507468171, 550923011357576439995617762641095101824578659, 61221545752048057405094740756571269166969358071, 20, 26058175695089837409373020142534246327, 52879125147719270405763], 'label': '12383472844800000000.a.48._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982134
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1582831918098695942860087342130562206718156732, 1189877644941233432563198427687628721208, 550922117502105704007543668737893946631993531, 609776689223427721003008010092, 27527515400254832718272500865373186374817368, 62790242792323602706123791844660171407572833271, 126133317275508066408395982914168483719759741324, 936846066445106347029821051540, 61207410300599673090675995754409734995249206357, 41855573471702103158712679125235558270363294856, 12972960012, 251206081245582151754765904661979753812356757680, 10084, 27527506182452995384268032004339329718245696, 21777738900836704340696064011, 1569439863619499000639514088351114608144384008, 936846065372196561423403206972, 3, 631554428124264801935280953540, 305291637247952075505687393120, 82142079360713439800194321947027255127748831280, 81619056134896575095455278052572925279667067385, 27527532240646994260360133499689934251083451, 327069374973677170458624041063, 51128, 936846141804246426918168816019, 9217803068179567379821529967476822404, 526262599421370201043742133547353615, 936846118149152629553372527940, 1596596270601968528862029705098476919945176962, 15, 40823291981711267659552760171964931597520393532, 20934668469130129512795321341005274289430765920, 631554428124264425325502054320], 'label': '12383472844800000000.a.48._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982135
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1582831918098695942860087342130562206718156732, 1189877644941233432563198427687628721208, 550922117502105704007543668737893946631993531, 609776689223427721003008010092, 27527515400254832718272500865373186374817368, 62790242792323602706123791844660171407572833271, 126133317275508066408395982914168483719759741324, 936846066445106347029821051540, 61207410300599673090675995754409734995249206357, 12972960012, 251206081245582151754765904661979753812356757680, 10084, 27527506182452995384268032004339329718245696, 61730804616686527652187527733901423115334659313, 1569439863619499000639514088351114608144384008, 21777738900836704340696064011, 936846065372196561423403206972, 20425781607019805032148010172924013952592201722, 3, 631554428124264801935280953540, 305291637247952075505687393120, 82142079360713439800194321947027255127748831280, 62762714990373875600070241392740102423353445779, 27527532240646994260360133499689934251083451, 327069374973677170458624041063, 51128, 936846141804246426918168816019, 9217803068179567379821529967476822404, 526262599421370201043742133547353615, 936846118149152629553372527940, 1596596270601968528862029705098476919945176962, 15, 40823291981711267659552760171964931597520393532, 20934668469130129512795321341005274289430765920, 631554428124264425325502054320], 'label': '12383472844800000000.a.48._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982136
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1582831918098695942860087342130562206718156732, 1189877644941233432563198427687628721208, 550922117502105704007543668737893946631993531, 609776689223427721003008010092, 27527515400254832718272500865373186374817368, 62790242792323602706123791844660171407572833271, 126133317275508066408395982914168483719759741324, 936846066445106347029821051540, 61207410300599673090675995754409734995249206357, 12972960012, 251206081245582151754765904661979753812356757680, 10084, 27527506182452995384268032004339329718245696, 1583204215596510816549070383997368788109896948, 61730804616686527652187527733901423115334659313, 1569439863619499000639514088351114608144384008, 21777738900836704340696064011, 936846065372196561423403206972, 3, 631554428124264801935280953540, 305291637247952075505687393120, 82142079360713439800194321947027255127748831280, 27527532240646994260360133499689934251083451, 327069374973677170458624041063, 51128, 936846141804246426918168816019, 9217803068179567379821529967476822404, 526262599421370201043742133547353615, 936846118149152629553372527940, 1596596270601968528862029705098476919945176962, 15, 40823291981711267659552760171964931597520393532, 20934668469130129512795321341005274289430765920, 631554428124264425325502054320], 'label': '12383472844800000000.a.48._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982137
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903479395516712278478, 1073573340527719447868331242224901470715961603, 19, 40795764162394904706096887284504286769066860228, 958008960, 20425410178371782327500414535862298215331275711, 62790242792323602706123791844660171407572833271, 78680051321049461616487, 126133317275508066408395982914168483719759741324, 82651709306140991904344925386847893057107706163, 20411647024437668004729396247675496256346896539, 21777765876854547601044326411, 2248021018370466668171, 1569439845726620077964002317239964750551193619, 27527506182452690092684838307537575202412819, 251206081245582151754765904661979753812356757680, 4, 14135746418051940381135086613525010077907263, 315777241038162484090988760960, 13181371041490575, 5760, 82651709905824410114187911806325067852085792619, 20948432204846515149308544475410508690532050560, 82142079360713439800194321947027255127748831280, 26830174377534866718037026969608, 1073572741115681765564790994163064611210966900, 61207781990018587149666057017975988970350533144, 51704053040579456563208, 12972965760, 711394535184480, 1175335671544669958407, 1596596270601968528862029705098476919945176962, 1073573340527719447867761373997105216931654492, 20934668469130129512795321341005274289430765920, 20411645834814958219022954490889333791169286455, 62790241619541257011256885121871721552850506984, 5776], 'label': '12383472844800000000.a.48._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982138
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [25903479395516712278478, 19, 1073573340527719447868331242224901470715961603, 40795764162394904706096887284504286769066860228, 958008960, 62790242792323602706123791844660171407572833271, 78680051321049461616487, 126133317275508066408395982914168483719759741324, 82651709306140991904344925386847893057107706163, 20411647024437668004729396247675496256346896539, 21777765876854547601044326411, 2248021018370466668171, 1569439845726620077964002317239964750551193619, 27527506182452690092684838307537575202412819, 251206081245582151754765904661979753812356757680, 4, 14135746418051940381135086613525010077907263, 315777241038162484090988760960, 13181371041490575, 5760, 82651709905824410114187911806325067852085792619, 20948432204846515149308544475410508690532050560, 82142079360713439800194321947027255127748831280, 26830174377534866718037026969608, 1073572741115681765564790994163064611210966900, 51704053040579456563208, 12972965760, 711394535184480, 1175335671544669958407, 1596596270601968528862029705098476919945176962, 1073573340527719447867761373997105216931654492, 40809900525591621018240197774336454303242774995, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 20411645834814958219022954490889333791169286455, 62790241619541257011256885121871721552850506984, 5776, 42365204329667389832713499332095128139405792720], 'label': '12383472844800000000.a.48._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982139
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [19160069779, 14135746418016867332660017110091787162736503, 16, 51131, 19562821518330735, 14135746418016246263810955047575017108417128, 628574922529719973182222724185819794044704966978, 21994478647023979257980503764518976070164643297, 3, 523394619739857457538730505512201915236531361, 10088, 1596967352435307622235299296129335342976906296, 27527515400263968076448765401270639030223300, 27527810369923024096608362426444861498191539, 53952034933331435628727, 711374856237363, 78680051321042755635123, 1073572741115655534681574149477859389013686972, 27899803425359881283039518846343646217949373, 1046045235459490444854441240713271517437763246, 1189877671455629278707066126967767244848, 11292239591609083598973172324, 61194019122625749103033070792610385312623952601, 83174731923607601857868815796129766934692827627, 62239692364487069413130793508324577887394201624, 1046045234933202234812201262872350256437482277, 25903121197179911852880, 1569439845726593247789650583312894320403308172, 1073572741387018051628121977948987484011754266, 2248020683612095523763, 81605665887650849605964043328467866039507327888, 1569439871784778078237742988836406837312648998, 20948433099236435651839784936237446703146396893, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.48._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982140
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [51704162236987317036720, 271353991365164195174858738208374962, 1175111232770835370099, 16, 11292160911564897215634227823, 17999303116889873955387521288895, 315777216310134379599049706163, 121696, 1569439846252881762316968439763462910726270016, 13181357629440015, 14135746944304772083289723075468960258867768, 4, 958129223, 1073572767428738618274213214768398831872519846, 41842181694842349807980956910182289662223266633, 20398254977852397063005026031297289873444406414, 21994849754652372333983026646124651777459129715, 165896800833084280489633157485262059740027212845, 26841466488990366137490625473165, 83160968188409272435202552973193896034107416965, 62240063767093344405594950890526965961005517530, 376617443005448, 11292163159566352770849552500, 10083, 794457583679600511354933101462177344327198787260, 20425781884622802608366410216755865703966518358, 11, 631554481003390284431124633699, 12804754636402563, 12972960007, 290955810167270813929422458013874042189654592564, 1060180981351245321735916038031019489033232484, 62239692364487069413130793508324577887394201624, 1582831606017327048311126348741464276949226248, 1582831614437478157850898650311861774240629870, 26830174378709964434834524746260], 'label': '12383472844800000000.a.48._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982142
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [145484782692606254845417493072559426804082863344, 83174361111483352948893140351762665315023919448, 62790242792323602706123791844660171407572833271, 16, 35682825189020940030836736005783, 526261989645249670887287759800611847, 21777790604870893485066531840, 17892896911491214003412181710558211843, 26584438000512919393895499021751280660, 10087, 26841466486742364681929222928565, 1060181007664302490223200869169977214895263927, 41332923715902268142432668402395284359475123304, 4, 376611176118972, 1060180990042759864097841215922901760040544575, 17637989218505142986445487337979831615, 17637989850057708641126935227061162083, 526262588935740507712471152131676256, 1582831927308275867097027535586161491561001004, 2248002166930071552019, 321554106192696600602188894331917157768, 27528687385003439166012598645924769049645360, 20398254665261221013258219019884487921826643767, 19679033524, 27899803425359881283039518846343646217949373, 321282751907333822642015004189769692259, 12454051784, 21777738900837415702659216011, 20934668469130129512795321341005274289430765920, 754198233250504877573889203916878452508148742518, 78680051321055209666640, 958008971, 327069452580818329298675526480], 'label': '12383472844800000000.a.12._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982143
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [61194019122625749386546965716234261065550676357, 12973046415, 711374856272644, 18315078469555722830564650105696, 19, 81605664982956158254665928491230765508585195600, 1060180990569038894418574084255524613880953788, 1189622763457349736123955262555530617638, 8946449065522269249119557081335853928, 81605664071479143356413481571189112895715374212, 537158980671531747469380839962581631015702340, 27527506182461542743523300411833446166537623, 25903107681057644854320, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 1175105186420816931851, 523394619739857457538732753526127446958090170, 126003, 1060181007935673838042302045626710540973168660, 3, 250697203204669722607462633266565322220790699325, 19939774182461287, 11292163159565976422126556243, 52879138329089872800000, 733786962468268975947488224486198412893288581748, 5780, 19562808545366408, 526288525819454039992696662801408004, 62239692364487069413130793508324577887394201624, 915068351199376579571638403775, 773550442107462560921605156210281985150001306845, 61194018245865587041964265803419789196821626739], 'label': '12383472844800000000.a.48._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982144
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [51704162236987317036720, 271353991365164195174858738208374962, 1175111232770835370099, 16, 11292160911564897215634227823, 17999303116889873955387521288895, 315777216310134379599049706163, 121696, 1569439846252881762316968439763462910726270016, 13181357629440015, 14135746944304772083289723075468960258867768, 4, 958129223, 1073572767428738618274213214768398831872519846, 41842181694842349807980956910182289662223266633, 20398254977852397063005026031297289873444406414, 21994849754652372333983026646124651777459129715, 165896800833084280489633157485262059740027212845, 26841466488990366137490625473165, 83160968188409272435202552973193896034107416965, 376617443005448, 11292163159566352770849552500, 10083, 794457583679600511354933101462177344327198787260, 20425781884622802608366410216755865703966518358, 537158659125675528890489975031010875068732166, 11, 631554481003390284431124633699, 12804754636402563, 12972960007, 290955810167270813929422458013874042189654592564, 1060180981351245321735916038031019489033232484, 62239692364487069413130793508324577887394201624, 1582831606017327048311126348741464276949226248, 1582831614437478157850898650311861774240629870, 26830174378709964434834524746260], 'label': '12383472844800000000.a.48._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982145
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [19679033531, 1073572767173830619994722335428870629844701291, 518928499, 13181364854471543, 1582831926773790429017079856245810837107698642, 21777817580900830298513705051, 526262305421842160629509369596688499, 894381723884274675541405494828420953535, 5763, 733800726204519828739263733699352638230350494046, 12972960003, 61730804625114963504400007574470829776895807405, 3, 165896800815446264136872574453943192021476573520, 62239692364487069413130793508324577887394201624, 21966950845345614984255164198310546953041912340, 1060180981622572776926149708531955307912278888, 631554430372285109011323850804, 20935040462974958237931924465845509793101772913, 523394628160026882155753946003379531178202762, 27899500043736555374257448347754085153380470, 61194019131835320141951731020541055683385568153, 52879125524690655676803, 711387310233600, 7, 52879132282397847148800, 41842181694842349807980956910182289662223266633, 26584446211122588350843056075534170754, 61207410891336625161250656741057639444899776667, 27527506453806365680530388179088520630118967, 621068928815030758271641686979], 'label': '12383472844800000000.a.48._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982146
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [19679033531, 62762714712770841709473571023707580915471432277, 1073572767173830619994722335428870629844701291, 518928499, 13181364854471543, 1582831926773790429017079856245810837107698642, 21777817580900830298513705051, 526262305421842160629509369596688499, 894381723884274675541405494828420953535, 5763, 733800726204519828739263733699352638230350494046, 12972960003, 61730804625114963504400007574470829776895807405, 3, 165896800815446264136872574453943192021476573520, 62239692364487069413130793508324577887394201624, 1060180981622572776926149708531955307912278888, 631554430372285109011323850804, 20935040462974958237931924465845509793101772913, 523394628160026882155753946003379531178202762, 27899500043736555374257448347754085153380470, 61194019131835320141951731020541055683385568153, 52879125524690655676803, 711387310233600, 7, 52879132282397847148800, 41842181694842349807980956910182289662223266633, 26584446211122588350843056075534170754, 61207410891336625161250656741057639444899776667, 27527506453806365680530388179088520630118967, 621068928815030758271641686979], 'label': '12383472844800000000.a.48._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982147
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [78680051655819847920019, 82637574758283937901945930215638049886790694320, 550923324220123870635772325150392494083582714, 1582831606017291375971543468215498016837299208, 62790242792323602706123791844660171407572833271, 21966951140586628315146540174089732596144767368, 126133317275508066408395982914168483719759741324, 1073572749807196286147087826001271885040443531, 711387829162083, 61744568960243359992641795169639882879520668242, 21994850023835245663110897600979728083211523725, 251206081245582151754765904661979753812356757680, 1175091669950275133284, 518918408, 1060181876004305492074542960008568198128992676, 14135746418016257555971866611384240443513692, 1596967352435307622235300471208200208624501135, 3, 82142079360713439800194321947027255127748831280, 21777740075941179037424650087, 10103, 41318787969739141295854277613980067066918455789, 7224940820, 77607148293498511301763, 1582831605491029996103579865129911380028618969, 26313083715147169524699664383335913615, 79855155795740442163204, 14135755635818693374527127114311449490829949, 12, 27899803425359881283039518846343646217949373, 19679108404, 1060180998989207382995468774365651815940314975, 27527524075350222653314349046000063177557798], 'label': '12383472844800000000.a.48._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982148
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [79855149749053206528000, 958003200, 27527506182479226267482628687377596416000000, 21777738900836704321536000000, 86400, 17366635237623772991036388802560000029, 111, 1582831605491029680326337651881803776000000000, 25, 21471827414788840174982555228658239739837944459, 79855143325756710912000, 62790241602174586101293498851172076748800000000, 814345835180961953858110575114204353319025340832, 53952034933325168640000, 19678982400, 62763086401918385051778940446991716333067222330, 361686124800, 17637988913211644444021332377600000000, 925553903285559933665280000000, 41842181694842349807980956910182289662223266633, 62267219279949016624624662931138808746272414100, 3, 885961527955746116073023046942720000000, 79855635952844623872000, 1537920, 6266937600, 609776689223427721003008000000, 526261673867387060334436024320000029, 81, 10080, 9146650338351415815045120000000, 193077561600, 20934668469130129512795321341005274289430765920, 20, 2248001455555215360000, 1267872820933141463040000, 121680, 373680, 710689102363829932858018342576937112940920176745], 'label': '12383472844800000000.a.48._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982149
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [61194019122625749386546965716234261065550676357, 12973046415, 711374856272644, 83160969368822429769697474614214970565001344829, 19, 18315078469555722830564650105696, 81605664982956158254665928491230765508585195600, 1060180990569038894418574084255524613880953788, 1189622763457349736123955262555530617638, 8946449065522269249119557081335853928, 81605664071479143356413481571189112895715374212, 250683068040305358158531331669357704505551584704, 27527506182461542743523300411833446166537623, 62763086401918385051778940446991716333067222330, 25903107681057644854320, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 1175105186420816931851, 523394619739857457538732753526127446958090170, 126003, 1060181007935673838042302045626710540973168660, 3, 19939774182461287, 11292163159565976422126556243, 52879138329089872800000, 5780, 19562808545366408, 526288525819454039992696662801408004, 62239692364487069413130793508324577887394201624, 915068351199376579571638403775, 773550442107462560921605156210281985150001306845, 61194018245865587041964265803419789196821626739], 'label': '12383472844800000000.a.48._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982150
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [51704162236987317036720, 271353991365164195174858738208374962, 1175111232770835370099, 16, 11292160911564897215634227823, 17999303116889873955387521288895, 315777216310134379599049706163, 62763086401918385051778940446991716333067222330, 121696, 1569439846252881762316968439763462910726270016, 13181357629440015, 14135746944304772083289723075468960258867768, 4, 958129223, 1073572767428738618274213214768398831872519846, 41842181694842349807980956910182289662223266633, 20398254977852397063005026031297289873444406414, 21994849754652372333983026646124651777459129715, 26841466488990366137490625473165, 83160968188409272435202552973193896034107416965, 376617443005448, 11292163159566352770849552500, 10083, 794457583679600511354933101462177344327198787260, 20425781884622802608366410216755865703966518358, 41346314894402462666675562523049880264488744256, 146517063297696291207483803773896842815580898685, 11, 631554481003390284431124633699, 12804754636402563, 12972960007, 1060180981351245321735916038031019489033232484, 62239692364487069413130793508324577887394201624, 1582831606017327048311126348741464276949226248, 1582831614437478157850898650311861774240629870, 26830174378709964434834524746260], 'label': '12383472844800000000.a.48._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982151
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [1175091669956542070883, 21444299309728816598918540140270209363522718195, 1582831614437478451849131739827476338280692327, 936846141804259566411497101928, 62790242792323602706123791844660171407572833271, 1060180981351254762386325220382516431265462408, 609776742102565673475956803699, 61744568960243359992641795169639882879520668242, 376623630074180, 621068851310064725359853238972, 1073572758482291088082510572015772486636799288, 315777216310498624454476704004, 1073572741641952281597462080374908321863694810, 536786397142265435540238071914925615542323135, 10083, 3, 13412085859, 271353686880111044581557192197927535, 11292162086636627764829305691, 312607657725658834937185091834450732168, 518928480, 20411647032586528561457576377801862416492732083, 51123, 550922126193645856181298737681831494843402084, 14135773002454530289333745247953876778610567, 42378968360887910218191181682712847740297937312, 13412044803, 7224991920, 165882665426147255080673884038133510676944559280, 27899803425359881283039518846343646217949373, 13181358148490168, 915068327544270354088888541280, 26058176326644319486158624441698118495, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 12454163292, 305292955650079019558506028663], 'label': '12383472844800000000.a.48._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982152
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [20948432517709071116820436240439820835111586739, 621068851310065060142693462400, 82637945579371090395915675965647892836378597684, 61193646834329308987967822552916188133336097311, 2248002166937296618808, 82651710200522724946562099015628775846480377652, 27527506708715279028422995836668826784204903, 40823292563230443808706681559115520324759989002, 61744568960243359992641795169639882879520668242, 61716669764387095306604698745597540042296527459, 303916116985485402316814686147000176074, 958003212, 711394016307124, 631554481003403089179494143923, 536786397142265435540314503977219588469862320, 3, 26584437368957277348845408632578089040, 305291636072847224217900847455, 41332551132364787550507909598789329390934204080, 17892897848337225423573809541549763271, 27527506182453299869398789738799796212526233, 17366636163177729155727893489872998964, 26313084608437678313009216419683505954, 5775, 80640, 6706144099, 1073573653135394868343313446357756156822819757, 26976030648021171884895, 165882665426147255080673884038133510676944559280, 12972960011, 82665102264474614029578696328013207597237590366, 40795764188453071265021884578791797164265561033, 21777740075928750887777136491, 20, 526261979159049036282959847991132800], 'label': '12383472844800000000.a.48._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982153
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1046045252299837766435423512333098738040511328, 21471828022892418009863322970530721117045254264, 81605664071734078816422295099115253813855074001, 52879145087145258691220, 315777242213241725897803520035, 28151115894686008265060, 145484782692606254845417493072559426804082863344, 711394016377703, 271353980879507525838591076982744404, 62790242792323602706123791844660171407572833271, 1046045243879686046313647039853766315318480602, 518963776, 7, 27527524075349928653169232591084992762172165, 78680064460555325743923, 21777790604889410148809899456, 17892896933268900127299575901988211056, 1175098093246331705535, 376610218070416, 13516134721734983, 17366635542915411311897538539729564186, 126000, 12804747930455059, 83174360538113054126537557185415058317216530548, 3, 1582831927308275867097027535586161491561001004, 5775, 20398254665261221013258219019884487921826643767, 14135746689370553406084731371147215440809064, 925553929188667991351344501691, 20948432205372758856138126739851937242754634992, 61744197574230792013398046854313200197501256979, 167465877229062316147271583136128316384191533923, 20934668469130129512795321341005274289430765920], 'label': '12383472844800000000.a.12._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982154
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [327069374973677170478303073124, 41332551123944600463338699884755225602660881932, 14135746418052223088526841444974202847421372, 61193646834329308987967822552916188133336097311, 519040083, 1242072388474979141939040, 6758073587987287, 14135746944278845685127204555768973575146163, 80659, 61744568960243359992641795169639882879520668242, 526261989644654001969557383996303451, 376610736988804, 526262610713453505460011092299453452, 21777738900855932385122140808, 81605664071207825962943744691370541967895717687, 5768, 251206081245582151754765904661979753812356757680, 26313083693369353016721801216000051132, 536786370557836309457187568907148337004046757, 21457691069221907599547515800420280281379179600, 26058176316158765151499662515945101924, 3, 305291687776874320523965337523, 83160968188409263604329998552759454925763218468, 20411647032586528561457576377801862416492732083, 1596967351909046558144552003549130685216805768, 20425410481769860150703234989745967872545625539, 1582831605491029996103631569406679095490378816, 19160115132, 1569439845726611835089881127856268185544576165, 41332550541899180335138050928017010250190110696, 62239692364487069413130793508324577887394201624, 20, 631554429299356806662129443203], 'label': '12383472844800000000.a.48._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982155
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [19, 61193646834329308987967822552916188133336097311, 62790242792323602706123791844660171407572833271, 5764, 26313083715147091917565263617391574328, 21778360473245588648051661453, 61207410005630031728668122026783154152579480416, 295767310382301947010421332692514613743, 711388268327532, 61744568960243359992641795169639882879520668242, 19160109363, 62240063767619642056680556696020575520374367372, 894653068413212180491487014736933114175, 550922117247215693737686840220837217462551799, 3, 550922134342478940694528722186931464004460164, 1073572741641943123656773582452114790653903927, 19228056880118411, 14135746944277941908935843328492566130290571, 1046417550077264227418137774293020591530397313, 1596967369801943153859116243920053180473413747, 526261685159599675926387732053033044, 20411647032586528561457576377801862416492732083, 21777738900850220462524668244, 21777740075941555641896147040, 1582831605762383355914286712020710926050402495, 958124896, 27899803425359881283039518846343646217949373, 165882665426147255080673884038133510676944559280, 86408, 250424959826770560, 26976018178044666229703, 2248021394974497583455, 1596967377967222558526101917459619599520895340], 'label': '12383472844800000000.a.48._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982156
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [17892896911491238731434950617047765764, 2248014971697163210088, 1175098804621187978179, 6706799288, 82114922935854518438903740577895833851450712446, 62790242792323602706123791844660171407572833271, 90732, 26313083693369353016722177838672474180, 271353675587872628096552943640073520, 519040103, 86419, 17366635847400462214476914572658886960, 17892897837045090312967787982968663060, 41869709218383214276382079997433676906322179939, 26584446842676937794806864979547898180, 4, 21777792852884819017308623288, 61730804616686527652187527733901423115334659313, 82114923552370078826088227191542329071240006320, 126000, 41319159364180164945062461414009824608256000078, 19228044425996163, 62762714990373875600070241392740102423353445779, 20411647032586528561457576377801862416492732083, 61730804608003210044658115831393385755563304895, 8946449381299535015291628695757479539, 1582831614437478136071917677817264806371993681, 82128314721405777501525691549119867473054520983, 81619056734571778981728422136875592243012295038, 711375814326968, 27527532240646384483697886473912961871971132, 10080, 165882665426147255080673884038133510676944559280, 62790242809690219944446364418045588466160422400, 1175104474697688152407, 20934668469130129512795321341005274289430765920, 42392731523513512252731084689705973743081206426, 20411646138476167477641539670006692261823971317], 'label': '12383472844800000000.a.48._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982164
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1046045252299837766435423512333098738040511328, 21471828022892418009863322970530721117045254264, 81605664071734078816422295099115253813855074001, 52879145087145258691220, 315777242213241725897803520035, 28151115894686008265060, 145484782692606254845417493072559426804082863344, 711394016377703, 271353980879507525838591076982744404, 62790242792323602706123791844660171407572833271, 1046045243879686046313647039853766315318480602, 518963776, 7, 27527524075349928653169232591084992762172165, 795489866690530043454021139189484019268040100366, 78680064460555325743923, 21777790604889410148809899456, 17892896933268900127299575901988211056, 1175098093246331705535, 376610218070416, 13516134721734983, 126000, 17366635542915411311897538539729564186, 12804747930455059, 83174360538113054126537557185415058317216530548, 3, 41332551141311235700972160316813136192353102063, 1582831927308275867097027535586161491561001004, 5775, 20398254665261221013258219019884487921826643767, 14135746689370553406084731371147215440809064, 925553929188667991351344501691, 20948432205372758856138126739851937242754634992, 61744197574230792013398046854313200197501256979, 20934668469130129512795321341005274289430765920], 'label': '12383472844800000000.a.12._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982157
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [17892896911491238731434950617047765764, 2248014971697163210088, 1175098804621187978179, 6706799288, 61221546038605761664550263629766536218425417028, 82114922935854518438903740577895833851450712446, 62790242792323602706123791844660171407572833271, 21967322543965876340118946422670176732826837788, 90732, 26313083693369353016722177838672474180, 271353675587872628096552943640073520, 519040103, 86419, 17366635847400462214476914572658886960, 17892897837045090312967787982968663060, 26584446842676937794806864979547898180, 4, 21777792852884819017308623288, 82114923552370078826088227191542329071240006320, 126000, 41319159364180164945062461414009824608256000078, 19228044425996163, 20411647032586528561457576377801862416492732083, 61730804608003210044658115831393385755563304895, 8946449381299535015291628695757479539, 1582831614437478136071917677817264806371993681, 82128314721405777501525691549119867473054520983, 81619056734571778981728422136875592243012295038, 711375814326968, 61716669182604823393970796272384176496005639029, 27527532240646384483697886473912961871971132, 10080, 165882665426147255080673884038133510676944559280, 62790242809690219944446364418045588466160422400, 1175104474697688152407, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 20411646138476167477641539670006692261823971317], 'label': '12383472844800000000.a.48._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982158
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [17892896911491238731434950617047765764, 2248014971697163210088, 1175098804621187978179, 6706799288, 82114922935854518438903740577895833851450712446, 62790242792323602706123791844660171407572833271, 90732, 26313083693369353016722177838672474180, 271353675587872628096552943640073520, 519040103, 86419, 17366635847400462214476914572658886960, 17892897837045090312967787982968663060, 41869709218383214276382079997433676906322179939, 26584446842676937794806864979547898180, 4, 21777792852884819017308623288, 61730804616686527652187527733901423115334659313, 82114923552370078826088227191542329071240006320, 126000, 41319159364180164945062461414009824608256000078, 19228044425996163, 20411647032586528561457576377801862416492732083, 61730804608003210044658115831393385755563304895, 8946449381299535015291628695757479539, 1582831614437478136071917677817264806371993681, 82128314721405777501525691549119867473054520983, 81619056734571778981728422136875592243012295038, 711375814326968, 27527532240646384483697886473912961871971132, 10080, 27899803425359881283039518846343646217949373, 165882665426147255080673884038133510676944559280, 62790242809690219944446364418045588466160422400, 1175104474697688152407, 20934668469130129512795321341005274289430765920, 42392731523513512252731084689705973743081206426, 20411646138476167477641539670006692261823971317], 'label': '12383472844800000000.a.48._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982159
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [17892896911491238731434950617047765764, 2248014971697163210088, 1175098804621187978179, 6706799288, 82114922935854518438903740577895833851450712446, 62790242792323602706123791844660171407572833271, 90732, 372896926324758591498249920155178763228770, 26313083693369353016722177838672474180, 271353675587872628096552943640073520, 519040103, 86419, 17366635847400462214476914572658886960, 17892897837045090312967787982968663060, 26584446842676937794806864979547898180, 4, 21777792852884819017308623288, 82114923552370078826088227191542329071240006320, 126000, 41319159364180164945062461414009824608256000078, 19228044425996163, 20411647032586528561457576377801862416492732083, 61730804608003210044658115831393385755563304895, 8946449381299535015291628695757479539, 1582831614437478136071917677817264806371993681, 82128314721405777501525691549119867473054520983, 81619056734571778981728422136875592243012295038, 711375814326968, 27527532240646384483697886473912961871971132, 10080, 27899803425359881283039518846343646217949373, 165882665426147255080673884038133510676944559280, 41318787674243238859275094163793663219326641282, 62790242809690219944446364418045588466160422400, 1175104474697688152407, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624, 20411646138476167477641539670006692261823971317], 'label': '12383472844800000000.a.48._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982160
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [79855149749053206528000, 61730804607476947433944636422838498099200000026, 21777738900836704321536000000, 61730804607485179735429658271915137914002997795, 1189877644614162143416159850987520000000, 79855143325756710912000, 690828378655192184585590595853819648131094865266, 20921286434409816062495502123856837863441763846, 62763086401918385051778940446991716333067222330, 9217829277284991371622292783104000000, 1269047912603090780201040, 35682825189020940030836736000000, 4, 271353675587871452984943575040000000, 19160064000, 26058175695089837409372308766720000000, 131760, 27527506182452690092631959163161804800000000, 1175091669949317161040, 78680050944432537641040, 5760, 29, 1496880, 1181202576664178760674279106281472000000, 79855635952844623872000, 518918400, 363600, 1941149256871928463360000, 41040, 631554428124264425324544000000, 41346686279370730420350670662517181644800000026, 1583203894585103155852482993570621486392892073, 631554428124264425324544000020, 550922116975843703070107182711386931200000026, 20934668469130129512795321341005274289430765920, 268719897600, 88176211200], 'label': '12383472844800000000.a.48._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982161
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [78680051655819847920019, 82637574758283937901945930215638049886790694320, 550923324220123870635772325150392494083582714, 1582831606017291375971543468215498016837299208, 62790242792323602706123791844660171407572833271, 21966951140586628315146540174089732596144767368, 126133317275508066408395982914168483719759741324, 1073572749807196286147087826001271885040443531, 711387829162083, 61744568960243359992641795169639882879520668242, 251206081245582151754765904661979753812356757680, 1175091669950275133284, 518918408, 1060181876004305492074542960008568198128992676, 14135746418016257555971866611384240443513692, 1596967352435307622235300471208200208624501135, 3, 82142079360713439800194321947027255127748831280, 21777740075941179037424650087, 10103, 77607148293498511301763, 7224940820, 1582831605491029996103579865129911380028618969, 26313083715147169524699664383335913615, 42378968360887910218191181682712847740297937312, 79855155795740442163204, 12, 14135755635818693374527127114311449490829949, 27899803425359881283039518846343646217949373, 19679108404, 1060180998989207382995468774365651815940314975, 27527524075350222653314349046000063177557798, 62239692364487069413130793508324577887394201624], 'label': '12383472844800000000.a.48._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982162
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [78680051655819847920019, 82637574758283937901945930215638049886790694320, 550923324220123870635772325150392494083582714, 1582831606017291375971543468215498016837299208, 62790242792323602706123791844660171407572833271, 21966951140586628315146540174089732596144767368, 126133317275508066408395982914168483719759741324, 1073572749807196286147087826001271885040443531, 711387829162083, 61744568960243359992641795169639882879520668242, 21994850023835245663110897600979728083211523725, 251206081245582151754765904661979753812356757680, 1175091669950275133284, 518918408, 1060181876004305492074542960008568198128992676, 14135746418016257555971866611384240443513692, 1596967352435307622235300471208200208624501135, 3, 82142079360713439800194321947027255127748831280, 62762714990373875600070241392740102423353445779, 21777740075941179037424650087, 10103, 41318787969739141295854277613980067066918455789, 7224940820, 77607148293498511301763, 1582831605491029996103579865129911380028618969, 26313083715147169524699664383335913615, 79855155795740442163204, 14135755635818693374527127114311449490829949, 12, 19679108404, 1060180998989207382995468774365651815940314975, 27527524075350222653314349046000063177557798], 'label': '12383472844800000000.a.48._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982163
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 24, 'diagramx': None, 'generators': [78680051655819847920019, 82637574758283937901945930215638049886790694320, 550923324220123870635772325150392494083582714, 1582831606017291375971543468215498016837299208, 62790242792323602706123791844660171407572833271, 21966951140586628315146540174089732596144767368, 126133317275508066408395982914168483719759741324, 1073572749807196286147087826001271885040443531, 711387829162083, 61744568960243359992641795169639882879520668242, 21994850023835245663110897600979728083211523725, 251206081245582151754765904661979753812356757680, 1175091669950275133284, 518918408, 1060181876004305492074542960008568198128992676, 14135746418016257555971866611384240443513692, 1073944743134021576192779630174573569833777335, 1596967352435307622235300471208200208624501135, 3, 82142079360713439800194321947027255127748831280, 21777740075941179037424650087, 10103, 77607148293498511301763, 7224940820, 1582831605491029996103579865129911380028618969, 26313083715147169524699664383335913615, 79855155795740442163204, 12, 14135755635818693374527127114311449490829949, 19679108404, 1060180998989207382995468774365651815940314975, 27527524075350222653314349046000063177557798, 62239692364487069413130793508324577887394201624], 'label': '12383472844800000000.a.48._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982165
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [79855149749053206528000, 958003200, 27527506182479226267482628687377596416000000, 21777738900836704321536000000, 17366635237623772991036388802560000029, 86400, 111, 1582831605491029680326337651881803776000000000, 25, 79855143325756710912000, 62790241602174586101293498851172076748800000000, 19678982400, 53952034933325168640000, 361686124800, 17637988913211644444021332377600000000, 105226176008660692994771389132566074503750687391, 925553903285559933665280000000, 733800726204519828739263733699352638230350494046, 3, 885961527955746116073023046942720000000, 145994414802327153772741944140081537897518319388, 81591901516677561241094797500166696853735664042, 79855635952844623872000, 1537920, 6266937600, 609776689223427721003008000000, 526261673867387060334436024320000029, 81, 10080, 9146650338351415815045120000000, 193077561600, 20, 2248001455555215360000, 1267872820933141463040000, 121680, 373680, 710689102363829932858018342576937112940920176745], 'label': '12383472844800000000.a.48._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982167
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [19160069779, 14135746418016867332660017110091787162736503, 16, 51131, 19562821518330735, 61221546064647455726871145303192068390338025673, 14135746418016246263810955047575017108417128, 21994478647023979257980503764518976070164643297, 3, 523394619739857457538730505512201915236531361, 10088, 1596967352435307622235299296129335342976906296, 689782333429205422270455743997543996085240674593, 27527515400263968076448765401270639030223300, 27527810369923024096608362426444861498191539, 53952034933331435628727, 711374856237363, 78680051321042755635123, 1073572741115655534681574149477859389013686972, 27899803425359881283039518846343646217949373, 1046045235459490444854441240713271517437763246, 1189877671455629278707066126967767244848, 11292239591609083598973172324, 61194019122625749103033070792610385312623952601, 62239692364487069413130793508324577887394201624, 1046045234933202234812201262872350256437482277, 25903121197179911852880, 1569439845726593247789650583312894320403308172, 1073572741387018051628121977948987484011754266, 2248020683612095523763, 1569439871784778078237742988836406837312648998, 20948433099236435651839784936237446703146396893, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.48._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982168
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [51704162236987317036720, 271353991365164195174858738208374962, 1175111232770835370099, 16, 11292160911564897215634227823, 17999303116889873955387521288895, 315777216310134379599049706163, 62763086401918385051778940446991716333067222330, 121696, 1569439846252881762316968439763462910726270016, 13181357629440015, 14135746944304772083289723075468960258867768, 4, 187312828649171207810125159758831897756666650382, 958129223, 1073572767428738618274213214768398831872519846, 41842181694842349807980956910182289662223266633, 20398254977852397063005026031297289873444406414, 21994849754652372333983026646124651777459129715, 26841466488990366137490625473165, 83160968188409272435202552973193896034107416965, 376617443005448, 11292163159566352770849552500, 10083, 20425781884622802608366410216755865703966518358, 794457583679600511354933101462177344327198787260, 146517063297696291207483803773896842815580898685, 11, 631554481003390284431124633699, 12804754636402563, 12972960007, 1060180981351245321735916038031019489033232484, 62239692364487069413130793508324577887394201624, 1582831606017327048311126348741464276949226248, 1582831614437478157850898650311861774240629870, 26830174378709964434834524746260], 'label': '12383472844800000000.a.48._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982169
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [79855149749053206528000, 958003200, 27527506182479226267482628687377596416000000, 21777738900836704321536000000, 17366635237623772991036388802560000029, 86400, 111, 1582831605491029680326337651881803776000000000, 25, 79855143325756710912000, 62790241602174586101293498851172076748800000000, 19678982400, 53952034933325168640000, 62763086401918385051778940446991716333067222330, 361686124800, 17637988913211644444021332377600000000, 925553903285559933665280000000, 3, 885961527955746116073023046942720000000, 81591901516677561241094797500166696853735664042, 79855635952844623872000, 1537920, 6266937600, 609776689223427721003008000000, 753138799315051221476327682121314363738540595888, 526261673867387060334436024320000029, 81, 10080, 9146650338351415815045120000000, 193077561600, 187326965039520807549538427763276142326679346445, 20, 2248001455555215360000, 1267872820933141463040000, 121680, 373680, 710689102363829932858018342576937112940920176745], 'label': '12383472844800000000.a.48._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982170
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [79855149749053206528000, 61730804607476947433944636422838498099200000026, 21777738900836704321536000000, 1189877644614162143416159850987520000000, 774045939079174812524258680430787163471793492361, 79855143325756710912000, 690828378655192184585590595853819648131094865266, 20921286434409816062495502123856837863441763846, 62763086401918385051778940446991716333067222330, 9217829277284991371622292783104000000, 1269047912603090780201040, 61207782285514508489321177521507288261814281751, 35682825189020940030836736000000, 4, 271353675587871452984943575040000000, 19160064000, 26058175695089837409372308766720000000, 131760, 27527506182452690092631959163161804800000000, 1175091669949317161040, 78680050944432537641040, 5760, 29, 1496880, 1181202576664178760674279106281472000000, 79855635952844623872000, 518918400, 363600, 1941149256871928463360000, 41040, 631554428124264425324544000000, 41346686279370730420350670662517181644800000026, 631554428124264425324544000020, 550922116975843703070107182711386931200000026, 268719897600, 88176211200], 'label': '12383472844800000000.a.48._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982171
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [51704162236987317036720, 271353991365164195174858738208374962, 1175111232770835370099, 16, 11292160911564897215634227823, 17999303116889873955387521288895, 315777216310134379599049706163, 62763086401918385051778940446991716333067222330, 250696831515793516498547138380816287901565986495, 121696, 1569439846252881762316968439763462910726270016, 13181357629440015, 14135746944304772083289723075468960258867768, 4, 958129223, 1073572767428738618274213214768398831872519846, 41842181694842349807980956910182289662223266633, 20398254977852397063005026031297289873444406414, 21994849754652372333983026646124651777459129715, 26841466488990366137490625473165, 83160968188409272435202552973193896034107416965, 376617443005448, 11292163159566352770849552500, 10083, 794457583679600511354933101462177344327198787260, 20425781884622802608366410216755865703966518358, 146517063297696291207483803773896842815580898685, 11, 631554481003390284431124633699, 12804754636402563, 12972960007, 1060180981351245321735916038031019489033232484, 62239692364487069413130793508324577887394201624, 1582831606017327048311126348741464276949226248, 1582831614437478157850898650311861774240629870, 26830174378709964434834524746260], 'label': '12383472844800000000.a.48._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982172
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [61194019122625749386546965716234261065550676357, 12973046415, 711374856272644, 18315078469555722830564650105696, 19, 81605664982956158254665928491230765508585195600, 1060180990569038894418574084255524613880953788, 1189622763457349736123955262555530617638, 8946449065522269249119557081335853928, 81605664071479143356413481571189112895715374212, 250683068040305358158531331669357704505551584704, 27527506182461542743523300411833446166537623, 62763086401918385051778940446991716333067222330, 25903107681057644854320, 41842181694842349807980956910182289662223266633, 21994849754652372333983026646124651777459129715, 1175105186420816931851, 523394619739857457538732753526127446958090170, 1060181007935673838042302045626710540973168660, 126003, 3, 19939774182461287, 11292163159565976422126556243, 52879138329089872800000, 5780, 19562808545366408, 146517064183131549268256360822290403521859345905, 526288525819454039992696662801408004, 62239692364487069413130793508324577887394201624, 915068351199376579571638403775, 773550442107462560921605156210281985150001306845, 61194018245865587041964265803419789196821626739], 'label': '12383472844800000000.a.48._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982173
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [26851952064731656428453888000000, 53952034933325168640000, 187768627200, 82142450441765617137631234142322976358400000000, 599412046534953861720922631700480000000, 372049049788416000, 847440, 774582353116661471045504522803340283994715372140, 1887197221938603294720000, 794443446993491658607120045362485960838538677016, 754184840908440112688203757536760588831538273758, 180623520000, 295241021878258318770436335206400000000, 48, 486957011853312000, 9767719188486388493844480000000, 550922116975843703070107182711386931200000000, 1093680, 82], 'label': '12383472844800000000.a.48._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982174
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 48, 'diagramx': None, 'generators': [79855149749053206528000, 61730804607476947433944636422838498099200000026, 21777738900836704321536000000, 1189877644614162143416159850987520000000, 79855143325756710912000, 690828378655192184585590595853819648131094865266, 20921286434409816062495502123856837863441763846, 62763086401918385051778940446991716333067222330, 9217829277284991371622292783104000000, 1269047912603090780201040, 35682825189020940030836736000000, 4, 271353675587871452984943575040000000, 19160064000, 26058175695089837409372308766720000000, 131760, 27527506182452690092631959163161804800000000, 20948804224231472524118659154237761644134340595, 1175091669949317161040, 78680050944432537641040, 5760, 29, 1496880, 79855635952844623872000, 1181202576664178760674279106281472000000, 518918400, 363600, 1941149256871928463360000, 41040, 631554428124264425324544000000, 186790177130657886396019705756397243407281290052, 41346686279370730420350670662517181644800000026, 631554428124264425324544000020, 550922116975843703070107182711386931200000026, 268719897600, 88176211200], 'label': '12383472844800000000.a.48._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '48.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '48._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982175
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [26830174325830819724487771187204, 12972960003, 523394610793391012977475223548225126400000000, 62790242792323602706123791844660171407572833271, 1189877644614162143416159850987520000000, 13181357629440000, 81619428423711080255641858653831805428668868597, 7, 1093680, 61730804607476947433944636422838498099200000000, 355419187203, 17637988913211644444021332377600000000, 6706022403, 62253455848666794724208350833867213105363445747, 209887675888866991756375665041989648691837639027, 126000, 19228043907072000, 3, 1060180981351218469783798427229880320000000000, 526261673867387060334436024320000000, 28151109136611901440000, 5760, 1496880, 8863943024101665264500736000000, 518918403, 180623520000, 711374856192000, 1888372313608552611840000, 372002273265819095119344958163543749950041, 1175091669949317120000, 709670956628660863562326907817363309101412872248, 493338462769152000, 18010593362453081079814136812803, 14135746418016246263783979029731737600000000, 732726778141116027071624312370545239555043847109, 107, 249713497313280000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 621068850134972678799360000000], 'label': '12383472844800000000.a.12._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982176
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [14135772731118254711552599419867365376000056, 13516141427798423, 14135746944278247200599965569610363901791475, 1046045234933220234113376901281228128256000000, 2248008590233792195215, 376610218074720, 41346686297263627637134113087153702801544348128, 1569439871784804614414430326640753505431202563, 1569439871784804309929351272946549880470845443, 122377416775971843, 61716669468891200786636304913374319239013358663, 61221546064647455726871145303192068390338025673, 79855392327879168010096, 27528704480284401911424474701338291069032986, 526262000936814913636515961998218171, 609776717375030572688415545523, 26313084608437731192249941617839850916, 550922116975844018858274310793083725827939284, 518959440, 26313083998661068944724109779368796808, 62762714408599808842163857226354384730326651554, 2248014971678001926403, 86415, 936846090100340996602650634099, 372049057013488560, 5775, 20935041330788716956248860912108681027113703699, 165882665426147255080673884038133510676944559280, 41043, 271353686882516406266714243684259856, 82637946456649309280613615562329924457968652153, 8946448477523371805653688025728977204, 11292240767059286470581994800, 20, 26976152272210286826255, 12804747411587760, 250424879394534503, 14135773002453930998895787797966708443447043], 'label': '12383472844800000000.a.64._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982177
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [958003200, 19562808545285771, 1888372333547971375155127, 523394619484932385514374882868401819476114029, 1569439871784804614414430326640753505431202563, 1569439871784804309929351272946549880470845443, 376617443005444, 21457691381829547663460024653963608480483125802, 61716669468891200786636304913374319239013358663, 41332551722575459958398212244171762085189651103, 526261673867388235439287350945542408, 6706022423, 17366636152693986659624607804736416111, 210396934431688296307218091968021432913329459111, 550922116975844018858274310793083725827939284, 3, 536786388195816675311493166145320219788134503, 2248014636919111828324, 86415, 1269047932542522955549448, 27527532495545551891949425487468652634039053, 11, 10091, 1060181007935656470297958717929180584749260783, 1046045260991377940387590758550390852071577020, 327071883743321509511141074671, 14135773002454225000205368891616306475981390, 1060180981351219079561754450582264980840534411, 165882665426147255080673884038133510676944559280, 20935041330788716956248860912108681027113703699, 519040087, 1582831605491029702104076552731689467619607696, 21471826833006541116397162318408316871747301216, 1582831605491029680328845348609933925165335616, 35694117428612548737819743169239, 21779628346066521783766727535], 'label': '12383472844800000000.a.64._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982178
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [550922134613842090001464951826416206122622728, 1189622736615885135505532107237009422720, 121683, 2248021018382481624967, 41346686305683814429497935745843085010561570659, 327069403124805535220810915776, 1046045252571209136033533710693638201989187135, 52879125524335755402244, 19160109383, 193077561659, 81619058541525646796045072483381266453588835970, 40823292858463225480560267634005711884170470489, 4, 20920904724977129100615760129877402404919257459, 10084, 61221546064647455726871145303192068390338025673, 1582831605491029985618025428768929321844700244, 26313083704661591535427145977261747223, 77607160721642409590892, 21777738900843127624737648487, 629634731525909679619733652275435957977409243622, 13181377308513131, 61716668887372015817896271905656477509372373619, 26313083704661566807405422853890169687, 958013284, 82665473077125151137709005625529225709767966702, 90728, 27527506182453605160983158558593078408223939, 271353675590379149706692447647086724, 62762715303236449555589335995466183090077356685, 376610736943460, 45364, 550922143288927712216675436657071114728083136, 1569439871784778078237742988836406837312648998, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.64._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982179
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [550922134613842090001464951826416206122622728, 1189622736615885135505532107237009422720, 121683, 2248021018382481624967, 41346686305683814429497935745843085010561570659, 327069403124805535220810915776, 1046045252571209136033533710693638201989187135, 52879125524335755402244, 19160109383, 193077561659, 81619058541525646796045072483381266453588835970, 40823292858463225480560267634005711884170470489, 4, 20920904724977129100615760129877402404919257459, 10084, 61221546064647455726871145303192068390338025673, 1582831605491029985618025428768929321844700244, 26313083704661591535427145977261747223, 77607160721642409590892, 21777738900843127624737648487, 13181377308513131, 61716668887372015817896271905656477509372373619, 26313083704661566807405422853890169687, 958013284, 82665473077125151137709005625529225709767966702, 629620968050947748207602112616593201606172812715, 90728, 27527506182453605160983158558593078408223939, 271353675590379149706692447647086724, 62762715303236449555589335995466183090077356685, 376610736943460, 45364, 550922143288927712216675436657071114728083136, 1569439871784778078237742988836406837312648998, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.64._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982180
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1583204493470915434709483041755907806625290345, 1175105186333159639077, 894653068413213498995668883201052672000, 1175104851307465610215, 599157156547268407746563129717573203252, 699179543620105700275203, 376622672147299, 126007, 82665101066176809463712662122587216439272352033, 550922134613832943351154752019122922388531123, 271353686880032364536324674154594640, 12973046400, 14135764056005181253194299924797927544623447, 536786370557837224528020459694548832779557760, 689768569954243490248545009667149420920912216424, 4, 82651709610320266230272886248630171938659334339, 1582831631804140813646759675270502759119216652, 958003212, 13181358587574968, 609776716199452322344169194894, 536786370557827762097959276522121699080198320, 8, 61207411517893826747548163662595632754081471924, 711375375201216, 21777741148844583173247027143, 52879144375776589607627, 6423302762604740, 17637989522988359570557111048470112663, 10095, 81619056742720603540256174491167029150291875287, 20, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.64._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982181
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [1583204493470915434709483041755907806625290345, 1175105186333159639077, 894653068413213498995668883201052672000, 1175104851307465610215, 599157156547268407746563129717573203252, 699179543620105700275203, 376622672147299, 126007, 82665101066176809463712662122587216439272352033, 550922134613832943351154752019122922388531123, 271353686880032364536324674154594640, 12973046400, 14135764056005181253194299924797927544623447, 536786370557837224528020459694548832779557760, 4, 82651709610320266230272886248630171938659334339, 1582831631804140813646759675270502759119216652, 958003212, 13181358587574968, 609776716199452322344169194894, 536786370557827762097959276522121699080198320, 8, 61207411517893826747548163662595632754081471924, 689782333429205422270455743997543996085240674593, 711375375201216, 21777741148844583173247027143, 52879144375776589607627, 6423302762604740, 17637989522988359570557111048470112663, 10095, 81619056742720603540256174491167029150291875287, 20, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.64._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982182
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [20935042877777567875977554666927122569394676357, 1181202549855782253599452217249765244259, 61716670068566342802360140097057463082492573318, 550922143560290850232152080639113882294028259, 1073573054249600250427733721426647112286595784, 526261673867465740391803946431513456, 16, 17366635237625713067511899564437817531, 17366635237623801142158330250050690526, 550922117247197999726881649814096625215912983, 5763, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 26058175716867630262244323385328754564, 61221546933250571578049811306688254211512962400, 27527506182452711870449540057945585644600964, 1175098428117268391528, 11292186814659396920878012823, 83174360538113054126537557185415058317216530548, 13181370602526012, 526261673867441012382174096900222016, 78680051321061476604255, 9217802131333478455053490531112418483, 5780, 958008979, 11292162086637339120525398412, 711375814240579, 21471826815911250713002584302566801911623836170, 86403, 1073572758482290173014185275267051631183502180, 925553903285579496741587265143, 894653068413212180491358966926040144644, 62776478162217296229521323624572840620125178189, 1175104851326625593540, 19160185695, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.64._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982183
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [20935042877777567875977554666927122569394676357, 1181202549855782253599452217249765244259, 61716670068566342802360140097057463082492573318, 550922143560290850232152080639113882294028259, 1073573054249600250427733721426647112286595784, 526261673867465740391803946431513456, 16, 17366635237625713067511899564437817531, 17366635237623801142158330250050690526, 550922117247197999726881649814096625215912983, 5763, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 26058175716867630262244323385328754564, 61221546933250571578049811306688254211512962400, 27527506182452711870449540057945585644600964, 1175098428117268391528, 11292186814659396920878012823, 13181370602526012, 526261673867441012382174096900222016, 78680051321061476604255, 9217802131333478455053490531112418483, 5780, 958008979, 11292162086637339120525398412, 711375814240579, 21471826815911250713002584302566801911623836170, 86403, 1073572758482290173014185275267051631183502180, 41855573167785985890519882754734582990160863869, 925553903285579496741587265143, 894653068413212180491358966926040144644, 62776478162217296229521323624572840620125178189, 1175104851326625593540, 19160185695, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.64._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982184
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [550922134613842090001464951826416206122622728, 1189622736615885135505532107237009422720, 121683, 2248021018382481624967, 41346686305683814429497935745843085010561570659, 327069403124805535220810915776, 1046045252571209136033533710693638201989187135, 52879125524335755402244, 19160109383, 193077561659, 81619058541525646796045072483381266453588835970, 40823292858463225480560267634005711884170470489, 40823293511333492466530279313672028167038950958, 4, 20920904724977129100615760129877402404919257459, 10084, 61221546064647455726871145303192068390338025673, 1582831605491029985618025428768929321844700244, 26313083704661591535427145977261747223, 77607160721642409590892, 21777738900843127624737648487, 13181377308513131, 61716668887372015817896271905656477509372373619, 26313083704661566807405422853890169687, 958013284, 82665473077125151137709005625529225709767966702, 90728, 27527506182453605160983158558593078408223939, 271353675590379149706692447647086724, 27899803425359881283039518846343646217949373, 62762715303236449555589335995466183090077356685, 376610736943460, 20934668469130129512795321341005274289430765920, 45364, 550922143288927712216675436657071114728083136, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.64._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982185
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [20935042877777567875977554666927122569394676357, 1181202549855782253599452217249765244259, 61716670068566342802360140097057463082492573318, 550922143560290850232152080639113882294028259, 1073573054249600250427733721426647112286595784, 526261673867465740391803946431513456, 16, 17366635237625713067511899564437817531, 17366635237623801142158330250050690526, 550922117247197999726881649814096625215912983, 5763, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 26058175716867630262244323385328754564, 61221546933250571578049811306688254211512962400, 27527506182452711870449540057945585644600964, 1175098428117268391528, 11292186814659396920878012823, 83174360538113054126537557185415058317216530548, 13181370602526012, 526261673867441012382174096900222016, 78680051321061476604255, 9217802131333478455053490531112418483, 5780, 958008979, 11292162086637339120525398412, 711375814240579, 21471826815911250713002584302566801911623836170, 27899803425359881283039518846343646217949373, 86403, 1073572758482290173014185275267051631183502180, 925553903285579496741587265143, 894653068413212180491358966926040144644, 1175104851326625593540, 19160185695, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.64._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982186
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [145484782692606254845417493072559426804082863344, 147054231073490885085114396402160758206653514777, 83174361111483352948893140351762665315023919448, 62790242792323602706123791844660171407572833271, 16, 35682825189020940030836736005783, 526261989645249670887287759800611847, 21777790604870893485066531840, 17892896911491214003412181710558211843, 1569439871784804614414430326640753505431202563, 26584438000512919393895499021751280660, 10087, 26841466486742364681929222928565, 1060181007664302490223200869169977214895263927, 4, 42364832040844679201609129902425071576375448998, 376611176118972, 1060180990042759864097841215922901760040544575, 17637989218505142986445487337979831615, 17637989850057708641126935227061162083, 526262588935740507712471152131676256, 1582831927308275867097027535586161491561001004, 2248002166930071552019, 321554106192696600602188894331917157768, 27528687385003439166012598645924769049645360, 20398254665261221013258219019884487921826643767, 19679033524, 27899803425359881283039518846343646217949373, 321282751907333822642015004189769692259, 21777738900837415702659216011, 12454051784, 20934668469130129512795321341005274289430765920, 78680051321055209666640, 958008971, 327069452580818329298675526480], 'label': '12383472844800000000.a.12._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982187
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [20935042877777567875977554666927122569394676357, 1181202549855782253599452217249765244259, 61716670068566342802360140097057463082492573318, 550922143560290850232152080639113882294028259, 1073573054249600250427733721426647112286595784, 526261673867465740391803946431513456, 16, 17366635237625713067511899564437817531, 17366635237623801142158330250050690526, 550922117247197999726881649814096625215912983, 5763, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 26058175716867630262244323385328754564, 61221546933250571578049811306688254211512962400, 27527506182452711870449540057945585644600964, 1175098428117268391528, 11292186814659396920878012823, 13181370602526012, 526261673867441012382174096900222016, 78680051321061476604255, 9217802131333478455053490531112418483, 5780, 958008979, 11292162086637339120525398412, 711375814240579, 21471826815911250713002584302566801911623836170, 61207410023259779803923632585420860798827400349, 86403, 40823664860473323538162663188295252734205985868, 1073572758482290173014185275267051631183502180, 41855573167785985890519882754734582990160863869, 925553903285579496741587265143, 894653068413212180491358966926040144644, 1175104851326625593540, 19160185695], 'label': '12383472844800000000.a.64._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982188
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [20935042877777567875977554666927122569394676357, 1181202549855782253599452217249765244259, 61716670068566342802360140097057463082492573318, 550922143560290850232152080639113882294028259, 1073573054249600250427733721426647112286595784, 526261673867465740391803946431513456, 16, 17366635237625713067511899564437817531, 17366635237623801142158330250050690526, 550922117247197999726881649814096625215912983, 5763, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 26058175716867630262244323385328754564, 61221546933250571578049811306688254211512962400, 27527506182452711870449540057945585644600964, 1175098428117268391528, 11292186814659396920878012823, 13181370602526012, 526261673867441012382174096900222016, 78680051321061476604255, 9217802131333478455053490531112418483, 5780, 958008979, 11292162086637339120525398412, 711375814240579, 21471826815911250713002584302566801911623836170, 86403, 40823664860473323538162663188295252734205985868, 1073572758482290173014185275267051631183502180, 41855573167785985890519882754734582990160863869, 925553903285579496741587265143, 894653068413212180491358966926040144644, 1175104851326625593540, 19160185695, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.64._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982189
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [20935042877777567875977554666927122569394676357, 1181202549855782253599452217249765244259, 61716670068566342802360140097057463082492573318, 550922143560290850232152080639113882294028259, 1073573054249600250427733721426647112286595784, 526261673867465740391803946431513456, 16, 17366635237625713067511899564437817531, 17366635237623801142158330250050690526, 550922117247197999726881649814096625215912983, 5763, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 26058175716867630262244323385328754564, 61221546933250571578049811306688254211512962400, 27527506182452711870449540057945585644600964, 1175098428117268391528, 11292186814659396920878012823, 13181370602526012, 526261673867441012382174096900222016, 78680051321061476604255, 9217802131333478455053490531112418483, 5780, 958008979, 11292162086637339120525398412, 711375814240579, 21471826815911250713002584302566801911623836170, 61207410023259779803923632585420860798827400349, 27899803425359881283039518846343646217949373, 86403, 40823664860473323538162663188295252734205985868, 1073572758482290173014185275267051631183502180, 925553903285579496741587265143, 894653068413212180491358966926040144644, 1175104851326625593540, 19160185695], 'label': '12383472844800000000.a.64._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982190
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [20935042877777567875977554666927122569394676357, 1181202549855782253599452217249765244259, 61716670068566342802360140097057463082492573318, 550922143560290850232152080639113882294028259, 1073573054249600250427733721426647112286595784, 526261673867465740391803946431513456, 16, 17366635237625713067511899564437817531, 17366635237623801142158330250050690526, 550922117247197999726881649814096625215912983, 5763, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 26058175716867630262244323385328754564, 61221546933250571578049811306688254211512962400, 27527506182452711870449540057945585644600964, 1175098428117268391528, 11292186814659396920878012823, 13181370602526012, 526261673867441012382174096900222016, 78680051321061476604255, 9217802131333478455053490531112418483, 5780, 958008979, 11292162086637339120525398412, 711375814240579, 21471826815911250713002584302566801911623836170, 61207410023259779803923632585420860798827400349, 86403, 1073572758482290173014185275267051631183502180, 41855573167785985890519882754734582990160863869, 925553903285579496741587265143, 894653068413212180491358966926040144644, 62776478162217296229521323624572840620125178189, 1175104851326625593540, 19160185695], 'label': '12383472844800000000.a.64._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982191
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [20935042877777567875977554666927122569394676357, 1181202549855782253599452217249765244259, 61716670068566342802360140097057463082492573318, 550922143560290850232152080639113882294028259, 1073573054249600250427733721426647112286595784, 526261673867465740391803946431513456, 16, 17366635237625713067511899564437817531, 17366635237623801142158330250050690526, 550922117247197999726881649814096625215912983, 5763, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 26058175716867630262244323385328754564, 61221546933250571578049811306688254211512962400, 27527506182452711870449540057945585644600964, 1175098428117268391528, 11292186814659396920878012823, 83174360538113054126537557185415058317216530548, 21980714590024859386770433938684199603243289572, 13181370602526012, 526261673867441012382174096900222016, 78680051321061476604255, 9217802131333478455053490531112418483, 5780, 958008979, 11292162086637339120525398412, 711375814240579, 21471826815911250713002584302566801911623836170, 86403, 1073572758482290173014185275267051631183502180, 925553903285579496741587265143, 894653068413212180491358966926040144644, 62776478162217296229521323624572840620125178189, 1175104851326625593540, 19160185695], 'label': '12383472844800000000.a.64._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982192
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [61716670068566342802360140097057463082492573318, 1073573054249600250427733721426647112286595784, 710179843785995799915473264016738889196391811782, 14135773002454246775515253071409100972902407, 1060180998989208308549372059925250734782755855, 7134671351894411, 8691541372535657587668707231630240036, 7, 13516134721815615, 1060182188866878849514262108389143625759018160, 41044, 20920904698664045080177032139478807340512153535, 83188498387786751364347643441849506802937548844, 14135755109557618800656662339576600906014073, 40795764171612689774167998099179410230888278899, 10084, 11292186814652638866450250812, 526261695645178840296288071832503052, 61207410005901394834417560408553911033379050291, 126003, 3, 61744568968408666216594777918899446904930522805, 17637988913211723124072276823549776567, 21777738900855932365962031448, 1206989408146108979297039953779589427348, 13516122786652803, 1175111232758381328487, 78680051321043713677935, 26313083693369406968776297362687731780, 26584438284025602645113261027714903051, 62776478162217296229521323624572840620125178189, 20920904707881846623513394691853912014028973380, 711375375232091, 14135755109556725507665978266816597780362180, 519009120], 'label': '12383472844800000000.a.64._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982193
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [61716670068566342802360140097057463082492573318, 1073573054249600250427733721426647112286595784, 710179843785995799915473264016738889196391811782, 14135773002454246775515253071409100972902407, 1060180998989208308549372059925250734782755855, 7134671351894411, 8691541372535657587668707231630240036, 7, 13516134721815615, 1060182188866878849514262108389143625759018160, 41044, 20920904698664045080177032139478807340512153535, 83188498387786751364347643441849506802937548844, 14135755109557618800656662339576600906014073, 40795764171612689774167998099179410230888278899, 10084, 11292186814652638866450250812, 526261695645178840296288071832503052, 61207410005901394834417560408553911033379050291, 126003, 3, 17637988913211723124072276823549776567, 21777738900855932365962031448, 1206989408146108979297039953779589427348, 13516122786652803, 1175111232758381328487, 78680051321043713677935, 26313083693369406968776297362687731780, 26584438284025602645113261027714903051, 41855573167785985890519882754734582990160863869, 62776478162217296229521323624572840620125178189, 20920904707881846623513394691853912014028973380, 711375375232091, 14135755109556725507665978266816597780362180, 519009120], 'label': '12383472844800000000.a.64._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982194
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [631554505731424812208503651143, 376617442934903, 912274611649115469089879653875551081520, 1073573054249600250427733721426647112286595784, 2248001455573936380259, 12454173364, 1060180981351218481076011042828255666755445683, 958134983, 536786396616021162490789866552711042763763875, 51131, 1596968532840260378308656573299294277148349376, 14135764056005475252644733203960744987788804, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 523394619739840405569121694346742799402797932, 271353697365610353834829260911543059, 27527506453806975457193810667496332684170164, 21777740075948313689616505683, 925553903285566691733119897531, 41855945751849692484375167279899274234776921548, 82637574741180468879191426217892992680295330514, 1582831900732051863876941043578532805826471831, 26313084630215419461848087657877612735, 629620968050947748207602112616593201606172812715, 621068850134972678811814082660, 10103, 27527523549088853270310483780168046638064575, 13181364335507780, 40823664860473323538162663188295252734205985868, 1060180981351218469783876034371416112277337708, 20, 523395514392908807489218881301576139583870772, 1046045530700512301335666235646086027359205801, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.64._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982195
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [631554505731424812208503651143, 376617442934903, 912274611649115469089879653875551081520, 1073573054249600250427733721426647112286595784, 2248001455573936380259, 12454173364, 1060180981351218481076011042828255666755445683, 958134983, 536786396616021162490789866552711042763763875, 51131, 1596968532840260378308656573299294277148349376, 14135764056005475252644733203960744987788804, 1060182188866878849514262108389143625759018160, 83188498387786751364347643441849506802937548844, 4, 523394619739840405569121694346742799402797932, 271353697365610353834829260911543059, 27527506453806975457193810667496332684170164, 83174360538113054126537557185415058317216530548, 21777740075948313689616505683, 925553903285566691733119897531, 41855945751849692484375167279899274234776921548, 82637574741180468879191426217892992680295330514, 1582831900732051863876941043578532805826471831, 26313084630215419461848087657877612735, 621068850134972678811814082660, 10103, 709643429409027892598333002986951090717286905666, 27527523549088853270310483780168046638064575, 13181364335507780, 1060180981351218469783876034371416112277337708, 20, 523395514392908807489218881301576139583870772, 1046045530700512301335666235646086027359205801, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.64._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982196
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [28151109513240840454340, 1582831631804113384990335621879328712791807993, 14135746689369943629421309355803396272498060, 14135746418016268041525127880696375174911931, 62790242792323602706123791844660171407572833271, 12972965775, 41869336921148565922447551850421519912267922592, 14135764056005475252696437231726225866342397, 523394637106474717639066758962566269111997451, 6267063604, 7, 1046045243879650679265594473905500694819321747, 82114552140562429695681381502847795598210011604, 609776769078571046778879021364, 2248001832185112452407, 52879125524348209414335, 21777816507977863167335550015, 1073572750333457960014450158325743488268067203, 550922116975844018858274310793083725827939284, 1569440158334250657673727451264213913799506598, 376611175997296, 305291690024894627506682752103, 61207410604515825104858841916185099731271749767, 14135746418016257555996594608543914642233535, 83174360538113054126537557185415058317216530548, 3, 1060180981351219101338278255541299536764973364, 271354002657248674676374336809866160, 23, 958089611, 14135764056022854291576814505739444327493732, 10080, 80648, 165882665426147255080673884038133510676944559280, 523394610793391938531458364514002812275712078], 'label': '12383472844800000000.a.64._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982197
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1046045252299837766435423512333098738040511328, 81605664071734078816422295099115253813855074001, 52879145087145258691220, 315777242213241725897803520035, 28151115894686008265060, 145484782692606254845417493072559426804082863344, 711394016377703, 147054231073490885085114396402160758206653514777, 62790242792323602706123791844660171407572833271, 271353980879507525838591076982744404, 1046045243879686046313647039853766315318480602, 1569439871784804614414430326640753505431202563, 518963776, 7, 27527524075349928653169232591084992762172165, 78680064460555325743923, 21777790604889410148809899456, 17892896933268900127299575901988211056, 1175098093246331705535, 376610218070416, 42364832040844679201609129902425071576375448998, 13516134721734983, 17366635542915411311897538539729564186, 126000, 12804747930455059, 83174360538113054126537557185415058317216530548, 3, 1582831927308275867097027535586161491561001004, 5775, 20398254665261221013258219019884487921826643767, 14135746689370553406084731371147215440809064, 925553929188667991351344501691, 20948432205372758856138126739851937242754634992, 61744197574230792013398046854313200197501256979, 20934668469130129512795321341005274289430765920], 'label': '12383472844800000000.a.12._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982198
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [2248001455555734284179, 1046045261246286243960630810919863493443221798, 925553929188680796080553568580, 271354002657326281811486489625630012, 13181370083522660, 1046045235459491054633662786690067975820318016, 251192699193232071903635416749837913269645335011, 26313083693369353016735317344973676168, 7, 81605664974807316023503059181459375145861517393, 5763, 295495956412715193817197672688178268832, 4, 21777738900843127631004707783, 550922116975844018858274310793083725827939284, 25903127620830870023783, 14135772731100876479254071982283528079571200, 711381123251280, 78680070507253537012336, 14135764056005780546814303679125319753733867, 17892897826559487595653983650725991056, 20398254665261221013258219019884487921826643767, 1046045235204556214887608732948462520347693454, 18721059844, 121687, 165882665426147255080673884038133510676944559280, 518928492, 20934668469130129512795321341005274289430765920, 1198297849994632726764330840685777887881, 21994478646769107530121860716005676998342956180], 'label': '12383472844800000000.a.64._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982199
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [271353675587951308127558057006140812, 78680051321061476653928, 186810750019, 62790242792323602706123791844660171407572833271, 303916116658416027343136804044801492605, 1583204493462666082059677367257254935895155213, 62240064661475085342230308011805663643780393540, 41869709496512527208189720440226764662742556270, 53952042068352458640012, 4, 1073572767700093197638276028481568168452304640, 14136641071094415904311622337070844587400815, 262013965928, 11292238518686828104225829764, 711388268282183, 27527532766890080827672936866997788441476412, 10083, 550922116975844312847496659091898900275100163, 27527506708714973736709418401507989322579211, 958008964, 19160185683, 1582832804315123066011277404001964326821976420, 1060180981622572145371749735377001453832278964, 9217802131333451478677114068773978736, 41060, 165882665426147255080673884038133510676944559280, 20425782171172284944237993460002243294363354888, 42378596071802051654626222469210711188163894888, 1175092046908767238336, 6267024000, 523394628160026577670624363360589364191765135, 51124, 67, 523394628160026272379066970570691048464778180], 'label': '12383472844800000000.a.64._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982200
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [1060180981351218469783851306355028045537459295, 52879131905786671206983, 7134671351939772, 270544163759891386561460786358159373334445503956, 1596967351909046547658971765884590941898973280, 1596967360600621751104162183403038550289567372, 14135746418016257555997769699837254180413292, 523394610793391318269112471500300650728569683, 90735, 1046045243879651594333998450223920632061186568, 10087, 41044, 41332551427334438374139990156713101375386499865, 18721110968, 26058175716868870086509341584529468180, 42378596662793928807702862782917896006709596830, 523394636851567035136741558645819035500209304, 21777817580888360142341842567, 1046046441922600602717550397729294274204617040, 519044400, 536786388450724695368150829938643878354709878, 536786388450724390075250307363988565763823526, 21994477752905430713449664741916774749413884784, 1073572741641917208548963457825844340665175092, 10080, 165882665426147255080673884038133510676944559280, 12454086968, 19562815770352563, 20934668469130129512795321341005274289430765920, 90720, 773550442107462560921605156210281985150001306845, 526262283644153890923255285184716732, 376629378053771], 'label': '12383472844800000000.a.64._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982201
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [19160105056, 270544163759891386561460786358159373334445503956, 958013280, 86400, 14135746689370227143293752869401772033798403, 915068405151430029573082732816, 13412176571, 376610217984000, 4, 52879131905787629164804, 2248014971684189036167, 271353675587950133055116052003596168, 9217802131333503182723773196875567451, 550922707967704087701471935630919302523949980, 1569439854673041997534784450325196785789871526, 19228057319197456, 11292213790670816897703542892, 12804753678525367, 19160185683, 61730805510550211797464975504134132223165470752, 26830174999107262797603159631200, 376610736943440, 40809899909084256966201673741126835442710762237, 10080, 165882665426147255080673884038133510676944559280, 1569439863093228779412978590787782461520116384, 1060181007664302468447271558419764404324499846, 41855573167785985890519882754734582990160863869, 1582831606017292279747629173009407018524359636, 26313083715147144796684364644116639360, 20934668469130129512795321341005274289430765920, 17999301874817972060543210464080, 1060180999244115686566648503495332654001720964, 773550442107462560921605156210281985150001306845, 17892897521267875177925789702344310892, 1060181007409394164873714516672696334508908253], 'label': '12383472844800000000.a.64._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982202
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [1582832499872744723242360370250256838138970802, 270544163759891386561460786358159373334445503956, 19, 51704040235831087145044, 21777765876860594300294959451, 599157138863743722262349114331011856521, 1596967959741279548716347063142544402285796544, 894653068424504421258059343839204204164, 14135746944287698335965666282303599162708343, 12804753678403695, 894907977021268386497349851103028483751, 1596967369275699153030836678137636233827232067, 41332551427334438374139990156713101375386499865, 1596968532840260683599000045059525877449752323, 27528400564168059271370297137281998629149360, 4, 7225031539, 925553903285560645046403129616, 518959440, 21980713695906293463602068325732530198912435208, 80651, 1596968246290778957515755921024073646326268194, 2248001455573936380244, 19228051132103523, 14135746944278856977235236488998649540291281, 271354601141774738545588615176323779, 711375375232095, 12, 165882665426147255080673884038133510676944559280, 62267591299843788765949834797908860836798850605, 20934668469130129512795321341005274289430765920, 773550442107462560921605156210281985150001306845, 5776, 79855149372455961584659], 'label': '12383472844800000000.a.64._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982203
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [518924175, 271353686880112219685697130036304643, 711375375232092, 270544163759891386561460786358159373334445503956, 41346686297008720270408456910784564660343667129, 1242072394521590215594083, 550923029250473961264710182711580291135910288, 82142450450712066530222905341137170211713532263, 1569441044550686611698117059261794468606379605, 41319158791081174641749198754737649420558393708, 17366635259401538867897317861226275207, 3, 550922143034019703451659345347155336494201710, 126023, 1059809595856689020866288218204926470410683594, 2248014636913363840091, 19562808545290096, 82142450468350055116365149010549488724437226244, 526261673867387060821727800812377614, 61730805510550211797464975504134132223165470752, 13516128973680503, 14135746418016268041548782993345173141196811, 165882665426147255080673884038133510676944559280, 80663, 25903127243883952390327, 61730804634061384824679679648544501031554099127, 15, 20934668469130129512795321341005274289430765920, 773550442107462560921605156210281985150001306845, 51704053040578498646404, 11292187887575605836244742408, 5776], 'label': '12383472844800000000.a.64._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982204
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [550922134613842090001464951826416206122622728, 1189622736615885135505532107237009422720, 121683, 2248021018382481624967, 41346686305683814429497935745843085010561570659, 710193606679438581083879185069331756030496998475, 327069403124805535220810915776, 1046045252571209136033533710693638201989187135, 52879125524335755402244, 19160109383, 193077561659, 81619058541525646796045072483381266453588835970, 40823292858463225480560267634005711884170470489, 4, 20920904724977129100615760129877402404919257459, 10084, 61221546064647455726871145303192068390338025673, 1582831605491029985618025428768929321844700244, 26313083704661591535427145977261747223, 77607160721642409590892, 21777738900843127624737648487, 13181377308513131, 61716668887372015817896271905656477509372373619, 26313083704661566807405422853890169687, 958013284, 82665473077125151137709005625529225709767966702, 90728, 27527506182453605160983158558593078408223939, 271353675590379149706692447647086724, 27899803425359881283039518846343646217949373, 62762715303236449555589335995466183090077356685, 376610736943460, 45364, 550922143288927712216675436657071114728083136, 1569439871784778078237742988836406837312648998], 'label': '12383472844800000000.a.64._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982205
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 32, 'diagramx': None, 'generators': [925553904460651603615555254960, 13181357629440119, 958003200, 19, 1888372313608559318629200, 590465598079208281695237219287040000000, 766800, 74, 26830174325830819724151513556560, 21779627273150312886603016320, 2248001455561483794480, 52879125147894586482480, 82114922935583164447540490555960003520821267114, 536786370557827456807591076502588347517848400, 4, 26841466512645472363160267032320, 13412044800, 271353675587871452984943575040000000, 41842181694842349807980956910182289662223266633, 13412050560, 81605664071207789680824910938647744729576479920, 711374856192074, 27527506182452690092631959163161804800000000, 629634731525909679619733652275435957977409243622, 1596969776447487689010654767154443035897011756, 35378340214550403720422514838320, 42392732417632095848533434265865364542015082307, 894381714737624309038374023331840000000, 26313083693369353016721801216000000000, 78680050944438805672320, 61730804607476947433944636422844921395695616000, 48, 41040, 7134671351808038, 20934668469130129512795321341005274289430765920, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.64._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982206
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [925553904460651603615555254960, 13181357629440119, 958003200, 19, 1888372313608559318629200, 590465598079208281695237219287040000000, 766800, 74, 209887666164086008757328059361416425986446901673, 26830174325830819724151513556560, 21779627273150312886603016320, 2248001455561483794480, 52879125147894586482480, 82114922935583164447540490555960003520821267114, 536786370557827456807591076502588347517848400, 4, 26841466512645472363160267032320, 13412044800, 271353675587871452984943575040000000, 13412050560, 81605664071207789680824910938647744729576479920, 711374856192074, 27527506182452690092631959163161804800000000, 629634731525909679619733652275435957977409243622, 35378340214550403720422514838320, 894381714737624309038374023331840000000, 26313083693369353016721801216000000000, 78680050944438805672320, 61730804607476947433944636422844921395695616000, 230285558265025880783919317643806488247444337996, 48, 106271850779888889593492985278759951498903458589, 41040, 7134671351808038], 'label': '12383472844800000000.a.64._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982208
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [1046045252299837766435423512333098738040511328, 21471828022892418009863322970530721117045254264, 81605664071734078816422295099115253813855074001, 52879145087145258691220, 315777242213241725897803520035, 28151115894686008265060, 145484782692606254845417493072559426804082863344, 711394016377703, 271353980879507525838591076982744404, 62790242792323602706123791844660171407572833271, 1046045243879686046313647039853766315318480602, 518963776, 7, 27527524075349928653169232591084992762172165, 78680064460555325743923, 21777790604889410148809899456, 17892896933268900127299575901988211056, 1175098093246331705535, 376610218070416, 13516134721734983, 17366635542915411311897538539729564186, 126000, 12804747930455059, 83174360538113054126537557185415058317216530548, 3, 1582831927308275867097027535586161491561001004, 5775, 20398254665261221013258219019884487921826643767, 14135746689370553406084731371147215440809064, 925553929188667991351344501691, 20948432205372758856138126739851937242754634992, 61744197574230792013398046854313200197501256979, 20934668469130129512795321341005274289430765920, 754198233250504877573889203916878452508148742518], 'label': '12383472844800000000.a.12._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982209
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [312862601406763487861447895424619545680, 13181376350509943, 61207410613207348194568989542643875259544103605, 62790242792323602706123791844660171407572833271, 376622672031375, 187326963796440290380845987357921246325432986939, 21981086270752214694982153588834900576058961840, 26584437380250652181649430544271116164, 61207410613207357025442113831454078611278848081, 11293428784365890950788051127, 78680063749192404191280, 19160150415, 4, 1582831918353603647138809386178515146078026903, 550922116975844018858274310793083725827939284, 126000, 27527506182452995384269207114525935631120483, 83174360538113054126537557185415058317216530548, 312607657115883360809385327106446263043, 23, 6266947691, 1269047926119219314871619, 536786987081628061278770387618882775005025172, 616523774090077221539075288699861267322, 12, 165882665426147255080673884038133510676944559280, 271353675587873700993157192347308892, 518918419, 2248021018383439708816, 295241022803813491104401875679751254407, 18010593362453081079895528387695, 42365204894083017371951722813236475843786525548, 1888372320743236936739779, 17366635237625662436272587709439619852], 'label': '12383472844800000000.a.64._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982210
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 64, 'diagramx': None, 'generators': [125087272613155779937482414923291323253921379819, 62790242792323602706123791844660171407572833271, 21981086270752214694982153588834900576058961840, 526262294936237195326342880999207528, 711381562259767, 12454128020, 1582831614708832421436478353999820547419201928, 12804748369510324, 4, 27527506708732047485893696136627145557104575, 1060180998989207992774021539902704476042092172, 550922116975844018858274310793083725827939284, 83174360538113054126537557185415058317216530548, 8691540468758225329894059125366380823, 86415, 958083847, 28151230802635101652560, 8, 621068850134979102102561679455, 5772, 8691540457466065593440771290785552483, 20948432204846515769572079561316577213410609899, 9217802752402301613643411411470069855, 41319159954645753573136619480314620729412129998, 19562827266300251, 8691558750768630566397367690469758188, 1887197485168222875734400, 1582831605762384292762161674298052119920681056, 165882665426147255080673884038133510676944559280, 26584438000512921641896954577405644808, 1060180990297676399249092953119176591576214903, 526261695647015406414473942808412819, 13181357629526408, 519044407], 'label': '12383472844800000000.a.64._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '64.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '64._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982211
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [210410325913857895816257934221836637688391837517, 2248002166949750620816, 9217802131334073051559397414387712000, 699179544331231515673691, 773550444836477343738084473136465753945671444381, 925553905533574905356175174480, 5764, 14135746418016856040501353579770717363871946, 27527506182452690093899831997276310598502494, 19160069760, 523394906034431511615585992410153167744451726, 1569439871784804614414430326640753505431202563, 41346686279370731335420885404009139566078237367, 40823291669103627617416752745701958665473713216, 26313083693371860713437126606257760571, 1582831605491030605880294889477047377185664153, 3, 41346687460565058025882151413018183427630185033, 19562821957446492, 523394611319653296624060276935493168086102445, 26058175695091105282315242790383363840, 19679068800, 903073255195090452136780115792124022320, 20398254665261221013258219019884487921826643767, 518918420, 77607141870208720533848, 20398254074524268638197938488836106554397068732, 1582831605491029680326339899883635941952353139, 12973011135, 15, 20934668469130129512795321341005274289430765920, 1596967351909045937882981722000489783535366448, 376629897017536, 1596967968432855993498455157264964209318720772, 27527506453815512332108512871082807375189088, 20398254074524243027579499874508652184637566019], 'label': '12383472844800000000.a.72._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982212
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [9217802131333451478689918984794028891, 86412, 958089623, 894907994400307965951864645522645618016, 2248014971677483049040, 1569440454085097373849156967243884968448776988, 62790242792323602706123791844660171407572833271, 711381123139680, 8946448455745632905194702568466130579, 20398254977860619313665274810400249197853225016, 1569439871784804614414430326640753505431202563, 5763, 79855162177277618334007, 4, 8946448455745582273687244591846309760, 1582831614700645276498840696262653492147525758, 26058175695089838584471113400801013847, 321809013569907213297878163305163209063, 1046045834090376454312356795170087322594552347, 6758061133910407, 42364832319245301002106237663709804600581002165, 295767283552125757535053962498505488514, 17892896911491211755423530734145664004, 526261673867387060341194085453865047, 42392731809536732010555801423915406181853090553, 26584437380249465236644741841416318016, 1046046415872648377836940607975356975800702184, 12973091779, 61207409997209836094135749801160830928205613935, 304187470334006459270029338507448729038, 1190149008067954833048858889581116618895, 27528704751637783498630398529491726907287645, 1189877644635939934021402082484736245933, 20934668469130129512795321341005274289430765920, 20, 621068850134972678799360000000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982213
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [90743, 79855143325757669036900, 958003200, 77607160386883958527935, 526262599421342049934605521206144143, 9473719792005156734697105545081, 61194018263503558282941601885975237226111856505, 1175111232758381359451, 915068352272292077361708820416, 106258458680117208881364466586524027311714360925, 550922117502106313783636047292249867422201016, 1569068764682673494987231400573916337824237955, 815391882231795333707025390350281869362217258160, 131767, 11293428784871699664532594563, 4, 9217802153111269059577232792727696020, 83188496883951322966258911428551604970854729113, 11292213790676528812118147764, 526261685159625579034068770537016976, 79855142614394308767363, 41346686288062271814662876885099151904456306579, 8, 21994477752379151345170688675313796404466317394, 14135746418016246263810955060379758332759048, 10103, 20934668452289756243038410571701644285281876435, 1046046415872648377836940607975356975800702184, 903073273499685772719842502167413031561, 26536175499217963371615267308652, 78680064125790167040003, 28151109136631061594731, 1569439854673042607311396168794354593215456088, 19562809064204179, 42392359842794388015159470174922707778346796233, 621068901839006533180489318320, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982214
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [958003200, 19562808545280000, 35988116825093800059782369280000, 62267591299325776172508660302687245384708310477, 1862469205927495925760000, 210396934752716113680103588342379436312910787276, 2507696714614014443520000, 536786370557827456806323203681655374223520000, 82637946751610745497576900320960914992403481031, 336020244874878639101715984206156183893902216301, 27528409773756476825181081085497872113526907, 734309613066885078596430005884755136772841208207, 6266937600, 82128314695347600891367450163293244640478982400, 18598592312775672096227328000000, 63, 86400, 448671, 355419187200, 20934668469130129512795321341005274289430765920, 62267219010757974149865105567035544312673070163, 41332550532952714174086886683487449920612044800, 14135746418016246263783979029731918662604800, 2248001455555215360000, 52879125147719270400000, 26313083693369353016721801216000000000, 312862565114161607368822216458240000000, 1134736, 5767, 8863943024102036602175668224000, 1046045234933202223520014448200148670057292800, 1888372313608552611840000, 271353675587871452984943575040000000, 17694816148390961671630995456000, 599412046534953861720922631700480000000, 3, 23, 621068850134972678799360000000, 20948433099236435651839784936237446703146396893, 103, 18598592312775672472837545984000, 21777738900849885679165440000], 'label': '12383472844800000000.a.72._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982215
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [18720979200, 51704033477769953280000, 1569439845726593236497489671748373708800000000, 104, 894653068413212180491358966906880000000, 81605664375395286855893868660785323099514192650, 13181357629440000, 27900385215872327387318834878370475619665394, 61730804607476947433944636422838498099200000000, 376610217984000, 355372080548886797151878072259146015915381662832, 61221546064647455726871145303192068390338025673, 271353675587871452984943575040000000, 925553903285559933665280000000, 3, 12454041600, 5760, 26313083693369353016721801216000000000, 518918400, 77607141158826639360000, 80640, 17999301201541536121749504000000, 754170708794883107202123222604622707689935189690, 210396934726921060611339043327713091989577205715, 262013875200, 174356582400, 14135746418016246263783979029731737600000000, 486957011853312000, 15, 11292160911544957796352000000, 26841466486742364681928704000000, 20934668469130129512795321341005274289430765920, 51120, 2248001455555215360000, 81605664071207789680824910938641321164800000000, 1267872820933141463040000, 403200, 20948433099236435651839784936237446703146396893, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.72._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982216
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [20398254083207568878374775589304614075137779954, 20425782171698546007916256462474319129892059455, 272113231012870956793959501118767124732235663431, 523394628431398535268328936497965330464638046, 536786961294780137156459492972033720848933271, 1046045243624742986277768891673986266953420815, 4, 26976017843273760438975, 518959444, 82637574471742689065345983861353906341001737616, 83188496883951322966258911428551604970854729113, 1596967647676330415563212410862038177231472103, 82128315607095987159621402150907514821859938573, 711374856202096, 814868859926936389699861090701768321243075522690, 80647, 1060180998989208308549397861216338417985061219, 35682825189020953212201071462503, 1582831606017292269262076984508316911950109380, 550922126193645845695799428076073508693289523, 12454122240, 23, 526262588935764060636477563747338103, 20934668452289756243038410571701644285281876435, 14135764310913169047130845424533092969308820, 1046046415872648377836940607975356975800702184, 915068379248309878533104608087, 17366635858692651277131008967938928488, 12, 10092, 1175098804627374950416, 12804748369549940, 1060180981622572776926176684658617743160292407, 21980713999287934767034471738494246484623694603, 14135764310914072823271575169961031511626948, 11292213790670816897184746164, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982217
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 8946448467037766840350856013889581380, 13412095923, 83188496275855993264876051456530243374835704438, 270544163759891386561460786358159373334445503956, 61730805502384924476990838253445545566249503419, 753675585068830402222313924492930955914155285805, 20425409899979339179015008092089167133307791445, 61730804607476947761014064275884817859994003259, 61221173776087885079349643290107421376185256320, 20948432517445957963416608074906700812655300511, 1569439871784804614414430326640753505431202563, 550922116975844618140940175694188092964466580, 41869337807110058815629427611157377197342466548, 5768, 4, 536787569381921136496506807522879674361932899, 18720989299, 271353675587871452984943588452044803, 21777818755992500074432210560, 26584437696026627594499809935153427310, 2248001832178845394564, 78680057702506644394083, 23, 376611176077927, 1060182162808677238915728423494284403773450087, 26584437380249462988406377537257143002, 14135746689370227145153974073873699332199079, 9217802447110719492857441401391025869, 327070075226149803964570117281, 17637988934989436224002747233218617619, 518918419, 15, 20934668469130129512795321341005274289430765920, 14136354776511236964494773570318367770984424, 19228056880032019], 'label': '12383472844800000000.a.72._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982218
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [11292239591615465044659907203, 83188495677225107560707908331346125279454095397, 1582831632075467670352490936624976565509171136, 61207410604787144023164474566428495797350799390, 45380, 125623686999325042500387198102823946643573114136, 327069400876785228138501114724, 958003203, 271354307142326553273970245974169600, 16, 523394906034431511615585992410153167744451726, 27527514873994062627049824895968336208787768, 1582831631804113678987352644570980417449859956, 20425782484034858617041873533255337416409226871, 4, 13181358148439040, 1073573644443827558930280834509764806303824009, 1060181007409394176167735649421791575213958401, 1060180981877481080497329539939869848733003495, 2248007878865123071932, 376610218070420, 19160195771, 77607141535450269429844, 9217802142625614638217145963238345048, 41346687460565058025882151413018183427630185033, 26976030271422968822411, 376616484921619, 23, 26584438305803368521967432010877180355, 20398254665261221013258219019884487921826643767, 83174360538384416632999145275695115295107521193, 21981085680541525235121591386950876093734599627, 1060180981877481069206978218725405333054576513, 2248001455561482429372, 20934668469130129512795321341005274289430765920, 774568962877827517803604254252944664986568807507, 5776], 'label': '12383472844800000000.a.72._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982219
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [26830174325830819724487771187204, 12972960003, 523394610793391012977475223548225126400000000, 62790242792323602706123791844660171407572833271, 1189877644614162143416159850987520000000, 13181357629440000, 7, 1093680, 61730804607476947433944636422838498099200000000, 1060181571825058008018871319958039420406506357, 355419187203, 17637988913211644444021332377600000000, 6706022403, 126000, 629634731525909679619733652275435957977409243622, 19228043907072000, 3, 1060180981351218469783798427229880320000000000, 526261673867387060334436024320000000, 28151109136611901440000, 62253828110913317633811413503471422960390573461, 5760, 1496880, 8863943024101665264500736000000, 518918403, 180623520000, 125609923246496964981089011085812272289325850840, 711374856192000, 1888372313608552611840000, 1175091669949317120000, 493338462769152000, 18010593362453081079814136812803, 14135746418016246263783979029731737600000000, 107, 249713497313280000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 795503627107045590866475522253708840173291066944, 621068850134972678799360000000], 'label': '12383472844800000000.a.12._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982220
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 270544163759891386561460786358159373334445503956, 11294048108773319697100339211, 773550444836477343738084473136465753945671444381, 51139, 14135772468004469759665267567290107661490597, 62790242792323602706123791844660171407572833271, 1582832213323263912227984434335123157745808020, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 20425782484034858617041873533255337416409226871, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1596967960012633246087192373401084739300080128, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 20398254665261221013258219019884487921826643767, 14136345575155098716610954665459231501880967, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 1889445243333758336029440, 78680300993049909767760], 'label': '12383472844800000000.a.72._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982221
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 270544163759891386561460786358159373334445503956, 11294048108773319697100339211, 773550444836477343738084473136465753945671444381, 51139, 62790242792323602706123791844660171407572833271, 523394906034431511615585992410153167744451726, 1582832213323263912227984434335123157745808020, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 20425782484034858617041873533255337416409226871, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 14136345575155098716610954665459231501880967, 1046046415872648377836940607975356975800702184, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 1889445243333758336029440, 78680300993049909767760], 'label': '12383472844800000000.a.72._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982222
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [711374856272644, 271353675587873700999203984046539535, 526262283644129162888016383029382419, 14135746418016877818290783357906261772164408, 62790242792323602706123791844660171407572833271, 186294310043405378156032923445651557312742979721, 327069374973689975218489588328, 1046045843291698151066220644616203205481669684, 61730804607476947433944636422838498099200000000, 62253828423767641920502598897733151119057437353, 550923324220133311284371865991176271827520637, 21777738900836704334509046423, 526262305421816359697289708547516916, 12454047383, 271380211764015898457336467274640487, 82665473970988791684364886126618800933261813795, 526262305421817432607074983934284887, 126003, 3, 270571690961631470054629396398995795097791218079, 1175105186071584899776, 11, 621068852382981269044648227863, 20398254665261221013258219019884487921826643767, 83188495694065455219847137206771395577930215019, 19562809064324404, 526297672469791318511865602137754168, 1569439845726620077963977589570016663133775980, 518918412, 26313083715147091917565640221860848660, 26830176214203517851805183567998, 10100, 41319159962811014955927767085828508795082333325, 78680051321049980650808], 'label': '12383472844800000000.a.72._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982294
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [51704033477769953280000, 1582831605491029680326337651881803776000000000, 104, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 773522545345914566687156741409811546494255127171, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 3, 628588314871266698601950976261077954578652940875, 7224940800, 1134720, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 5760, 41346687460565058025882151413018183427630185033, 26313083693369353016721801216000000000, 518918400, 105749199824416937736976982952562330301513160889, 80640, 609776689223427721003008000000, 711374856192000, 1888372313608552611840000, 12804747411456000, 371714285150208000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 51120, 20, 2248001455555215360000, 1887197221938603294720000], 'label': '12383472844800000000.a.72._.CX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982223
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [40823291686215328342362604686941809133343649932, 519689524, 274468042804, 270544163759891386561460786358159373334445503956, 27527532495537309015968116594645839399365047, 79855143325757668920964, 925553957237595578377760002568, 62790242792323602706123791844660171407572833271, 26313084630215497068976441917649157775, 62790241602445940397950299119187401985264348095, 81605664088574424929740871817252939186161868720, 28151109136611902942652, 62253828423767641920502598897733151119057437353, 4, 1582831605491030301395266466912561872328108660, 550923324220133311284371865991176271827520637, 1060181007664337857270553080854290548714547872, 9217828667508303323305804805720416180, 1181202559296432065937423645459285806006, 1492564, 20398254083742036316747638001240976891407390804, 1060181589454841156321126203262993442288717454, 1139055, 20398254665261221013258219019884487921826643767, 1175091669949317886811, 83188495694065455219847137206771395577930215019, 1060181581026396157852506677332357215265861753, 13181377309551368, 83188495685645286437269387989444756858038115131, 12974462660, 10080, 376797987745932, 11292239591608706983007084164, 41319159962811014955927767085828508795082333325, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982224
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [2248001832166391478972, 270544163759891386561460786358159373334445503956, 20425409899979339179015008092089167133307791445, 753675585068830402222313924492930955914155285805, 8691558140990051897740540438702355292, 61221173776087885079349643290107421376185256320, 518969532, 62790242792323602706123791844660171407572833271, 14135746944313298471309157718775910624121544, 21777740075928750900231209047, 27527506182470678908256686499918353812230460, 1569439871784804614414430326640753505431202563, 19160064007, 52879138663841538537703, 303916143488590355421977923157398731716, 40823292858726373685240681702568815408165466989, 609776690398520102345902381940, 536786387924489524605688825449292274295509854, 45375, 526262588935713531695004488589322157, 599412064534257572032089911138166741198, 711374856197783, 26584464808910127896268509866841123790, 3, 271353675587873700986399148976429943, 8, 19563076307538056, 8946466139272075201804647077302751361, 526261685159549146971063770947213962, 1046046415872648377836940607975356975800702184, 83160969056222986628536790664137336303287323468, 17366635869178203363302269695731450259, 10080, 8691541372535658762517086812479084889, 631556316496578033895876905623, 141229006102039762, 20934668469130129512795321341005274289430765920, 1582831631804131078998686096756821592179915448], 'label': '12383472844800000000.a.72._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982225
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [1569441044024425569383967857518767845651304985, 270544163759891386561460786358159373334445503956, 20425409899979339179015008092089167133307791445, 753675585068830402222313924492930955914155285805, 17637988913211722051168914681797586568, 19562814812217603, 61221173776087885079349643290107421376185256320, 62790242792323602706123791844660171407572833271, 958013288, 14135746418016246263810955054333072055091771, 1569439871784804614414430326640753505431202563, 550922116975843703070108357822284936878233623, 1596967352180400223246894922915817283863573944, 1569439845726593236497542550886702961014516328, 2248014636912844851140, 4, 19228044426116420, 1582831605762383682984878927754032266297249936, 1596967351909046547659024645028590182515824652, 13181357629445776, 523394610793391012977475223555359804976800020, 23, 1596967351909045948367938138908627067368607987, 42392731809536732010555801423915406181853090553, 523394610793391318269189976561636571519946911, 711375814200964, 1046045252299837461143867294744819640155253914, 13516135679738171, 12, 10080, 1073572741641925745423773627603214918594908896, 523394636851567339621818364813075230514831975, 40809900230095672543108834452218766487177235040, 77607160721641451668332, 19939431736234080, 20934668469130129512795321341005274289430765920, 1046045234933202223520068400735178699233596896, 20398254682627847093745405817248618511788134419, 25903114104366593872576], 'label': '12383472844800000000.a.72._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982226
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [305291687776873943913308308362, 1596967351909045926590121630918670185470858160, 1046045234933202539297256661442209237696660324, 1073573931264688897482494178185035301405008560, 270544163759891386561460786358159373334445503956, 753675585068830402222313924492930955914155285805, 20425409899979339179015008092089167133307791445, 77607141158845799469371, 25903108057679358115695, 6706063460, 61221173776087885079349643290107421376185256320, 27527506453833805632218718868184027852956103, 62790242792323602706123791844660171407572833271, 16, 609776766830568879842101452743, 11292240766687572179164809607, 1569439871784804614414430326640753505431202563, 958093924, 121696, 141563603607148800, 4, 82637574167826581249094647123038387241039551943, 1596967361126848667700262333022793863675564903, 10091, 14135773002453637000636794810091130953808640, 42392731809536732010555801423915406181853090553, 14135746689369921851655432014675331361105204, 14136632650916192676809856213369009852111363, 646300438411543698182400, 26313084009146568253945683840562206012, 1596967369547034851093979865622912832292099695, 20934668469130129512795321341005274289430765920, 20, 271354590656224900362267327556449135, 2248001455561921514171, 20948433099236435651839784936237446703146396893, 80652], 'label': '12383472844800000000.a.72._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982227
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [925553929188674749393836806416, 61744197548172589509912294616308166239856817348, 53952048449447436333360, 270544163759891386561460786358159373334445503956, 599420296215078385399333602953240608676, 21777738900856643740818182408, 550922117502106008491922367323053302462291229, 536786379504276239621278203057419424251443278, 753675585068830402222313924492930955914155285805, 6423296495616000, 20425409899979339179015008092089167133307791445, 61221173776087885079349643290107421376185256320, 82651709897132887950032856709902809949248869259, 20935040471666498706690149795726387291599776100, 1569439871784804614414430326640753505431202563, 7, 1596967360855494404113440557446457002254393625, 6423297014534412, 711374856192023, 52879131905780404224023, 536786387924463325984526567362397397078892899, 312862565745718544263204756476113667187, 3, 53952048449447437059120, 62253455258201205769871505299310620163384275863, 1175098428011408947211, 17366635858692677078063563736591923267, 61744196375932924966794030898106968901223538608, 271354285364612380446853722857472016, 631554482076299358656418662519, 27527532240629310736400805224103670219680011, 20934668469130129512795321341005274289430765920, 40795764180032875935785782898416013574135631949, 271353686880086316584062740986630512], 'label': '12383472844800000000.a.72._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982228
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [14136944987201339671620159957650313038736505, 12972960003, 270544163759891386561460786358159373334445503956, 6423296495621760, 28151116271296226984925, 315778480862043360216998360903, 11292160911551715864710896567, 550922125922310147633200205877373481587684400, 523394906034431511615585992410153167744451726, 894653068413212180491851970605012401376, 13412125444, 2248014971696204028240, 20425782484034858617041873533255337416409226871, 62253828423767641920502598897733151119057437353, 1073573644443827558930280834509764806303824009, 21777741148857722685297084248, 27527506453806681460227419002810915492974743, 6266943360, 526261685159550219887272684837098244, 3, 6266937603, 18720984967, 27527506708732069264255344454280826269033528, 518918400, 20398254665261221013258219019884487921826643767, 1046046415872648377836940607975356975800702184, 26058193683907348158851803951964286016, 62762714999320332603173159039154110329276627293, 83174360538384416632999145275695115295107521193, 1887197229073294325632080, 1582831622857665843506522698115707222330885207, 321809013896977831416232207963039020723, 19562827266259223, 711394016387780, 250424872170611048, 19562814812349364, 20934668469130129512795321341005274289430765920, 20], 'label': '12383472844800000000.a.72._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982229
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 5767, 12804766571610740, 526261673867441012370080730611820731, 536786370829181143686356743310361199074424327, 376616485012320, 1060180998989208298063770415540794812632668252, 958003208, 27527506708714375252208082165208360160051767, 11292163159546789981464332176, 1569439871784804614414430326640753505431202563, 7, 6266988736, 536787551760404142763445526433160721040618837, 19678982420, 12454041607, 536787569381921136496506807522879674361932899, 83160969351973851965073882686508678022264164499, 550922126193682127007998554506176776654996391, 536786397142265740831951649713954860994243241, 3, 754184844540774843492099474969644180196348124258, 312607657736950968872469292773666873638, 78680050944445949695920, 26058175695089889113425349352443581459, 1582831614182571063346331258905278243015037463, 550922143034019419938925564828341202289088667, 711374856192015, 106258086704157036817350245175764557318805046394, 15, 1175104474697247545523, 26976030271422968867768, 41869337511614129560167536349945781247956286167, 8691541078534966257348499837193958491], 'label': '12383472844800000000.a.72._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982230
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [11292240766693995475660384572, 82142451649281259811666934993805510464668909571, 894381715663178291003991324745313280023, 711381123220340, 145484782692606254845417493072559426804082863344, 26584437390735043225692821574724608000, 147054231073490885085114396402160758206653514777, 62790242792323602706123791844660171407572833271, 19228057319238500, 126007, 1569439871784804614414430326640753505431202563, 6706103055, 295767283573903471707625318843779414963, 14136345830062792509807786588991290567334343, 8946448477523320101620544764148013927, 526261673867389308355119642163542967, 83174360538113054126537557185415058317216530548, 3, 518999060, 5760, 61730433508540131086234904804372951712549080965, 82637946170099827859423302509250982521668331552, 90727, 26976024224730943125859, 20398254665261221013258219019884487921826643767, 894907977021268413473246028358381251135, 1582831605491056826279146592875102685691070855, 925553904460651603633758676628, 27527506453807280750768784763378855474488963, 315777268014180327364230270020, 18609080373733662822270763359405, 27528696331451600911550915315568492407680099, 61744569567557564231092147772032436016340468621, 78680058079123568400503, 20934668469130129512795321341005274289430765920, 20, 82637574158880123363183642380798494886271520615, 1582831605491029996104172213513115326980513463, 1175104851307904689216], 'label': '12383472844800000000.a.12._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982231
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1569440749326145494281586745090868282127667316, 518999059, 61744196975073635499200886648466973833683776673, 19562809064243780, 550922117502105986714237418528416715873118823, 25903108057667423114179, 27527532240628385182496344553648615227455372, 536786987336509229384010794766200387296080007, 16, 20411645851926676322199970791755014634261834888, 1046045252826125965185579010941403915017474557, 186294310043405378156032923445651557312742979721, 21471826841952971866839776139466431392006486412, 52879144710534082617619, 18293303185472475592532100086415, 62253828423767641920502598897733151119057437353, 12804747930500423, 21777765876873733793184559444, 41346686279370730431642858550079982726928725612, 4, 958003216, 20411645834288670030755999669179115649128217600, 62762715303236413568286160952684288997163550227, 121699, 733786589581078475691077257110976966994772154231, 271353675587898429021973065848582400, 11, 17637988934989383344864460014791811764, 20398254665261221013258219019884487921826643767, 5780, 1060181581026396157852506677332357215265861753, 20411645834288706007580714482801576341517830256, 14135764310913157755023885555975787670492812, 550922143288927407731699791049029813573884260, 1175105186091263836800, 19939431736310403, 711374856318000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982232
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1569440749326145494281586745090868282127667316, 518999059, 61744196975073635499200886648466973833683776673, 19562809064243780, 550922117502105986714237418528416715873118823, 25903108057667423114179, 27527532240628385182496344553648615227455372, 536786987336509229384010794766200387296080007, 16, 20411645851926676322199970791755014634261834888, 1046045252826125965185579010941403915017474557, 186294310043405378156032923445651557312742979721, 21471826841952971866839776139466431392006486412, 52879144710534082617619, 18293303185472475592532100086415, 61716668861067189404679724378659776943665033609, 62253828423767641920502598897733151119057437353, 12804747930500423, 21777765876873733793184559444, 41346686279370730431642858550079982726928725612, 4, 958003216, 20411645834288670030755999669179115649128217600, 62762715303236413568286160952684288997163550227, 121699, 733786589581078475691077257110976966994772154231, 271353675587898429021973065848582400, 11, 17637988934989383344864460014791811764, 20398254665261221013258219019884487921826643767, 5780, 1060181581026396157852506677332357215265861753, 20411645834288706007580714482801576341517830256, 14135764310913157755023885555975787670492812, 550922143288927407731699791049029813573884260, 1175105186091263836800, 19939431736310403, 711374856318000], 'label': '12383472844800000000.a.72._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982233
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 270544163759891386561460786358159373334445503956, 10099, 41332550550590712233948947086552336576916080569, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1569439871784804614414430326640753505431202563, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 12454051703, 82128315590255577608153318080496841157358576652, 42392731809536732010555801423915406181853090553, 1046046415872648377836940607975356975800702184, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 78680050944433056609131, 20, 51124, 61716668887372050857875518191205974035048268921, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982234
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [1569439845726593247789728190454429756821652323, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 271353686880060515645461286056115283, 599412046862023237869698230170513033612, 1175110898006197273692, 20425409899979339179015008092089167133307791445, 6266947687, 958003203, 62790242792323602706123791844660171407572833271, 82651709315358812024494646718194612784354660521, 1569439871784804614414430326640753505431202563, 62790241611121034557039131755983348269778758480, 41319158782134753016180479233078529032388927424, 4, 11292187887568847761698914648, 52879138664196519723600, 19160064011, 19228043907077760, 292525249144410728455979465707906711445255769589, 925553957237601290293211315296, 41346687469519728710100765386804967199432790407, 1073573922573113377451051958454076973247238419, 376628938963220, 13516122267693375, 21966949951235254227507178072204731469501883627, 1175092046559535104016, 27527506182453005869923628443291374005293380, 42392731809536732010555801423915406181853090553, 26058176010867131326666363948678032487, 12, 106258086704157036817350245175764557318805046394, 271380811056315150265583205240064084, 82651709306412346189710158266799515638433484887, 6758068358770575, 26976036694712758335367], 'label': '12383472844800000000.a.72._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982235
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [19679063048, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 26058175706382000568938661543756737132, 17892896933268901200228212759992473604, 774582354029496608680973335535660028559501911040, 62790242792323602706123791844660171407572833271, 1569440167280699439679616559194825421531128473, 1073572750333465908889148963845156388929075238, 523394610793391949823591124693017655438909379, 1569439871784804614414430326640753505431202563, 523395791995941162759201736281355374649465688, 26058193705683228013569283172941250714, 958008983, 5783, 82114924133889228438664675228354211058754409070, 3, 7224950880, 8, 12973081695, 536786379775629915209228336086549388458285976, 21966949951235254227507178072204731469501883627, 327069376148788403217005440080, 11292162086643385820215120560, 1073573653390267499574232573358137152291808154, 27527523549087939008567036836178353987128979, 1046046416135778583213774851036710539179846532, 271353675587873700986775753885469460, 106258086704157036817350245175764557318805046394, 82637574740925526123640084230678536495016543954, 536786397142265457317976972757676616130560011, 14135764056005780544278558042970959425161633, 12804760384416000, 711387310239364, 1175092381343333386103, 1073572767173840376423587651961708308024390474], 'label': '12383472844800000000.a.72._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982236
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 1189622736627174867400425488830715705535, 26313083693369431696791973967432284100, 83174359948173735404721268229938366089885762592, 271353675587924332123607416578093371, 20425409899979339179015008092089167133307791445, 1189877644614162143416159850987520010084, 82142078465805480168451639208904065394496134960, 26584438000511654841973337058109593681, 26058176304869086033670499133243778412, 936847332070047825752618496056, 1189877644614162143416159850987520131768, 1569439871784804614414430326640753505431202563, 80644, 6706144091, 230299321114788961020237013197067527228933105998, 52879137952472948799364, 10084, 526261673867387060347240777998837859, 21777817580906876817140867764, 272113603892159247210978490965927423946235043059, 131764, 7134678576758892, 250683440337285124745464403772183871713779001535, 3, 27527514873993768627625192887661499862357209, 17637988913211644444041271815523379131, 621068850134986194922586780215, 14135746418016877818290783345478285523104020, 518959447, 23, 1569439871784769563143642402613469967617768339, 8946448467037819617288072710688813402, 52879125147719789328487, 711375375191055, 186280546585810081393525019561806733137754092769, 20934668469130129512795321341005274289430765920, 8691558762060816206195203510527768266], 'label': '12383472844800000000.a.72._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982237
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 1189622736627174867400425488830715705535, 26313083693369431696791973967432284100, 83174359948173735404721268229938366089885762592, 271353675587924332123607416578093371, 20425409899979339179015008092089167133307791445, 1189877644614162143416159850987520010084, 82142078465805480168451639208904065394496134960, 26584438000511654841973337058109593681, 26058176304869086033670499133243778412, 936847332070047825752618496056, 1189877644614162143416159850987520131768, 1569439871784804614414430326640753505431202563, 80644, 6706144091, 230299321114788961020237013197067527228933105998, 52879137952472948799364, 10084, 526261673867387060347240777998837859, 21777817580906876817140867764, 272113603892159247210978490965927423946235043059, 131764, 7134678576758892, 3, 27527514873993768627625192887661499862357209, 17637988913211644444041271815523379131, 621068850134986194922586780215, 14135746418016877818290783345478285523104020, 518959447, 23, 270558298906634261096885060926966399482206081985, 1569439871784769563143642402613469967617768339, 8946448467037819617288072710688813402, 52879125147719789328487, 711375375191055, 186280546585810081393525019561806733137754092769, 20934668469130129512795321341005274289430765920, 8691558762060816206195203510527768266], 'label': '12383472844800000000.a.72._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982238
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13516123225661284, 1569440731688122117799447932093290510965510412, 26584437380249387629259581446327922576, 61744197548172589509912294616308166239856817348, 28151128699433419760652, 17637988913211723124072276810656640091, 523394914709507693171319074785269985712300186, 20411647015228124993359838901002732832266705281, 20425409899979339179015008092089167133307791445, 7134690511958412, 82142078465805480168451639208904065394496134960, 711374856323768, 230299321114788961020237013197067527228933105998, 19160195763, 1582831631804113700765144322350947927587631460, 1175092381343333462404, 272113603892159247210978490965927423946235043059, 3, 915069024476062232037014598595, 5760, 526261673867389308355119623442473048, 536786396870911150175677395507931119301587143, 1596967377967222536748338288587341449726860160, 327069400876804079577938252880, 41869338084713091486675411783080471668524928571, 12, 186280546585810081393525019561806733137754092769, 20934668469130129512795321341005274289430765920, 1582831606017301132398542892430054464359174416, 523394611319652992136577037030543297513804891, 14135764310913157755022710458259064418442247, 1060181589454806387757707707197403328270387120, 80652, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982239
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13516123225661284, 1569440731688122117799447932093290510965510412, 26584437380249387629259581446327922576, 61744197548172589509912294616308166239856817348, 81605664384078613327767080344729156069520317492, 28151128699433419760652, 17637988913211723124072276810656640091, 523394914709507693171319074785269985712300186, 20411647015228124993359838901002732832266705281, 20425409899979339179015008092089167133307791445, 7134690511958412, 82142078465805480168451639208904065394496134960, 711374856323768, 19160195763, 1582831631804113700765144322350947927587631460, 1175092381343333462404, 3, 915069024476062232037014598595, 5760, 526261673867389308355119623442473048, 536786396870911150175677395507931119301587143, 1596967377967222536748338288587341449726860160, 327069400876804079577938252880, 41869338084713091486675411783080471668524928571, 12, 186280546585810081393525019561806733137754092769, 20934668469130129512795321341005274289430765920, 1582831606017301132398542892430054464359174416, 270558299219488586287362149954458288166629550602, 523394611319652992136577037030543297513804891, 14135764310913157755022710458259064418442247, 1060181589454806387757707707197403328270387120, 80652, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982240
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [51704033477769953280000, 355867950981398328796041643969523999528344193770, 1582831605491029680326337651881803776000000000, 104, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 1569068764682673494987231400573916337824237955, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 3, 7224940800, 145484782709972899850366279538550122273534232283, 1134720, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 5760, 41346687460565058025882151413018183427630185033, 26313083693369353016721801216000000000, 518918400, 80640, 609776689223427721003008000000, 711374856192000, 1888372313608552611840000, 12804747411456000, 371714285150208000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 51120, 20, 2248001455555215360000, 1887197221938603294720000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982241
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1073572759008552130395495410949462922732559354, 2248007878858936003223, 774582724197976762755499471324051207959961447643, 21777738900837415696911236419, 62790242792323602706123791844660171407572833271, 21994477466092783404452931234598991879872525957, 82114551255390302504501224930747090712259255719, 26313084324923781141107892838729560980, 7, 62763086401918385051778940446991716333067222330, 14135772476192246645258636334887984741466723, 376616485008011, 4, 1569439854673041714020810846272322970895555211, 1060180998717853718702291730578547008792155079, 17637988934989385592860203636432502899, 5772, 17366635259401513066971521141253017524, 690304983141341993201480870378527006228739696697, 271353675587871453356657873602333463, 125609932371610784393606295977943288732998308497, 82114550951474194666068856705987376685290808311, 523394611064744688565347851759644199417554628, 12454051692, 21994850623255506184058957604683653709001591717, 19562814812258660, 61221173749783015361096597974138560460818998918, 20920904707881882883851360274860550379578013303, 17637989534280494579494107719584035856, 609776689223447660440931414412, 1569439863364582455000771364073180202718626553, 1569441026657824783742300419527308509172416567, 518924172, 13412095924, 125073137179600311121856870158190100128012099167], 'label': '12383472844800000000.a.2._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982242
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [11292240766693995475660384572, 894381715663178291003991324745313280023, 711381123220340, 145484782692606254845417493072559426804082863344, 26584437390735043225692821574724608000, 147054231073490885085114396402160758206653514777, 62790242792323602706123791844660171407572833271, 19228057319238500, 126007, 1569439871784804614414430326640753505431202563, 6706103055, 295767283573903471707625318843779414963, 14136345830062792509807786588991290567334343, 42365204329930502986119889364202777007290418597, 8946448477523320101620544764148013927, 526261673867389308355119642163542967, 83174360538113054126537557185415058317216530548, 3, 518999060, 5760, 61730433508540131086234904804372951712549080965, 90727, 26976024224730943125859, 894907977021268413473246028358381251135, 1582831605491056826279146592875102685691070855, 925553904460651603633758676628, 27527506453807280750768784763378855474488963, 27899803425359881283039518846343646217949373, 315777268014180327364230270020, 18609080373733662822270763359405, 27528696331451600911550915315568492407680099, 61744569567557564231092147772032436016340468621, 20934668469130129512795321341005274289430765920, 78680058079123568400503, 20, 82637574158880123363183642380798494886271520615, 1582831605491029996104172213513115326980513463, 1175104851307904689216], 'label': '12383472844800000000.a.12._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982243
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [13516122267648000, 51704033477769953280000, 958003200, 21777738900836704321536000000, 86400, 1582831605491029680326337651881803776000000000, 1046045825661957664949265792659354296751254389, 766800, 26, 62790614195176580814351398501669241983172246509, 376610217984000, 1569068764682673494987231400573916337824237955, 506519820398592000, 62239692095575568368273863408198316786047905767, 19160064000, 27527506182452690092631959163161804800000000, 3, 550922116975843703070107182711386931200000000, 526261673867387060334436024320000000, 305291636072840466137088000000, 41346687460565058025882151413018183427630185033, 8863943024101665264500736000000, 2561648749547339612160000, 26313083693369353016721801216000000000, 61744196367241383877773484402971928166400000000, 41319158773188277730258038703354019840000000000, 1941149256871928463360000, 1175091669949317120000, 10080, 18598592312775672096227328000000, 607832233316832054686273608089600000000, 78680050944432537600000, 106258086408916024401530406033984052679017415665, 295241021878258318770436335206400000000, 86, 87657292800, 396677106599649730980550660207767569205418284251, 20934668469130129512795321341005274289430765920, 20, 1267872820933141463040000, 372049049788416000, 621068850134972678799360000000, 373680], 'label': '12383472844800000000.a.72._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982244
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 270544163759891386561460786358159373334445503956, 11294048108773319697100339211, 773550444836477343738084473136465753945671444381, 51139, 1582832213323263912227984434335123157745808020, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 20425782484034858617041873533255337416409226871, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1596967960012633246087192373401084739300080128, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 14136345575155098716610954665459231501880967, 1046046415872648377836940607975356975800702184, 20948433403144329482092336881451554252327031776, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 1889445243333758336029440, 78680300993049909767760], 'label': '12383472844800000000.a.72._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982245
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [2248001455574894423047, 270544163759891386561460786358159373334445503956, 958003200, 19, 753675585068830402222313924492930955914155285805, 20425409899979339179015008092089167133307791445, 27527514873993474628718826699575666171632579, 7134671351939760, 61221173776087885079349643290107421376185256320, 62790242792323602706123791844660171407572833271, 523395791724588108240156763182051309239099605, 936846117076249601989966608499, 14135746689370553407997729518882513799983525, 1073573332115737821119761151376091599797992376, 41346687468993494487488745957693965625929434848, 4, 13412054880, 711381562220163, 82142451040922773989385239004863087483438170168, 8691541383019967703915416450440783234, 519040084, 26058175716867656165364808834446233528, 550922143288927712217347538007762899234995284, 12972960007, 21777741148838871271286534400, 81619056742720577014972700917198612816141688496, 327069377221678626033518393543, 14135755635818987373924681147036785968112651, 15, 526262000936841889160978938386591371, 1060181007935656470295528628355390632825840707, 20934668469130129512795321341005274289430765920, 19679027772, 925553905533567812530403111535, 14135755109556703731140998209730727804381392, 20398254682627847093745405817248618511788134419, 1060181581034619617172864846655046690557572536], 'label': '12383472844800000000.a.72._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982246
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [14135746418016573333160127805330206674989376, 270544163759891386561460786358159373334445503956, 42365204598858441171001838568480489503219434842, 19, 753675585068830402222313924492930955914155285805, 20425409899979339179015008092089167133307791445, 42365204008392860165540776449155709126641482811, 121703, 631554430372278685627689856084, 61221173776087885079349643290107421376185256320, 62790242792323602706123791844660171407572833271, 894653086096736170218771466483212087603, 82128315607104209997873529509645412164830176191, 1582831605491030007395764329605968146523955856, 17637989218503307492898493233633484787, 21966949951235271889248275087331105943731814380, 11292238518698921376669794651, 550922116975862018148601466437423837166468515, 3, 19228056361239612, 18721110975, 1189877662613463373109068339249681804080, 82128315581309155688581916623241423953536940083, 376629378058095, 2248001455574894464095, 327069452580837557342143478404, 894653086706512908898224451390265439389, 5780, 1046046415872648377836940607975356975800702184, 518924180, 51704046282524589757451, 83160969056222986628536790664137336303287323468, 28151109136618607548812, 20934668469130129512795321341005274289430765920, 1569439845726594173343633724015107597151885940], 'label': '12383472844800000000.a.72._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982247
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [83188495685390360439686240750972882637337642114, 271354296656775539992932409458964327, 270544163759891386561460786358159373334445503956, 753675585068830402222313924492930955914155285805, 20425409899979339179015008092089167133307791445, 17892896911491214003419274280583276736, 61221173776087885079349643290107421376185256320, 62790242792323602706123791844660171407572833271, 16, 82665102264474632040173352506296518115889592303, 26313084618923333909430028391725219680, 621068852382974134355094288480, 11294695584277749848236073066, 52879144710540269727363, 19228057319122560, 62253456143636463220877679890969369126440453311, 711375375120499, 271354296656773292010662952898565779, 3, 10083, 1175092381330879334404, 14135755109557324798751411464189682464890739, 1582831605491029680326337651888561924352158008, 17637988913211644444034848680491899532, 518918400, 62776849868723234276390415942957962547557273536, 6706032484, 41319158799772715099215909473485660238762320655, 42392731809536732010555801423915406181853090553, 62253455249509673261280734282641529094737010030, 1046046415872648377836940607975356975800702184, 41346686305955168714861850121830854348760160568, 20934668469130129512795321341005274289430765920, 83188496866321592280930425500462359390280104960, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.BG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982248
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [1596968255237209435737872233107041417105106086, 270544163759891386561460786358159373334445503956, 19, 753675585068830402222313924492930955914155285805, 20425409899979339179015008092089167133307791445, 53952034933337622813367, 61221173776087885079349643290107421376185256320, 1175111232758381404820, 62790242792323602706123791844660171407572833271, 52879144375763696400484, 25903108057686064218732, 621068904087027551543810903043, 1073572750062139346182968222931564021199389460, 51704046993892739927056, 523394628431380841257473115087733489978717288, 1073573332115737821119761151376091599797992376, 27527532766890059049856428889846021829343877, 3, 14135772476192878199738464632079704382947859, 1060180981877480775205693467221780941609297204, 126023, 61194019148667496793852933695227933338801335012, 376611176038336, 958044247, 17637989534280547458125582206138066576, 7134671870771775, 526262588935789963750916663365216564, 27527506182452701384845749840401998480281539, 42392731809536732010555801423915406181853090553, 1046045548067147538958792926763764458500990907, 21777740075935132339211975532, 27527532766890690604311529638378985562870891, 20934668469130129512795321341005274289430765920, 10100, 1046045261517649054904871186962826644858039052, 20398254682627847093745405817248618511788134419], 'label': '12383472844800000000.a.72._.BH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982249
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 270544163759891386561460786358159373334445503956, 11294048108773319697100339211, 773550444836477343738084473136465753945671444381, 51139, 1582832213323263912227984434335123157745808020, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 20398254665261221013258219019884487921826643767, 14136345575155098716610954665459231501880967, 42365204329930502975631771937387451365860617147, 83174360538384416632999145275695115295107521193, 61221546637491528232325676191754591851517563580, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 21966950541700869064690775648050129756910336016, 1889445243333758336029440, 78680300993049909767760], 'label': '12383472844800000000.a.72._.BI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982250
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 270544163759891386561460786358159373334445503956, 11294048108773319697100339211, 773550444836477343738084473136465753945671444381, 51139, 1582832213323263912227984434335123157745808020, 83174360816513711576407353732079323945761146405, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 61194018845022733505738837311773674066921347237, 20425782484034858617041873533255337416409226871, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 20398254665261221013258219019884487921826643767, 14136345575155098716610954665459231501880967, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 1889445243333758336029440, 78680300993049909767760, 42378596358614680986089187692771624752221228060], 'label': '12383472844800000000.a.72._.BJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982251
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 270544163759891386561460786358159373334445503956, 11294048108773319697100339211, 773550444836477343738084473136465753945671444381, 51139, 1582832213323263912227984434335123157745808020, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1596967960012633246087192373401084739300080128, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 14136345575155098716610954665459231501880967, 1046046415872648377836940607975356975800702184, 83174360538384416632999145275695115295107521193, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 1889445243333758336029440, 61207409996683583882701066768676085956716024896, 78680300993049909767760], 'label': '12383472844800000000.a.72._.BK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982252
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [355938105616, 42365204008121479953778053151554168422400367920, 62253827225469846512175847853383468678232806400, 51704033477769953280000, 13516122267648000, 305291636073212180422238208000, 126029, 21777738900836704321536000000, 305291636072840842747305984000, 229775927407068825811730403297645684356298073583, 650018478737704195978044989860981848161774949748, 82142451623231316102275890029808628670185500902, 26584437368957224469706744791040000000, 81619428441349051484925681214142682659614899193, 62776478161945951711875356786848273583767657021, 4, 83188496883951322966258911428551604970854729113, 20425781580706685949950381698514209996800367920, 87218208016, 363629, 1060180981351218469783798427229880320000000000, 18293300676702954007488294912000, 526261673867387060334436024320000000, 17366635237623772991036388802560000000, 20411646138731083403020546431805205423021351103, 5760, 305291636072840466137088000000, 29, 518918400, 1175091669949317120000, 27527506182452690092631959163161804800086429, 27145951539893074314192678912000, 2534672732080677027840000, 20, 1267872820933141463040000, 912274611649115469089744848158720000000, 1569439845726593236497489671748373708800086400, 12972960000], 'label': '12383472844800000000.a.72._.BL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982253
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [11292240766693995475660384572, 894381715663178291003991324745313280023, 711381123220340, 145484782692606254845417493072559426804082863344, 26584437390735043225692821574724608000, 147054231073490885085114396402160758206653514777, 62790242792323602706123791844660171407572833271, 19228057319238500, 126007, 1569439871784804614414430326640753505431202563, 6706103055, 81605664392761912957760030588583381496467112424, 295767283573903471707625318843779414963, 14136345830062792509807786588991290567334343, 8946448477523320101620544764148013927, 526261673867389308355119642163542967, 3, 518999060, 5760, 61730433508540131086234904804372951712549080965, 90727, 26976024224730943125859, 894907977021268413473246028358381251135, 1582831605491056826279146592875102685691070855, 925553904460651603633758676628, 27527506453807280750768784763378855474488963, 27899803425359881283039518846343646217949373, 315777268014180327364230270020, 18609080373733662822270763359405, 27528696331451600911550915315568492407680099, 61744569567557564231092147772032436016340468621, 20934668469130129512795321341005274289430765920, 21994478326012608477086655771958591621413106620, 78680058079123568400503, 20, 82637574158880123363183642380798494886271520615, 1582831605491029996104172213513115326980513463, 1175104851307904689216], 'label': '12383472844800000000.a.12._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982254
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 251729485867706007481986059317925150219601466273, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1569439871784804614414430326640753505431202563, 41346687468993494487488745957693965625929434848, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 773536308204369161160941055303433840075469220418, 12454051703, 82128315590255577608153318080496841157358576652, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 78680050944433056609131, 20, 51124, 61716668887372050857875518191205974035048268921, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.BM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982255
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1569439871784804614414430326640753505431202563, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 12454051703, 82128315590255577608153318080496841157358576652, 1046046415872648377836940607975356975800702184, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 106258086704157036817350245175764557318805046394, 78680050944433056609131, 20, 51124, 270558299219488586287362149954458288166629550602, 61716668887372050857875518191205974035048268921, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.BN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982256
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 251729485867706007481986059317925150219601466273, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1569439871784804614414430326640753505431202563, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 773536308204369161160941055303433840075469220418, 12454051703, 82128315590255577608153318080496841157358576652, 42392731809536732010555801423915406181853090553, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 78680050944433056609131, 20, 51124, 61716668887372050857875518191205974035048268921, 20398254682627847093745405817248618511788134419], 'label': '12383472844800000000.a.72._.BO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982257
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1569439871784804614414430326640753505431202563, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 270571690961631470054629396398995795097791218079, 519044415, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 12454051703, 82128315590255577608153318080496841157358576652, 42392731809536732010555801423915406181853090553, 1046046415872648377836940607975356975800702184, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 106258086704157036817350245175764557318805046394, 78680050944433056609131, 20, 51124, 61716668887372050857875518191205974035048268921], 'label': '12383472844800000000.a.72._.BP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982258
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 775091612607593828872312873842079444219681210681, 11294048108773319697100339211, 125623686999325042500387198102823946643573114136, 51139, 14135772468004469759665267567290107661490597, 62790242792323602706123791844660171407572833271, 1582832213323263912227984434335123157745808020, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 20425782484034858617041873533255337416409226871, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1596967960012633246087192373401084739300080128, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 20398254665261221013258219019884487921826643767, 14136345575155098716610954665459231501880967, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 1889445243333758336029440, 78680300993049909767760], 'label': '12383472844800000000.a.72._.BQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982259
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 10099, 41332550550590712233948947086552336576916080569, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1569439871784804614414430326640753505431202563, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 754184844540774843492099474969644180196348124258, 519044415, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 12454051703, 82128315590255577608153318080496841157358576652, 42392731809536732010555801423915406181853090553, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 106258086704157036817350245175764557318805046394, 78680050944433056609131, 20, 51124, 61716668887372050857875518191205974035048268921, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.BR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982260
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 5767, 251729485867706007481986059317925150219601466273, 12804766571610740, 20425409899979339179015008092089167133307791445, 526261673867441012370080730611820731, 536786370829181143686356743310361199074424327, 376616485012320, 1060180998989208298063770415540794812632668252, 958003208, 27527506708714375252208082165208360160051767, 11292163159546789981464332176, 1569439871784804614414430326640753505431202563, 7, 6266988736, 536787551760404142763445526433160721040618837, 19678982420, 12454041607, 83160969351973851965073882686508678022264164499, 42365204008647741954726442653248649592846351935, 550922126193682127007998554506176776654996391, 536786397142265740831951649713954860994243241, 40809899917767592562545979400095687260926121766, 3, 312607657736950968872469292773666873638, 78680050944445949695920, 26058175695089889113425349352443581459, 773536308204369161160941055303433840075469220418, 1582831614182571063346331258905278243015037463, 550922143034019419938925564828341202289088667, 711374856192015, 15, 1175104474697247545523, 26976030271422968867768, 8691541078534966257348499837193958491], 'label': '12383472844800000000.a.72._.BS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982261
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 5767, 12804766571610740, 20425409899979339179015008092089167133307791445, 526261673867441012370080730611820731, 536786370829181143686356743310361199074424327, 376616485012320, 1060180998989208298063770415540794812632668252, 958003208, 27527506708714375252208082165208360160051767, 11292163159546789981464332176, 1569439871784804614414430326640753505431202563, 7, 6266988736, 536787551760404142763445526433160721040618837, 19678982420, 12454041607, 83160969351973851965073882686508678022264164499, 42365204008647741954726442653248649592846351935, 550922126193682127007998554506176776654996391, 536786397142265740831951649713954860994243241, 3, 312607657736950968872469292773666873638, 78680050944445949695920, 26058175695089889113425349352443581459, 1582831614182571063346331258905278243015037463, 1046046415872648377836940607975356975800702184, 250174180891653722655352722596861089463955658309, 550922143034019419938925564828341202289088667, 711374856192015, 106258086704157036817350245175764557318805046394, 15, 1175104474697247545523, 26976030271422968867768, 8691541078534966257348499837193958491], 'label': '12383472844800000000.a.72._.BT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982262
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 5767, 251729485867706007481986059317925150219601466273, 12804766571610740, 20425409899979339179015008092089167133307791445, 526261673867441012370080730611820731, 536786370829181143686356743310361199074424327, 376616485012320, 1060180998989208298063770415540794812632668252, 958003208, 27527506708714375252208082165208360160051767, 11292163159546789981464332176, 1569439871784804614414430326640753505431202563, 7, 6266988736, 536787551760404142763445526433160721040618837, 19678982420, 12454041607, 536787569381921136496506807522879674361932899, 83160969351973851965073882686508678022264164499, 550922126193682127007998554506176776654996391, 536786397142265740831951649713954860994243241, 40809899917767592562545979400095687260926121766, 3, 312607657736950968872469292773666873638, 78680050944445949695920, 26058175695089889113425349352443581459, 773536308204369161160941055303433840075469220418, 1582831614182571063346331258905278243015037463, 550922143034019419938925564828341202289088667, 711374856192015, 15, 1175104474697247545523, 26976030271422968867768, 8691541078534966257348499837193958491], 'label': '12383472844800000000.a.72._.BU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982263
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 5767, 12804766571610740, 20425409899979339179015008092089167133307791445, 526261673867441012370080730611820731, 536786370829181143686356743310361199074424327, 376616485012320, 1060180998989208298063770415540794812632668252, 958003208, 27527506708714375252208082165208360160051767, 11292163159546789981464332176, 1569439871784804614414430326640753505431202563, 7, 6266988736, 536787551760404142763445526433160721040618837, 19678982420, 12454041607, 536787569381921136496506807522879674361932899, 83160969351973851965073882686508678022264164499, 550922126193682127007998554506176776654996391, 536786397142265740831951649713954860994243241, 3, 312607657736950968872469292773666873638, 78680050944445949695920, 26058175695089889113425349352443581459, 1582831614182571063346331258905278243015037463, 1046046415872648377836940607975356975800702184, 250174180891653722655352722596861089463955658309, 550922143034019419938925564828341202289088667, 711374856192015, 106258086704157036817350245175764557318805046394, 15, 1175104474697247545523, 26976030271422968867768, 8691541078534966257348499837193958491], 'label': '12383472844800000000.a.72._.BV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982264
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [11292240766693995475660384572, 894381715663178291003991324745313280023, 711381123220340, 145484782692606254845417493072559426804082863344, 26584437390735043225692821574724608000, 147054231073490885085114396402160758206653514777, 62790242792323602706123791844660171407572833271, 19228057319238500, 126007, 1569439871784804614414430326640753505431202563, 6706103055, 295767283573903471707625318843779414963, 14136345830062792509807786588991290567334343, 8946448477523320101620544764148013927, 526261673867389308355119642163542967, 3, 518999060, 5760, 61730433508540131086234904804372951712549080965, 20425782492981315587886625903586128277750506174, 90727, 26976024224730943125859, 20398254665261221013258219019884487921826643767, 894907977021268413473246028358381251135, 1582831605491056826279146592875102685691070855, 925553904460651603633758676628, 62762714695149299409610520472523496383340011469, 27527506453807280750768784763378855474488963, 315777268014180327364230270020, 18609080373733662822270763359405, 27528696331451600911550915315568492407680099, 41855573167785985890519882754734582990160863869, 61744569567557564231092147772032436016340468621, 78680058079123568400503, 20934668469130129512795321341005274289430765920, 20, 82637574158880123363183642380798494886271520615, 1582831605491029996104172213513115326980513463, 1175104851307904689216], 'label': '12383472844800000000.a.12._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982265
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 5767, 251729485867706007481986059317925150219601466273, 12804766571610740, 20425409899979339179015008092089167133307791445, 526261673867441012370080730611820731, 536786370829181143686356743310361199074424327, 376616485012320, 1060180998989208298063770415540794812632668252, 958003208, 27527506708714375252208082165208360160051767, 11292163159546789981464332176, 1569439871784804614414430326640753505431202563, 7, 6266988736, 536787551760404142763445526433160721040618837, 19678982420, 12454041607, 83160969351973851965073882686508678022264164499, 550922126193682127007998554506176776654996391, 536786397142265740831951649713954860994243241, 321545900743570794011180821026809794628, 3, 312607657736950968872469292773666873638, 78680050944445949695920, 773536308204369161160941055303433840075469220418, 26058175695089889113425349352443581459, 1582831614182571063346331258905278243015037463, 550922143034019419938925564828341202289088667, 711374856192015, 15, 1175104474697247545523, 26976030271422968867768, 41869337511614129560167536349945781247956286167, 8691541078534966257348499837193958491], 'label': '12383472844800000000.a.72._.BW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982266
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 5767, 12804766571610740, 20425409899979339179015008092089167133307791445, 526261673867441012370080730611820731, 536786370829181143686356743310361199074424327, 376616485012320, 1060180998989208298063770415540794812632668252, 958003208, 27527506708714375252208082165208360160051767, 11292163159546789981464332176, 1569439871784804614414430326640753505431202563, 7, 6266988736, 536787551760404142763445526433160721040618837, 19678982420, 12454041607, 83160969351973851965073882686508678022264164499, 550922126193682127007998554506176776654996391, 536786397142265740831951649713954860994243241, 3, 312607657736950968872469292773666873638, 78680050944445949695920, 26058175695089889113425349352443581459, 1582831614182571063346331258905278243015037463, 1046046415872648377836940607975356975800702184, 550922143034019419938925564828341202289088667, 711374856192015, 106258086704157036817350245175764557318805046394, 15, 1175104474697247545523, 26976030271422968867768, 41869337511614129560167536349945781247956286167, 250160045136289239975817847752846416446272846698, 8691541078534966257348499837193958491], 'label': '12383472844800000000.a.72._.BX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982267
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 775091612607593828872312873842079444219681210681, 11294048108773319697100339211, 125623686999325042500387198102823946643573114136, 51139, 62790242792323602706123791844660171407572833271, 1582832213323263912227984434335123157745808020, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 20425782484034858617041873533255337416409226871, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1596967960012633246087192373401084739300080128, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 20398254665261221013258219019884487921826643767, 14136345575155098716610954665459231501880967, 1046046415872648377836940607975356975800702184, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 1889445243333758336029440, 78680300993049909767760], 'label': '12383472844800000000.a.72._.BY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982268
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1569439845726593247789728190454429756821652323, 81605664384078613327767080344729156069520317492, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 271353686880060515645461286056115283, 599412046862023237869698230170513033612, 1175110898006197273692, 20425409899979339179015008092089167133307791445, 6266947687, 958003203, 62790242792323602706123791844660171407572833271, 82651709315358812024494646718194612784354660521, 1569439871784804614414430326640753505431202563, 62790241611121034557039131755983348269778758480, 41319158782134753016180479233078529032388927424, 4, 11292187887568847761698914648, 52879138664196519723600, 19160064011, 19228043907077760, 292525249144410728455979465707906711445255769589, 925553957237601290293211315296, 41346687469519728710100765386804967199432790407, 1073573922573113377451051958454076973247238419, 376628938963220, 13516122267693375, 1175092046559535104016, 27527506182453005869923628443291374005293380, 12, 26058176010867131326666363948678032487, 106258086704157036817350245175764557318805046394, 271380811056315150265583205240064084, 82651709306412346189710158266799515638433484887, 6758068358770575, 270558299219488586287362149954458288166629550602, 26976036694712758335367], 'label': '12383472844800000000.a.72._.BZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.BZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.BZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982269
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1569439845726593247789728190454429756821652323, 81605664384078613327767080344729156069520317492, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 271353686880060515645461286056115283, 599412046862023237869698230170513033612, 1175110898006197273692, 20425409899979339179015008092089167133307791445, 6266947687, 958003203, 62790242792323602706123791844660171407572833271, 82651709315358812024494646718194612784354660521, 1569439871784804614414430326640753505431202563, 62790241611121034557039131755983348269778758480, 41319158782134753016180479233078529032388927424, 4, 11292187887568847761698914648, 52879138664196519723600, 19160064011, 19228043907077760, 925553957237601290293211315296, 41346687469519728710100765386804967199432790407, 1073573922573113377451051958454076973247238419, 376628938963220, 13516122267693375, 1175092046559535104016, 27527506182453005869923628443291374005293380, 12, 26058176010867131326666363948678032487, 106258086704157036817350245175764557318805046394, 271380811056315150265583205240064084, 82651709306412346189710158266799515638433484887, 6758068358770575, 270558299219488586287362149954458288166629550602, 20398254682627847093745405817248618511788134419, 26976036694712758335367], 'label': '12383472844800000000.a.72._.CA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982270
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1569439845726593247789728190454429756821652323, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 271353686880060515645461286056115283, 599412046862023237869698230170513033612, 1175110898006197273692, 20425409899979339179015008092089167133307791445, 6266947687, 958003203, 62790242792323602706123791844660171407572833271, 82651709315358812024494646718194612784354660521, 1569439871784804614414430326640753505431202563, 62790241611121034557039131755983348269778758480, 41319158782134753016180479233078529032388927424, 4, 11292187887568847761698914648, 52879138664196519723600, 19160064011, 19228043907077760, 292525249144410728455979465707906711445255769589, 925553957237601290293211315296, 41346687469519728710100765386804967199432790407, 1073573922573113377451051958454076973247238419, 376628938963220, 13516122267693375, 21966949951235254227507178072204731469501883627, 1175092046559535104016, 27527506182453005869923628443291374005293380, 26058176010867131326666363948678032487, 12, 106258086704157036817350245175764557318805046394, 271380811056315150265583205240064084, 82651709306412346189710158266799515638433484887, 6758068358770575, 270558299219488586287362149954458288166629550602, 26976036694712758335367], 'label': '12383472844800000000.a.72._.CB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982271
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1569439845726593247789728190454429756821652323, 230299322009170667830764982830853675030026272137, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 271353686880060515645461286056115283, 599412046862023237869698230170513033612, 1175110898006197273692, 20425409899979339179015008092089167133307791445, 6266947687, 958003203, 62790242792323602706123791844660171407572833271, 82651709315358812024494646718194612784354660521, 1569439871784804614414430326640753505431202563, 62790241611121034557039131755983348269778758480, 41319158782134753016180479233078529032388927424, 4, 11292187887568847761698914648, 52879138664196519723600, 19160064011, 19228043907077760, 292525249144410728455979465707906711445255769589, 925553957237601290293211315296, 41346687469519728710100765386804967199432790407, 1073573922573113377451051958454076973247238419, 376628938963220, 13516122267693375, 1175092046559535104016, 27527506182453005869923628443291374005293380, 42392731809536732010555801423915406181853090553, 26058176010867131326666363948678032487, 12, 106258086704157036817350245175764557318805046394, 271380811056315150265583205240064084, 82651709306412346189710158266799515638433484887, 6758068358770575, 26976036694712758335367], 'label': '12383472844800000000.a.72._.CC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982272
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1569439845726593247789728190454429756821652323, 230299322009170667830764982830853675030026272137, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 271353686880060515645461286056115283, 599412046862023237869698230170513033612, 1175110898006197273692, 20425409899979339179015008092089167133307791445, 6266947687, 958003203, 62790242792323602706123791844660171407572833271, 82651709315358812024494646718194612784354660521, 1569439871784804614414430326640753505431202563, 62790241611121034557039131755983348269778758480, 41319158782134753016180479233078529032388927424, 4, 11292187887568847761698914648, 52879138664196519723600, 19160064011, 19228043907077760, 925553957237601290293211315296, 41346687469519728710100765386804967199432790407, 1073573922573113377451051958454076973247238419, 376628938963220, 13516122267693375, 1175092046559535104016, 27527506182453005869923628443291374005293380, 42392731809536732010555801423915406181853090553, 26058176010867131326666363948678032487, 12, 106258086704157036817350245175764557318805046394, 271380811056315150265583205240064084, 82651709306412346189710158266799515638433484887, 6758068358770575, 20398254682627847093745405817248618511788134419, 26976036694712758335367], 'label': '12383472844800000000.a.72._.CD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982273
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [42365204008121479953778053151554168422400367920, 17892896911491160051370824826880000000, 958003200, 19, 1266799911147535564800000, 81619428441349051484925681214142682659614899193, 145498545864170117885886917534646113001590092069, 7, 1215360, 376610217984000, 82665101977662036845305755822208674124968319518, 4, 271353675587871452984943575040000000, 13412044800, 83188496883951322966258911428551604970854729113, 1073572741115654913612646407485311175036979120, 9217802131333451478670355988480000000, 27527506182452690092631959163161804800000000, 36303894039155912709636096000000, 550922116975843703070107182711386931200000000, 936846064197104891461632000000, 505808445542400000, 368392147200, 61207410022733527886481384727744378901341937371, 119, 1596967351909045926590121631033536301436938080, 19562808545280000, 1198569185071628207834495770951680000000, 122000787836928000, 648463174065288433318064029912256833330545247257, 79855142614381854720000, 82142450441765617137631234142444977146236928000, 1582831605491029680326337652003804563836928000, 607832233316832054686273608089600000000, 61207410587157413021656104687130071860630686160, 193077561600, 11292160911544957796352000000, 2248001455555215360000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.CE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982274
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [19679063048, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 26058175706382000568938661543756737132, 17892896933268901200228212759992473604, 774582354029496608680973335535660028559501911040, 62790242792323602706123791844660171407572833271, 1569440167280699439679616559194825421531128473, 1073572750333465908889148963845156388929075238, 523394610793391949823591124693017655438909379, 1569439871784804614414430326640753505431202563, 523395791995941162759201736281355374649465688, 958008983, 26058193705683228013569283172941250714, 42365205189324065176610710675757578572618362947, 5783, 82114924133889228438664675228354211058754409070, 3, 7224950880, 8, 12973081695, 536786379775629915209228336086549388458285976, 11292162086643385820215120560, 327069376148788403217005440080, 1073573653390267499574232573358137152291808154, 27527523549087939008567036836178353987128979, 1046046416135778583213774851036710539179846532, 271353675587873700986775753885469460, 106258086704157036817350245175764557318805046394, 82637574740925526123640084230678536495016543954, 536786397142265457317976972757676616130560011, 14135764056005780544278558042970959425161633, 61194018558473235326982350901243803632975600637, 12804760384416000, 711387310239364, 1073572767173840376423587651961708308024390474, 1175092381343333386103], 'label': '12383472844800000000.a.72._.CF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982275
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [51704040612442263101284, 1569439845726593236497489671748373708800000000, 28151109513223077513619, 21777738900836704321536000000, 19939418763264078, 62790242792323602706123791844660171407572833271, 1175098804621626941284, 2248257927213773808484, 81619428423711080255641858653831805428668868597, 1046045539120682009465887668578177384448000000, 7, 35682825189020940030836736000000, 315777214062132212662272000000, 17637988913211644444021332377600000000, 1596595966948992463804838466290375140582633751, 2508769637580978490118507, 4, 40823664573915645510003978991505081074049370995, 83174360538113054126537557185415058317216530548, 19939425031336320, 27527532495536394754145887429920817152000000, 41855574045072411139010091752651646073045983935, 1240897290423665089104081, 526261673867387060334436024320000000, 2508769624399620860678400, 894381714737624309038374023331840000000, 689782333429205422270455743997543996085240674593, 13516135679692800, 958003204, 41332550550319350337264562960083772375040000003, 6266937600, 229748763681942658971864504179974348038079727423, 61716668870005380264497791374110820010511980804, 1888372332836690443142400, 41040, 19939438442252238, 41332550550319350337266451332398092315480992003, 2248002166949231616090, 62267220183532113742267724842290669594097206985, 249713846984569684, 376610217984004, 14135763784652409441460255626054205440000000], 'label': '12383472844800000000.a.12._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982276
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [19679063048, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 26058175706382000568938661543756737132, 773522917035070305700393535321222667439134672657, 17892896933268901200228212759992473604, 62790242792323602706123791844660171407572833271, 1569440167280699439679616559194825421531128473, 1073572750333465908889148963845156388929075238, 21444299326824106109834400270737620606442323958, 523394610793391949823591124693017655438909379, 1569439871784804614414430326640753505431202563, 523395791995941162759201736281355374649465688, 958008983, 26058193705683228013569283172941250714, 62253455240300076894862499669994165520430780644, 5783, 3, 7224950880, 8, 12973081695, 536786379775629915209228336086549388458285976, 327069376148788403217005440080, 11292162086643385820215120560, 1073573653390267499574232573358137152291808154, 27527523549087939008567036836178353987128979, 1046046416135778583213774851036710539179846532, 271353675587873700986775753885469460, 106258086704157036817350245175764557318805046394, 82637574740925526123640084230678536495016543954, 536786397142265457317976972757676616130560011, 14135764056005780544278558042970959425161633, 12804760384416000, 711387310239364, 1073572767173840376423587651961708308024390474, 1175092381343333386103], 'label': '12383472844800000000.a.72._.CG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982277
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [371337674932224000, 51704033477769953280000, 62763086410609898973070827472239359293569187737, 1046045234933202223520014448200148582400000000, 958003200, 1582831605491029680326337651881803776000000000, 21966950837188549587763645674461340158745112323, 13181357629440000, 9462427552413548027707392000000, 17683523987479403909087232000000, 271353675587871452984943575040000000, 41842181694842349807980956910182289662223266633, 448560, 126000, 27527506182452690092631959163161804800000000, 1862469205927495925760000, 3, 1134720, 8, 5760, 106378272000, 894381714737624309038374023331840000000, 26313083693369353016721801216000000000, 709643057146789592788718874596866503512676453688, 41332550532952714174086886683487449907200000000, 80640, 8946448455745580025685412413440000000, 1888372313608552611840000, 711374856192000, 1046046415872648377836940607975356975800702184, 78, 486957011853312000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 21458063679598724727430168841444893156771511108, 2248001455555215360000, 12972960000, 181581523200, 621068850134972678799360000000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.CH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982278
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [19679063048, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 26058175706382000568938661543756737132, 17892896933268901200228212759992473604, 774582354029496608680973335535660028559501911040, 62790242792323602706123791844660171407572833271, 1569440167280699439679616559194825421531128473, 1073572750333465908889148963845156388929075238, 523394610793391949823591124693017655438909379, 1569439871784804614414430326640753505431202563, 523395791995941162759201736281355374649465688, 958008983, 26058193705683228013569283172941250714, 42365205189324065176610710675757578572618362947, 5783, 3, 7224950880, 8, 12973081695, 536786379775629915209228336086549388458285976, 42392731809536732010555801423915406181853090553, 327069376148788403217005440080, 11292162086643385820215120560, 1073573653390267499574232573358137152291808154, 27527523549087939008567036836178353987128979, 1046046416135778583213774851036710539179846532, 271353675587873700986775753885469460, 106258086704157036817350245175764557318805046394, 82637574740925526123640084230678536495016543954, 536786397142265457317976972757676616130560011, 14135764056005780544278558042970959425161633, 61194018558473235326982350901243803632975600637, 12804760384416000, 711387310239364, 1073572767173840376423587651961708308024390474, 1175092381343333386103], 'label': '12383472844800000000.a.72._.CI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982279
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [19679063048, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 26058175706382000568938661543756737132, 773522917035070305700393535321222667439134672657, 17892896933268901200228212759992473604, 62790242792323602706123791844660171407572833271, 1569440167280699439679616559194825421531128473, 1073572750333465908889148963845156388929075238, 21444299326824106109834400270737620606442323958, 523394610793391949823591124693017655438909379, 1569439871784804614414430326640753505431202563, 523395791995941162759201736281355374649465688, 958008983, 26058193705683228013569283172941250714, 5783, 3, 7224950880, 8, 12973081695, 536786379775629915209228336086549388458285976, 327069376148788403217005440080, 11292162086643385820215120560, 42392731809536732010555801423915406181853090553, 1073573653390267499574232573358137152291808154, 27527523549087939008567036836178353987128979, 1046046416135778583213774851036710539179846532, 271353675587873700986775753885469460, 106258086704157036817350245175764557318805046394, 82637574740925526123640084230678536495016543954, 536786397142265457317976972757676616130560011, 14135764056005780544278558042970959425161633, 12804760384416000, 711387310239364, 1073572767173840376423587651961708308024390474, 1175092381343333386103], 'label': '12383472844800000000.a.72._.CJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982280
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [371337674932224000, 51704033477769953280000, 62763086410609898973070827472239359293569187737, 1046045234933202223520014448200148582400000000, 958003200, 814868859614328706385762417422505175201533077807, 1582831605491029680326337651881803776000000000, 21966950837188549587763645674461340158745112323, 13181357629440000, 9462427552413548027707392000000, 17683523987479403909087232000000, 271353675587871452984943575040000000, 41842181694842349807980956910182289662223266633, 448560, 126000, 27527506182452690092631959163161804800000000, 1862469205927495925760000, 3, 355358320714688014407452870099487204325321377932, 1134720, 8, 5760, 106378272000, 894381714737624309038374023331840000000, 26313083693369353016721801216000000000, 41332550532952714174086886683487449907200000000, 80640, 8946448455745580025685412413440000000, 1888372313608552611840000, 711374856192000, 78, 486957011853312000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 21458063679598724727430168841444893156771511108, 2248001455555215360000, 12972960000, 181581523200, 621068850134972678799360000000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.CK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982281
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 754184843664022904596359482596052841404763295421, 1189622736627174867400425488830715705535, 26313083693369431696791973967432284100, 83174359948173735404721268229938366089885762592, 271353675587924332123607416578093371, 20425409899979339179015008092089167133307791445, 1189877644614162143416159850987520010084, 82142078465805480168451639208904065394496134960, 26584438000511654841973337058109593681, 26058176304869086033670499133243778412, 936847332070047825752618496056, 1189877644614162143416159850987520131768, 1569439871784804614414430326640753505431202563, 80644, 6706144091, 794457213189845800814914865815777376845005425191, 230299321114788961020237013197067527228933105998, 52879137952472948799364, 10084, 526261673867387060347240777998837859, 21777817580906876817140867764, 131764, 7134678576758892, 3, 27527514873993768627625192887661499862357209, 17637988913211644444041271815523379131, 621068850134986194922586780215, 14135746418016877818290783345478285523104020, 518959447, 23, 1046046415872648377836940607975356975800702184, 1569439871784769563143642402613469967617768339, 8946448467037819617288072710688813402, 52879125147719789328487, 711375375191055, 20934668469130129512795321341005274289430765920, 8691558762060816206195203510527768266], 'label': '12383472844800000000.a.72._.CL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982282
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [371337674932224000, 51704033477769953280000, 62763086410609898973070827472239359293569187737, 1046045234933202223520014448200148582400000000, 958003200, 1582831605491029680326337651881803776000000000, 21966950837188549587763645674461340158745112323, 13181357629440000, 9462427552413548027707392000000, 17683523987479403909087232000000, 271353675587871452984943575040000000, 41842181694842349807980956910182289662223266633, 448560, 126000, 27527506182452690092631959163161804800000000, 1862469205927495925760000, 3, 355358320714688014407452870099487204325321377932, 1134720, 8, 5760, 106378272000, 894381714737624309038374023331840000000, 26313083693369353016721801216000000000, 41332550532952714174086886683487449907200000000, 80640, 8946448455745580025685412413440000000, 1888372313608552611840000, 711374856192000, 1046046415872648377836940607975356975800702184, 229748399293309047193708029538502017123136723881, 78, 486957011853312000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 21458063679598724727430168841444893156771511108, 2248001455555215360000, 12972960000, 181581523200, 621068850134972678799360000000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.CM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982283
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 1189622736627174867400425488830715705535, 81605664384078613327767080344729156069520317492, 26313083693369431696791973967432284100, 83174359948173735404721268229938366089885762592, 271353675587924332123607416578093371, 20425409899979339179015008092089167133307791445, 1189877644614162143416159850987520010084, 82142078465805480168451639208904065394496134960, 26584438000511654841973337058109593681, 26058176304869086033670499133243778412, 936847332070047825752618496056, 1189877644614162143416159850987520131768, 1569439871784804614414430326640753505431202563, 80644, 6706144091, 52879137952472948799364, 10084, 526261673867387060347240777998837859, 21777817580906876817140867764, 131764, 7134678576758892, 250683440337285124745464403772183871713779001535, 3, 27527514873993768627625192887661499862357209, 17637988913211644444041271815523379131, 621068850134986194922586780215, 14135746418016877818290783345478285523104020, 518959447, 23, 1569439871784769563143642402613469967617768339, 8946448467037819617288072710688813402, 52879125147719789328487, 711375375191055, 186280546585810081393525019561806733137754092769, 20934668469130129512795321341005274289430765920, 270558299219488586287362149954458288166629550602, 8691558762060816206195203510527768266], 'label': '12383472844800000000.a.72._.CN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982284
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 1189622736627174867400425488830715705535, 26313083693369431696791973967432284100, 83174359948173735404721268229938366089885762592, 271353675587924332123607416578093371, 20425409899979339179015008092089167133307791445, 1189877644614162143416159850987520010084, 82142078465805480168451639208904065394496134960, 26584438000511654841973337058109593681, 26058176304869086033670499133243778412, 936847332070047825752618496056, 1189877644614162143416159850987520131768, 1569439871784804614414430326640753505431202563, 80644, 6706144091, 794457213189845800814914865815777376845005425191, 52879137952472948799364, 10084, 526261673867387060347240777998837859, 21777817580906876817140867764, 131764, 7134678576758892, 3, 27527514873993768627625192887661499862357209, 17637988913211644444041271815523379131, 166391923047705226442292647710999573369360137536, 621068850134986194922586780215, 14135746418016877818290783345478285523104020, 518959447, 23, 1046046415872648377836940607975356975800702184, 1569439871784769563143642402613469967617768339, 8946448467037819617288072710688813402, 52879125147719789328487, 711375375191055, 20934668469130129512795321341005274289430765920, 270558299219488586287362149954458288166629550602, 8691558762060816206195203510527768266], 'label': '12383472844800000000.a.72._.CO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982285
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 251729485867706007481986059317925150219601466273, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1569439871784804614414430326640753505431202563, 41346687468993494487488745957693965625929434848, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 773536308204369161160941055303433840075469220418, 12454051703, 82128315590255577608153318080496841157358576652, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 78680050944433056609131, 20, 51124, 61716668887372050857875518191205974035048268921, 20398254682627847093745405817248618511788134419], 'label': '12383472844800000000.a.72._.CP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982286
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [51704040612442263101284, 628602078355175060470521040074082948574492624737, 28151109513223077513619, 21777738900836704321536000000, 61207409996683556420967161199290272973758003200, 2507696849796259582137604, 1582831605491029680326337651881803776000000000, 104, 711394535174481, 19678992480, 82128314695347610049309949426254017462272000081, 7, 62763086401918385051778940446991716333067222330, 1060181580763265331807035121829682479104000000, 315777214062132212662272000000, 2508769625111002422892800, 321554105582919832698703094218752000000, 27527827736558273012464657866256197908582481, 1266799911524327364312964, 83174360538113054126537557185415058317216530548, 19939425031336320, 1266799930710705796214880, 251192691302252570059571633508092878314323237006, 1240897290423665089104081, 526261673867387060334436024320000000, 261574790455, 12972960104, 26313083693369353016721801216000000000, 518918400, 17999301201541536121749504000000, 41040, 1269047919361513081196164, 41332922839142104556917254324087096748038396779, 274467916803, 2248002166949231616090, 174356582400, 27899803425359881283039518846343646217949373, 249713846984569684, 20934668469130129512795321341005274289430765920, 1175092046572508064055, 20397882107781907884843070658891091470380563144, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.12._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982287
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1569439871784804614414430326640753505431202563, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 231345366662592951806346934675418076258833098262, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 12454051703, 82128315590255577608153318080496841157358576652, 1046046415872648377836940607975356975800702184, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 106258086704157036817350245175764557318805046394, 78680050944433056609131, 20, 51124, 270558299219488586287362149954458288166629550602, 61716668887372050857875518191205974035048268921], 'label': '12383472844800000000.a.72._.CQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982288
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [774596117791542487732710733327495251716160469800, 128424084332544000, 903073255195090373456709943296000000000, 125609922638664696602108253319239583848169373509, 958003200, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 915068325296268187140096000000, 648548419927679631360000, 1215360, 25903107681056686080000, 1073573357894372663420745583649531087024929306, 4, 26058175695089837409372308766720000000, 27527506182452690092631959163161804800000000, 1060180981351218469783798427229880320000000000, 526261673867387060334436024320000000, 81619055830972226124653758918774751232000000000, 6266937600, 80640, 711374856192000, 376802619728920882248544958368187772047728040232, 193516646400, 6758061133824000, 1175091669949317120000, 26547467011581069173587968000000, 62763086384551749182600739331453282237359727999, 79855142614381854720000, 10080, 12, 61221174358133304891778071161985372160170594591, 40809528228093770787987575741893600367216431457, 20934668469130129512795321341005274289430765920, 20, 93, 12972960000, 621068850134972678799360000000], 'label': '12383472844800000000.a.72._.CR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982289
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [128424084332544000, 903073255195090373456709943296000000000, 958003200, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 915068325296268187140096000000, 648548419927679631360000, 1215360, 25903107681056686080000, 1073573357894372663420745583649531087024929306, 4, 26058175695089837409372308766720000000, 27527506182452690092631959163161804800000000, 1060180981351218469783798427229880320000000000, 526261673867387060334436024320000000, 81619055830972226124653758918774751232000000000, 6266937600, 80640, 711374856192000, 376802619728920882248544958368187772047728040232, 193516646400, 6758061133824000, 1175091669949317120000, 26547467011581069173587968000000, 79855142614381854720000, 10080, 12, 61221174358133304891778071161985372160170594591, 40809528228093770787987575741893600367216431457, 20934668469130129512795321341005274289430765920, 20, 93, 12972960000, 251206090970108235586809816962003635796561792608, 621068850134972678799360000000], 'label': '12383472844800000000.a.72._.CS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982290
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1046045234933202223520014448200148582400000000, 500306314030160812511020570924392092766767716424, 186294682601410943822563731412021448004280957406, 74, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 1569068764682673494987231400573916337824237955, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 230794445405002421201649282323439322171164611686, 27527506182452690092631959163161804800000000, 3, 7224940800, 59, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 1134720, 5760, 41346687460565058025882151413018183427630185033, 61207409996683556420967161199290272972800000000, 26313083693369353016721801216000000000, 518918400, 41332550532952714174086886683487449907200000000, 80640, 609776689223427721003008000000, 1888372313608552611840000, 711374856192000, 493338462769152000, 52879125147719270400000, 128047474114560000, 15, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 51120, 2248001455555215360000], 'label': '12383472844800000000.a.72._.CT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982291
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [1046045234933202223520014448200148582400000000, 355867950981398328796041643969523999528344193770, 292525248848906584593037586682973006957259407439, 74, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 1569068764682673494987231400573916337824237955, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 3, 7224940800, 59, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 1134720, 5760, 41346687460565058025882151413018183427630185033, 61207409996683556420967161199290272972800000000, 26313083693369353016721801216000000000, 518918400, 41332550532952714174086886683487449907200000000, 80640, 609776689223427721003008000000, 1888372313608552611840000, 711374856192000, 493338462769152000, 52879125147719270400000, 128047474114560000, 15, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 51120, 2248001455555215360000], 'label': '12383472844800000000.a.72._.CU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982292
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [51704033477769953280000, 355867950981398328796041643969523999528344193770, 1582831605491029680326337651881803776000000000, 104, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 773522545345914566687156741409811546494255127171, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 3, 7224940800, 1134720, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 5760, 41346687460565058025882151413018183427630185033, 26313083693369353016721801216000000000, 518918400, 80640, 609776689223427721003008000000, 711374856192000, 1888372313608552611840000, 12804747411456000, 371714285150208000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 51120, 20, 2248001455555215360000, 1887197221938603294720000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.CV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982293
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [51704033477769953280000, 1582831605491029680326337651881803776000000000, 104, 292525249430697070491683169557181706012852684005, 773550443959207373945106767237517946264590310931, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 1569068764682673494987231400573916337824237955, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 3, 628588314871266698601950976261077954578652940875, 7224940800, 1134720, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 5760, 41346687460565058025882151413018183427630185033, 26313083693369353016721801216000000000, 518918400, 80640, 609776689223427721003008000000, 711374856192000, 1888372313608552611840000, 12804747411456000, 371714285150208000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 51120, 20, 2248001455555215360000, 1887197221938603294720000], 'label': '12383472844800000000.a.72._.CW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982295
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [371337674932224000, 51704033477769953280000, 62763086410609898973070827472239359293569187737, 1046045234933202223520014448200148582400000000, 958003200, 814868859614328706385762417422505175201533077807, 1582831605491029680326337651881803776000000000, 21966950837188549587763645674461340158745112323, 13181357629440000, 9462427552413548027707392000000, 17683523987479403909087232000000, 271353675587871452984943575040000000, 41842181694842349807980956910182289662223266633, 448560, 126000, 27527506182452690092631959163161804800000000, 1862469205927495925760000, 3, 1134720, 8, 5760, 106378272000, 894381714737624309038374023331840000000, 26313083693369353016721801216000000000, 709643057146789592788718874596866503512676453688, 41332550532952714174086886683487449907200000000, 80640, 8946448455745580025685412413440000000, 1888372313608552611840000, 711374856192000, 78, 486957011853312000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 21458063679598724727430168841444893156771511108, 2248001455555215360000, 12972960000, 181581523200, 621068850134972678799360000000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.CY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982296
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [13516122267648000, 51704033477769953280000, 958003200, 21777738900836704321536000000, 86400, 1582831605491029680326337651881803776000000000, 1046045825661957664949265792659354296751254389, 766800, 26, 62790614195176580814351398501669241983172246509, 773536680189275738342588172487187681672533955710, 376610217984000, 506519820398592000, 62239692095575568368273863408198316786047905767, 19160064000, 27527506182452690092631959163161804800000000, 3, 550922116975843703070107182711386931200000000, 526261673867387060334436024320000000, 305291636072840466137088000000, 41346687460565058025882151413018183427630185033, 8863943024101665264500736000000, 2561648749547339612160000, 26313083693369353016721801216000000000, 61744196367241383877773484402971928166400000000, 41319158773188277730258038703354019840000000000, 1941149256871928463360000, 1175091669949317120000, 10080, 18598592312775672096227328000000, 607832233316832054686273608089600000000, 78680050944432537600000, 295241021878258318770436335206400000000, 86, 87657292800, 396677106599649730980550660207767569205418284251, 20934668469130129512795321341005274289430765920, 20, 1267872820933141463040000, 372049049788416000, 621068850134972678799360000000, 373680], 'label': '12383472844800000000.a.72._.CZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.CZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.CZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982297
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [82128314721405776608235027648844352536809651283, 1175092046560493238976, 753675585068830402222313924492930955914155285805, 271353697365610354193696947322505607, 621068850135223103677796454983, 711387310355303, 62790242792323602706123791844660171407572833271, 12972965775, 536787282577531434713591736222933801792687420, 82142078465805480168451639208904065394496134960, 958003220, 61716668869750480803089416125233506991017818745, 61194018246136940717550898607731145832858919028, 80644, 7, 244001575673861772, 5763, 251206081245582151754765904661979753812356757680, 1569439845726593552274782413931531152842530659, 3, 19562821957375923, 17637989534280496827245515013286963139, 14135755109557335284278770002870275172608563, 14135764310913463046657710766700928642384572, 621068850134991906862946186206, 23, 26976152272552812806420, 11292162086899146002847907680, 19160185692, 41319158773188286572424565976097279268396341795, 62762715008266772500267999584684344795605416278, 19228056361119379, 8691540784535440567232808207382972804, 35672339662736053476728342464580, 167465877229062316147271583136128316384191533923, 20934668469130129512795321341005274289430765920, 61194019444434762672942067827911661139287990986, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.16._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982298
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [128424084332544000, 1596967351909045926592656303643616190627840000, 295767283552125705830790710649483264000, 82114550951474212665368765646686554347346108114, 62790242792323602706123791844660171407572833271, 17683523987479403909087233099440, 26841466486742364681928705215360, 305291636072840466137088847440, 13181357629440000, 274467916823, 53952034933325168640000, 25903107681056686080000, 40823664556294076358188055232273839123666268150, 42365205189052676123487399026348096063192964561, 125596158599032229673815888558453317666322509336, 82142450441765617137631288094357909683568640000, 4, 894907976411491696098830836754214912000, 62239691487480222192434817640647025097367481006, 11292160911544957796352493920, 271353675587871452992078246391808000, 126000, 8, 61716668861058931187681526895336375097917440000, 650032244647500641842603897409384117956849801001, 711374856192000, 41040, 12804747411456000, 35694117349932484988633088847440, 1175091669949317120000, 85, 83188495676698819361153783263255205617827840000, 10080, 13412044907, 14135746418016246263863834172346119454720000, 17637988913211644444028090438733824000, 15, 209887303591089618062867200600321176079461526936, 21777738900836704321536051120, 518918416, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.DA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982299
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [18720979200, 13516122267648000, 17892896911491160051370824826880000000, 958003200, 20425781580706685949950381698514209996800000000, 586139361924057285006134066166880661777081111106, 523394610793391012977475223548225126400000000, 26, 21980714893932788867981113015123998357100785471, 53952034933325168640000, 62253828423767641920502598897733151119057437353, 376610217984000, 506519820398592000, 271353675587871452984943575040000000, 13412044800, 17988815623552244375224320000000, 126000, 87218208000, 3, 1060180981351218469783798427229880320000000000, 903328163193369889064059435745280000000, 5760, 229776298809930026769892750647534680442816631605, 8863943024101665264500736000000, 1537920, 41841809397328088940800577928005943296000000000, 1318503944625305518080000, 20425409908670888478244308271058948793419256317, 1060181581026396157852506677332357215265861753, 41869710095398320312149127098037960959533440088, 631554428124264425324544000000, 1175091669949317120000, 607832233316832054686273608089600000000, 14135746418016246263783979029731737600000000, 86, 26851952064731656428453888000000, 11292160911544957796352000000, 20, 90720, 268719897600, 372049049788416000, 1887197221938603294720000, 373680], 'label': '12383472844800000000.a.72._.DB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982300
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [18720979200, 13516122267648000, 17892896911491160051370824826880000000, 958003200, 20425781580706685949950381698514209996800000000, 523394610793391012977475223548225126400000000, 26, 21980714893932788867981113015123998357100785471, 375246943037136600269253623073069136951485322831, 53952034933325168640000, 62253828423767641920502598897733151119057437353, 376610217984000, 506519820398592000, 271353675587871452984943575040000000, 13412044800, 17988815623552244375224320000000, 126000, 87218208000, 3, 1060180981351218469783798427229880320000000000, 903328163193369889064059435745280000000, 5760, 292539013765570577003519416121758904458325818236, 8863943024101665264500736000000, 1537920, 41841809397328088940800577928005943296000000000, 1318503944625305518080000, 20425409908670888478244308271058948793419256317, 1060181581026396157852506677332357215265861753, 631554428124264425324544000000, 1175091669949317120000, 607832233316832054686273608089600000000, 14135746418016246263783979029731737600000000, 86, 26851952064731656428453888000000, 11292160911544957796352000000, 20, 268719897600, 90720, 372049049788416000, 1887197221938603294720000, 373680], 'label': '12383472844800000000.a.72._.DC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982301
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [8691540457466064418335919964160000000, 186810624000, 13516122267648000, 493715072987136000, 621572402461017047040000, 8852650863190120306704384000000, 766800, 14136042177086128567352752918758530455163531, 315099714629636469098325387901411165797714041068, 7, 53952034933325168640000, 62763086401918385051778940446991716333067222330, 1190148998289750014869144794562560000000, 376610217984000, 894907976411491696098708459356160000000, 4, 61221546064647455726871145303192068390338025673, 87218208000, 12454041600, 526261673867387060334436024320000000, 35672339611031648284311552000000, 295495929876537834377785827655680000000, 518918400, 83188495676698819361151248590523124940800000000, 23, 6266937600, 1139040, 1596967351909045926590121630911535513600000000, 41040, 631554428124264425324544000000, 166391923351621369342474878967890504401479741430, 1219680, 26976017466662584320000, 10080, 14135746418016246263783979029731737600000000, 27900402837406089569626235599649233808799913, 86, 61716669755448895899426595084596433578330433986, 107, 26841466486742364681928704000000, 11292160911544957796352000000, 2248001455555215360000], 'label': '12383472844800000000.a.72._.DD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982302
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [8691540457466064418335919964160000000, 186810624000, 13516122267648000, 493715072987136000, 621572402461017047040000, 8852650863190120306704384000000, 766800, 251729113284176750632499280891519689579169240395, 14136042177086128567352752918758530455163531, 315099714629636469098325387901411165797714041068, 815901512507986544770454772743803142925582122062, 7, 53952034933325168640000, 62763086401918385051778940446991716333067222330, 1190148998289750014869144794562560000000, 376610217984000, 894907976411491696098708459356160000000, 4, 61221546064647455726871145303192068390338025673, 87218208000, 12454041600, 526261673867387060334436024320000000, 35672339611031648284311552000000, 295495929876537834377785827655680000000, 518918400, 83188495676698819361151248590523124940800000000, 23, 6266937600, 1139040, 1596967351909045926590121630911535513600000000, 41040, 631554428124264425324544000000, 1219680, 26976017466662584320000, 10080, 14135746418016246263783979029731737600000000, 27900402837406089569626235599649233808799913, 86, 61716669755448895899426595084596433578330433986, 107, 26841466486742364681928704000000, 11292160911544957796352000000, 2248001455555215360000], 'label': '12383472844800000000.a.72._.DE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982303
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [766800, 86, 8852650863190120306704384000000, 166391923351621369342474878967890504401479741430, 518918400, 14135746418016246263783979029731737600000000, 493715072987136000, 10080, 27900402837406089569626235599649233808799913, 14136042177086128567352752918758530455163531, 6266937600, 35672339611031648284311552000000, 631554428124264425324544000000, 1219680, 12454041600, 1139040, 107, 61221546064647455726871145303192068390338025673, 26841466486742364681928704000000, 2248001455555215360000, 13516122267648000, 7, 53952034933325168640000, 61716669755448895899426595084596433578330433986, 8691540457466064418335919964160000000, 564722962999815712082421327889007914327554491547, 26976017466662584320000, 4, 1596967351909045926590121630911535513600000000, 1190148998289750014869144794562560000000, 41040, 11292160911544957796352000000, 894907976411491696098708459356160000000, 83188495676698819361151248590523124940800000000, 62763086401918385051778940446991716333067222330, 526261673867387060334436024320000000, 186810624000, 23, 295495929876537834377785827655680000000, 251729113284176750632499280891519689579169240395, 621572402461017047040000, 376610217984000, 87218208000], 'label': '12383472844800000000.a.72._.DF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982304
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [8691540457466064418335919964160000000, 186810624000, 13516122267648000, 493715072987136000, 621572402461017047040000, 8852650863190120306704384000000, 766800, 564722962999815712082421327889007914327554491547, 14136042177086128567352752918758530455163531, 815901512507986544770454772743803142925582122062, 7, 53952034933325168640000, 62763086401918385051778940446991716333067222330, 1190148998289750014869144794562560000000, 376610217984000, 894907976411491696098708459356160000000, 4, 61221546064647455726871145303192068390338025673, 87218208000, 12454041600, 526261673867387060334436024320000000, 35672339611031648284311552000000, 295495929876537834377785827655680000000, 518918400, 83188495676698819361151248590523124940800000000, 23, 6266937600, 1139040, 1596967351909045926590121630911535513600000000, 41040, 631554428124264425324544000000, 1219680, 26976017466662584320000, 10080, 14135746418016246263783979029731737600000000, 27900402837406089569626235599649233808799913, 86, 61716669755448895899426595084596433578330433986, 107, 26841466486742364681928704000000, 11292160911544957796352000000, 2248001455555215360000], 'label': '12383472844800000000.a.72._.DG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982305
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [186810624000, 13516122267648000, 17892896911491160051370824826880000000, 493715072987136000, 20425781580706685949950381698514209996800000000, 61207782606797250955196096083189092976771644835, 1914173239405265879040000, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 1502640, 62790241602174586101293498851172076748800000000, 8842165285200828560179200000000, 376610217984000, 847440, 21994850049885171069102088491126106885570646409, 4, 61221546064647455726871145303192068390338025673, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 622747494130966364160000, 119, 29, 518918400, 77607141158826639360000, 599157138536674346113573139251200000000, 23, 35988116825093780496973824000000, 6266937600, 1569068738098218464687696164807562735282853648, 80640, 631554428124264425324544000000, 753124662977912716846988906065608327919847774848, 1175091669949317120000, 12, 10080, 52879125147719270400000, 27145951539892951936794624000000, 668847293270944205481044895296202913035117434182, 1073572741115654913612646407363310387200000000, 121680], 'label': '12383472844800000000.a.72._.DH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982306
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [186810624000, 13516122267648000, 17892896911491160051370824826880000000, 493715072987136000, 20425781580706685949950381698514209996800000000, 61207782606797250955196096083189092976771644835, 1914173239405265879040000, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 1502640, 62790241602174586101293498851172076748800000000, 8842165285200828560179200000000, 376610217984000, 847440, 21994850049885171069102088491126106885570646409, 4, 61221546064647455726871145303192068390338025673, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 355358692699076561008069785270935419737367131362, 622747494130966364160000, 119, 29, 106258086400240946684633201507834223360315593667, 77607141158826639360000, 518918400, 599157138536674346113573139251200000000, 23, 35988116825093780496973824000000, 6266937600, 1569068738098218464687696164807562735282853648, 80640, 631554428124264425324544000000, 753124662977912716846988906065608327919847774848, 1175091669949317120000, 12, 10080, 52879125147719270400000, 27145951539892951936794624000000, 1073572741115654913612646407363310387200000000, 121680], 'label': '12383472844800000000.a.72._.DI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982307
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [186810624000, 13516122267648000, 493715072987136000, 187849987022002237353072278841580941605263430386, 670416732516987415591234821713544956408416330850, 14136042177086128567352752918758530455163531, 620499492675411148800000, 1190148998289750014869144794562560000000, 376610217984000, 8842165285200828560179200000000, 61221546064647455726871145303192068390338025673, 87218208000, 1889445223394158510080000, 3, 550922116975843703070107182711386931200000000, 903328163193369889064059435745280000000, 526261673867387060334436024320000000, 17366635237623772991036388802560000000, 5760, 1496880, 327069374973677170458624000000, 518918400, 83188495676698819361151248590523124940800000000, 1596967351909045926590121630911535513600000000, 41040, 631554428124264425324544000000, 1219680, 12, 1060181302633988659528189621777679151327599345, 78680050944432537600000, 27900402837406089569626235599649233808799913, 14135746418016246263783979029731737600000000, 86, 107, 26851952064731656428453888000000, 11292160911544957796352000000, 2248001455555215360000, 12972960000], 'label': '12383472844800000000.a.72._.DJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982308
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [12454163295, 121683, 82128314721660685216291232479384657506957645380, 82128314721932038576101915671163184877685037932, 26313084630215443116934373740585108336, 61730804634061384802903776240876694815765519444, 62790242792323602706123791844660171407572833271, 1060180998717854632961476951847221245006003187, 20398254395807012617626978480142757642939398339, 21777792852871637660116694884, 78680050944445949776576, 26058176022159885659504646075411869328, 61730804625369871785388726876807783050818691863, 61730804625114937262224607338232868924800614397, 7224950887, 20935041626013293178978535577194585423841762032, 27527532495537298530390127296141153487628167, 251206081245582151754765904661979753812356757680, 271354296656748563988270401319908411, 958044256, 83174360538113054126537557185415058317216530548, 3, 925553929188687177543923526484, 550550723069332039000463171717293765205290145, 82128315876550186713491193069488533074015328132, 1046045235459499874217192576927749490176722620, 1175091669968477194080, 90731, 80643, 26584437368957224469707456178869278023, 10080, 126016, 26584437368957276173746645858446940259, 20934668469130129512795321341005274289430765920, 25903127243866189408567], 'label': '12383472844800000000.a.16._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982309
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [186810624000, 13516122267648000, 493715072987136000, 814868859926673240874911286091344369717184978532, 187849987022002237353072278841580941605263430386, 564722962999815712082421327889007914327554491547, 14136042177086128567352752918758530455163531, 620499492675411148800000, 1190148998289750014869144794562560000000, 376610217984000, 8842165285200828560179200000000, 61221546064647455726871145303192068390338025673, 87218208000, 1889445223394158510080000, 3, 550922116975843703070107182711386931200000000, 903328163193369889064059435745280000000, 526261673867387060334436024320000000, 17366635237623772991036388802560000000, 5760, 1496880, 327069374973677170458624000000, 518918400, 83188495676698819361151248590523124940800000000, 1596967351909045926590121630911535513600000000, 41040, 631554428124264425324544000000, 1219680, 12, 1060181302633988659528189621777679151327599345, 78680050944432537600000, 27900402837406089569626235599649233808799913, 14135746418016246263783979029731737600000000, 86, 107, 26851952064731656428453888000000, 11292160911544957796352000000, 2248001455555215360000, 12972960000], 'label': '12383472844800000000.a.72._.DK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982310
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [186810624000, 13516122267648000, 493715072987136000, 20425781580706685949950381698514209996800000000, 1914173239405265879040000, 21777738900836704321536000000, 1582831605491029680326337651881803776000000000, 766800, 14136042177086128567352752918758530455163531, 26584437368957224469706744791040000000, 62790241602174586101293498851172076748800000000, 8842165285200828560179200000000, 17637988913211644444021332377600000000, 894907976411491696098708459356160000000, 4, 61221546064647455726871145303192068390338025673, 271353675587871452984943575040000000, 13412044800, 27527506182452690092631959163161804800000000, 355358692699076561008069785270935419737367131362, 550922116975843703070107182711386931200000000, 622747494130966364160000, 1583280, 119, 29, 518918400, 6266937600, 1569068738098218464687696164807562735282853648, 80640, 711374856192000, 753124662977912716846988906065608327919847774848, 1175091669949317120000, 10080, 78680050944432537600000, 295241021878258318770436335206400000000, 27900402837406089569626235599649233808799913, 15, 26851952064731656428453888000000, 372049049788416000, 621068850134972678799360000000, 121680, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.DL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982311
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [8691540457466064418335919964160000000, 590465598079208281695237219287040000000, 766800, 61716669755975157877779680421331151514551477784, 915068325296268187140096000000, 13181357629440000, 53952034933325168640000, 1190148998289750014869144794562560000000, 55, 271353675587871452984943575040000000, 19160064000, 131760, 27527506182452690092631959163161804800000000, 3, 537158963568017579860194109560533915498682728, 5760, 524422692793823729874636922468651098695278022477, 29, 518918400, 23, 6266937600, 35988116825093780496973824000000, 1569068738098218464687696164807562735282853648, 355938105600, 599412046534953861720922631700480000000, 122000787836928000, 1318503944625305518080000, 711374856192000, 631554428124264425324544000000, 41040, 20398254074524233259857749739351048192000000000, 1569440149914099558618215809786900328171759370, 27145951539892951936794624000000, 1583203894585103155852482993570621486392892073, 1073572741115654913612646407363310387200000000, 107, 210396563324059903230818185909527850772610602761, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 88176211200, 2248001455555215360000], 'label': '12383472844800000000.a.72._.DM', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DM', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DM', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982312
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 18, 'diagramx': None, 'generators': [371337674932224000, 18720979200, 51704033477769953280000, 19, 268280812800, 61716668861058931187680852443808766361600000000, 187849987022002237353072278841580941605263430386, 1583203902733937176404494051918115005407948804, 894653068413212180491358966906880000000, 493003698130944000, 20397882966895840488744944998739498735362153748, 26830174325830819724132352000000, 725760, 376610217984000, 35682825189020940030836736000000, 315777214062132212662272000000, 4, 103, 26058175695089837409372308766720000000, 536786370557827456806323203681655193600000000, 27527506182452690092631959163161804800000000, 19228043907072000, 885961527955746116073023046942720000000, 82114922935583164447538602183159814553600000000, 526261673867387060334436024320000000, 1134720, 5760, 42364832926814394313175736678894149956887170493, 604967804750265051842288525407793037769728270733, 518918400, 80640, 8946448455745580025685412413440000000, 82665101378504863257359432694141415212474204313, 1175091669949317120000, 12, 11292160911544957796352000000, 26536174850669524215791616000000, 20934668469130129512795321341005274289430765920, 93405312000, 12972960000, 1887197221938603294720000], 'label': '12383472844800000000.a.72._.DN', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DN', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DN', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982313
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 251729485867706007481986059317925150219601466273, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1073573332115737821119761151376091599797992376, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 773536308204369161160941055303433840075469220418, 12454051703, 82128315590255577608153318080496841157358576652, 42392731809536732010555801423915406181853090553, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 78680050944433056609131, 20, 51124, 61716668887372050857875518191205974035048268921, 20398254682627847093745405817248618511788134419], 'label': '12383472844800000000.a.72._.DO', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DO', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DO', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982314
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [128424084332544000, 903073255195090373456709943296000000000, 958003200, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 628574551135024077501083743284752034555828265790, 915068325296268187140096000000, 648548419927679631360000, 1215360, 25903107681056686080000, 1073573357894372663420745583649531087024929306, 4, 26058175695089837409372308766720000000, 146544962787987705457940682574078545529540490872, 27527506182452690092631959163161804800000000, 1060180981351218469783798427229880320000000000, 526261673867387060334436024320000000, 81619055830972226124653758918774751232000000000, 6266937600, 27527827728371400294134345998000042874440431, 80640, 711374856192000, 193516646400, 6758061133824000, 1175091669949317120000, 26547467011581069173587968000000, 62763086384551749182600739331453282237359727999, 79855142614381854720000, 10080, 12, 209901439033591536248488517904575045888817199364, 40809528228093770787987575741893600367216431457, 20, 93, 12972960000, 621068850134972678799360000000], 'label': '12383472844800000000.a.72._.DP', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DP', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DP', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982315
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [128424084332544000, 903073255195090373456709943296000000000, 958003200, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 292001855419578892533811449152107038710274166928, 915068325296268187140096000000, 648548419927679631360000, 1215360, 25903107681056686080000, 1073573357894372663420745583649531087024929306, 4, 690814615206280188346368298061206739241455286560, 26058175695089837409372308766720000000, 27527506182452690092631959163161804800000000, 1060180981351218469783798427229880320000000000, 104675253917208575830026582344238561074977128868, 526261673867387060334436024320000000, 81619055830972226124653758918774751232000000000, 6266937600, 80640, 711374856192000, 193516646400, 6758061133824000, 62763086384551749182600739331453282237359727999, 1175091669949317120000, 26547467011581069173587968000000, 79855142614381854720000, 10080, 12, 61221174358133304891778071161985372160170594591, 40809528228093770787987575741893600367216431457, 20, 93, 12972960000, 621068850134972678799360000000], 'label': '12383472844800000000.a.72._.DQ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DQ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DQ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982316
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [128424084332544000, 903073255195090373456709943296000000000, 958003200, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 628574551135024077501083743284752034555828265790, 915068325296268187140096000000, 648548419927679631360000, 1215360, 25903107681056686080000, 1073573357894372663420745583649531087024929306, 4, 26058175695089837409372308766720000000, 146544962787987705457940682574078545529540490872, 27527506182452690092631959163161804800000000, 1060180981351218469783798427229880320000000000, 526261673867387060334436024320000000, 81619055830972226124653758918774751232000000000, 6266937600, 80640, 711374856192000, 193516646400, 6758061133824000, 1175091669949317120000, 26547467011581069173587968000000, 62763086384551749182600739331453282237359727999, 79855142614381854720000, 10080, 12, 209901439033591536248488517904575045888817199364, 40809528228093770787987575741893600367216431457, 20934668469130129512795321341005274289430765920, 20, 93, 12972960000, 621068850134972678799360000000], 'label': '12383472844800000000.a.72._.DR', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DR', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DR', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982317
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [210919585672614977383012698555212874475802653395, 17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 231345366662592951806346934675418076258833098262, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 12454051703, 82128315590255577608153318080496841157358576652, 42392731809536732010555801423915406181853090553, 1046046415872648377836940607975356975800702184, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 106258086704157036817350245175764557318805046394, 78680050944433056609131, 20, 51124, 61716668887372050857875518191205974035048268921], 'label': '12383472844800000000.a.72._.DS', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DS', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DS', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982318
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [766800, 86, 8852650863190120306704384000000, 585616339020049425006945610992938461419077722422, 518918400, 14135746418016246263783979029731737600000000, 493715072987136000, 10080, 27900402837406089569626235599649233808799913, 14136042177086128567352752918758530455163531, 6266937600, 35672339611031648284311552000000, 631554428124264425324544000000, 1219680, 12454041600, 1139040, 107, 26841466486742364681928704000000, 2248001455555215360000, 13516122267648000, 53952034933325168640000, 7, 61716669755448895899426595084596433578330433986, 8691540457466064418335919964160000000, 26976017466662584320000, 230285557665613852226490832736688208215412267600, 1596967351909045926590121630911535513600000000, 4, 1190148998289750014869144794562560000000, 41040, 11292160911544957796352000000, 894907976411491696098708459356160000000, 83188495676698819361151248590523124940800000000, 775091612885714900999229696319475389875657754708, 62763086401918385051778940446991716333067222330, 526261673867387060334436024320000000, 186810624000, 23, 295495929876537834377785827655680000000, 621572402461017047040000, 376610217984000, 87218208000], 'label': '12383472844800000000.a.72._.DT', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DT', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DT', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982319
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [12454163295, 121683, 82128314721660685216291232479384657506957645380, 82128314721932038576101915671163184877685037932, 774045568240729293364569839928623709444409314701, 26313084630215443116934373740585108336, 61730804634061384802903776240876694815765519444, 62790242792323602706123791844660171407572833271, 1060180998717854632961476951847221245006003187, 20398254395807012617626978480142757642939398339, 21777792852871637660116694884, 78680050944445949776576, 26058176022159885659504646075411869328, 61730804625369871785388726876807783050818691863, 61730804625114937262224607338232868924800614397, 7224950887, 20935041626013293178978535577194585423841762032, 27527532495537298530390127296141153487628167, 251206081245582151754765904661979753812356757680, 271354296656748563988270401319908411, 958044256, 83174360538113054126537557185415058317216530548, 3, 925553929188687177543923526484, 82128315876550186713491193069488533074015328132, 20398254665261221013258219019884487921826643767, 1175091669968477194080, 90731, 80643, 26584437368957224469707456178869278023, 10080, 126016, 26584437368957276173746645858446940259, 20934668469130129512795321341005274289430765920, 25903127243866189408567], 'label': '12383472844800000000.a.16._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982320
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 11294048108773319697100339211, 125623686999325042500387198102823946643573114136, 51139, 733249802906078304681031494861620580240336648920, 1582832213323263912227984434335123157745808020, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 20398254665261221013258219019884487921826643767, 14136345575155098716610954665459231501880967, 42365204329930502975631771937387451365860617147, 83174360538384416632999145275695115295107521193, 61221546637491528232325676191754591851517563580, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 21966950541700869064690775648050129756910336016, 1889445243333758336029440, 78680300993049909767760], 'label': '12383472844800000000.a.72._.DU', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DU', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DU', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982321
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [766800, 86, 8852650863190120306704384000000, 585616339020049425006945610992938461419077722422, 518918400, 14135746418016246263783979029731737600000000, 493715072987136000, 10080, 27900402837406089569626235599649233808799913, 14136042177086128567352752918758530455163531, 6266937600, 35672339611031648284311552000000, 631554428124264425324544000000, 292511114292629335544508646848451863160236102415, 1219680, 12454041600, 1139040, 107, 26841466486742364681928704000000, 2248001455555215360000, 13516122267648000, 7, 53952034933325168640000, 61716669755448895899426595084596433578330433986, 8691540457466064418335919964160000000, 26976017466662584320000, 4, 1596967351909045926590121630911535513600000000, 1190148998289750014869144794562560000000, 41040, 11292160911544957796352000000, 894907976411491696098708459356160000000, 83188495676698819361151248590523124940800000000, 775091612885714900999229696319475389875657754708, 526261673867387060334436024320000000, 186810624000, 23, 295495929876537834377785827655680000000, 621572402461017047040000, 376610217984000, 87218208000], 'label': '12383472844800000000.a.72._.DV', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DV', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DV', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982322
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [766800, 86, 8852650863190120306704384000000, 585616339020049425006945610992938461419077722422, 518918400, 14135746418016246263783979029731737600000000, 493715072987136000, 10080, 27900402837406089569626235599649233808799913, 14136042177086128567352752918758530455163531, 6266937600, 815901512507986544770454772743803142925582122062, 35672339611031648284311552000000, 631554428124264425324544000000, 1219680, 12454041600, 1139040, 107, 26841466486742364681928704000000, 2248001455555215360000, 13516122267648000, 53952034933325168640000, 7, 61716669755448895899426595084596433578330433986, 8691540457466064418335919964160000000, 26976017466662584320000, 230285557665613852226490832736688208215412267600, 1596967351909045926590121630911535513600000000, 4, 1190148998289750014869144794562560000000, 41040, 11292160911544957796352000000, 894907976411491696098708459356160000000, 83188495676698819361151248590523124940800000000, 62763086401918385051778940446991716333067222330, 526261673867387060334436024320000000, 186810624000, 23, 295495929876537834377785827655680000000, 621572402461017047040000, 376610217984000, 87218208000], 'label': '12383472844800000000.a.72._.DW', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DW', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DW', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982323
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [128424084332544000, 903073255195090373456709943296000000000, 958003200, 21777738900836704321536000000, 523394610793391012977475223548225126400000000, 628574551135024077501083743284752034555828265790, 915068325296268187140096000000, 648548419927679631360000, 1215360, 25903107681056686080000, 1073573357894372663420745583649531087024929306, 165868900134750953659287243379906008796531446388, 4, 26058175695089837409372308766720000000, 27527506182452690092631959163161804800000000, 1060180981351218469783798427229880320000000000, 526261673867387060334436024320000000, 81619055830972226124653758918774751232000000000, 6266937600, 27527827728371400294134345998000042874440431, 80640, 711374856192000, 193516646400, 6758061133824000, 1175091669949317120000, 26547467011581069173587968000000, 79855142614381854720000, 10080, 12, 40809528228093770787987575741893600367216431457, 20, 93, 12972960000, 251206090970108235586809816962003635796561792608, 621068850134972678799360000000], 'label': '12383472844800000000.a.72._.DX', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DX', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DX', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982324
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [766800, 86, 8852650863190120306704384000000, 585616339020049425006945610992938461419077722422, 518918400, 14135746418016246263783979029731737600000000, 493715072987136000, 10080, 27900402837406089569626235599649233808799913, 14136042177086128567352752918758530455163531, 6266937600, 815901512507986544770454772743803142925582122062, 35672339611031648284311552000000, 631554428124264425324544000000, 292511114292629335544508646848451863160236102415, 1219680, 12454041600, 1139040, 107, 26841466486742364681928704000000, 2248001455555215360000, 13516122267648000, 7, 53952034933325168640000, 61716669755448895899426595084596433578330433986, 8691540457466064418335919964160000000, 26976017466662584320000, 4, 1596967351909045926590121630911535513600000000, 1190148998289750014869144794562560000000, 41040, 11292160911544957796352000000, 894907976411491696098708459356160000000, 83188495676698819361151248590523124940800000000, 526261673867387060334436024320000000, 186810624000, 23, 295495929876537834377785827655680000000, 621572402461017047040000, 376610217984000, 87218208000], 'label': '12383472844800000000.a.72._.DY', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DY', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DY', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982325
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [1889445243333758336029440, 18720979211, 3, 271353991366353387944847459587932803, 1073573922318241029734649378969679360154325882, 19228056880122743, 550922412471774516454008006090518703758415479, 27527506708715289513923480514869042589747136, 5768, 2507696721372095256417127, 1060181867312746447307655649213087934533280010, 9217802131335960248313983666140886899, 42378596358614680986089187692771624752221228060, 1596967647404976412905913105081199821342668749, 376617443050812, 621071358904617017857186093928, 1181202549845296598003006172117611492408, 62253828423767641920502598897733151119057437353, 20398254665261221013258219019884487921826643767, 2484042095345618232517680, 78680300993049909767760, 794471349830111037823853790805478540136022778360, 20934668469130129512795321341005274289430765920, 51139, 20425782484034858617041873533255337416409226871, 14136345575155098716610954665459231501880967, 83174360816513711576407353732079323945761146405, 125623686999325042500387198102823946643573114136, 271353675590380222622524572690304092, 7, 12, 958003216, 1582832213323263912227984434335123157745808020, 80640, 11294048108773319697100339211, 61194018845022733505738837311773674066921347237, 2248007878865123152576, 1889445223394165216224095, 42392732400536840800895264893946671886497231998], 'label': '12383472844800000000.a.72._.DZ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.DZ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.DZ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982326
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 251729485867706007481986059317925150219601466273, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 1073573332115737821119761151376091599797992376, 41346687468993494487488745957693965625929434848, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 773536308204369161160941055303433840075469220418, 12454051703, 82128315590255577608153318080496841157358576652, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 78680050944433056609131, 20, 51124, 61716668887372050857875518191205974035048268921, 20398254682627847093745405817248618511788134419], 'label': '12383472844800000000.a.72._.EA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982327
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [210919585672614977383012698555212874475802653395, 17637988924503858234691814510146487060, 523394611064745625411463752776724004610138723, 21444299318412124777482715391663471376930469200, 40796136156247956607848366501571641909971362560, 10099, 41332550550590712233948947086552336576916080569, 20425409899979339179015008092089167133307791445, 14135755109556703730496945805142208657745220, 82114922962167602448052144222367894968682758328, 62790242792323602706123791844660171407572833271, 12804766571520007, 295241022793329178739443361452091894482, 376629378099128, 1046045252571191757800509027194159766066063455, 41332551445227325844982656322837777964053287606, 11292213790670105522328473539, 3, 1582831605491030311880765776153363791055872020, 519044415, 231345366662592951806346934675418076258833098262, 523394610793391644531905595826910766024983611, 315777292742189580391824256096, 1181202549834004488795513543537874780816, 12454051703, 82128315590255577608153318080496841157358576652, 1046046415872648377836940607975356975800702184, 14135772731099950925350786435154604463008003, 82114922936109426132698178306155103066028323903, 106258086704157036817350245175764557318805046394, 78680050944433056609131, 20, 51124, 270558299219488586287362149954458288166629550602, 61716668887372050857875518191205974035048268921], 'label': '12383472844800000000.a.72._.EB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982328
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [51704033477769953280000, 105721300038358214323358482553066590305790225403, 1582831605491029680326337651881803776000000000, 104, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 1569068764682673494987231400573916337824237955, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 3, 628588314871266698601950976261077954578652940875, 7224940800, 1134720, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 5760, 41346687460565058025882151413018183427630185033, 42364832926814394313175736678894149956887170493, 26313083693369353016721801216000000000, 518918400, 80640, 815887749362456224265271864376417019960100301350, 609776689223427721003008000000, 711374856192000, 1888372313608552611840000, 12804747411456000, 371714285150208000, 11292160911544957796352000000, 51120, 20, 2248001455555215360000, 1887197221938603294720000], 'label': '12383472844800000000.a.72._.EC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982329
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [18720979211, 1073573922318241029734649378969679360154325882, 11294048108773319697100339211, 125623686999325042500387198102823946643573114136, 51139, 733249802906078304681031494861620580240336648920, 1582832213323263912227984434335123157745808020, 7, 376617443050812, 42392732400536840800895264893946671886497231998, 1596967647404976412905913105081199821342668749, 62253828423767641920502598897733151119057437353, 621071358904617017857186093928, 27527506708715289513923480514869042589747136, 2507696721372095256417127, 5768, 2248007878865123152576, 271353675590380222622524572690304092, 550922412471774516454008006090518703758415479, 958003216, 1060181867312746447307655649213087934533280010, 3, 271353991366353387944847459587932803, 2484042095345618232517680, 80640, 20398254665261221013258219019884487921826643767, 14136345575155098716610954665459231501880967, 42365204329930502975631771937387451365860617147, 1046046415872648377836940607975356975800702184, 83174360538384416632999145275695115295107521193, 12, 9217802131335960248313983666140886899, 1889445223394165216224095, 1181202549845296598003006172117611492408, 19228056880122743, 20934668469130129512795321341005274289430765920, 21966950541700869064690775648050129756910336016, 1889445243333758336029440, 78680300993049909767760], 'label': '12383472844800000000.a.72._.ED', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.ED', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.ED', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982330
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [14135764056005159476127602959974960514042831, 1596968264183685015656683382429506673587097624, 82651710209740509383083261117830317113992988179, 894653069338766083777181753600683129706, 62790242792323602706123791844660171407572833271, 8863944264998481912431168390429, 16, 912274611670893233893695656853116810179, 321554106497181603223840011466671919452, 519009139, 20935040757944644135419759998126644158627885441, 711388268368564, 1060181867312746752599343425971789113913527616, 1175105186090744877360, 18721110983, 40809900795045811120573329147497317045201380496, 251206081245582151754765904661979753812356757680, 1582831900732052495433204661293937214183618682, 3, 86420, 78680051655807912791060, 27527532495545247405682354120972030595811869, 5780, 26313084618923257477379828127611740808, 12454086967, 1060180981351219406629862624347576548203571209, 20934668469130129512795321341005274289430765920, 599157139462228302278271025395615978256, 7134671351813767, 621068851310084288179894512019, 82651337313348721904879270836505673187333094432, 526261673867387060334436024320000004, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.16._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982331
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [51704033477769953280000, 105721300038358214323358482553066590305790225403, 1582831605491029680326337651881803776000000000, 104, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 773522545345914566687156741409811546494255127171, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 3, 628588314871266698601950976261077954578652940875, 7224940800, 1134720, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 5760, 41346687460565058025882151413018183427630185033, 42364832926814394313175736678894149956887170493, 26313083693369353016721801216000000000, 518918400, 80640, 609776689223427721003008000000, 711374856192000, 1888372313608552611840000, 12804747411456000, 371714285150208000, 11292160911544957796352000000, 51120, 20, 2248001455555215360000, 1887197221938603294720000], 'label': '12383472844800000000.a.72._.EE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982332
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [1889445243333758336029440, 18720979211, 3, 271353991366353387944847459587932803, 1073573922318241029734649378969679360154325882, 19228056880122743, 550922412471774516454008006090518703758415479, 27527506708715289513923480514869042589747136, 5768, 2507696721372095256417127, 1060181867312746447307655649213087934533280010, 9217802131335960248313983666140886899, 1596967647404976412905913105081199821342668749, 376617443050812, 621071358904617017857186093928, 1181202549845296598003006172117611492408, 62253828423767641920502598897733151119057437353, 20398254665261221013258219019884487921826643767, 2484042095345618232517680, 78680300993049909767760, 794471349830111037823853790805478540136022778360, 20934668469130129512795321341005274289430765920, 51139, 20425782484034858617041873533255337416409226871, 14136345575155098716610954665459231501880967, 83174360816513711576407353732079323945761146405, 125623686999325042500387198102823946643573114136, 271353675590380222622524572690304092, 7, 1046046415872648377836940607975356975800702184, 12, 958003216, 1582832213323263912227984434335123157745808020, 80640, 11294048108773319697100339211, 61194018845022733505738837311773674066921347237, 2248007878865123152576, 1889445223394165216224095, 42392732400536840800895264893946671886497231998], 'label': '12383472844800000000.a.72._.EF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982333
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [51704033477769953280000, 105721300038358214323358482553066590305790225403, 1582831605491029680326337651881803776000000000, 104, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 1569068764682673494987231400573916337824237955, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 3, 628588314871266698601950976261077954578652940875, 7224940800, 1134720, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 5760, 41346687460565058025882151413018183427630185033, 26313083693369353016721801216000000000, 518918400, 80640, 815887749362456224265271864376417019960100301350, 609776689223427721003008000000, 711374856192000, 1888372313608552611840000, 12804747411456000, 371714285150208000, 11292160911544957796352000000, 51120, 20, 2248001455555215360000, 1887197221938603294720000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.EG', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EG', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EG', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982334
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [51704033477769953280000, 105721300038358214323358482553066590305790225403, 1582831605491029680326337651881803776000000000, 104, 62790614195176580814351398501669241983172246509, 894653068413212180491358966906880000000, 355419187200, 13181357629440000, 9462427552413548027707392000000, 61730804607476947433944636422838498099200000000, 312862565114161607368822216458240000000, 773522545345914566687156741409811546494255127171, 62239692095575568368273863408198316786047905767, 271353675587871452984943575040000000, 925553903285559933665280000000, 19160064000, 27527506182452690092631959163161804800000000, 3, 628588314871266698601950976261077954578652940875, 7224940800, 1134720, 17366635237623772991036388802560000000, 35672339611031648284311552000000, 5760, 41346687460565058025882151413018183427630185033, 26313083693369353016721801216000000000, 518918400, 80640, 609776689223427721003008000000, 711374856192000, 1888372313608552611840000, 12804747411456000, 371714285150208000, 11292160911544957796352000000, 51120, 20, 2248001455555215360000, 1887197221938603294720000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.EH', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EH', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EH', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982335
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [82114923829964888658885133316251223109198735368, 62240063480543863573192719629968977637046115223, 21994477465837875394881254716191498720339842651, 20948805388059181355591769187511676999106681719, 536786370557827468098511091385308491506027619, 709643056252399690895259101877826471576472559257, 20397882671934431101553311685939035224232841624, 62267220192215413993332835621079855303590897290, 1073572741115655828681025656166192630451158431, 711374856237379, 19160190011, 77607160721635184685372, 13181357629440015, 4, 61221546064647455726871145303192068390338025673, 14135746944277920131223918982653944917555215, 523394611319653318399290408153844886069475921, 1046045235459463897387401508656585413717763209, 526261685159601924420470368475330648, 80651, 51704040235831087145055, 11292160911545669177914265520, 19939419721272963, 42378596662530771445482568760469535337326094241, 10091, 1073572767428738934051428349810731864680242007, 1046045235459464507164169412512635210473541754, 11292162086892722713578795603, 753124662977912716846988906065608327919847774848, 12, 526261695645128209185777277860954727, 15, 1175104474697247585120, 2509944716069569658880000, 41346686896149412204222354658334768672118828877, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.EI', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EI', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EI', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982336
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [82114923829964888658885133316251223109198735368, 62240063480543863573192719629968977637046115223, 21994477465837875394881254716191498720339842651, 20948805388059181355591769187511676999106681719, 536786370557827468098511091385308491506027619, 62267220192215413993332835621079855303590897290, 1073572741115655828681025656166192630451158431, 711374856237379, 19160190011, 77607160721635184685372, 13181357629440015, 4, 61221546064647455726871145303192068390338025673, 14135746944277920131223918982653944917555215, 523394611319653318399290408153844886069475921, 1046045235459463897387401508656585413717763209, 526261685159601924420470368475330648, 80651, 51704040235831087145055, 11292160911545669177914265520, 19939419721272963, 42378596662530771445482568760469535337326094241, 10091, 1073572767428738934051428349810731864680242007, 1046045235459464507164169412512635210473541754, 1046046415872648377836940607975356975800702184, 11292162086892722713578795603, 12, 526261695645128209185777277860954727, 15, 1175104474697247585120, 2509944716069569658880000, 775091613484337554097827335464328237983804218770, 648972805496615813660083122856834437093235210985, 41346686896149412204222354658334768672118828877, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.EJ', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EJ', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EJ', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982337
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [82114923829964888658885133316251223109198735368, 62240063480543863573192719629968977637046115223, 21994477465837875394881254716191498720339842651, 536786370557827468098511091385308491506027619, 709643056252399690895259101877826471576472559257, 20397882671934431101553311685939035224232841624, 62267220192215413993332835621079855303590897290, 1073572741115655828681025656166192630451158431, 711374856237379, 19160190011, 77607160721635184685372, 13181357629440015, 4, 61221546064647455726871145303192068390338025673, 14135746944277920131223918982653944917555215, 523394611319653318399290408153844886069475921, 1046045235459463897387401508656585413717763209, 526261685159601924420470368475330648, 80651, 51704040235831087145055, 11292160911545669177914265520, 19939419721272963, 42378596662530771445482568760469535337326094241, 10091, 775091613206479613428098569054735187453785688430, 1073572767428738934051428349810731864680242007, 1046045235459464507164169412512635210473541754, 11292162086892722713578795603, 12, 526261695645128209185777277860954727, 15, 1175104474697247585120, 2509944716069569658880000, 41346686896149412204222354658334768672118828877, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.EK', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EK', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EK', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982338
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 36, 'diagramx': None, 'generators': [82114923829964888658885133316251223109198735368, 62240063480543863573192719629968977637046115223, 21994477465837875394881254716191498720339842651, 20948805388059181355591769187511676999106681719, 536786370557827468098511091385308491506027619, 62267220192215413993332835621079855303590897290, 1073572741115655828681025656166192630451158431, 711374856237379, 19160190011, 77607160721635184685372, 13181357629440015, 4, 61221546064647455726871145303192068390338025673, 14135746944277920131223918982653944917555215, 523394611319653318399290408153844886069475921, 1046045235459463897387401508656585413717763209, 526261685159601924420470368475330648, 80651, 51704040235831087145055, 11292160911545669177914265520, 19939419721272963, 42378596662530771445482568760469535337326094241, 10091, 775091613206479613428098569054735187453785688430, 1073572767428738934051428349810731864680242007, 1046045235459464507164169412512635210473541754, 11292162086892722713578795603, 1046046415872648377836940607975356975800702184, 12, 526261695645128209185777277860954727, 15, 1175104474697247585120, 2509944716069569658880000, 648972805496615813660083122856834437093235210985, 41346686896149412204222354658334768672118828877, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.72._.EL', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '72.EL', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '72._.EL', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982339
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [295495929876537834377785828011099187200, 41841809397328088940800577928005943296000000000, 181581568560, 9767719188486388493845438003200, 61193655395282583155535843368389897596046700124, 793947953716280078193073366858970223657343805480, 847440, 268719897600, 814855096165424950047640266845988465843562025448, 518918448, 18293300676702831630270863520000, 376965198086400, 26313083693369353016721801571419187200, 773522917616581258716489754320057878540444099267, 180623520000, 958003223, 77607141159095359257600, 384854153137977600, 27527506182452690092631959163161804800000000, 354980102400, 1292600836944249350918400], 'label': '12383472844800000000.a.80._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982340
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [518918400, 1174320, 61730804607476947433944636422838498099200000000, 305291636072840466137088000000, 1457280, 25, 17892896911491160051370824826880000000, 1596967369801969994926842641226494037449587244, 291492958232757455159373774746265723947587705725, 894653068413212180491358966906880000000, 15, 210410317378156933240564289115234495613850466555, 368392147200, 119, 53952034933325168640000, 35672339611031648284311552000000, 699179543619843686400000, 134805535248384000, 249713497313280000, 42365204008121479953778053151554168422400000000, 146531200573736047837117077715083678287908578495], 'label': '12383472844800000000.a.80._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982341
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [82128314721405776608235027648844352536809651283, 1175092046560493238976, 753675585068830402222313924492930955914155285805, 271353697365610354193696947322505607, 621068850135223103677796454983, 711387310355303, 62790242792323602706123791844660171407572833271, 12972965775, 536787282577531434713591736222933801792687420, 82142078465805480168451639208904065394496134960, 958003220, 61716668869750480803089416125233506991017818745, 61194018246136940717550898607731145832858919028, 80644, 7, 244001575673861772, 5763, 251206081245582151754765904661979753812356757680, 1569439845726593552274782413931531152842530659, 83174360538113054126537557185415058317216530548, 3, 19562821957375923, 17637989534280496827245515013286963139, 14135755109557335284278770002870275172608563, 14135764310913463046657710766700928642384572, 621068850134991906862946186206, 23, 26976152272552812806420, 11292162086899146002847907680, 19160185692, 41319158773188286572424565976097279268396341795, 19228056361119379, 8691540784535440567232808207382972804, 35672339662736053476728342464580, 167465877229062316147271583136128316384191533923, 20934668469130129512795321341005274289430765920, 61194019444434762672942067827911661139287990986, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.16._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982342
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [523394610793391012977475223548225126400000000, 250146654253539891569265880690428432155455158456, 181581523200, 250696832383590793867222048994195764882727706926, 526261673867387060334436024320000000, 111, 493715072987136000, 25903107681056686080000, 806400, 74, 1496880, 774582723928785711733383921934722434713369434129, 41346686279370730420350670662517181644800000000, 88176211200, 1269047912603090780160000, 36303894039155912709636096000000, 616523773774298119104609528053760000000, 128047474114560000, 915068325296268187140096000000, 773536677746284203018278157717402540345169870700, 361686124800], 'label': '12383472844800000000.a.80._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982343
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [20411645834288669703686597719484478259200000000, 250424872169472000, 121666023198720000, 100111334400, 193077561600, 1583204493734036842290165505655839497029253174, 776880, 8852650863190120306704384000000, 526261673867387060334436024320000000, 60, 61717041167256518493263201121281214711380354688, 1889445223394158510080000, 86, 78680050944432537600000, 327069374973677170458624000000, 82114922935583164447538602183159814553600000000, 616523773774298119104609528053760000000, 30, 186803942126813157108282727304523463186749967472, 367920], 'label': '12383472844800000000.a.80._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982344
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [815392250323859428093358511194453476942551502758, 14135764310913179533950804071710505165916256, 180623530096, 1582831605491030595394664123484951247293439924, 372601693508656126233026706751931884226713, 28151109136879663334400, 1569439854944395999387876971653863985455052198, 81591528324789782287214500094704772024328192008, 13181712609552491, 11294050356768352222624096092, 523395227843427397990314633875351355766187594, 1060180990042759254321126192043536307249152093, 17637989218505169962104420718063165283, 526262610715961202156108611090682743, 42378968082758589957354299830030655446770060765, 1887197234743351225185136, 14135755109583860976056898577871863098322567, 17366635259403399089114260040017770248, 327069376148769217373578371843, 13516302891219136, 61193646843004386073302879854165386629921608928, 997920000, 518918403, 180623520000, 794470977550761045859638732257622269863426864797, 41318786797754403360904292325545071894075713182, 1073944751817329732575198414783338624225136174, 61744196376459213470835692085227985959175189851, 82114922961896256993561327159645885083933644816, 536787569127013453989107600672684102545618615, 1046418409454345972049567973503264242366953456, 15, 7134672309811220, 1175111233026582297611, 711556437720971, 268719897600, 354980102400], 'label': '12383472844800000000.a.80._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982345
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [815392250323859428093358511194453476942551502758, 14135764310913179533950804071710505165916256, 180623530096, 1582831605491030595394664123484951247293439924, 372601693508656126233026706751931884226713, 28151109136879663334400, 1569439854944395999387876971653863985455052198, 81591528324789782287214500094704772024328192008, 13181712609552491, 11294050356768352222624096092, 523395227843427397990314633875351355766187594, 1060180990042759254321126192043536307249152093, 17637989218505169962104420718063165283, 526262610715961202156108611090682743, 42378968082758589957354299830030655446770060765, 1887197234743351225185136, 14135755109583860976056898577871863098322567, 17366635259403399089114260040017770248, 327069376148769217373578371843, 13516302891219136, 1569069051223923235364009846720723659003928471, 997920000, 518918403, 180623520000, 794470977550761045859638732257622269863426864797, 41318786797754403360904292325545071894075713182, 1073944751817329732575198414783338624225136174, 61744196376459213470835692085227985959175189851, 82114922961896256993561327159645885083933644816, 536787569127013453989107600672684102545618615, 1046418409454345972049567973503264242366953456, 15, 7134672309811220, 1175111233026582297611, 711556437720971, 268719897600, 354980102400], 'label': '12383472844800000000.a.80._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982346
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 40, 'diagramx': None, 'generators': [295495929876537834377785828011099187200, 41841809397328088940800577928005943296000000000, 181581568560, 9767719188486388493845438003200, 793947953716280078193073366858970223657343805480, 847440, 268719897600, 814855096165424950047640266845988465843562025448, 518918448, 18293300676702831630270863520000, 376965198086400, 26313083693369353016721801571419187200, 180623520000, 958003223, 77607141159095359257600, 384854153137977600, 27527506182452690092631959163161804800000000, 773522917616581258716489754320057878540404182467, 354980102400, 61193655395282583155535843368389897597044620124, 1292600836944249350918400], 'label': '12383472844800000000.a.80._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982347
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 80, 'diagramx': None, 'generators': [646300418472124416000000, 361686124800, 13181357629440000, 499761759264768000, 303916116658416027343136804044800000000, 1134720, 104703153703267299842130338553113788803168993342, 35694117349932484988633088000000, 26536174850669524215791616000000, 912274611649115469089744848158720000000, 15, 62790241602174586101293498851172076748800000000, 268280812800, 166942483191639250809413551360591718495022618953, 26, 2509944716069569658880000, 367920, 27527506182452690092631959163161804800000000, 1596596261655520672012690093769695152957986502], 'label': '12383472844800000000.a.80._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '80.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '80._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982348
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21777791779975368164032172900, 1175098428017675884803, 1046418418145886723506611552527525863177959016, 20920905306767631462820217351270113626426465464, 82637574749345722041683632103710465927709130333, 6706022400, 621068901839013291253638169684, 1582831614708831822951952290117801353032034721, 12972960023, 13412054884, 40796136155993057440443295935323806320160381924, 271354002657299305794396425245753522, 27527506453807291235675746107934261624575397, 21981086574923266487141798272745877706448691223, 327069377221679002643217459166, 42392360415885146300097696248106546894429116172, 526262599421290345913597745961119383, 1569068747316003216981643446048991309847282500, 20935040471666498695398039515311545049643242118, 20921276996441462699397052409295797853841113627, 3, 26313084608437755920151086602456748910, 8946449087300059853996831805519604391, 376616924012179, 518918400, 20948805405680724591898372799571497306044650333, 14135755364465323078268091736272404103271027, 19160064003, 19228056880122728, 19678982412, 1046045538849319807490619528430918344454571554, 52879144375770402418568, 61730432640208343006024281129178177967136972873, 6267059288], 'label': '12383472844800000000.a.288._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '288.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '288._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982349
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1582831614708831822951952290117801353032034721, 1175098428017675884803, 14135755364465323078268091736272404103271027, 376616924012179, 26313084608437755920151086602456748910, 20920905306767631462820217351270113626426465464, 1569068747316003216981643446048991309847282500, 61730432640208343006024281129178177967136972873, 40796136155993057440443295935323806320160381924, 6706022400, 271354002657299305794396425245753522, 621068901839013291253638169684, 52879144375770402418568, 3, 518918400, 19678982412, 20921276996441462699397052409295797853841113627, 8946449087300059853996831805519604391, 327069377221679002643217459166, 1046045538849319807490619528430918344454571554, 20935040471666498695398039515311545049643242118, 12972960023, 19228056880122728, 21981086574923266487141798272745877706448691223, 526262599421290345913597745961119383, 13412054884, 20948805405680724591898372799571497306044650333, 19160064003, 21777791779975368164032172900, 6267059288, 82637574749345722041683632103710465927709130333, 27527506453807291235675746107934261624575397, 1046418418145886723506611552527525863177959016], 'label': '12383472844800000000.a.576._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '576.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '576._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982350
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1582831614708831822951952290117801353032034721, 1175098428017675884803, 14135755364465323078268091736272404103271027, 376616924012179, 26313084608437755920151086602456748910, 20920905306767631462820217351270113626426465464, 1569068747316003216981643446048991309847282500, 40796136155993057440443295935323806320160381924, 6706022400, 271354002657299305794396425245753522, 621068901839013291253638169684, 52879144375770402418568, 3, 518918400, 19678982412, 20921276996441462699397052409295797853841113627, 8946449087300059853996831805519604391, 327069377221679002643217459166, 1046045538849319807490619528430918344454571554, 20935040471666498695398039515311545049643242118, 12972960023, 19228056880122728, 21981086574923266487141798272745877706448691223, 526262599421290345913597745961119383, 13412054884, 20948805405680724591898372799571497306044650333, 19160064003, 21777791779975368164032172900, 6267059288, 82637574749345722041683632103710465927709130333, 27527506453807291235675746107934261624575397, 1046418418145886723506611552527525863177959016], 'label': '12383472844800000000.a.1152._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '1152.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1152._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982351
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21777791779975368164032172900, 1175098428017675884803, 20920905306767631462820217351270113626426465464, 82637574749345722041683632103710465927709130333, 6706022400, 621068901839013291253638169684, 1582831614708831822951952290117801353032034721, 12972960023, 13412054884, 271354002657299305794396425245753522, 27527506453807291235675746107934261624575397, 21981086574923266487141798272745877706448691223, 327069377221679002643217459166, 526262599421290345913597745961119383, 20935040471666498695398039515311545049643242118, 20921276996441462699397052409295797853841113627, 3, 26313084608437755920151086602456748910, 8946449087300059853996831805519604391, 376616924012179, 518918400, 14135755364465323078268091736272404103271027, 19160064003, 19228056880122728, 19678982412, 1046045538849319807490619528430918344454571554, 52879144375770402418568, 6267059288], 'label': '12383472844800000000.a.18432._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18432.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18432._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982352
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1073572759008552130395495410949462922732559354, 2248007878858936003223, 774582724197976762755499471324051207959961447643, 21777738900837415696911236419, 62790242792323602706123791844660171407572833271, 21994477466092783404452931234598991879872525957, 82114551255390302504501224930747090712259255719, 26313084324923781141107892838729560980, 7, 62763086401918385051778940446991716333067222330, 14135772476192246645258636334887984741466723, 376616485008011, 4, 1569439854673041714020810846272322970895555211, 1060180998717853718702291730578547008792155079, 17637988934989385592860203636432502899, 5772, 689782333429205422270455743997543996085240674593, 17366635259401513066971521141253017524, 271353675587871453356657873602333463, 125609932371610784393606295977943288732998308497, 82114550951474194666068856705987376685290808311, 523394611064744688565347851759644199417554628, 12454051692, 21994850623255506184058957604683653709001591717, 19562814812258660, 61221173749783015361096597974138560460818998918, 20920904707881882883851360274860550379578013303, 17637989534280494579494107719584035856, 609776689223447660440931414412, 1569439863364582455000771364073180202718626553, 1569441026657824783742300419527308509172416567, 518924172, 13412095924, 125073137179600311121856870158190100128012099167], 'label': '12383472844800000000.a.2._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '2.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '2._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982353
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [82128314721405776608235027648844352536809651283, 1175092046560493238976, 753675585068830402222313924492930955914155285805, 271353697365610354193696947322505607, 621068850135223103677796454983, 711387310355303, 62790242792323602706123791844660171407572833271, 12972965775, 536787282577531434713591736222933801792687420, 82142078465805480168451639208904065394496134960, 958003220, 61716668869750480803089416125233506991017818745, 61194018246136940717550898607731145832858919028, 80644, 7, 244001575673861772, 5763, 251206081245582151754765904661979753812356757680, 1569439845726593552274782413931531152842530659, 3, 19562821957375923, 17637989534280496827245515013286963139, 14135755109557335284278770002870275172608563, 14135764310913463046657710766700928642384572, 621068850134991906862946186206, 23, 26976152272552812806420, 11292162086899146002847907680, 19160185692, 41319158773188286572424565976097279268396341795, 62762715008266772500267999584684344795605416278, 61207410023259779803923632585420860798827400349, 19228056361119379, 8691540784535440567232808207382972804, 35672339662736053476728342464580, 167465877229062316147271583136128316384191533923, 20934668469130129512795321341005274289430765920, 61194019444434762672942067827911661139287990986], 'label': '12383472844800000000.a.16._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982354
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21777791779975368164032172900, 1175098428017675884803, 20920905306767631462820217351270113626426465464, 6706022400, 621068901839013291253638169684, 1582831614708831822951952290117801353032034721, 12972960023, 13412054884, 61207782875708752903830431413379811288913342141, 271354002657299305794396425245753522, 27527506453807291235675746107934261624575397, 21981086574923266487141798272745877706448691223, 327069377221679002643217459166, 526262599421290345913597745961119383, 20935040471666498695398039515311545049643242118, 3, 26313084608437755920151086602456748910, 8946449087300059853996831805519604391, 376616924012179, 518918400, 14135755364465323078268091736272404103271027, 19160064003, 19228056880122728, 19678982412, 1046045538849319807490619528430918344454571554, 52879144375770402418568, 6267059288], 'label': '12383472844800000000.a.36864._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '36864.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '36864._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982355
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [21777791779975368164032172900, 1175098428017675884803, 20920905306767631462820217351270113626426465464, 6706022400, 621068901839013291253638169684, 1582831614708831822951952290117801353032034721, 12972960023, 13412054884, 271354002657299305794396425245753522, 27527506453807291235675746107934261624575397, 21981086574923266487141798272745877706448691223, 327069377221679002643217459166, 526262599421290345913597745961119383, 20935040471666498695398039515311545049643242118, 3, 26313084608437755920151086602456748910, 8946449087300059853996831805519604391, 376616924012179, 518918400, 14135755364465323078268091736272404103271027, 19160064003, 19228056880122728, 19678982412, 1046045538849319807490619528430918344454571554, 52879144375770402418568, 6267059288], 'label': '12383472844800000000.a.73728._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '73728.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '73728._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982356
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 390625, 'diagramx': None, 'generators': [51704033477769953280000, 121666023198720000, 25, 616523773774298119104609528053760000000, 53952034933325168640000, 94, 141228831744000000, 543801683919072495700605594512197728194084617079, 131760, 126000, 384853797199872000, 35672339611031648284311552000000, 292001846919969524013269583663894255369387687568, 35988116825093780496973824000000, 1198569185071628207834495770951680000000, 1189622736615882627808810358538240000000, 41841809397328088940800577928005943296000000000, 79855142614381854720000, 174356582400, 18598592312775672096227328000000, 210919576538036495762855145101750219551491477921, 15, 193077561600, 420270460286005880725829577501034898930592448645, 90720, 88176211200, 20411645834288669703686597719484478259200000000, 20920904698664044470400288964002971648000000000], 'label': '12383472844800000000.a.390625._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '390625._.A', 'old_label': '390625.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '390625._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982357
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1679616, 'diagramx': None, 'generators': [1219680, 33, 250146646666205143528710689694214817511681685090, 134470770610176000, 262518244724736000, 621572402461017047040000, 543801683605955049712337057432391629294756322491, 9756427027574843536048128000000, 35694117349932484988633088000000, 1190148998289750014869144794562560000000, 321282751896039800334173192847360000000, 186810624000, 62762714095992133411200866892008914944000000000, 349671168000, 672203526153181102080000, 20425781580706685949950381698514209996800000000, 23, 1180080, 271590199860246099226434644650291838823421454016, 418715157054765961011539981296731713446692488172], 'label': '12383472844800000000.a.1679616._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '1679616._.A', 'old_label': '1679616.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '1679616._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982358
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 100000000, 'diagramx': None, 'generators': [365290988654592000, 122377398054912000, 544297551605473937312056080283156053170412824891, 1292600836944248832000000, 106378272000, 87657292800, 41332550532952714174086886683487449907200000000, 104, 420270461163292340121815002284348809281210395389, 590465598079208281695237219287040000000, 1583280, 251715341908499493483497499278482920307718493258, 17683523987479403909087232000000, 17988815623552244375224320000000, 78680050944432537600000, 251715339814724744839147628230767990316529075384, 7, 80640, 42365204008121479953778053151554168422400000000, 599157138536674346113573139251200000000], 'label': '12383472844800000000.a.100000000._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '1.a1.a1', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': '100000000._.A', 'old_label': '100000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '100000000._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982359
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': '23066015625.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 7688671875, 'diagramx': None, 'generators': [104675254498982606621592561813978439268285309462, 1124378467826245632000, 20411645834288669703686597719484478259200000000, 460556594181164200560381287640409523353461969926, 41855573150419315285846893907587524198400000026, 20411646129784608421996138007780272087384780860, 146517063896573826410215701598447224171769512842, 263130836935606579405895500431365040, 263130836933693530167218012160000000, 8841761993739701954543616000026, 125073136875675979867661460431579933277784347564, 10888869450418707848196096000, 20411645834288669714575467169902830419968000062, 104675254498982606621593181138635539865156733486, 104675254499245728616764260480320974171384701400, 1124000727777607685040, 62239691478525532299440859667908840652800000060, 41841809397328116086752117820957880090624000084, 5040, 62239691478525532299440859667908840652800000000, 62253455231616758644487175647490421555200000002, 104689018252073824124885271884067532803215511086, 774582353430347683835893061576542292356344701402, 20397882081197443358640281739902897356800000000], 'label': '12383472844800000000.a.23066015625.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '3._.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '23066015625.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '23066015625.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982360
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': '31701690482688.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1679616, 'diagramx': None, 'generators': [608358494990699441746608044113920000000, 304187470334003898796121747813875564800, 82637573559722975658081141408190210355884767840, 18304592837614882731096772608000, 911748376522716955006916579928284851200, 735840, 9778204766475680240369664000000, 608358521538168314724114211907804851316], 'label': '12383472844800000000.a.31701690482688.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '73728._.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '31701690482688.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '31701690482688.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982361
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': '209715200000000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 409600000000, 'diagramx': None, 'generators': [9724780993060361762771367815425273478355, 82128314695347600891367528843344189053338376880, 52879787214661113931440, 52879125147737991379304, 82128314695347600891367528843344189060562540800, 526261673867465740385380475578579281, 52879125147719270400000, 18720979200, 61730804607476947433944636422858060914971713360, 271354601141774738544877259040979281], 'label': '12383472844800000000.a.209715200000000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': '8._.A', 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '209715200000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '209715200000000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982362
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': '12383472844800000000.a1', 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [], 'label': '12383472844800000000.a.12383472844800000000.a1.a1', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '12383472844800000000.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '12383472844800000000.a1.a1', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982363
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [82128314721405776608235027648844352536809651283, 1175092046560493238976, 753675585068830402222313924492930955914155285805, 271353697365610354193696947322505607, 621068850135223103677796454983, 711387310355303, 62790242792323602706123791844660171407572833271, 12972965775, 536787282577531434713591736222933801792687420, 536787551752190134983657518064263961915207719, 82142078465805480168451639208904065394496134960, 958003220, 61716668869750480803089416125233506991017818745, 61194018246136940717550898607731145832858919028, 80644, 7, 244001575673861772, 5763, 251206081245582151754765904661979753812356757680, 1569439845726593552274782413931531152842530659, 83174360538113054126537557185415058317216530548, 3, 19562821957375923, 17637989534280496827245515013286963139, 14135755109557335284278770002870275172608563, 14135764310913463046657710766700928642384572, 621068850134991906862946186206, 23, 26976152272552812806420, 11292162086899146002847907680, 19160185692, 41319158773188286572424565976097279268396341795, 19228056361119379, 8691540784535440567232808207382972804, 35672339662736053476728342464580, 167465877229062316147271583136128316384191533923, 20934668469130129512795321341005274289430765920, 61194019444434762672942067827911661139287990986], 'label': '12383472844800000000.a.16._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982364
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [12454163295, 121683, 82128314721660685216291232479384657506957645380, 82128314721932038576101915671163184877685037932, 26313084630215443116934373740585108336, 125087272613155779937482414923291323253921379819, 61730804634061384802903776240876694815765519444, 62790242792323602706123791844660171407572833271, 1060180998717854632961476951847221245006003187, 20398254395807012617626978480142757642939398339, 21777792852871637660116694884, 78680050944445949776576, 26058176022159885659504646075411869328, 61730804625369871785388726876807783050818691863, 61730804625114937262224607338232868924800614397, 7224950887, 20935041626013293178978535577194585423841762032, 27527532495537298530390127296141153487628167, 251206081245582151754765904661979753812356757680, 271354296656748563988270401319908411, 958044256, 83174360538113054126537557185415058317216530548, 3, 925553929188687177543923526484, 82128315876550186713491193069488533074015328132, 1046045235459499874217192576927749490176722620, 1175091669968477194080, 90731, 80643, 26584437368957224469707456178869278023, 10080, 126016, 26584437368957276173746645858446940259, 25903127243866189408567], 'label': '12383472844800000000.a.16._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982365
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [12454163295, 121683, 82128314721660685216291232479384657506957645380, 82128314721932038576101915671163184877685037932, 26313084630215443116934373740585108336, 61730804634061384802903776240876694815765519444, 62790242792323602706123791844660171407572833271, 1060180998717854632961476951847221245006003187, 20398254395807012617626978480142757642939398339, 21777792852871637660116694884, 78680050944445949776576, 26058176022159885659504646075411869328, 61730804625369871785388726876807783050818691863, 61730804625114937262224607338232868924800614397, 7224950887, 20935041626013293178978535577194585423841762032, 27527532495537298530390127296141153487628167, 251206081245582151754765904661979753812356757680, 271354296656748563988270401319908411, 958044256, 209350517507344385800917416481196169882868574036, 83174360538113054126537557185415058317216530548, 3, 925553929188687177543923526484, 82128315876550186713491193069488533074015328132, 1046045235459499874217192576927749490176722620, 1175091669968477194080, 90731, 80643, 26584437368957224469707456178869278023, 10080, 126016, 26584437368957276173746645858446940259, 25903127243866189408567], 'label': '12383472844800000000.a.16._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982366
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [41346686305428941482490398379528480593803446987, 536787569381921136492651217298519828895594336, 45363, 78680050944452216582407, 13412050572, 27527506708714363960097699555677033639786842, 526261673867387060340859339975770743, 62790242792323602706123791844660171407572833271, 28151128364662514579772, 7, 25903108057685625133943, 1582831605762383976984327112673164039274501846, 14135746944277920131198015401197234007683888, 83174360538113054126537557185415058317216530548, 21980716102272261190510760435062927713317417694, 3, 271353686880059340554126114270208071, 523394628686288251539253393421081871467457162, 14135746944278856979770982130488501833994128, 11292239591608706995980079451, 81591528350847950066497054469196847672127232041, 689782333429205422270455743997543996085240674593, 82142451336673593549122932489397847594422037843, 315777242213254531000195078387, 958003219, 6758067839887443, 82114550951474194666068856705987376685290808311, 376611176038343, 82651709905824392136665666509754447401987116771, 61221173749783015361096597974138560460818998918, 17366635237623852846198942871458928619, 20934668469130129512795321341005274289430765920, 1175092381324173438019, 19160064016, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.16._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '16.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '16._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982367
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [1596968263657431280190612226115956215474593962, 20398255255726783409640047193382133679337353629, 270544163759891386561460786358159373334445503956, 1582832491723911932729201216104959704214976634, 753675585068830402222313924492930955914155285805, 8691540457466090321687602608973983375, 20934668469130137744375421295823282465976333993, 1073572759008552456658314438397269888386944087, 1583203624867772448868361564326780034561727897, 82114551255390302504501224930747090712259255719, 17637988913211698396319118713089592979, 26058193999683917095785262107288614448, 61716670050936576716912590204162589286858822307, 62253455848666794724208350833867213105363445747, 2248007878864683936004, 4, 550922134613832616281829234245927204387840007, 550923002937389342341503387079389823239785594, 14135764056005170767616310633051383200528496, 8, 19939425030211680, 271354612433987354373737691767717768, 621068851310083911564447346563, 17637989228988886657263393027587640972, 13516128973670423, 21777790604889410142102380176, 305291713679982001580212291684, 711374856192000, 1073572767173831240256938917523654351747852160, 523394620011193775865354826502234490556018633, 21458063062820034102203456976764604242456739120, 28151121941359312901775, 82142450467823802295152561658509995356064655434, 19562809503283223, 518918419, 8691540762757702739184264960184733296, 62239692364487069413130793508324577887394201624, 1582832205174429890868097802293802999987315819, 1060180981877480448944682956944591270129957779], 'label': '12383472844800000000.a.18._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982368
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [628574551430774880019742556505494806267250024962, 536786396616004077450116777989093974696649038, 17892897848337301855616875115151360019, 270544163759891386561460786358159373334445503956, 958003200, 21471455734595959895087106998671312830819328159, 79855142614381854806403, 62790242792323602706123791844660171407572833271, 16, 775105377229271725118594709609649543399704873527, 11292160911544957809324960008, 82114551255390302504501224930747090712259255719, 526261673867389308336268202726304020, 25903114439117819955206, 1060182171492021360831892448986705557193404242, 4, 1046045243624778657810768951879665391455108507, 27527514873993169336437526337241645711360003, 41842181694842349807980956910182289662223266633, 82114922944274705514781383976032592151829630067, 17892897543045641054760397889854590077, 936846065372197272804965376008, 19160064020, 8691567919195439946072578713027609728, 711394016256004, 526261685161409368175912339638609315, 1181202550770851198220107893473598550445, 1073573635768732190767902704805538616491049107, 536786396616004066965159185758089900828490812, 61194019131835328396118089451702940270668501955, 26058176010867051471504521441964960003, 10187, 53952047738072580579848, 327069374973677547081814944023], 'label': '12383472844800000000.a.18._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982369
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [1496883, 90720, 4, 26841466486742364681941158041600, 609776689223427721009714022400, 526261673867387060334436024320000000, 21777738900836704341214982400, 62790242792323602706123791844660171407572833271, 376610217984004, 41842181694842349807980956910182289662223266633, 82114551255390302504501224930747090712259255719, 925553903285559933672504940800, 52879125147719270400000, 21471455734595959895087106998671312830819328159, 81, 13412044800, 35988116825093780496986278041600, 82114922935583164447538602183159814553600000000, 886232881631333987526007990517760000104, 766855, 61194019131835328396118089451702940270668501955, 7, 18598592312775672096227328000000, 493338462769193055, 35988116825093780497067229312000, 6706022400, 518918400, 649509220160404545718697908171196115479412661066, 771143, 10135, 6758061134191927, 303916116658416027343136804044800000000, 270544163759891386561460786358159373334445503956, 365290988654723775, 2508769624399620341760000, 550922116975879691186932276491884079380582400, 2248001455555215360000, 766900, 1198569185071628207834495770951680000081, 19562808545411780, 27527506182488384209981891648150624698624000, 754198607694988517582432012844980417197770899246, 26058175695089837409372308766720000000, 1060181302642220666612330870421265623227267318], 'label': '12383472844800000000.a.18._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982370
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [27527523820441603304329282803356987631992899, 536786396616004077450116777989093974696649038, 605518726597786721907401941045165688833857828519, 82, 26584438305805822164452046980382720030, 167452104637160049598903968347637310946673738122, 21966950837188549587763645674461340158745112323, 21457691382084437673328499647153213742482533181, 526261673867387060334436043480064020, 365290988654592020, 26058175695090536588915928623379360029, 885706638250769192517342779631730290591, 82114551255390302504501224930747090712259255719, 26584437368957252621065929677865888023, 26584464820201022007914413500184952880, 774073095764533289312347975425423539184069558448, 8691541067242753642013689242092448020, 62253828423767641920502598897733151119057437353, 26313083693369353016728559290106784020, 1266799911147536523292825, 53952413029061235822775, 12972960015, 61730804911919326071521005403594926135788556136, 17637988913211644444021332377600000015, 26584437368957226717970718610140160015, 376610217984020, 3, 53952034933325168650136, 53952034933325168726459, 19562808545280015, 2507696727418774827936015, 378095736067177064, 82114922944800984578173954383403250617201199361, 17366635237623772991536150574797728020, 17892896922783323211039615576502272003, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624, 20, 536786396616004077450116777989093620235470794], 'label': '12383472844800000000.a.18._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982371
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [27527523820441603304329282803356987631992899, 536786396616004077450116777989093974696649038, 82, 26584438305805822164452046980382720030, 21966950837188549587763645674461340158745112323, 21457691382084437673328499647153213742482533181, 526261673867387060334436043480064020, 365290988654592020, 272113231889886027463084241983351090725244678944, 26058175695090536588915928623379360029, 885706638250769192517342779631730290591, 82114551255390302504501224930747090712259255719, 26584437368957252621065929677865888023, 26584464820201022007914413500184952880, 8691541067242753642013689242092448020, 62763086401918385051778940446991716333067222330, 62253828423767641920502598897733151119057437353, 26313083693369353016728559290106784020, 1266799911147536523292825, 53952413029061235822775, 12972960015, 61730804911919326071521005403594926135788556136, 17637988913211644444021332377600000015, 26584437368957226717970718610140160015, 376610217984020, 3, 53952034933325168650136, 53952034933325168726459, 19562808545280015, 2507696727418774827936015, 378095736067177064, 82114922944800984578173954383403250617201199361, 17366635237623772991536150574797728020, 17892896922783323211039615576502272003, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624, 20, 334451179464935957639413636464327096188622800654, 536786396616004077450116777989093620235470794], 'label': '12383472844800000000.a.18._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982372
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [536786370829181143688864338329671277042001260, 78680435798248898755687, 62790242792323602706123791844660171407572833271, 17366636174469865339622465945041965368, 621068928815030381311752892808, 62763086401918385051778940446991716333067222330, 711374856202080, 82114922944801001957214724204921785351689490000, 4, 7134671351898739, 13516122786647048, 1596967377967222536748310239909425974415405428, 83174360538113054126537557185415058317216530548, 1569440158860529709771009925494472690838831920, 19939437484288567, 526262294936264171689872475439287748, 631555722973122053179205260812, 709643057146789592788718874596866503512676453688, 51123, 5780, 125609932371610784393606295977943288732998308497, 82114550951474194666068856705987376685290808311, 19939438442730263, 12, 10080, 27899803425359881283039518846343646217949373, 61221173749783015361096597974138560460818998918, 384519033081308176, 41855945143746122881881157773757913622952815385, 21777738900836704340258118244, 14135755109575018809507146095714490395584025, 526261989645221621978552141648597779, 1175469765704105685128, 20934668469130129512795321341005274289430765920, 753124662951591427388308810928183758099251246611, 125073137179600311121856870158190100128012099167, 14135755364465311787321100983026358579633299], 'label': '12383472844800000000.a.3._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982373
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [27527523820441603304329282803356987631992899, 536786396616004077450116777989093974696649038, 82, 26584438305805822164452046980382720030, 167452104637160049598903968347637310946673738122, 21966950837188549587763645674461340158745112323, 21457691382084437673328499647153213742482533181, 526261673867387060334436043480064020, 365290988654592020, 26058175695090536588915928623379360029, 885706638250769192517342779631730290591, 82114551255390302504501224930747090712259255719, 26584437368957252621065929677865888023, 26584464820201022007914413500184952880, 8691541067242753642013689242092448020, 62253828423767641920502598897733151119057437353, 26313083693369353016728559290106784020, 1266799911147536523292825, 53952413029061235822775, 12972960015, 61730804911919326071521005403594926135788556136, 17637988913211644444021332377600000015, 26584437368957226717970718610140160015, 376610217984020, 3, 53952034933325168650136, 669397842508631739570025567594284452930065059875, 53952034933325168726459, 794994000159281181735503285797160448865489206873, 19562808545280015, 2507696727418774827936015, 378095736067177064, 82114922944800984578173954383403250617201199361, 17366635237623772991536150574797728020, 17892896922783323211039615576502272003, 20934668469130129512795321341005274289430765920, 20, 536786396616004077450116777989093620235470794], 'label': '12383472844800000000.a.18._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982374
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 9, 'diagramx': None, 'generators': [27527523820441603304329282803356987631992899, 536786396616004077450116777989093974696649038, 82, 26584438305805822164452046980382720030, 21966950837188549587763645674461340158745112323, 21457691382084437673328499647153213742482533181, 526261673867387060334436043480064020, 365290988654592020, 26058175695090536588915928623379360029, 885706638250769192517342779631730290591, 82114551255390302504501224930747090712259255719, 26584437368957252621065929677865888023, 26584464820201022007914413500184952880, 8691541067242753642013689242092448020, 62763086401918385051778940446991716333067222330, 62253828423767641920502598897733151119057437353, 26313083693369353016728559290106784020, 1266799911147536523292825, 53952413029061235822775, 12972960015, 61730804911919326071521005403594926135788556136, 17637988913211644444021332377600000015, 26584437368957226717970718610140160015, 376610217984020, 3, 166942844886814932258887116177695407393041210786, 53952034933325168650136, 669397842508631739570025567594284452930065059875, 53952034933325168726459, 794994000159281181735503285797160448865489206873, 19562808545280015, 2507696727418774827936015, 378095736067177064, 82114922944800984578173954383403250617201199361, 17366635237623772991536150574797728020, 17892896922783323211039615576502272003, 20934668469130129512795321341005274289430765920, 20, 536786396616004077450116777989093620235470794], 'label': '12383472844800000000.a.18._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '18.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '18._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982375
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 5767, 17683523988654514807086723977040, 19562821518240019, 14135746689370237628871742167571574034522754, 523394610793391034755267003510077167725328503, 42378595767885917334453017032826344350563328112, 1596968238141928494770174529256940019774783899, 1569439871784804614414430326640753505431202563, 145471020191525513091339851220529484757839480974, 1569440444883758908648156159843251675291395779, 550922134613868604400438116809358186064381354, 711393577261920, 61716668861585193482617116615152575997631845070, 1582832222014821159931982124605177369910623291, 925553903285559933671546978652, 230821971747620295004717174729360623976289346624, 518918411, 3, 82128314695873863490788794461479019561450014104, 62790613596035895904264098803677207433133157297, 17892896911491185954485640561184912019, 20398254665261221013258219019884487921826643767, 526262599421290345894746299818070415, 10080, 1046045235459464822941382401254905143065431040, 51704033477777178352576, 19679033531, 2248020683605828535059, 9217802752402329764752882780864575375, 20934668469130129512795321341005274289430765920, 20, 14135755635819303151138743279249448240118407, 12972960000, 20425781598344675788715982307240186580909257076], 'label': '12383472844800000000.a.24._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982376
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 5767, 17683523988654514807086723977040, 19562821518240019, 14135746689370237628871742167571574034522754, 523394610793391034755267003510077167725328503, 42378595767885917334453017032826344350563328112, 1596968238141928494770174529256940019774783899, 1569439871784804614414430326640753505431202563, 1569440444883758908648156159843251675291395779, 550922134613868604400438116809358186064381354, 711393577261920, 61716668861585193482617116615152575997631845070, 1582832222014821159931982124605177369910623291, 925553903285559933671546978652, 230821971747620295004717174729360623976289346624, 518918411, 3, 82128314695873863490788794461479019561450014104, 62790613596035895904264098803677207433133157297, 17892896911491185954485640561184912019, 20398254665261221013258219019884487921826643767, 526262599421290345894746299818070415, 10080, 1046045235459464822941382401254905143065431040, 51704033477777178352576, 19679033531, 2248020683605828535059, 230794436279888410419766086219021846878084972254, 9217802752402329764752882780864575375, 20934668469130129512795321341005274289430765920, 20, 14135755635819303151138743279249448240118407, 12972960000, 20425781598344675788715982307240186580909257076], 'label': '12383472844800000000.a.24._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982377
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [5767, 17683523988654514807086723977040, 19562821518240019, 14135746689370237628871742167571574034522754, 523394610793391034755267003510077167725328503, 42378595767885917334453017032826344350563328112, 1596968238141928494770174529256940019774783899, 1569439871784804614414430326640753505431202563, 1569440444883758908648156159843251675291395779, 550922134613868604400438116809358186064381354, 711393577261920, 61716668861585193482617116615152575997631845070, 925553903285559933671546978652, 230821971747620295004717174729360623976289346624, 518918411, 3, 82128314695873863490788794461479019561450014104, 41346687460565058025882151413018183427630185033, 62790613596035895904264098803677207433133157297, 17892896911491185954485640561184912019, 20398254665261221013258219019884487921826643767, 526262599421290345894746299818070415, 41332551740197012014692362089470787748833486814, 10080, 1046045235459464822941382401254905143065431040, 51704033477777178352576, 814318681188773643129332267300430111269408252120, 19679033531, 2248020683605828535059, 9217802752402329764752882780864575375, 20934668469130129512795321341005274289430765920, 20, 14135755635819303151138743279249448240118407, 12972960000, 20425781598344675788715982307240186580909257076], 'label': '12383472844800000000.a.24._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982378
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [82128314713240516401452217839302612959436898660, 11292186814653350228852355840, 86404, 77607147582123653900168, 753675585068830402222313924492930955914155285805, 104, 376610217989763, 1189877644625454331303722986840033577612, 131811, 5763, 82128314695347627732833965056908292173773691524, 251206081245582151754765904661979753812356757680, 19562808545411760, 1175105186084996938815, 61730804607476973970119564699638343669647059223, 315777265766172448500065167448, 3, 21471826815911251301000319631103500485796019764, 20935041062123883082604937529755636418242004636, 711393577261935, 11, 526262599421369025946025509447959616, 20398254665261221013258219019884487921826643767, 19160105055, 1046046415872648377836940607975356975800702184, 17638024291551858994444280844539735055, 27527506708732069261797103772400388964450652, 894907976727268937136870943529058074172, 27528696060097326032542427288081789343616096, 1582831606017309037717713366725000463218544019, 20934668469130129512795321341005274289430765920, 61194019444434762672942067827911661139287990986, 13516122786652804, 20948433099236435651839784936237446703146396893, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.24._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982379
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 1596967352180399917955285826098864228314716248, 21444299318412124777482715391663471376930469200, 21471826841952972498394178463292351867952469239, 295241049339988959923113761209804130491, 270544163759891386561460786358159373334445503956, 536786674473953261876004968141647698235862455, 90739, 8691540784535492271158177568042650256, 1569439871784804614414430326640753505431202563, 80644, 1582831623129019530384097997041505392410230951, 4, 21777738900837415696392233044, 1569439872039713222468799613030434887388170167, 62240063776031570305793720190548767502259731767, 590465625540937733655023032142844952343, 6758061133950016, 376610218064647, 14135746418017171817689512591832345924602740, 5760, 6423297014615055, 53952400601192322754560, 26313084020438729165491018234160274068, 599412046534953914600432633585342424968, 20921277595055884738245292537223598930941237844, 631554430372266257490496384084, 1060180999244115708344385156324158297744640096, 305291636072841177511944243139, 165882665426147255080673884038133510676944559280, 925553903285579496473825411760, 305291713679995141086953132883, 536786370557828066583065306254086737396645771, 936846144052247505862646825044, 20934668469130129512795321341005274289430765920, 523394628431379947966936175547420652175450739, 19562808545280004], 'label': '12383472844800000000.a.24._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982380
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [270544163759891386561460786358159373334445503956, 121683, 1175091669968996228420, 9217802436625167406653436513690066571, 83188495997981571866968981293300298507420741703, 62790242792323602706123791844660171407572833271, 1073572741115655828681023408030643083451408480, 61730804607748337097649385848736221039644301936, 19160064019, 80644, 1569440444883758908648156159843251675291395779, 62253828423767641920502598897733151119057437353, 18721030332, 17892897227268375288613935495788282183, 4, 8691540762757779171234088608331514160, 6758061652833123, 1046045260991378528386618688141713795691814975, 10083, 9217802752402301613662974212870207360, 271354601141776986546332807989407364, 1596968264183685015659115719984833772929467475, 82114922962167601838273617257749922793759123211, 20398254665261221013258219019884487921826643767, 1046046415872648377836940607975356975800702184, 61716669764658466045466483355219286054485201934, 17637989828279996716326925612455754808, 14135772476192562422497426488823656863233932, 12972965763, 958129204, 61716668870276734244568234184057234228116590160, 41048, 21777738900855932366401161615, 925554602465116358430735935353, 609776690398526149032180013939, 271353675587873700992822440163030887, 1073572767428757227352128707748587101929132899, 315777912066603390869269787520, 20934668469130129512795321341005274289430765920, 376616924092819, 21777738900837080950914089047], 'label': '12383472844800000000.a.24._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982381
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [121683, 1175091669968996228420, 9217802436625167406653436513690066571, 83188495997981571866968981293300298507420741703, 62790242792323602706123791844660171407572833271, 1073572741115655828681023408030643083451408480, 61730804607748337097649385848736221039644301936, 19160064019, 80644, 1569440444883758908648156159843251675291395779, 62253828423767641920502598897733151119057437353, 18721030332, 17892897227268375288613935495788282183, 4, 8691540762757779171234088608331514160, 6758061652833123, 1046045260991378528386618688141713795691814975, 10083, 9217802752402301613662974212870207360, 271354601141776986546332807989407364, 1596968264183685015659115719984833772929467475, 815887377655415767591458346941176783530189175025, 82114922962167601838273617257749922793759123211, 20398254665261221013258219019884487921826643767, 61716669764658466045466483355219286054485201934, 17637989828279996716326925612455754808, 14135772476192562422497426488823656863233932, 12972965763, 958129204, 61716668870276734244568234184057234228116590160, 41048, 21777738900855932366401161615, 925554602465116358430735935353, 609776690398526149032180013939, 271353675587873700992822440163030887, 1073572767428757227352128707748587101929132899, 315777912066603390869269787520, 20934668469130129512795321341005274289430765920, 125086900316430929298102155506579481363307604474, 376616924092819, 21777738900837080950914089047], 'label': '12383472844800000000.a.24._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982382
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [82128315885233468366366689061706494778140860881, 7224991924, 86400, 41332551141319432624520309555503778777216665033, 62762714686984002310926875174088431960128011663, 62790242792323602706123791844660171407572833271, 1073572759008552761951734300137335508785493607, 26058176022159833955471879855190362771, 1569439871784804614414430326640753505431202563, 1175098093264533805939, 523394611319653307913765297987245731442272576, 958054320, 1073573036356703949114668230298707289004870311, 523394628431380535965811138999110679666290568, 1582831605491030311880844456197173540306550895, 14136927875474100327335799894419517358954118, 6758061133914731, 230821971747620295004717174729360623976289346624, 3, 11292213790676528824572098660, 11, 26058176631937168406388347776370882748, 20398254665261221013258219019884487921826643767, 27527506182453321647139938583717633985327444, 1596967351909045937882334246509199142534147688, 41040, 10080, 609776742102566050092362007608, 165882665426147255080673884038133510676944559280, 936846141804259566416805945615, 78680070172495604787135, 1073573036356712474697422071817415913605740231, 20934668469130129512795321341005274289430765920, 376628939043840, 20948432517709089410128208121309741665990861558], 'label': '12383472844800000000.a.24._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982383
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 3, 'diagramx': None, 'generators': [536786370829181143688864338329671277042001260, 78680435798248898755687, 62790242792323602706123791844660171407572833271, 17366636174469865339622465945041965368, 621068928815030381311752892808, 711374856202080, 82114922944801001957214724204921785351689490000, 4, 7134671351898739, 250146646353350809790070977540967808851562926695, 13516122786647048, 1596967377967222536748310239909425974415405428, 83174360538113054126537557185415058317216530548, 1569440158860529709771009925494472690838831920, 19939437484288567, 526262294936264171689872475439287748, 689782333429205422270455743997543996085240674593, 631555722973122053179205260812, 51123, 5780, 42365204616488215782434192815510972094991983397, 82114550951474194666068856705987376685290808311, 19939438442730263, 12, 10080, 27899803425359881283039518846343646217949373, 384519033081308176, 41855945143746122881881157773757913622952815385, 21777738900836704340258118244, 14135755109575018809507146095714490395584025, 526261989645221621978552141648597779, 1175469765704105685128, 20934668469130129512795321341005274289430765920, 753124662951591427388308810928183758099251246611, 125073137179600311121856870158190100128012099167, 14135755364465311787321100983026358579633299], 'label': '12383472844800000000.a.3._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '3.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '3._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982384
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [82128315885233468366366689061706494778140860881, 7224991924, 86400, 62762714686984002310926875174088431960128011663, 62790242792323602706123791844660171407572833271, 1073572759008552761951734300137335508785493607, 26058176022159833955471879855190362771, 1569439871784804614414430326640753505431202563, 1175098093264533805939, 523394611319653307913765297987245731442272576, 958054320, 1073573036356703949114668230298707289004870311, 523394628431380535965811138999110679666290568, 1582831605491030311880844456197173540306550895, 62253456438606165865052532624750379798931641556, 14136927875474100327335799894419517358954118, 6758061133914731, 230821971747620295004717174729360623976289346624, 3, 11292213790676528824572098660, 11, 26058176631937168406388347776370882748, 27527506182453321647139938583717633985327444, 1596967351909045937882334246509199142534147688, 41040, 1046046415872648377836940607975356975800702184, 10080, 609776742102566050092362007608, 165882665426147255080673884038133510676944559280, 936846141804259566416805945615, 78680070172495604787135, 1073573036356712474697422071817415913605740231, 20934668469130129512795321341005274289430765920, 376628939043840], 'label': '12383472844800000000.a.24._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982385
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17892897521267851522812806152193808480, 40795765352272567613560300926970265226283161712, 26058175706382050024951455714587616087, 26313083693369355264723968146590511443, 62790242792323602706123791844660171407572833271, 1060181285267335128201066667176574140694031353, 376616485012320, 62253828423767641920502598897733151119057437353, 526261695645177665223846166422419760, 61744197557390400482603207476878452125855560356, 17637988913211696148318040047869194175, 81591529514938790039401803099332436295814562484, 1060181571816816548992133001592624123859509696, 62267591577718175112584853711972686545735452286, 3, 5760, 12454041603, 186817705540431624884433121242347273319763366971, 958013284, 1582831605491030290103052778417917230230343764, 20398254665261221013258219019884487921826643767, 81605664974281080570044908147271832191116453208, 27899525830549733516121527543613305403311381, 1060181581026396157852506677332357215265861753, 753661449044554444403349931296274757635757891166, 14135755364465638855481080958364690529853295, 21777741148851675999977011223, 80643, 1175091669962729245440, 14136050860395504101103916075165788038947207, 536786379249368230049629835259301060872524903, 6266937615, 28151115894673554188183, 6758079854929219, 9217802131335390379932530696891472488], 'label': '12383472844800000000.a.24._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982386
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [17892897521267851522812806152193808480, 40795765352272567613560300926970265226283161712, 774568962278949974084958265086166624259754480679, 26058175706382050024951455714587616087, 26313083693369355264723968146590511443, 62790242792323602706123791844660171407572833271, 1060181285267335128201066667176574140694031353, 376616485012320, 62253828423767641920502598897733151119057437353, 526261695645177665223846166422419760, 61744197557390400482603207476878452125855560356, 17637988913211696148318040047869194175, 81591529514938790039401803099332436295814562484, 1060181571816816548992133001592624123859509696, 62267591577718175112584853711972686545735452286, 3, 5760, 12454041603, 958013284, 1582831605491030290103052778417917230230343764, 20398254665261221013258219019884487921826643767, 81605664974281080570044908147271832191116453208, 1060181581026396157852506677332357215265861753, 14135755364465638855481080958364690529853295, 21777741148851675999977011223, 80643, 1175091669962729245440, 14136050860395504101103916075165788038947207, 536786379249368230049629835259301060872524903, 6266937615, 28151115894673554188183, 6758079854929219, 9217802131335390379932530696891472488, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982387
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [21444299318412124777482715391663471376930469200, 925553957237614429818154110011, 270544163759891386561460786358159373334445503956, 13516134721730640, 62790242792323602706123791844660171407572833271, 27527532495536688753646951833486843513043211, 1569439871784804614414430326640753505431202563, 519004811, 10087, 40795764188707970726429665231520313534815490500, 41332550559265798194528097642592159179411602023, 62253455535796042443740648971144931316090311111, 13181357629440015, 1175098804621627052884, 17637989218505194690114008634795898179, 4, 61716668887372015490828757153164927470550142034, 61730804616168496733577278642839922759153985143, 21777816507977863149133363204, 12804747411466096, 1596967673191797844410220266675948118368927411, 13516122267734407, 27527532766899227480441377837416686829834263, 78680051655820805842583, 376610217994088, 536786396616003783450641616450295077723359379, 20921277595055884738245292537223598930941237844, 165882665426147255080673884038133510676944559280, 609776716199445899060127585139, 14135746418017161334669748968977638593440012, 62776849851356598734279134983750899282636220285, 17637988934989460951999195539187445852, 20934668469130129512795321341005274289430765920, 20, 271354002659808075431224462995420251, 20398254682627847093745405817248618511788134419], 'label': '12383472844800000000.a.24._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982388
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [21444299318412124777482715391663471376930469200, 925553957237614429818154110011, 270544163759891386561460786358159373334445503956, 13516134721730640, 20425781598336452329809869739808991431380522251, 62790242792323602706123791844660171407572833271, 27527532495536688753646951833486843513043211, 1569439871784804614414430326640753505431202563, 519004811, 10087, 40795764188707970726429665231520313534815490500, 41332550559265798194528097642592159179411602023, 13181357629440015, 1175098804621627052884, 17637989218505194690114008634795898179, 4, 61716668887372015490828757153164927470550142034, 61730804616168496733577278642839922759153985143, 21777816507977863149133363204, 12804747411466096, 1596967673191797844410220266675948118368927411, 13516122267734407, 27527532766899227480441377837416686829834263, 78680051655820805842583, 376610217994088, 1046046415872648377836940607975356975800702184, 20921277595055884738245292537223598930941237844, 536786396616003783450641616450295077723359379, 165882665426147255080673884038133510676944559280, 609776716199445899060127585139, 14135746418017161334669748968977638593440012, 62776849851356598734279134983750899282636220285, 17637988934989460951999195539187445852, 20934668469130129512795321341005274289430765920, 20, 271354002659808075431224462995420251], 'label': '12383472844800000000.a.24._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982389
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [21444299318412124777482715391663471376930469200, 925553957237614429818154110011, 270544163759891386561460786358159373334445503956, 13516134721730640, 62790242792323602706123791844660171407572833271, 27527532495536688753646951833486843513043211, 1569439871784804614414430326640753505431202563, 519004811, 10087, 40795764188707970726429665231520313534815490500, 41332550559265798194528097642592159179411602023, 62253455535796042443740648971144931316090311111, 13181357629440015, 1175098804621627052884, 17637989218505194690114008634795898179, 4, 61716668887372015490828757153164927470550142034, 61730804616168496733577278642839922759153985143, 21777816507977863149133363204, 12804747411466096, 1596967673191797844410220266675948118368927411, 13516122267734407, 27527532766899227480441377837416686829834263, 78680051655820805842583, 376610217994088, 536786396616003783450641616450295077723359379, 20921277595055884738245292537223598930941237844, 165882665426147255080673884038133510676944559280, 609776716199445899060127585139, 14135746418017161334669748968977638593440012, 62776849851356598734279134983750899282636220285, 17637988934989460951999195539187445852, 20934668469130129512795321341005274289430765920, 20, 271354002659808075431224462995420251, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982390
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 6, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 1596967352180399917955285826098864228314716248, 21444299318412124777482715391663471376930469200, 21471826841952972498394178463292351867952469239, 295241049339988959923113761209804130491, 270544163759891386561460786358159373334445503956, 90739, 8691540784535492271158177568042650256, 1569439871784804614414430326640753505431202563, 80644, 20920904707610528902975660058088286077493007340, 1582831623129019530384097997041505392410230951, 21777738900837415696392233044, 4, 1569439872039713222468799613030434887388170167, 41841810283297858039800264174580709526154106175, 590465625540937733655023032142844952343, 6758061133950016, 5760, 14135746418017171817689512591832345924602740, 376610218064647, 53952400601192322754560, 6423297014615055, 26313084020438729165491018234160274068, 599412046534953914600432633585342424968, 20921277595055884738245292537223598930941237844, 631554430372266257490496384084, 305291636072841177511944243139, 1060180999244115708344385156324158297744640096, 165882665426147255080673884038133510676944559280, 925553903285579496473825411760, 305291713679995141086953132883, 536786370557828066583065306254086737396645771, 936846144052247505862646825044, 20934668469130129512795321341005274289430765920, 523394628431379947966936175547420652175450739, 312862565135941880891806223512469222400, 19562808545280004], 'label': '12383472844800000000.a.24._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982391
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [526262610713504136570898521397089135, 1175091669956542070883, 20921277595327247234221354343103618736198386084, 61207411186306293363919163981777802237945992962, 62790242792323602706123791844660171407572833271, 62790242800743771499991729134855537211448344928, 621068851310064348749635213940, 1582831605491030605880242112546923512864819140, 1569439871784804614414430326640753505431202563, 7, 27527506708714985028922033608605712085903455, 251206081245582151754765904661979753812356757680, 4, 376610217994087, 61221546351460103656539912213390282000884672031, 19939431736229760, 17366635858692649029129930016754438411, 12804747930380171, 1582832195956637537741867616412619948971304910, 21981085706073474013614733947534728075749912346, 19228044865085291, 11292163159559218118138880019, 5772, 536786370557828066583039403146782278474588877, 936846118149153340922480454484, 51704046282536524800020, 61716669469417426189682815872395892559316991406, 1046046415872648377836940607975356975800702184, 21994477448471240462547852172676336353935450746, 14135746944278835199573942780272157662499241, 62253456438606130509285764334899970333546537607, 621068851310070772045691664500, 15, 1582831632075467376353014702413301161253104000, 20934668469130129512795321341005274289430765920, 1569439854673042607311396168813206026904428175, 518918415, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.P', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982392
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [42365205215365760437119045159031118833392989280, 19562815251302415, 16, 52879144375775631554660, 10096, 81619428441349051484925681214142682659614899193, 732727153454194586301390444733272326524589885427, 11292160911558139154500439044, 1582831606017309669272839495563376556669135309, 711381562259776, 41346686279642084717007445129721952620670764957, 83188496883951322966258911428551604970854729113, 131764, 41319158773714540025194327602816613240630358482, 61744196367241383877773486650980141789974175940, 3, 105212413462542401972170758418893189672354514005, 41346686279370730420350749342568126077856563760, 1073572741115655240683262277966324729465231987, 20920904698935398767058871948385160190795669956, 915068403976812470035921680566, 17637989228988885482178146386782181696, 23, 20398254665261221013258219019884487921826643767, 14135746418016246263862659093857534034022976, 1046046415872648377836940607975356975800702184, 27527506182452711870449540064326693595295453, 21777818756236125045197052265, 18721100892, 550922116975844030139535035891800851427426714, 958054339, 167465877229062316147271583136128316384191533923, 45364, 8946448771524734164299182268999120051, 82637946751610745497576900320960914992403481031, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.Q', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Q', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Q', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982393
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [27527506182452690092634207177422126586921044, 20398254083207568878374775589304614075137779954, 536786379249368524049154452605683312049372837, 45360, 27527506708714375252206907073203645687302263, 1175092381324692352084, 81619428441349051484925681214142682659614899193, 1596968255237218593679750996094939729058590759, 21777738900837080931754110003, 523394628686288240245901041104303212771549284, 7224981851, 4, 523394906289339488108917226209505057151452220, 83188496883951322966258911428551604970854729113, 271353686880032364549129415818122163, 518959440, 51704034189163969616647, 14135763784651483887556970072543855376721219, 41855945161112759023281716721657140120424371388, 5760, 292539013765570577003519416121758904458325818236, 9217802131333504357808308462386837844, 27528409781969874827660490393915343798716012, 20398254665261221013258219019884487921826643767, 1046046415872648377836940607975356975800702184, 167465867495335085219386595453319809650095705567, 27536649189405213756117208065370276073414390, 550922134342478962471696681745578301217542408, 17366635869178228091338220227611693460, 6758061652874179, 131775, 376610218105680, 1582831631804113689472956435255876181281287794, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.R', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.R', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.R', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982394
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 1, 'diagramx': None, 'generators': [270544163759891386561460786358159373334445503956, 52879138329083166783368, 523395497026273569867228504808657475281941877, 62790242792323602706123791844660171407572833271, 62240063481070142026807955688457400041433241677, 1240897053180244472818560, 19160069760, 19562815770230883, 271354296656774467102709532112727052, 536786674473944420514014770781578216036453735, 550923315545055322166001050168896698944485229, 376610217984000, 19939432175308815, 925553956164685792778566742416, 62253455848666794724208350833867213105363445747, 10084, 27527532240628712251923022264296856699026112, 17366635858692624301101114180615248721, 41842181694842349807980956910182289662223266633, 14135763784652398955933970374543878778422380, 27527506708714375252205834150613304830237431, 1207244280157077553655147938685989180151, 6423296495626080, 3, 12454051683, 6423296495696656, 518928480, 550922412471773601385759141872155479571781191, 1596967656096516271888665380693149369023920023, 20398254665261221013258219019884487921826643767, 21777791779968610121100333375, 27899803425359881283039518846343646217949373, 165882665426147255080673884038133510676944559280, 305291637247932512697142067763, 20934668469130129512795321341005274289430765920, 14135746418017161332136251335324978722572172, 773550442107462560921605156210281985150001306845, 82637946760030914889940242609678417150319953953], 'label': '12383472844800000000.a.4._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982395
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [126132945855017117342705071319587923287541089992, 42365205215365760437119045159031118833392989280, 19562815251302415, 16, 52879144375775631554660, 10096, 81619428441349051484925681214142682659614899193, 1569068764682673494987231400573916337824237955, 11292160911558139154500439044, 1582831606017309669272839495563376556669135309, 711381562259776, 41346686279642084717007445129721952620670764957, 83188496883951322966258911428551604970854729113, 131764, 41319158773714540025194327602816613240630358482, 61744196367241383877773486650980141789974175940, 3, 41346686279370730420350749342568126077856563760, 1073572741115655240683262277966324729465231987, 20920904698935398767058871948385160190795669956, 915068403976812470035921680566, 17637989228988885482178146386782181696, 23, 14135746418016246263862659093857534034022976, 1046046415872648377836940607975356975800702184, 27527506182452711870449540064326693595295453, 21777818756236125045197052265, 18721100892, 550922116975844030139535035891800851427426714, 958054339, 167465877229062316147271583136128316384191533923, 45364, 8946448771524734164299182268999120051, 82637946751610745497576900320960914992403481031, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.S', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.S', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.S', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982396
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 82128315885233468366366689061706494778140860881, 7224991924, 86400, 62762714686984002310926875174088431960128011663, 1073572759008552761951734300137335508785493607, 26058176022159833955471879855190362771, 1175098093264533805939, 523394611319653307913765297987245731442272576, 958054320, 1073573036356703949114668230298707289004870311, 523394628431380535965811138999110679666290568, 1582831605491030311880844456197173540306550895, 1073573340799081671624655528079881563924364808, 14136927875474100327335799894419517358954118, 6758061133914731, 230821971747620295004717174729360623976289346624, 3, 11292213790676528824572098660, 11, 26058176631937168406388347776370882748, 27527506182453321647139938583717633985327444, 1596967351909045937882334246509199142534147688, 41040, 1046046415872648377836940607975356975800702184, 10080, 609776742102566050092362007608, 165882665426147255080673884038133510676944559280, 936846141804259566416805945615, 78680070172495604787135, 1073573036356712474697422071817415913605740231, 20934668469130129512795321341005274289430765920, 376628939043840, 20948432517709089410128208121309741665990861558], 'label': '12383472844800000000.a.24._.T', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.T', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.T', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982397
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [21457691391030921191234465564808721763574552347, 82128315885233468366366689061706494778140860881, 7224991924, 86400, 62762714686984002310926875174088431960128011663, 1073572759008552761951734300137335508785493607, 26058176022159833955471879855190362771, 1569439871784804614414430326640753505431202563, 1175098093264533805939, 523394611319653307913765297987245731442272576, 958054320, 1073573036356703949114668230298707289004870311, 523394628431380535965811138999110679666290568, 1582831605491030311880844456197173540306550895, 14136927875474100327335799894419517358954118, 6758061133914731, 230821971747620295004717174729360623976289346624, 3, 11292213790676528824572098660, 11, 26058176631937168406388347776370882748, 27527506182453321647139938583717633985327444, 1596967351909045937882334246509199142534147688, 1046046415872648377836940607975356975800702184, 41040, 10080, 609776742102566050092362007608, 165882665426147255080673884038133510676944559280, 936846141804259566416805945615, 78680070172495604787135, 1073573036356712474697422071817415913605740231, 20934668469130129512795321341005274289430765920, 376628939043840, 20948432517709089410128208121309741665990861558], 'label': '12383472844800000000.a.24._.U', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.U', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.U', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982398
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [27527506182452690092634207177422126586921044, 20398254083207568878374775589304614075137779954, 536786379249368524049154452605683312049372837, 45360, 27527506708714375252206907073203645687302263, 1175092381324692352084, 81619428441349051484925681214142682659614899193, 1596968255237218593679750996094939729058590759, 1569068764682673494987231400573916337824237955, 21777738900837080931754110003, 523394628686288240245901041104303212771549284, 7224981851, 4, 523394906289339488108917226209505057151452220, 83188496883951322966258911428551604970854729113, 271353686880032364549129415818122163, 518959440, 51704034189163969616647, 14135763784651483887556970072543855376721219, 41855945161112759023281716721657140120424371388, 5760, 9217802131333504357808308462386837844, 27528409781969874827660490393915343798716012, 1046046415872648377836940607975356975800702184, 27536649189405213756117208065370276073414390, 550922134342478962471696681745578301217542408, 17366635869178228091338220227611693460, 270544164341665453623453978121512608947511591001, 6758061652874179, 131775, 376610218105680, 1582831631804113689472956435255876181281287794, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.V', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.V', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.V', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982399
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [912274638795067008982696784953344000000, 500096523902976000, 86400, 20425781580706685949950381698514209996800000025, 8852650863190120306704384000000, 2248008590226567168000, 766800, 1174320, 26313110850613053821218695806976000000, 27527506182452690092631959163161804800000108, 125073138674480593264792018703563869362002814678, 1569068764682673494987231400573916337824237955, 19939418763264000, 27527506182452690092631959163161804800000003, 271353675587871452984943575040000000, 83188496883951322966258911428551604970854729113, 958089600, 3, 8, 550922116975843703070107182711386931200000086, 13413582720, 27439951015054247445135360000000, 711374856192000, 1175091669949317120000, 180623610720, 2509944722492866154496000, 356390973312578551873090827302575177156476982413, 10080, 361686488400, 8691549321409088520001184464896000000, 1569440141230755708117201699893527082420602367, 268280818560, 249713497313280000, 11292160911544957796352000000, 20934668469130129512795321341005274289430765920, 62790241602174586101293498851172076748800000086, 25903479730106474496000, 621068850134972678799360000000, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.W', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.W', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.W', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982400
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [21444299318412124777482715391663471376930469200, 925553957237614429818154110011, 270544163759891386561460786358159373334445503956, 13516134721730640, 62790242792323602706123791844660171407572833271, 27527532495536688753646951833486843513043211, 519004811, 10087, 40795764188707970726429665231520313534815490500, 41332550559265798194528097642592159179411602023, 62253455535796042443740648971144931316090311111, 1073573332115737821119761151376091599797992376, 13181357629440015, 1175098804621627052884, 17637989218505194690114008634795898179, 4, 61716668887372015490828757153164927470550142034, 61730804616168496733577278642839922759153985143, 21777816507977863149133363204, 12804747411466096, 1596967673191797844410220266675948118368927411, 13516122267734407, 27527532766899227480441377837416686829834263, 78680051655820805842583, 376610217994088, 536786396616003783450641616450295077723359379, 20921277595055884738245292537223598930941237844, 165882665426147255080673884038133510676944559280, 609776716199445899060127585139, 14135746418017161334669748968977638593440012, 62776849851356598734279134983750899282636220285, 17637988934989460951999195539187445852, 20934668469130129512795321341005274289430765920, 20, 271354002659808075431224462995420251, 20398254682627847093745405817248618511788134419], 'label': '12383472844800000000.a.24._.X', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.X', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.X', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982401
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [21444299318412124777482715391663471376930469200, 925553957237614429818154110011, 270544163759891386561460786358159373334445503956, 13516134721730640, 20425781598336452329809869739808991431380522251, 62790242792323602706123791844660171407572833271, 27527532495536688753646951833486843513043211, 82128315607104209997873529509645412164830176191, 519004811, 10087, 40795764188707970726429665231520313534815490500, 41332550559265798194528097642592159179411602023, 13181357629440015, 1175098804621627052884, 17637989218505194690114008634795898179, 4, 61716668887372015490828757153164927470550142034, 61730804616168496733577278642839922759153985143, 21777816507977863149133363204, 12804747411466096, 1596967673191797844410220266675948118368927411, 13516122267734407, 27527532766899227480441377837416686829834263, 78680051655820805842583, 376610217994088, 1046046415872648377836940607975356975800702184, 20921277595055884738245292537223598930941237844, 536786396616003783450641616450295077723359379, 165882665426147255080673884038133510676944559280, 609776716199445899060127585139, 14135746418017161334669748968977638593440012, 62776849851356598734279134983750899282636220285, 17637988934989460951999195539187445852, 20934668469130129512795321341005274289430765920, 20, 271354002659808075431224462995420251], 'label': '12383472844800000000.a.24._.Y', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Y', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Y', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982402
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [79855161842425761792000, 79855155795739484160000, 354980193120, 1292601086657746145280000, 8691541089020492542600345288704000000, 18293300676702831630090240000000, 621068850134972678799360000000, 493715072987136000, 912274638795067008982696784953344000000, 523394610793391012977475223548225126400000000, 774073465932742089994811743261376945327575614606, 14135746418016246263783979029731737600000055, 1060180981351218469783798427229880320000000000, 62790241602445940397950220439129699123200000000, 41842181694842349807980956910182289662223266633, 3, 13412044800, 41841809397328088940800577928005943296000000023, 271353675587871452984943575040000000, 53952034933325168640000, 79855142614381854720000, 518918400, 86400, 62763086401918385051778940446991716333067222330, 518959440, 16, 79855142990992072704000, 609776689223427721003008000000, 690828378360485656040238932425457263282019874489, 21777738900836704321536000000, 79855527468179054592000, 1502640, 40823664252895989987221476427815154299336594673, 20948433099236435651839784936237446703146396893, 295767301540941329383015146455040000000, 104, 27527506182452690092631959163161804800000000, 2248001455555215360000, 8852650863190120306704384000000, 26313084314438203151694480015360000000, 96, 20934668469130129512795321341005274289430765920, 62267591890309414001596425867373795248105501456, 10080, 6267028320], 'label': '12383472844800000000.a.24._.Z', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.Z', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.Z', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982403
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [90743, 13516134721695380, 543802057138113367744019689099507389554439339585, 7134851975449699, 376878498802564, 958008963, 1266799911147535564800000, 1266799911147535564800004, 1582831605491057142055117510073634289582080000, 21458064260846511822654058311962166821570920902, 25903107681056686080000, 1569068764682673494987231400573916337824237955, 271353697365636256929328953262080000, 1266799911147535564805764, 83188496883951322966258911428551604970854729113, 27528400835556481644948320874904682496000000, 11292186814652638853038080000, 41346686279370730420350670662517181644800000003, 1060182171500252758136216379446918381568000000, 1046046129586270636732220842666796545966080000, 493004054069049603, 41346686279370730420350670662773276948009716340, 61730805797354592048106805742106030143406080000, 13516123225661388, 12804748369459204, 40809902610691246538708467606815668567474884483, 128047829533747216, 733786589285582553763412257945497160014687871879, 1266799911147803326700160, 20920904698664045407247619961019010645196800000, 23, 61744196384879382558704317333381754656241900180, 925553929188667614721966080000, 79855142614381854720000, 894381750115964470811834480359342080000, 27528695805189305977122237179447838965760000, 1569440141230755708117201699893527082420602367, 20934668469130129512795321341005274289430765920, 19563076826098564, 61744196958233279009189289028916299048401878880, 2248001455555215360000, 27461728753955084149456896000000], 'label': '12383472844800000000.a.24._.BA', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BA', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BA', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982404
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [61744197548172589509912294616308166239856817348, 82128315885233468366366689061706494778140860881, 7224991924, 86400, 62762714686984002310926875174088431960128011663, 1073572759008552761951734300137335508785493607, 26058176022159833955471879855190362771, 1175098093264533805939, 523394611319653307913765297987245731442272576, 958054320, 1073573036356703949114668230298707289004870311, 523394628431380535965811138999110679666290568, 1582831605491030311880844456197173540306550895, 1073573340799081671624655528079881563924364808, 14136927875474100327335799894419517358954118, 1596968550215100488354683061359249172823093943, 6758061133914731, 230821971747620295004717174729360623976289346624, 3, 11292213790676528824572098660, 11, 26058176631937168406388347776370882748, 20398254665261221013258219019884487921826643767, 27527506182453321647139938583717633985327444, 1596967351909045937882334246509199142534147688, 41040, 10080, 609776742102566050092362007608, 165882665426147255080673884038133510676944559280, 936846141804259566416805945615, 61744196975073644645859049973346483975608074868, 78680070172495604787135, 1073573036356712474697422071817415913605740231, 20934668469130129512795321341005274289430765920, 376628939043840], 'label': '12383472844800000000.a.24._.BB', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BB', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BB', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982405
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [270544163759891386561460786358159373334445503956, 52879138329083166783368, 523395497026273569867228504808657475281941877, 62790242792323602706123791844660171407572833271, 62240063481070142026807955688457400041433241677, 1240897053180244472818560, 19160069760, 19562815770230883, 271354296656774467102709532112727052, 536786674473944420514014770781578216036453735, 550923315545055322166001050168896698944485229, 376610217984000, 19939432175308815, 925553956164685792778566742416, 62253455848666794724208350833867213105363445747, 10084, 27527532240628712251923022264296856699026112, 17366635858692624301101114180615248721, 41842181694842349807980956910182289662223266633, 14135763784652398955933970374543878778422380, 27527506708714375252205834150613304830237431, 1207244280157077553655147938685989180151, 6423296495626080, 3, 12454051683, 6423296495696656, 518928480, 550922412471773601385759141872155479571781191, 1596967656096516271888665380693149369023920023, 20398254665261221013258219019884487921826643767, 21777791779968610121100333375, 165882665426147255080673884038133510676944559280, 305291637247932512697142067763, 20934668469130129512795321341005274289430765920, 62239692364487069413130793508324577887394201624, 14135746418017161332136251335324978722572172, 773550442107462560921605156210281985150001306845, 82637946760030914889940242609678417150319953953], 'label': '12383472844800000000.a.4._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982406
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [21444299318412124777482715391663471376930469200, 925553957237614429818154110011, 270544163759891386561460786358159373334445503956, 40823292562959080975173125208463739501294301556, 13516134721730640, 62790242792323602706123791844660171407572833271, 27527532495536688753646951833486843513043211, 519004811, 10087, 40795764188707970726429665231520313534815490500, 41332550559265798194528097642592159179411602023, 13181357629440015, 1175098804621627052884, 17637989218505194690114008634795898179, 4, 61716668887372015490828757153164927470550142034, 61730804616168496733577278642839922759153985143, 21777816507977863149133363204, 12804747411466096, 1596967673191797844410220266675948118368927411, 13516122267734407, 27527532766899227480441377837416686829834263, 78680051655820805842583, 376610217994088, 61716669469417426189682815872395892559316991406, 1046046415872648377836940607975356975800702184, 20921277595055884738245292537223598930941237844, 536786396616003783450641616450295077723359379, 165882665426147255080673884038133510676944559280, 609776716199445899060127585139, 14135746418017161334669748968977638593440012, 62776849851356598734279134983750899282636220285, 17637988934989460951999195539187445852, 20934668469130129512795321341005274289430765920, 20, 271354002659808075431224462995420251, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.BC', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BC', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BC', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982407
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [21444299318412124777482715391663471376930469200, 925553957237614429818154110011, 270544163759891386561460786358159373334445503956, 13516134721730640, 62790242792323602706123791844660171407572833271, 27527532495536688753646951833486843513043211, 519004811, 10087, 40795764188707970726429665231520313534815490500, 41332550559265798194528097642592159179411602023, 1073573332115737821119761151376091599797992376, 13181357629440015, 1175098804621627052884, 17637989218505194690114008634795898179, 4, 61716668887372015490828757153164927470550142034, 61730804616168496733577278642839922759153985143, 21777816507977863149133363204, 12804747411466096, 1596967673191797844410220266675948118368927411, 13516122267734407, 27527532766899227480441377837416686829834263, 78680051655820805842583, 376610217994088, 61716669469417426189682815872395892559316991406, 536786396616003783450641616450295077723359379, 20921277595055884738245292537223598930941237844, 165882665426147255080673884038133510676944559280, 609776716199445899060127585139, 14135746418017161334669748968977638593440012, 62776849851356598734279134983750899282636220285, 17637988934989460951999195539187445852, 20934668469130129512795321341005274289430765920, 20, 271354002659808075431224462995420251, 20398254682627847093745405817248618511788134419], 'label': '12383472844800000000.a.24._.BD', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BD', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BD', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982408
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [82128315885233468366366689061706494778140860881, 7224991924, 86400, 62762714686984002310926875174088431960128011663, 1073572759008552761951734300137335508785493607, 26058176022159833955471879855190362771, 1569439871784804614414430326640753505431202563, 1175098093264533805939, 523394611319653307913765297987245731442272576, 958054320, 1073573036356703949114668230298707289004870311, 523394628431380535965811138999110679666290568, 1582831605491030311880844456197173540306550895, 14136927875474100327335799894419517358954118, 6758061133914731, 230821971747620295004717174729360623976289346624, 3, 11292213790676528824572098660, 61730805493709865053401168277168505864355935420, 11, 26058176631937168406388347776370882748, 20398254665261221013258219019884487921826643767, 27527506182453321647139938583717633985327444, 1596967351909045937882334246509199142534147688, 41040, 10080, 609776742102566050092362007608, 165882665426147255080673884038133510676944559280, 936846141804259566416805945615, 78680070172495604787135, 1073573036356712474697422071817415913605740231, 1569440158589167508613223771573481923188903150, 20934668469130129512795321341005274289430765920, 376628939043840, 42378596358614680986089187692771624752221228060], 'label': '12383472844800000000.a.24._.BE', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BE', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BE', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982409
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 12, 'diagramx': None, 'generators': [26584437368957276173740222560993280000, 40795764162921175232614437282991869678477312000, 45360, 958003200, 19562808545280008, 25, 26584437368958545221652825651773440000, 355419187200, 26584437368957224469706744791040000000, 82651710495755541669286910029489454317116732793, 20920904707881882284558930638846257254277120000, 62763086401918385051778940446991716333067222330, 4, 550922116975843703070107182724568288829440055, 271353675587871452984943575040000000, 41842181694842349807980956910182289662223266633, 8691540468759494377793480851292160000, 27527506182452690092631959163161804800000000, 87218208000, 894908003252958182841073141284864000000, 62253455231616758644487175647612087578398720000, 17366653226439448247314241796833280000, 250048261951488048, 885961527955746116073023046942720000000, 5760, 689782333429205422270455743997543996085240674593, 754170707273689492858373927073577820440946012828, 23, 1189622736615882627808810358538240000000, 180623520000, 711374856192012, 1175091669949317120000, 771120, 371714285150208078, 19562808545280078, 8691541383022450672594456536514560000, 26841466486742364681928704000000, 20934668469130129512795321341005274289430765920, 2534672732080677027840000, 12972960000, 82637946751610745497576900320960914992403481031, 20948433099236435651839784936237446703146396893], 'label': '12383472844800000000.a.24._.BF', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '24.BF', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '24._.BF', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982410
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [536786683165502583281803321848948512220041610, 27527532495554372277636679251656308575120521, 62240063498165441576852869705275295273539696565, 27527523549087927716407198201382785766314095, 814841331821341899012081876070991262844460252836, 2248002166949750666176, 9767719215462406337124507244803, 26851952143411707749503868524812, 609776689223428432397024301367, 42378596080748490669711682215133023084299175132, 7, 42365204008121497942593677878897348623327527624, 915068325296268898527925283768, 10084, 271389347927509460651405937005558400, 711374856202100, 3, 121684, 519009124, 18609077891940055889313005158320, 62240064661993098272824953701137547854653317853, 646300419183680334806880, 21777738900836704341215114183, 1569439845726628908837128854525022695320666732, 35694117429787634737773512822456, 26313101682185002472074234114449136564, 7224946563, 8691567298932605112735535230486691788, 1046045252308061225352568900202072833315996090, 1862469206304373905683760, 20934668469130129512795321341005274289430765920, 17892914922084601184502848980149110917, 523394610793426707094879108568243889733635918, 773550442107462560921605156210281985150001306845, 61221546941662552910798339842415194463751756061, 815901510359964641638909121785889724432535101972], 'label': '12383472844800000000.a.32._.A', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.A', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.A', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982411
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [80656, 1582831614182571052860806046549660334673785041, 1582831605491030595394664123248795543989994834, 1189877644614163462993149444393116588751, 519040095, 14135755635818399374975533634885300653682560, 814841331821341899012081876070991262844460252836, 17637997777154668545699778236923574976, 16, 21777738900836704340696109372, 20920904698664053932827841377685470487688668776, 7, 10087, 147054230786941403664322115074164500485636291193, 4, 1046045252299837776921053205408985891292154724, 1596967360600587320902276149467162667429929040, 26313083693369406968763157850118303368, 1596968238141928494770253209180548258689164216, 526261673867387060340859334227666572, 26584437368957225644799126128625397856, 9756427027574850294115528848003, 8691540457466142025497018228722768648, 20411647032586528561457576377801862416492732083, 131783, 327069374973677170477784144663, 20398254665261221013258219019884487921826643767, 40823292580851977582177964184976922058130209924, 305291636072853270896953548736, 12972960011, 376610736943447, 20934668469130129512795321341005274289430765920, 167465877229062316147271583136128316384191533923, 526261673867387060341570976406707860, 26058184559032861511043996570657729124], 'label': '12383472844800000000.a.32._.B', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.B', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.B', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982412
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [27527506182452701384819846744814320616438420, 26313083693369430623863336659124281619, 20411645860601754312124974036933551443551374171, 19562808545285767, 21777767051965068990756566903, 62790242792323602706123791844660171407572833271, 61207409996683565883394739464855395252636663620, 17637989828279970915625191061847484259, 26976017466663542409604, 80644, 53952041356640824371139, 4, 82114922953476070516974123966704097965823059780, 42364832040844679201609129902425071576375448998, 42365205215365769279283708787437676191698661626, 10083, 523394628686288556023091550658279501572549212, 1582831605762383367206398167527976437351396419, 327069374973677170471078122263, 271353686880032364542706118804262415, 82665101083798325259664987370400220956576294964, 79855143325776389904503, 42364832926543058342887783037766217238657812630, 1073572741115655839166550868022048947178133684, 12973046423, 14135764056005475252643660274946733056789128, 51132, 15, 40795764761806933557526682845978488601252982988, 62239692364487069413130793508324577887394201624, 17366635248916013758210541382403263367, 20934668469130129512795321341005274289430765920, 2248001455555215481684, 590991859774853485263549518808249699120, 773550442107462560921605156210281985150001306845, 815901510359964641638909121785889724432535101972, 519009132], 'label': '12383472844800000000.a.32._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982413
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [27527506182452701384819846744814320616438420, 26313083693369430623863336659124281619, 20411645860601754312124974036933551443551374171, 19562808545285767, 21777767051965068990756566903, 62790242792323602706123791844660171407572833271, 61207409996683565883394739464855395252636663620, 17637989828279970915625191061847484259, 26976017466663542409604, 80644, 53952041356640824371139, 4, 82114922953476070516974123966704097965823059780, 42364832040844679201609129902425071576375448998, 42365205215365769279283708787437676191698661626, 40809900507961854649278126889392748552863100168, 10083, 523394628686288556023091550658279501572549212, 1582831605762383367206398167527976437351396419, 327069374973677170471078122263, 271353686880032364542706118804262415, 82665101083798325259664987370400220956576294964, 79855143325776389904503, 42364832926543058342887783037766217238657812630, 1073572741115655839166550868022048947178133684, 12973046423, 14135764056005475252643660274946733056789128, 51132, 15, 40795764761806933557526682845978488601252982988, 17366635248916013758210541382403263367, 20934668469130129512795321341005274289430765920, 2248001455555215481684, 590991859774853485263549518808249699120, 773550442107462560921605156210281985150001306845, 815901510359964641638909121785889724432535101972, 519009132], 'label': '12383472844800000000.a.32._.D', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.D', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.D', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982414
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [11292163159566352770849548180, 14135746418016268041574583899913836314714731, 814841331821341899012081876070991262844460252836, 62790242792323602706123791844660171407572833271, 27527515128901145840720754614537535076522095, 2248002166930590561131, 19228043907117372, 550922117247197389950167698369987741759750327, 1046045234933202234812201262852787442144183060, 17366635259401537794980774181301401620, 42365205215365769279283708787437676191698661626, 26584437684734490235891663267691356819, 3, 41346687460828188862412578209831182295790769379, 8, 26976024224723718189375, 21966949934123534915257235551387993140637900819, 27527515400255758274629428546053781561242179, 27527506708714363960072971545712518624193135, 271353697365612601823480062967468896, 1060181007664337835495297148704095661586837721, 27527532240628994959211471095097449296386660, 42364832926543058342887783037766217238657812630, 86403, 79855149037697510486400, 376610218064648, 10095, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 518999063, 14135746944277931423357854029611362369616659, 773550442107462560921605156210281985150001306845, 815901510359964641638909121785889724432535101972, 14135755109583251198775327252481000485260652], 'label': '12383472844800000000.a.32._.E', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.E', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.E', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982415
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [11292163159566352770849548180, 14135746418016268041574583899913836314714731, 814841331821341899012081876070991262844460252836, 62790242792323602706123791844660171407572833271, 27527515128901145840720754614537535076522095, 2248002166930590561131, 19228043907117372, 550922117247197389950167698369987741759750327, 1046045234933202234812201262852787442144183060, 17366635259401537794980774181301401620, 42365205215365769279283708787437676191698661626, 26584437684734490235891663267691356819, 3, 41346687460828188862412578209831182295790769379, 8, 26976024224723718189375, 21966949934123534915257235551387993140637900819, 27527515400255758274629428546053781561242179, 27527506708714363960072971545712518624193135, 271353697365612601823480062967468896, 1060181007664337835495297148704095661586837721, 27527532240628994959211471095097449296386660, 42364832926543058342887783037766217238657812630, 86403, 79855149037697510486400, 376610218064648, 10095, 82651338511638313366335937336608820970211281366, 20934668469130129512795321341005274289430765920, 518999063, 14135746944277931423357854029611362369616659, 773550442107462560921605156210281985150001306845, 815901510359964641638909121785889724432535101972, 14135755109583251198775327252481000485260652], 'label': '12383472844800000000.a.32._.F', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.F', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.F', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982416
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 2, 'diagramx': None, 'generators': [536786388450751209764670249870567398768640000, 6423303721691539, 21777738900836704321536000000, 13516123227148083, 1596967369801942838081281682282360340480000000, 62790242792323602706123791844660171407572833271, 16, 815901140809884358205249264834882184161883367138, 35694117349932484988633088000000, 1596968550206877322630459187514032839557120000, 17366635248915936150582802154127360000, 616523773774298119104609528053760000000, 268280812808, 376610217984000, 315777214062132212662272000000, 81605664687731590296589516785635470566027269780, 4, 506143210181021391, 41842181694842349807980956910182289662223266633, 526261695645178840296288065126400000, 10088, 6423296495616007, 42392732417632095848533434265865364542015082307, 83160596481105711427558377568175065765093527717, 77607141158826639360000, 292511476551973776856891865953142129470757904480, 21981086296539072397307395516782410858496010095, 6423296495667135, 17999301201541536121749504000000, 229762526200652691534847786619064705448089368416, 1175091669949317120000, 6423297454396126, 6423296496715456, 14135746418016246263810955047198400184320000, 61207409996683556420967163447291728528015365783, 499762108496972961, 20934668469130129512795321341005274289430765920, 20, 710689102363829932858018342576937112940920176745], 'label': '12383472844800000000.a.4._.C', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '4.C', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '4._.C', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982417
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 8, 'diagramx': None, 'generators': [536786683165502583281803321848948512220041610, 27527532495554372277636679251656308575120521, 62240063498165441576852869705275295273539696565, 27527523549087927716407198201382785766314095, 814841331821341899012081876070991262844460252836, 2248002166949750666176, 9767719215462406337124507244803, 26851952143411707749503868524812, 609776689223428432397024301367, 42378596080748490669711682215133023084299175132, 7, 42365204008121497942593677878897348623327527624, 915068325296268898527925283768, 10084, 271389347927509460651405937005558400, 711374856202100, 3, 121684, 519009124, 18609077891940055889313005158320, 646300419183680334806880, 21777738900836704341215114183, 1569439845726628908837128854525022695320666732, 35694117429787634737773512822456, 26313101682185002472074234114449136564, 7224946563, 8691567298932605112735535230486691788, 1046045252308061225352568900202072833315996090, 1862469206304373905683760, 82651710218423853538066190972534972177302683479, 20934668469130129512795321341005274289430765920, 17892914922084601184502848980149110917, 773550442107462560921605156210281985150001306845, 523394610793426707094879108568243889733635918, 815901510359964641638909121785889724432535101972, 61221546941662552910798339842415194463751756061], 'label': '12383472844800000000.a.32._.G', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.G', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.G', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982418
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [80656, 1582831614182571052860806046549660334673785041, 1582831605491030595394664123248795543989994834, 1189877644614163462993149444393116588751, 519040095, 14135755635818399374975533634885300653682560, 814841331821341899012081876070991262844460252836, 17637997777154668545699778236923574976, 16, 21777738900836704340696109372, 20920904698664053932827841377685470487688668776, 7, 10087, 147054230786941403664322115074164500485636291193, 4, 1046045252299837776921053205408985891292154724, 1596967360600587320902276149467162667429929040, 26313083693369406968763157850118303368, 82651338207204139884707346595487845066730686837, 1596968238141928494770253209180548258689164216, 526261673867387060340859334227666572, 26584437368957225644799126128625397856, 9756427027574850294115528848003, 8691540457466142025497018228722768648, 131783, 327069374973677170477784144663, 40823292580851977582177964184976922058130209924, 305291636072853270896953548736, 12972960011, 376610736943447, 20934668469130129512795321341005274289430765920, 167465877229062316147271583136128316384191533923, 526261673867387060341570976406707860, 26058184559032861511043996570657729124], 'label': '12383472844800000000.a.32._.H', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.H', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.H', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982419
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [18721110971, 21457691668905272453526827277045109698842248885, 12454082656, 1175110898000449213444, 20411646129792822441061502902720260252416125488, 6758062091827215, 8691541067242755889777901276500970172, 271353697366284805349968008268556183, 80644, 710717000986324096580881065615998948605780675209, 27527524075350538429857382736971706998090819, 81605293616449691346920681583619002730710950281, 518999040, 1073572758753644741895124917642185761708307296, 20397882107781880727598747106900065988243286410, 3, 376616924047451, 27527523549088548785283236281366032033530163, 550922134342479855762878746459036351887161536, 11292163159566352789490809688, 526261673867389308336602954910602180, 41346687165340481530530662762239428476668298929, 1060180981877489301594953798444115934753981443, 1046045548067121035049172247331951500467200116, 131771, 536786379249368829343274567054872458986445412, 62762714695675533621744538967435136231070033241, 10080, 2248002166936777696096, 26058175695089916089442816027481988412, 82651710218423853538066190972534972177302683479, 20934668469130129512795321341005274289430765920, 52879144710546536669288], 'label': '12383472844800000000.a.32._.I', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.I', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.I', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982420
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [83188124864574597609017923690636720310191779901, 21457691668905272453526827277045109698842248885, 1175091669956542066567, 271353697368172002578329907540089692, 61716668878433790189515266044349378523002283530, 1175111232777022505052, 10087, 27527524075350538429857382736971706998090819, 2559400748803160211040575, 20935040766364830906409162142262581772375128435, 915068945795761239161981828416, 1073572758753644741895124917642185761708307296, 20411647355753838870605211123313859515367935432, 3, 12454167616, 121699, 19160074088, 27527523549088548785283236281366032033530163, 689782333429205422270455743997543996085240674593, 550922134342479855762878746459036351887161536, 11, 1060180981877489301594953798444115934753981443, 1046045548067121035049172247331951500467200116, 518928503, 51704046659127582846020, 62762714695675533621744538967435136231070033241, 536786379249368829343274567054872458986445412, 83174734339191381472538040962720962244532818526, 376616924138179, 26058175695089916089442816027481988412, 6758068358851211, 20934668469130129512795321341005274289430765920, 20, 21777741148838159895911469375], 'label': '12383472844800000000.a.32._.J', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.J', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.J', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982421
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [305291687776880367216949344085, 526261695645125961177898425710854332, 52879144375763177552644, 1060180981351227627726323593433139759673482303, 61716668878433790189515266044349378523002283530, 925553956164685081385508534983, 21457691095534956230756618072615331961627117959, 958008963, 27527506453806365681203665107654058327765140, 27527506182452711870396763364018742427267863, 7, 41332923421187507012485970937406234334928822599, 12804767090570183, 19678982420, 1060181580763265310030588821829922406400090787, 27527506453807291234406697721220415723489368, 21777738900843838992887813763, 20948805093089486627633530958807021447900368147, 21457691364717810656396629312465111881516254656, 3, 27527506453807280748828708909296237746058167, 925553956164820263530535772811, 5760, 21457692258844635678557763529289242040613893853, 26058202536557565048790505791234316205, 12454173380, 20920914432399699689804901292178189416546713487, 131783, 711387310320016, 82128314695347619184668128041709548370942227399, 894653069034282944799833569217362826183, 936846066445362441978488615520, 41063, 518928492, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 61207409996954936948508986829526377202605224992, 27537830112351692052686961393047261905353042, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.32._.K', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.K', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.K', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982422
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [305291687776880367216949344085, 526261695645125961177898425710854332, 52879144375763177552644, 1060180981351227627726323593433139759673482303, 61716668878433790189515266044349378523002283530, 925553956164685081385508534983, 21457691095534956230756618072615331961627117959, 958008963, 27527506453806365681203665107654058327765140, 27527506182452711870396763364018742427267863, 710717000986324096580881065615998948605780675209, 41332923421187507012485970937406234334928822599, 7, 12804767090570183, 19678982420, 1060181580763265310030588821829922406400090787, 27527506453807291234406697721220415723489368, 21777738900843838992887813763, 20948805093089486627633530958807021447900368147, 21457691364717810656396629312465111881516254656, 3, 27527506453807280748828708909296237746058167, 925553956164820263530535772811, 5760, 21457692258844635678557763529289242040613893853, 26058202536557565048790505791234316205, 12454173380, 20920914432399699689804901292178189416546713487, 131783, 711387310320016, 1046046415872648377836940607975356975800702184, 82128314695347619184668128041709548370942227399, 894653069034282944799833569217362826183, 936846066445362441978488615520, 41063, 518928492, 61207409996954936948508986829526377202605224992, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.32._.L', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.L', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.L', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982423
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [80656, 26313083715147093092657310158723856487, 14136337409876010631613646159860968538780227, 814841331821341899012081876070991262844460252836, 1073572741641916609257774616555845726713728099, 16, 271362833530372963966734793246412250, 21777740075941555629440563216, 550922125922292158815687208416362171906300325, 376629896966412, 599157139146451089289035793592790142128, 518999044, 550922116975843724847846083554514567952675847, 1175098093258785782420, 4, 42364832040844679201609129902425071576375448998, 271353686880032364537036062422835767, 6706108804, 5760, 7134677618836324, 126019, 42364832926543058342887783037766217238657812630, 82637574150459927412877296804054919247896138970, 14135764056005170767589334608826677684435204, 1190148998289750092476293088335019448460, 1190148998899529263493820369115497998202, 62239692364487069413130793508324577887394201624, 20934668469130129512795321341005274289430765920, 10100, 773550442107462560921605156210281985150001306845, 815901510359964641638909121785889724432535101972, 27527515400254843203823513768650138680204254, 915068405151411513158383285709, 1189622772298707894437397691424250055053, 82128315590000669326357371803496794974957265283], 'label': '12383472844800000000.a.32._.M', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.M', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.M', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982424
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [80656, 26313083715147093092657310158723856487, 14136337409876010631613646159860968538780227, 814841331821341899012081876070991262844460252836, 1073572741641916609257774616555845726713728099, 16, 271362833530372963966734793246412250, 21777740075941555629440563216, 550922125922292158815687208416362171906300325, 376629896966412, 599157139146451089289035793592790142128, 518999044, 550922116975843724847846083554514567952675847, 1175098093258785782420, 4, 42364832040844679201609129902425071576375448998, 271353686880032364537036062422835767, 6706108804, 5760, 7134677618836324, 126019, 42364832926543058342887783037766217238657812630, 82637574150459927412877296804054919247896138970, 14135764056005170767589334608826677684435204, 1190148998289750092476293088335019448460, 1190148998899529263493820369115497998202, 82651338511638313366335937336608820970211281366, 20934668469130129512795321341005274289430765920, 10100, 773550442107462560921605156210281985150001306845, 815901510359964641638909121785889724432535101972, 27527515400254843203823513768650138680204254, 915068405151411513158383285709, 1189622772298707894437397691424250055053, 82128315590000669326357371803496794974957265283], 'label': '12383472844800000000.a.32._.N', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.N', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.N', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982425
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [305291687776880367216949344085, 649000332994123162412083286311811630506438394273, 526261695645125961177898425710854332, 52879144375763177552644, 1060180981351227627726323593433139759673482303, 61716668878433790189515266044349378523002283530, 925553956164685081385508534983, 21457691095534956230756618072615331961627117959, 958008963, 27527506453806365681203665107654058327765140, 27527506182452711870396763364018742427267863, 7, 41332923421187507012485970937406234334928822599, 12804767090570183, 19678982420, 1060181580763265310030588821829922406400090787, 27527506453807291234406697721220415723489368, 21777738900843838992887813763, 20948805093089486627633530958807021447900368147, 21457691364717810656396629312465111881516254656, 3, 27527506453807280748828708909296237746058167, 925553956164820263530535772811, 5760, 21457692258844635678557763529289242040613893853, 26058202536557565048790505791234316205, 12454173380, 20920914432399699689804901292178189416546713487, 131783, 711387310320016, 82128314695347619184668128041709548370942227399, 894653069034282944799833569217362826183, 936846066445362441978488615520, 41063, 518928492, 62239692364487069413130793508324577887394201624, 61207409996954936948508986829526377202605224992, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.32._.O', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.O', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.O', 'subgroup_fusion': None, 'weyl_group': None}
  • id: 5982426
    {'ambient': '12383472844800000000.a', 'aut_centralizer_order': None, 'aut_label': None, 'aut_quo_index': None, 'aut_stab_index': None, 'aut_weyl_group': None, 'aut_weyl_index': None, 'centralizer': None, 'complements': None, 'conjugacy_class_count': 1, 'contained_in': None, 'contains': None, 'core': None, 'coset_action_label': None, 'count': 16, 'diagramx': None, 'generators': [305291687776880367216949344085, 526261695645125961177898425710854332, 52879144375763177552644, 1060180981351227627726323593433139759673482303, 61716668878433790189515266044349378523002283530, 925553956164685081385508534983, 21457691095534956230756618072615331961627117959, 958008963, 27527506453806365681203665107654058327765140, 27527506182452711870396763364018742427267863, 7, 41332923421187507012485970937406234334928822599, 12804767090570183, 19678982420, 1060181580763265310030588821829922406400090787, 27527506453807291234406697721220415723489368, 21777738900843838992887813763, 20948805093089486627633530958807021447900368147, 21457691364717810656396629312465111881516254656, 3, 27527506453807280748828708909296237746058167, 925553956164820263530535772811, 5760, 21457692258844635678557763529289242040613893853, 689782333429205422270455743997543996085240674593, 26058202536557565048790505791234316205, 12454173380, 20920914432399699689804901292178189416546713487, 131783, 711387310320016, 82128314695347619184668128041709548370942227399, 894653069034282944799833569217362826183, 936846066445362441978488615520, 41063, 518928492, 62239692364487069413130793508324577887394201624, 61207409996954936948508986829526377202605224992, 82637946751610745497576900320960914992403481031], 'label': '12383472844800000000.a.32._.P', 'mobius_quo': None, 'mobius_sub': None, 'normal_closure': None, 'normal_contained_in': None, 'normal_contains': None, 'normalizer': None, 'old_label': '32.P', 'projective_image': None, 'quotient_action_image': None, 'quotient_action_kernel': None, 'quotient_action_kernel_order': None, 'quotient_fusion': None, 'short_label': '32._.P', 'subgroup_fusion': None, 'weyl_group': None}